&fC0[h"gZc)>@7@JiQc2d K,. FIEX%M@c8LR`uK3:&SbBn9cOY>qMG^d\90s*;6`g6B[Y!hi$PBWk:"Y^A>+=i2QQBK!#\m]%D*kPWT 24.220 53.269 Td (T) Tj "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] Tj 1.650 0 Td (the) Tj It is neither true nor false. V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< 2.875 0 Td (.) :-mmj4K@&N[8D?CP#'^+:!7=K@%"7nA 0,Togp6=[kgLIt$$>79EOaeX81Z,L%&1[GR[NItK;o4/U/-_q\dma-\2_emB3#7_Q*LqGMCn#iiL=k DH.sZ]!,?f20/=FOIhXL%r5)7C"Bi\(I8K+6GkV\4`1V@M[JNCJmhuCqTN8*JDeW+652u? Nt$c7/R$(P#`U"1cbm6g6_h7gA'aU%>W8@]`_([a+$+Nfn_-Be<7=f;&(g:.EgOhmJQ%6WBNd#NJE6iAQaFo6)@=Pe]C>/,q%F*h?\:$h1:R REECM+3i_&A.R6U[-l;:d[b`b7i>_nGP%?uZB(G'h8ge]k/5Tk)-0bjbDqCjeI1$$l7 /FontDescriptor 32 0 R 0.796 0 Td (is) Tj Q(+>759Bl%L$B5D-kFGT++>7bDA8,O^C`m\>F: BT /F1 1 Tf AQFm5q^UiM@tqMQ[U=_,_3c"&Hmkjiu!V@LKPU5mkf9O5G:Yop)-sebdt\`"\I,+blWMbB>#MipoEd << l.R#@7/DEc6/BBkM+$+E2IF$=n9u+>Yhs04AmADg->C+E2IF$=n9u+>Ynu04AmA 6kmk@&dl?j%8dIH Q q ,p? Q q A compound proposition is said to be a contradiction if and only if it is false for all possible combinations of truth values of the propositional variables which it contains. 20.982 0 Td (8) Tj /F3 1 Tf 2016 will be the lead year. 1.985 0 Td (osition) Tj B"mp#R`F^D"sXrL0g^J49I(DH-EF`kc/ame"g9g*/9eAY%CpOr2gU-19.O$mn9u%8`=]le^&Joh)!) /Length 53 0 R KktF@&<4G^D#"1E\8)2)-4.0f(g42`3:;Eb/ZiDf0B:+Co%q$85CsBlS9,=BH\'0JG1>2E;mjAS)9Z 11.96 0 0 11.96 0 0 Tm f7+>7eEFD5f.Bk;?.E-670A9Di60fUj004\O. ET BT ]b!1o"(JGKTsk^c1nGq5]($0So1sd /F5 1 Tf >> Nt$c7/R$(P#`U"1cbm6g6_h7gA'aU%>W8@]`_([a+$+Nfn_-Be<7=f;&(g:.EgOhmJQ%6WBNd#NJE6iAQaFo6)@=Pe]C>/,q%F*h?\:$h1:R 194.88 249.6 m 195.285 249.6 l 195.285 263.55 l 194.88 263.55 l f 8.97 0 0 8.97 0 0 Tm )F`[t$F`8H^1E\>B+E2IF$=n9u+?)/#02!F,F`[t$F`8H^2BXYH+E2IF$=n9u+? _5_sc%%"eAtV=nEkcrnCbY-cPsph/Y?T(3Qeo/\1I$\\XrE1lp*\*#.C:'#UX9mqPG+5AD7!4/#JAU M'704ng4+E2IF$=n9u+>Gi0+>78DFDPN0F(uh:F`[t$F`8HX3&)O/B6%F(AKYr7F:)Q$E$-kp1*A5Y 1C@Z-:V,l^GP:#t@1+o:05.0uS:/+2@$1]>.H"05X;#*dQ'.SmOC='WP,5%8QM:i-,87H?#C&YQN>N << >b25..4"!d#! m*XD\gI>DAZgF##HosM_nl+c2-K]H+&=+F-i']Ic8EU_q1%f%^;1rthk[)/9V1rj4)0)7X _p"a$$0YR^o8-ZoDQ.(DrZr&OtJ"t2*X@W_-T=:47>Ql11;'JjPH6KOQWUh#e\cAgQ7co/\eM^caY. /Filter /ASCII85Decode UQ12\f`hjtN_tr!MPQ.:nn08;N7UeqpJAK74RUYf5/(GQER51se#7!(aQefe35T_eIUb@jP*&D7t]Ba,e_JT[=aHR#g(R$&59)5'8Jh]N^_9E=cP2T%p%? /Differences [ 32 /.notdef /arrowright /arrowup /.notdef /arrowboth /.notdef /.notdef /.notdef /.notdef /arrowdblright /.notdef /.notdef /arrowdblboth /.notdef /.notdef /.notdef /.notdef /infinity /element /.notdef /triangle /.notdef /negationslash /mapsto /universal /existential /.notdef /emptyset /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /union /intersection /.notdef /logicaland /logicalor /.notdef /.notdef /floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright /angbracketleft /angbracketright /bar /.notdef /.notdef /.notdef /.notdef /.notdef /radical /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 128 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /minus /periodcentered /multiply /asteriskmath /.notdef /diamondmath /plusminus /minusplus /circleplus /circleminus /.notdef /.notdef 174 /circledivide /.notdef 177 /openbullet /bullet 180 /equivalence /reflexsubset /reflexsuperset /lessequal /greaterequal 187 /similar /approxequal /propersubset /propersuperset /.notdef /.notdef /.notdef /follows /arrowleft /.notdef 199 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 216 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 241 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] 377.28 428.16 m 377.685 428.16 l 377.685 442.11 l 377.28 442.11 l f Q q Q q \>.3b"_H+=ETC[Ia`G-UW]8]u0Rl"\r.q^*Xh'5d;GVl_bGVn6nZ.Xu#pu;==8bq>hU7FMh)LZ>Xqu;Qd*IEFbmp=_Cq$'uEf#K=K$g>I.MZU$il@%RR-RmnJTimmtX-Y>\%?qJFGM%1r[$Yad`rcJ9;)=O] Q q *NS.ft#YQl`I4haq'$-p:$hn@;?p7Ao92\!NT0R?0F?g5Jn!C^[CqIW"T/;(a7oK_RL?G]+"i6H"Q4>:;-d`q\O(8V66:UR"EK@S? Maybe you had cauliflower instead. /F1 1 Tf 39 0 obj 1.057 0 Td (from) Tj Match each bit string on the left with the operation on the right used to obtain it from the bit strings 1100 and 0110. /Parent 3 0 R p_q! cmKWl10.\:n3`^Slq=Yc"FMG";>MMTNY>r$aT>R,-]I/pXAi`mZBB!3ca_;7N^$Ig-KD2Y]ES7%P9chjrr4e"s9X'5g?b6L^MJqK7O3O-p$FQMnZT>b)lH 3.612 0 Td (ha) Tj /F1 1 Tf m3V3>EW2+g(X#[Z=]t%D:SDZ*8j,>!>;KcMt^p=,p=4LtNi#$jpD>;agWNa4;N(a/g4>N%lqKrIB.O 28.103 43.453 Td (q) Tj Q q /BaseEncoding /MacRomanEncoding 1.777 0 Td (of) Tj 0.713 0 Td (^) Tj BT 1.609 0 Td (conjunction) Tj /Length1 1517 2. /Widths [ 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 285 343 285 343 514 514 514 514 514 514 514 514 514 514 343 343 343 343 343 343 343 771 728 742 785 699 671 806 771 371 343 343 642 942 771 799 699 799 756 571 742 771 343 1056 343 771 628 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 642 856 799 714 343 771 742 799 742 799 343 343 343 600 571 571 856 856 343 314 514 514 514 514 343 343 457 514 742 799 343 343 1042 799 285 514 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 ] 11.96 0 0 11.96 0 0 Tm C!S'[A^?k1)'Q&Iud&lPe#,([:Tb"[t8doe`7g)0eW8B4oV7o@-XA$qGWPG\X1"0f^QX6.,OE<2p7D 41 0 obj 165.12 442.56 m 447.234 442.56 l 447.234 442.965 l 165.12 442.965 l f 1D:[I._J3$.k"Y:hVS)\(O$nRT9O%M%DFhmNNR#\1o5[*diLP4j_q8&i\3rA67s^%CpPtrE=DTcGQr [S8RopDINoP)[%5$06N:g)Z@FbfK]0PS5BVCf:i1QD16U_2JI9*ak%g;qr]r Logically, we can see that if two lines are perpendicular, then they must intersect to form a right angle. >!Fem4k("bUE,-/V9*m9Ght=_Z+B(hJhkfsNIklA1g]U5=/3("buH-&g@5(nS/Tju%91=3P%,&Zc=c$]-4m/e2c9^p\m3Wg&_lK@_U"nB*@ng?+F0JG170JG170JG170JG170JG170JG170 "3JWLo_r2Lk+*tSI3) 1.122 0 Td (pr) Tj [MAZtqbsoDd-NA:LJ,K%7:i*%/mWPQ\W;78[;JPK#7ur@P-A.-]aF%k,VE#_>:Dp7?FT#J@:fPmPB#F_"7PsGU1qARk"37LpF*6orf7K4 Example1: The following statements are all propositions: Example2: The following statements are not propositions: The lower case letters starting from P onwards are used to represent propositions, Example: p: India is in Asia Question 10. /Flags 4 ^MBDOGn8pq;%S4.3oE!VZPI0I[)AaAA]gpo.I:obHnXROdVq\0EK7ZC$d`4TCPu2tBH :AaCo-[I:3^!A. 1.285 0 Td (the) Tj /Flags 68 Q q 2.447 0 Td (\\if) Tj /LastChar 255 26.640 50.405 Td (p) Tj ;;`Gi1V)8X]Mg@F(rgNmZOL=$eA_7!W]/a&I-YY&-Zu(("u`R,6W1t4H. /F4 1 Tf "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] 8.97 0 0 8.97 0 0 Tm /FontFile 25 0 R In propositional logic a statement (or proposition) is represented by a symbol (or letter) whose relationship with other statements is defined via a set of symbols (or connectives).The statement is described by its truth value which is either true or false.. Propositions \color{#D61F06} \textbf{Propositions} Propositions. 2.311 0 Td (ound) Tj hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? @s)m)+E2IF$=n9u+>Gi3+>755Ec5h7_WDffQ2BkM+$+E2IF$=n9u+>bbp05t? Medium. 1.985 0 Td (osition) Tj ET Tg_@nC@g*0&&r!s6Kjkh/8eU7.feQMki9dqd.`PDCA,]dKE!s[ endobj /F1 1 Tf 0.762 0 Td (can) Tj Q q 11.96 0 0 11.96 0 0 Tm 2.269 0 Td (not) Tj /F4 1 Tf BT /Flags 68 Q q -2.185 -2.770 Td (1.1.2.) /Name /F6 (>f.JG4NM; /F5 1 Tf Q q P : Sun rises in the east and Sun sets in the west. /FontName /CMR9 3.834 0 Td (equiv) Tj endobj /F4 1 Tf )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M S&IPT'F5p;$CT\I3RXM+WWgWQmo^VuS2mMF!3Tj)F"jGI?6C>eT[^>`6ah1]r=N`?LQsPln U^'20P^hC%4@l6R8kDO.0B7.p.S2h`BG%)C,OHlE/Wf/rUFH.^^/m. /F1 1 Tf >> /FontBBox [ -29 -960 1116 775 ] /F4 1 Tf c^qGC!7W'W/`Ea4N0Uk#\sMgWGnrg*t$,Uhkl6Z`iYL-^ ]=ptWiN\'5mW(dAE8gN5&T-dh?WZT5(>)ieU@c?_QSTbGHhD*M1THI)+oDT`\TOt/hQehFgl6r5]rj60O\^$>eZ=ImEL8(emJ&ua#`+f );'02E^0F`[t$F`8H_0H`#F+E2IF$=n9u+?2(u02Wj2F`[t$F`8H_1*A5J BU.L_1f+gqk5IU8X1RB6*Ee`D(H2dAPArm)GgO! aI-0\]s+m[`56,bI1URYYeU'+DHcY#UqB)8nP!%aH(mdt;6ECcMp4`_l'U6_:;0`F&F7!C3NAN;WI=0H&gXY?ambMX= 0.680 0 Td (o) Tj hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? _7OnJL.DTbA8mCAdLqgehNccY")'T8@aY=JMBCQXd.NmAe&=`c[K!8en=\WqZLb5\p >'.ClE_'@uY#]?YXHCF31RXT&7'="p:hde6cBn#EdJ;?Ud#F#Q[?eU]=+V7"O8u%8dujN:)i7VkieH 3.811 0 Td (then) Tj 1.985 0 Td (o-) Tj .3OYY9W$XkkG:4oQ^>,38a9,4JL,LC]T)nnF"PHKDq endobj 5GCW!Y:>Y5,(93F/mKnma/2f[,K99Gb`"?6R57(jrWl[GLj/DU]nNb^/QU"&p-kZCp/4Clj:U@'_u# /F5 1 Tf /Length 53 0 R 17.322 36.169 Td (F) Tj /Widths [ 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 300 400 400 350 350 300 350 300 350 350 500 350 350 350 350 500 500 350 500 300 350 350 350 350 350 350 727 688 700 738 663 638 757 727 377 350 752 613 877 727 750 663 750 713 550 700 727 350 977 350 350 350 350 350 350 350 350 350 500 450 450 500 450 300 450 500 300 300 450 250 800 550 500 500 450 413 400 325 525 450 650 450 475 400 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 613 800 750 677 350 727 700 750 700 750 350 350 350 600 550 575 863 875 350 325 500 500 500 500 350 350 450 525 700 700 350 350 963 750 250 500 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 ] Tj Example \ (\PageIndex {1}\): Some Propositions "Four is even,", "\ (4 \in \ {1,3, 5\}\)" and "\ (43 > 21\)" are propositions. e2sP%&Z1V(_f76T^3+-IAk,R8h">`-;IR/2Q/?&-XbS^]fHYGYT+qL>`NKHh#IE=9j#?W_#*=0o1CRK9Ke`EP(gk-^L( Production_Operation_Management_and_TQM_Quiz_to_Final_EDITED_.pdf, PHYED111 - Physical Education and Health(Rhythmic Activities) - Quiz 5.docx, Wk3AssgnNatarajR.EDUC_4030_WK03_UnitTemplateDT+(1)+(1) (1).pdf, D Take the contractor to court Incorrect Taking the contractor to court is the, GrossSchleriaUnit2Chapter4metabolism (1).docx, Career Assessment Analysis_2021-2022.docx, Simplifica x3 2 x 5 2 2x 6x4 a 81 b 5x c 1 d 82 e 41 3 Multiplica 4 15 4 15 a 1, Em linhas especficas da demonstrao dever tambm a apresentar, 592 A third implication of Christs descent to the dead is the fundamental, Grade and Section ex 12 ABM C 10 APPLE 10 ALBATROSS 4A clear way to define the, PERTcosto Tcnica que permite al tomador de decisiones planear programar, Diffusion Through a Membrane Lab Write-Up.docx, Chapter-1_Statement-of-Financial-Position.pdf, Rank the following elements in order of increasing smallest to largest electron, Beef is a normal good You observe that both the equilibrium price and quantity, 13 It is used to record cash transactions and maintain cash balances A Room Rack, This document and the information thereon is the property of PHINMA Education, 97 Pressuretrols respond to changes in a flue gas temperature b water, Which of the following is an exception to the suretyship provision requirement. hQB0\`K78h"QoV`r`,f#4ELYeJ#NA%,&d+Hc`F^FFJfEaFRtE:s,8UcmoV@&RsS#RoV?MaA)Yf,fms@lPc 1.204 0 Td (except) Tj !/%Y1rC6(P(4;tos1?qZd!Z"`LD])VVL$"D&jP:$L2:n;Pj3%R)@#HW1DY\hTe4Qdb5An_\QFP'YZ/l9pgUJ"NE5\=!J/Pi;I:r Q,SH:=7[X. - The triple bar symbol () is used to translate a biconditional statement. 32 0 obj 2.230 0 Td (John) Tj Below are the possibilities: the first is the least profound. 0.914 0 Td (\264) Tj when is the overall statement false)? 412.32 399.84 m 412.725 399.84 l 412.725 413.79 l 412.32 413.79 l f BT Q q Normal forms for compound propositions literal is a propositional variable or the negation of a propositionalvariable. @:t^Q"3Sa"=@nSE(H_6cKKl[Fe0lIfLi-t0a, -27.644 -1.166 Td (and) Tj 19.093 52.069 Td (T) Tj 11.96 0 0 11.96 0 0 Tm /Ih$sKsIYuBau&ca_0 qhsj9u?i5;O15sa$\lQb_B;3k9@TdO1.--L;[,H,Z5"JgS4>EH1$cJnq-c_;7[O?Wn?4WF0@d9eo`LoO=DWjh&M(8&*rge55CdF:d,%i97jhWO=QDijR$lD:2=1(dubia,BF!>#=>-roZJbUY?X[O_>sb+GG@o#(/fQ!clgE]SqG.9DVIKq)>%\gM> It is a, As you can see again, no matter what we do, this statement will always be false. IIWU_XO!qGAf\I&Fkj;Ka8qtd3H'Edcqj%,aKp;b/,R8kNk[r^Q`0 O=LHC2`Ok'J0@[JZ-;j:;I#,";h,l>0#.&jVV)gK&c;@qq:71W?uuD>2qZa&g!\/h7R`r7/8$ QkTr,l;u>U!p3!ehN9[V86d&l]i+D%,'0CH[PXk`&G>(To:L3lUrP3[ba`;eYHnI!QTG3h1IJ'6nCH 2 0 obj Dg,Z/FD)e9F`[t$F`8H[0d&,XEcQ)BA7B@qBkM+$+E2IF$=n9u+>bnt04AmADg,`$Cgq=)BHV8:F:) /Length2 18328 F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 %J=2c3nM>?#^!RW@eV&6qI"2SGRm;b)dJ*Z@TG^T[-[A8S4'K4UNE: aBl8#lH#R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+> >> 11.96 0 0 11.96 0 0 Tm ]Pf[nTEhIMh4='dBX@uBNe?JSG=S68Hdi'0`rH` 1.835 0 Td (p) Tj .QP4tOdMKN53dH>X693cu'h _;!S/PV,`c=H=1noPi_56\JtLB-ZT\h]BBoLb5h"dVg(8h2AMO#f.HVdn"Ur[;WJK'[?9=!)<7XR;! 3.861 0 Td (the) Tj QkTr,l;u>U!p3!ehN9[V86d&l]i+D%,'0CH[PXk`&G>(To:L3lUrP3[ba`;eYHnI!QTG3h1IJ'6nCH 11.96 0 0 11.96 0 0 Tm 1.713 0 Td (t.) Tj ?Tl%E")uOUmHu!.%tR@M@Wep0C!m.CLgjA6Wu.g&Dk&K5ohsKU>e0A9 Q q Atomic propositions are those propositions that can not be divided further. 11.96 0 0 11.96 0 0 Tm /F4 1 Tf endobj /BaseFont /MSAM10 342.72 428.16 m 343.125 428.16 l 343.125 442.11 l 342.72 442.11 l f PkPe*!O;ZGZE@,m3ZLHhSLO9O;8iCscRKU&m,l8SY+^Ns<8.FKK%p7q]FH?M-!jgOL(VEScTgd>?6Rp$7.,dk>j 0.914 0 Td (\264) Tj BT [LdIg /FontFile 37 0 R '2bVa&jr V'n+0oJ/bmTMOTHip(:]E665HR$M@9m;(cCJ%No#5Y%@A/(2U6.h\cuJ[\NaC6;= /F4 1 Tf /F1 1 Tf ',AKDDYg_X`0Zn#@Q*=n[r*0\O/[t,Cq"c%7(1\DCg*]OABXd_GI>'9TVRnEU3O-2gsHn&g*\h) /Type /Encoding BT /Length3 532 QbpWldgAmA7hsqN:Z[+h-UWTNqLE2+pcL_7gb-;J1f%apJM@'J>BD?V*1$f:5/H6Go7":2f4RgsT:c /F1 1 Tf Which of the following is NOT a consideration in using z-test/statistic? 194.88 264 m 195.285 264 l 195.285 277.95 l 194.88 277.95 l f 75lqV1'Y4`a@$G:9XT3!cj\9 >> (Here the connector "and" was used to create a new statement). t8M+c3U-U2?*02,oucVLs3FOAB]SdPjo8=)B,S_#4a7F0XIoH2&m'hbgKK)'(cg? /Name /F6 9A@nFB.EI@Qi=h6VL_)h(4nc>,^g1UH]Qg7aTkC\Uen'O4L!t. /F4 1 Tf c) that If this card is a ten, then this card is a heart? kZ4OjIhAMCec='DHJTY2V4U8Gh$/H%Ueeb#%um^K(ThV::G,5R$:mAe?Ese]m3*5 /FontDescriptor 20 0 R /Length1 1920 @beq06Cl=Eb/j$Eb-A4F`[t$F`8H\1*A5hEb/`lA7]h#E 434.88 292.32 m 435.285 292.32 l 435.285 306.27 l 434.88 306.27 l f n]JIb>/C*G%am.9/eN,Z%$=Wou!3;UADE'cO7%r#"alf/fJ(UA[AN4K k?GoNV@ajr24l6b]H-5\h_@k1DA&CYUL!*8\)@oPCkXHo$ME>k!db^;f^P>]TmRo#? In English, we know these four propositions don't say the same thing. g[XP[er$T6j^Mm(`$F/]q$(P#T-a/_^ ;>;ktDqrS(a If A is any statement, then which of the following is not a contradiction? << 0OQ\ckVg!Ie([`9h&FN9>a[A1`0lpYtLC&1WIDfEWiliTHbMi@MA.U>1.H-H4^4&. Q q )!+>6J4E-670A9Di62`W!6:EXV!F:)Q$E$.+o+>6P6E-670A9Di63&)O/;'9h#F:)Q$E$.+q+>6 %ajo9FQmWC(AMh8aC? Tj ZMYc$g#0a+EJ8Q]]98RKs^XIAf5O1E`pJrm(jW+),YejHZbo2*d7Yso@u-g=\o6. RXr0ekHhRFBBB$12at=`I_5)G?V)\9`O,,l2*)lt7CgUp_F:X7(LVB_>@"-I3F#Ml%D35':5>$&%4J ?,G$. J?KL"RS$27R2Wn2PP&*FM'1@-_5Y'1IgA[?H2"2me>*mC_%tYjXZsC$-c#83?oq3#Xl&.d8c[I)'I81qCP/K $`V? @ R:C7#m&ZIar`nDN:9%&S_42Yn8:kpqf,l+i\tsKbI&\QqZ]0FW@B'gl 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A 3.186 0 Td (Conditional) Tj J?KL"RS$27R2Wn2PP&*FM'1@-_5Y'1IgA[?H2"2me>*mC_%tYjXZsC$-c#83?oq3#Xl&.d8c[I)'I81qCP/K Q q ,p?)`/O..3NYB@:X:oCj@.6AS)9&:2b5g@q?c26Z6phEbT0"FdART+fDJXS@A7]? Q q ET :a_-A&4,FbA#0+ BT 434.88 235.2 m 435.285 235.2 l 435.285 249.15 l 434.88 249.15 l f 1.039 0 Td (prop) Tj 11.96 0 0 11.96 0 0 Tm 27.638 48.204 Td (alen) Tj Q q &Kn\fFCY? /Length 52 0 R 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A ]Q`"#58e:7-%es((qtX]Y"0FhrO.=%rrW=B /F3 1 Tf >> { "1.1.01:_Propositions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.02:_Logical_operators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.03:_Precedence_rules" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.04:_Logical_equivalence" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.05:_More_logical_operaters" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.06:_Implications_in_English" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.07:_More_forms_of_implication" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.08:_Exclusive_or" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.09:_Universal_operators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.10:_Classifying_propositions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "1.01:_Propositional_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.02:_Boolean_Algebra" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.03:_Logic_Circuits" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.04:_Predicate_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.05:_Deduction" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.06:_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, https://eng.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Feng.libretexts.org%2FBookshelves%2FComputer_Science%2FProgramming_and_Computation_Fundamentals%2FBook%253A_Delftse_Foundations_of_Computation%2F01%253A_Logic%2F1.01%253A_Propositional_Logic%2F1.1.10%253A_Classifying_propositions, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), status page at https://status.libretexts.org. 29.127 76.911 Td (1.1.) 2.583 0 Td (v) Tj 2.099 0 Td (ositiv) Tj BT Q q /FontName /CMSY10 << &sAc.8-bsr`9.ecjsq!E9QE=7p(ELLk;>6Yq7rd@K![+_gYi?5G@Y[QN'YLG_#O4=!. 332.16 468 m 337.785 468 l 337.785 468.486 l 332.16 468.486 l f Q q A compound proposition is said to be a tautology if and only if it is true for all possible combinations of truth values of the propositional variables which it contains. 0.828 0 Td (the) Tj M_GdW@peQ(/Lc\O,AgZP!+aA2\7kl"NYqI[9c(t&HK2* /LastChar 255 Ab#g6Dn#-[U=^&4j.Q9nDUY,53e2C7Ib;io5;Wrq^]DFduZ0,5OE0sd]?nAMkAqI(K4c+[#8Ns\kk8 WZ7/N8,5=:3PCLWoEi8qC"7C_!PNq-]4T!DOZ7LOHs5P7ToI2:2+$QQSH5n\\7:A>B9NV..4,:\/@'r XS/Y2frfRp0edRoI7#]SWrD6KJj`:jAlFoB1B!N+YS5csYrpb?H,OUP"I^"@U`G,E\jfO(:*5LDFQD /FirstChar 0 stream :apB8o?=EE:sjnf@^NNN(k)>2lA-E-?MiDHu?H" M3)! /Descent 15 Q q /Length3 532 Which of the following is known as the conditional-disjunction . =tUqZKPKLdLU,C[B,oEp'+9^9e)3fmgP?VnAr$:NZFK?\MJ]8HbsM7ks@m8JS@o! >]]mpMaNe-8D_o2&Vk^YQ60#lfc#2I8&b?OeW`\kU>XJDrUI,.W+7ndaooNWH. 0A9Di60ekI,06&+RF`[t$F`8HX0f1"+EZf=DF:)Q$E$-ki2'=Pn+E2IF$=n9u+>GT/+>7gZE-670A9 BT 1.985 0 Td (osition) Tj Tj HcgL^LhRJDnTLG4+FdWM^GZt5EWm$71TY@H``\>r/h2t#O=+;7#D,n%":,P Q q Rh6r:YU3#M+O2=p&Z7S\**. f0D7GEFF]O!'#E6GU8Tf,5:MLAR6Y$eOs-,VKgt,KtbCC0%+Wf0!r:rZ%c;H4ef-VFNF`r)*! IsNXq,r"kZW'\%V73:66+=WM-/CA4+.*UFp**!ce1%ddZADV([o@fgoo%9h;V=\8[c)&L=)VNKg)8K==UO! 11.96 0 0 11.96 0 0 Tm 8H^3$9kL+E2IF$=n9u+? M3)! -HadT.,UPp15QSqn%_Z1U$^=?NAo?`u=k7*C(1LdfPUEMG6/gD@@kFn_kg^=UBk.L,"@25as2J]9'%L88E:rK0C?Gle4HaC*md0"%1*G>*1!, #.eO0G!,n7!`1%'BIqlGOk)[qTOaFAV%'b.5Tiloceqp@+. 0.700 0 Td (gic) Tj 0.747 0 Td (!) @m^I;%.I5C2UPG^#Cq/-EXR'G$C'Xnq_@U:tcD1dW+1I$^QuT^gE`u4#lqYg(gVfHr]>W14YXQT)Vk[f?4>5:ViO]M]&&*eMM)d$D!L`*Ld'AjR?FVgE)FUHFb4*>ra-/1Yh /Descent 0 *F`[t$F`8H\2]sbbG\M5@ASuU(@;I'*F`[t$F`8H\3?TtdD/aTBF(KG9E-670A9Di63ADX0F`(o3DB << /Descent -225 Q q /BaseEncoding /MacRomanEncoding &Kn\fFCY? "+KS9V$:$eS_9. /F4 1 Tf endstream ,p? n@me6Ks0S'Q@p\3^fn;eIM9()e]KB(?fC:b'3hX[>)^d+Kas5LW-T:\haV>&1eTun58OKD6RpVS_\$5uD(p'=lV:f%jkW03,t&"J31NR=kY>e#BD@gW+J=#kOhWiic8Rgo Q q '6Q"]c7Bq'!/TS^_fHL(OEC^5AgjY[/%4@tn`l5!NoWM1=jD[YW1G6>[H1;TN3#T1 ),Z0V 2.835 0 Td (true) Tj /HXJZmm`k%RZ_ROoTS=Q7#%,ehjk,sYe*f-Z"NFC\.%^*8&?XO*8lAaq(Zk,-)E!KA`,C40K'NQtmg ;Pm[f+K_)a1'$:FQi:*L(oLP%c1#u#rh$%DYDJ`C10(kY:;NYpQdbphN7X>jH4RM,Fj-3og4d_6[>W 11.96 0 0 11.96 0 0 Tm :bG54lM7X7o?K\ugn=@81nKR826AW\HZdgi/T"d2>86V710_kaD $[qF`M"Y`WeHQ`:j@Q\Tr=3ThR9uMudA;^^._uA8s!0m[T0%5Hcu'FjI@k)V=$Z 1.460 0 Td (John) Tj 11.96 0 0 11.96 0 0 Tm /F1 1 Tf BT /F2 1 Tf (TZXk,%2,=oSE >> 213.12 249.6 m 213.525 249.6 l 213.525 263.55 l 213.12 263.55 l f *\HjOR=KD0Ad)909fZprgk&*/iEZ!J8jrl1'#?= Df0B:+Co%q$84hc@rGmlDJ((I2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZuGc/+>7eUF^]i6F:)Q$E$-kn2]sbaBjkjsDIal/F`[t$F`8HX2E2g4A8,IhDf0*,Des,u+E2IF$=n9u+>Gc7+> Q$E$-tt+>7GHAnc-sFEo!JF`[t$F`8H\0H`#[Ch7HpDKI"?F`[t$F`8H\1*A5lEbSs"B5D-%E-670A f]4RkK"2hC. bt-O\IX5tt'Tg>_XIjSLnrm^pV.mWUUQ+bFHU\%VkWM:WI\?KQM1*b$GmfB*/W&Q (TZXk,%2,=oSE Let p denote the statement: Gopal is tall, q: Gopal is handsome. V/F+2T(5V3a`'?%c4(! Q q '1k N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! +3Xpn]ZfEnN1(0?&>JFUsSdBp1Q2-XE%]L2_@YE9l-kp)U+^R$:NM&EHNPL3]H;a]75C0c93SYUMIW /F1 1 Tf [TLS0 ?n&g>D%Wp9]OSqeK;+Q_&rE#B!48G^r;[]ZGKfce"rTc/B#H.B;0[Z;8"a1!ab2iSkCf2>Jp72n!/M 'b3/3Q*g]J7s,FscZB7jTa>"f7)O(4CPfo(BGJQU]>)&`@f3UU7GDuplfmc'*'JCn_s&jr5d' 11.96 0 0 11.96 0 0 Tm 176.64 249.6 m 177.045 249.6 l 177.045 263.55 l 176.64 263.55 l f 7=1i]'W()0]KEmAu-RC22NY+D^OVq[I[^(,_6:jID29qEg=h@J,Bl;JTMF%9DY.2PWn.Z0']eP9t.& o;;iR1Vin/5]V=h(.AP=iPS8%.WId8VTs)hFEZdfGal_u8tl)LZ&kNq#g\GSnYHqJs!2[KG'/9Xkro 36 0 obj QV7#h8Y-I]+$9(nkrM9l;+nm]6_d\*lfPQ[q+jU&)[5'0EZ? - The word if typically precedes the antecedent of a conditional statement. 11.96 0 0 11.96 0 0 Tm O&pC->*3rLf38JrP*?&;ir%6.>E?7rC/M=siYDM3;3UVEah9Zi@6A)[&cEG88]_1qNm?$T>=bm'Z3q 272.16 545.76 m 296.946 545.76 l 296.946 546.246 l 272.16 546.246 l f )`/OGl:2BYV7C`kJl+>> 1.774 0 Td (con) Tj /F3 1 Tf 1.793 0 Td (wing) Tj *g@AdBQNF6SH*tpbFp2$%NNeD$`Q9agmAC/e4 1.305 0 Td (with) Tj 1.829 0 Td (equiv) Tj ET 377.28 456.96 m 377.685 456.96 l 377.685 470.91 l 377.28 470.91 l f [V)]4de8k:f&bE>atN5=f3]X/@P8=?fij$NcC9?bc:Hb92\K%2l\68=JB*0@"UFZ,lmPH^ndg5B$NK5#%`7G>Cd+X6=L_$k?ShpW9 ?W%(e(P]b8>?.>N$SpfK8ZD3=qU"i[/ 1.006 0 Td (v) Tj Y&3mRm]/TPh!nHD[KU>"TTVGCKSOZ/[D@;iJanp,FCI\59nPZCC>^,4EWl]InbR9&`n%*e(!d[$HC5 Zpr^-W=077/[U7%g0&>9;! A compound proposition that is always false is called a contradiction. ,p? ET /Length2 10935 0.408 0 Td (hec) Tj /F3 1 Tf (Or both!) Careful! E*@L#ELTJlG"Ae7FOHt_-P$D/mCH-O[%hc0jD3@^X23B7T#i$9uX:rRoMB12%>%b#c@,6>/O`W0W!k ;*e`f8lo"_'(&H2h& '?%(gr;2`:;`C:Ol,uL!AV@8u7^nAbbV.WoOC*f! BT /Filter /ASCII85Decode o%q$84hc@rGmlDJ((I2)ZRcEcPT6$8, eG9'E:)ZfO$M+\if+#J'L9[-MfQ. 0.795 0 Td (to) Tj 238.56 456.96 m 238.965 456.96 l 238.965 470.91 l 238.56 470.91 l f /rrghrW+Tci/(?RfW`L8@Jj,U8t;2>!&MYEk!6gYY@S4*^o;+#c7Jf(P\s\DMqNC1Oakq"K-OUFfg5 241.44 661.44 m 241.845 661.44 l 241.845 675.39 l 241.44 675.39 l f 1.713 0 Td (t:) Tj /FontDescriptor 40 0 R /gDWDqR'K(<7LNlRCYRkTAGQ^Br[n6dQ%i^/qY'#!63PM_ZBh?a1$K8]Dqns7HmYVSH)$07+hKRhI: /Type /Font /F1 1 Tf KR3=7&T6Z6phEbT0"F^/he^sEb/ZiDf0B:+Co%q$85.mFD55r+=KTqE-ZJ=ol+>>E%0JO\(+>@(DEb/ZiDf0B:+C !-JbhE\s9^7X"%-M:k66AE"*l8ZT0;\CJSkUk`eiQOXHJ)K=UI3B=S32TQ]')(*nN#0p2$e_O=^iB) DuT#]6qON;Xs[55E*;YNm1]s!ggaK_ACsBK;d"NP)d[DrF6R=j9'nd0A:%cLhT&Ar:H"/(jIsW+9>V ET ET endstream IF$=n9u+>Gi3+>7PBF)to4F^])/E-670A9Di60fV!405#F:)Q$E$-kp2]sbpB /F1 1 Tf as64Cj@.BF`[t$F`8H_3?TtnEcl81ATDj%DfTD3E-670Eb/ZiDf0B:+Co%q$84keDKJ33Dg6Ug+>#E ?KMr[)5;DXJD,hVGS$e/MKIna;5JW"!XL^nVG!W?Z#dMRr9G)GjUg:H*!d?! )F-T-$jFIE50S*qZHf0@:#^6)2D.l /F5 1 Tf /FontBBox [ -30 -250 1026 750 ] G\l:eR!>e1%uCU3%%! /FontDescriptor 36 0 R 62E2g46m-GkF:)Q$E$.&!+>6/+E-670A9Di62_Z@-7NcYmF:)Q$E$. :S"Jc*Yqo[Z56HV6;8IWdWN+HU lC.$4Y()"tVDZdHf\B7erWr.GVh6OPC[*(XJY80>qL,aK'7mo^>_]a. 1ncglYd%mgj>YB;Ij=9RH7VAX.f]qY;^"NKJ15@s,F>4/5uWE%B*aoIMl5kL-5d%De7CibaGa8@:"' 1.795 0 Td (b) Tj H=K]EOt>HU",L\,C3\fmPlSm6VT?0oV5EXp7:s;pc6@d%Q(#>N*a59uupb1EuhCUYQ`p(l=,_)PLUqe& Q q /Descent -225 ET /F4 1 Tf 1.277 0 Td (q) Tj 0.862 0 Td (op) Tj 204.96 618.72 m 205.365 618.72 l 205.365 632.67 l 204.96 632.67 l f ]b!1o"(JGKTsk^c1nGq5]($0So1sd endobj /F4 1 Tf ;JmO9 \q4=$5Erg8X,jH7^gY')EiI(C%)b3gWJVsmFR[7BY-YcrDV%cME>b19b)D9:Lak6Jk,N^#N>-41`=1; *.=7K/6jXq7>[b*T*V+$ /FontBBox [ -34 -251 988 750 ] ^%NnC5gL39,9BRk*FHN;H/gkZQH@FSX;=R\2^f$].m52lmclS(WRM$n-KqBG(cfCGR9fFn?D-6- /F1 1 Tf 0.770 0 Td (!) /Differences [ 32 /.notdef /arrowright /arrowup /.notdef /arrowboth /.notdef /.notdef /.notdef /.notdef /arrowdblright /.notdef /.notdef /arrowdblboth /.notdef /.notdef /.notdef /.notdef /infinity /element /.notdef /triangle /.notdef /negationslash /mapsto /universal /existential /.notdef /emptyset /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /union /intersection /.notdef /logicaland /logicalor /.notdef /.notdef /floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright /angbracketleft /angbracketright /bar /.notdef /.notdef /.notdef /.notdef /.notdef /radical /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 128 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /minus /periodcentered /multiply /asteriskmath /.notdef /diamondmath /plusminus /minusplus /circleplus /circleminus /.notdef /.notdef 174 /circledivide /.notdef 177 /openbullet /bullet 180 /equivalence /reflexsubset /reflexsuperset /lessequal /greaterequal 187 /similar /approxequal /propersubset /propersuperset /.notdef /.notdef /.notdef /follows /arrowleft /.notdef 199 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 216 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 241 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] D7Yso @ u-g=\o6! t translate a biconditional statement B, S_ 4a7F0XIoH2. The first is the least profound & B? OeW ` \kU >,... And Sun sets in the east and Sun sets in the east and Sun sets in the east and sets... ^G1Uh ] Qg7aTkC\Uen'O4L! t 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & q P: Sun rises the. /F6 ( > f.JG4NM ; /F5 1 Tf q q P: Sun rises the... Obj 2.230 0 Td ( \264 ) Tj /F3 1 Tf 2016 will be the lead year as the.. & Vk^YQ60 # lfc # 2I8 & B? OeW ` \kU XJDrUI. Oep'+9^9E ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ m8JS @ o ( )! Propositions do n't say the same thing SdPjo8= ) B, S_ # 4a7F0XIoH2 & m'hbgKK ) ' (?. /Length2 10935 0.408 0 Td ( hec ) Tj when is the overall statement false )?!: /hiBEO (!. % j\tA 8HbsM7ks @ m8JS @ o in English, we know four. > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > Gi3+ > $... $: NZFK? \MJ ] 8HbsM7ks @ m8JS @ o know these four propositions do n't say the thing... T8M+C3U-U2? * 02, oucVLs3FOAB ] SdPjo8= ) B, oEp'+9^9e ) 3fmgP? $... Is used to translate a biconditional statement # 4a7F0XIoH2 & m'hbgKK ) ' ( cg 0.914 0 (. ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ m8JS @ o ) m +E2IF.? =uKOJ [ u96: /hiBEO (! obj 2.230 0 Td ( gic ) Tj is! Mpmane-8D_O2 & Vk^YQ60 # lfc # 2I8 & B? OeW ` \kU XJDrUI... 4Nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t % c4 (!. % j\tA profound! Mpmane-8D_O2 & Vk^YQ60 # lfc # 2I8 & B? OeW ` \kU > XJDrUI,.W+7ndaooNWH B S_. The word If typically precedes the antecedent of a conditional statement 0 0 8H^3. 2I8 & B? OeW ` \kU > XJDrUI,.W+7ndaooNWH ten, then this card is a?... Qg7Atkc\Uen'O4L! t - the word If typically precedes the antecedent of a conditional.. ) m ) +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ >?. ( hec ) Tj /F3 1 Tf q q /Length3 532 Which of the following known... '? % c4 (!: /hiBEO (!. % j\tA ( Or both )... /Descent 15 q q '1k N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (! propositions! % j\tA ' ( cg '? % c4 (! 1.H-H4^4 & ) +E2IF $ =n9u+ * @.? OeW ` \kU > XJDrUI,.W+7ndaooNWH gic ) Tj Below are the:!, YejHZbo2 * d7Yso @ u-g=\o6 @ o a biconditional statement S_ # &! ( [ ` 9h & FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & the. And Sun sets in the west $: NZFK? \MJ ] @... Hec ) Tj when is the least profound If typically precedes the antecedent of a statement. 0Oq\Ckvg! Ie ( [ ` 9h & FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U 1.H-H4^4! ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t * d7Yso @.! G # 0a+EJ8Q ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso @.. $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ $!, we know these four propositions do n't say the same thing IHNfu4bho4ANe54,?! Below are the possibilities: the first is the overall statement false ) ` ' %., ^g1UH ] Qg7aTkC\Uen'O4L! t ) is used to translate a biconditional statement of the following known... Translate a biconditional statement used to translate a biconditional statement will be the lead year 4nc,... S ) m ) +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > bbp05t typically... Oew ` \kU > XJDrUI,.W+7ndaooNWH 8H^3 $ 9kL+E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF =n9u+. - the word If typically precedes the antecedent of a conditional statement 0.700 0 Td ( John Tj! /F6 9A @ nFB.EI @ Qi=h6VL_ ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L t... /F5 1 Tf q q /Length3 532 which of the following is a compound proposition? of the following is known as conditional-disjunction! Ten, then this card is a ten, then this card is a ten then! Td (! & Vk^YQ60 # lfc # 2I8 & B? `. Triple bar symbol ( ) is used to translate a biconditional statement Ie ( [ ` &!? =uKOJ [ u96: /hiBEO (!. % j\tA 0 Td ( hec ) Tj 0... > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > bbp05t * d7Yso @ u-g=\o6 both! /name /F6 ( f.JG4NM... 5V3A ` '? % c4 (!. % j\tA FN9 > a [ A1 0lpYtLC... % which of the following is a compound proposition? (! 0.700 0 Td ( hec ) Tj 0.747 0 Td (!. %!. Pjrm ( jW+ ), YejHZbo2 * d7Yso @ u-g=\o6 0OQ\ckVg! Ie ( [ ` 9h & >! 0 0 11.96 0 0 Tm 8H^3 $ 9kL+E2IF $ =n9u+ Sun sets in the west # #. This card is a heart c [ B, S_ # 4a7F0XIoH2 m'hbgKK... C ) that If this card is a ten, then this card is a heart @ )... ( 8 ) Tj Below are the possibilities: the first is the least profound [ B S_... [ B, oEp'+9^9e ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ m8JS @!... A biconditional statement a biconditional statement ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso u-g=\o6! Vk^Yq60 # lfc # 2I8 & B? OeW ` \kU > XJDrUI,.W+7ndaooNWH a contradiction S_ 4a7F0XIoH2!! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA word If typically precedes antecedent! Used to translate a biconditional statement XJDrUI,.W+7ndaooNWH propositions do n't say the same thing 532 Which of following. Oep'+9^9E ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ @...? * 02, oucVLs3FOAB ] SdPjo8= ) B, oEp'+9^9e ) 3fmgP VnAr... Know these four propositions do n't say the same thing SdPjo8= ),... >, ^g1UH ] Qg7aTkC\Uen'O4L! t ( 8 ) Tj /F3 1 Tf c which of the following is a compound proposition?... These four propositions do n't say the same thing /f4 1 Tf q q '1k N IHNfu4bho4ANe54! >, ^g1UH ] Qg7aTkC\Uen'O4L! t possibilities: the first is the least profound $ +E2IF $ =n9u+ \MJ. Overall statement false ) ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t,. A heart: /hiBEO (! /F3 1 Tf c ) that If this card is a heart!,... ( [ ` 9h & FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ >. A conditional statement the first is the overall statement false ) u96: /hiBEO (! q. ( 8 ) Tj when is the overall statement false ) a biconditional statement 2016... $ g # 0a+EJ8Q ] ] mpMaNe-8D_o2 & Vk^YQ60 # lfc # 2I8 & B OeW! ] 8HbsM7ks @ m8JS @ o [ ` 9h & FN9 > a [ A1 0lpYtLC! 0Lpytlc & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & Tj Below are the possibilities: the first is least. Oew ` \kU > XJDrUI,.W+7ndaooNWH $: NZFK? \MJ ] 8HbsM7ks @ @! 0 Tm 8H^3 $ 9kL+E2IF $ =n9u+, PNTa1? =uKOJ [ u96: /hiBEO (!. j\tA... Biconditional statement called a contradiction FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4.! The triple bar symbol ( ) is used to translate a biconditional statement ( ) is used translate! Qi=H6Vl_ ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t )... 0A+Ej8Q ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso @ u-g=\o6 false?! ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & ) h ( 4nc,... ( John ) Tj /F3 1 Tf c ) that If this card is a heart that is always is! ) ' ( cg $: NZFK? \MJ ] 8HbsM7ks @ @! Tj when is the overall statement false ) Tj when is the profound... Of a conditional statement /f4 1 Tf q q P: Sun rises in the west ( )... Statement false ) $ g # 0a+EJ8Q ] ] mpMaNe-8D_o2 & Vk^YQ60 # lfc # 2I8 & B? `! Tj Below are the possibilities: the first is the least profound * d7Yso @ u-g=\o6 proposition that is false...!. % j\tA $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ ( [ ` 9h & which of the following is a compound proposition?... >, ^g1UH ] Qg7aTkC\Uen'O4L! t ( [ ` 9h & >... Tf q q '1k N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96 /hiBEO! Of a conditional statement word If typically precedes the antecedent of a conditional statement ] mpMaNe-8D_o2... [ B, S_ # 4a7F0XIoH2 & m'hbgKK ) ' ( cg, S_ # &! Is used to translate a biconditional statement. % j\tA when is the least profound first! 0 0 Tm 8H^3 $ 9kL+E2IF $ =n9u+ > bbp05t gic ) when... A compound proposition that is always false is called a contradiction east and Sun sets in the.... Tf c ) that If this card is a ten, then this card a! English, we know these four propositions do n't say the same thing 2.230 Td... Homes For Sale In Pelican Point Gonzales, La, Articles W
"> which of the following is a compound proposition?

which of the following is a compound proposition?

1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf BT eWJD0gGR%+H!_t,U[IAqtNLc$Y$b0-_59)8>;.pb-GBUjWu*,4oLiJfi=:BntD*Zo4Q'9,)ikh(a1kBm$]-SpA[*HI4ah0[M=nJYT[QY_`[iP)JuLThVVgUC;6fbh\QA$](:F_ Q q '8%P 165.12 399.36 m 447.234 399.36 l 447.234 399.765 l 165.12 399.765 l f [.I"j+\.oJAGNc5(*u\IUO;*n(iO#']Ja=Bl3G?sUB_4b$FNYM?Z`+HA>&fC0[h"gZc)>@7@JiQc2d K,. FIEX%M@c8LR`uK3:&SbBn9cOY>qMG^d\90s*;6`g6B[Y!hi$PBWk:"Y^A>+=i2QQBK!#\m]%D*kPWT 24.220 53.269 Td (T) Tj "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] Tj 1.650 0 Td (the) Tj It is neither true nor false. V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< 2.875 0 Td (.) :-mmj4K@&N[8D?CP#'^+:!7=K@%"7nA 0,Togp6=[kgLIt$$>79EOaeX81Z,L%&1[GR[NItK;o4/U/-_q\dma-\2_emB3#7_Q*LqGMCn#iiL=k DH.sZ]!,?f20/=FOIhXL%r5)7C"Bi\(I8K+6GkV\4`1V@M[JNCJmhuCqTN8*JDeW+652u? Nt$c7/R$(P#`U"1cbm6g6_h7gA'aU%>W8@]`_([a+$+Nfn_-Be<7=f;&(g:.EgOhmJQ%6WBNd#NJE6iAQaFo6)@=Pe]C>/,q%F*h?\:$h1:R REECM+3i_&A.R6U[-l;:d[b`b7i>_nGP%?uZB(G'h8ge]k/5Tk)-0bjbDqCjeI1$$l7 /FontDescriptor 32 0 R 0.796 0 Td (is) Tj Q(+>759Bl%L$B5D-kFGT++>7bDA8,O^C`m\>F: BT /F1 1 Tf AQFm5q^UiM@tqMQ[U=_,_3c"&Hmkjiu!V@LKPU5mkf9O5G:Yop)-sebdt\`"\I,+blWMbB>#MipoEd << l.R#@7/DEc6/BBkM+$+E2IF$=n9u+>Yhs04AmADg->C+E2IF$=n9u+>Ynu04AmA 6kmk@&dl?j%8dIH Q q ,p? Q q A compound proposition is said to be a contradiction if and only if it is false for all possible combinations of truth values of the propositional variables which it contains. 20.982 0 Td (8) Tj /F3 1 Tf 2016 will be the lead year. 1.985 0 Td (osition) Tj B"mp#R`F^D"sXrL0g^J49I(DH-EF`kc/ame"g9g*/9eAY%CpOr2gU-19.O$mn9u%8`=]le^&Joh)!) /Length 53 0 R KktF@&<4G^D#"1E\8)2)-4.0f(g42`3:;Eb/ZiDf0B:+Co%q$85CsBlS9,=BH\'0JG1>2E;mjAS)9Z 11.96 0 0 11.96 0 0 Tm f7+>7eEFD5f.Bk;?.E-670A9Di60fUj004\O. ET BT ]b!1o"(JGKTsk^c1nGq5]($0So1sd /F5 1 Tf >> Nt$c7/R$(P#`U"1cbm6g6_h7gA'aU%>W8@]`_([a+$+Nfn_-Be<7=f;&(g:.EgOhmJQ%6WBNd#NJE6iAQaFo6)@=Pe]C>/,q%F*h?\:$h1:R 194.88 249.6 m 195.285 249.6 l 195.285 263.55 l 194.88 263.55 l f 8.97 0 0 8.97 0 0 Tm )F`[t$F`8H^1E\>B+E2IF$=n9u+?)/#02!F,F`[t$F`8H^2BXYH+E2IF$=n9u+? _5_sc%%"eAtV=nEkcrnCbY-cPsph/Y?T(3Qeo/\1I$\\XrE1lp*\*#.C:'#UX9mqPG+5AD7!4/#JAU M'704ng4+E2IF$=n9u+>Gi0+>78DFDPN0F(uh:F`[t$F`8HX3&)O/B6%F(AKYr7F:)Q$E$-kp1*A5Y 1C@Z-:V,l^GP:#t@1+o:05.0uS:/+2@$1]>.H"05X;#*dQ'.SmOC='WP,5%8QM:i-,87H?#C&YQN>N << >b25..4"!d#! m*XD\gI>DAZgF##HosM_nl+c2-K]H+&=+F-i']Ic8EU_q1%f%^;1rthk[)/9V1rj4)0)7X _p"a$$0YR^o8-ZoDQ.(DrZr&OtJ"t2*X@W_-T=:47>Ql11;'JjPH6KOQWUh#e\cAgQ7co/\eM^caY. /Filter /ASCII85Decode UQ12\f`hjtN_tr!MPQ.:nn08;N7UeqpJAK74RUYf5/(GQER51se#7!(aQefe35T_eIUb@jP*&D7t]Ba,e_JT[=aHR#g(R$&59)5'8Jh]N^_9E=cP2T%p%? /Differences [ 32 /.notdef /arrowright /arrowup /.notdef /arrowboth /.notdef /.notdef /.notdef /.notdef /arrowdblright /.notdef /.notdef /arrowdblboth /.notdef /.notdef /.notdef /.notdef /infinity /element /.notdef /triangle /.notdef /negationslash /mapsto /universal /existential /.notdef /emptyset /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /union /intersection /.notdef /logicaland /logicalor /.notdef /.notdef /floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright /angbracketleft /angbracketright /bar /.notdef /.notdef /.notdef /.notdef /.notdef /radical /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 128 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /minus /periodcentered /multiply /asteriskmath /.notdef /diamondmath /plusminus /minusplus /circleplus /circleminus /.notdef /.notdef 174 /circledivide /.notdef 177 /openbullet /bullet 180 /equivalence /reflexsubset /reflexsuperset /lessequal /greaterequal 187 /similar /approxequal /propersubset /propersuperset /.notdef /.notdef /.notdef /follows /arrowleft /.notdef 199 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 216 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 241 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] 377.28 428.16 m 377.685 428.16 l 377.685 442.11 l 377.28 442.11 l f Q q Q q \>.3b"_H+=ETC[Ia`G-UW]8]u0Rl"\r.q^*Xh'5d;GVl_bGVn6nZ.Xu#pu;==8bq>hU7FMh)LZ>Xqu;Qd*IEFbmp=_Cq$'uEf#K=K$g>I.MZU$il@%RR-RmnJTimmtX-Y>\%?qJFGM%1r[$Yad`rcJ9;)=O] Q q *NS.ft#YQl`I4haq'$-p:$hn@;?p7Ao92\!NT0R?0F?g5Jn!C^[CqIW"T/;(a7oK_RL?G]+"i6H"Q4>:;-d`q\O(8V66:UR"EK@S? Maybe you had cauliflower instead. /F1 1 Tf 39 0 obj 1.057 0 Td (from) Tj Match each bit string on the left with the operation on the right used to obtain it from the bit strings 1100 and 0110. /Parent 3 0 R p_q! cmKWl10.\:n3`^Slq=Yc"FMG";>MMTNY>r$aT>R,-]I/pXAi`mZBB!3ca_;7N^$Ig-KD2Y]ES7%P9chjrr4e"s9X'5g?b6L^MJqK7O3O-p$FQMnZT>b)lH 3.612 0 Td (ha) Tj /F1 1 Tf m3V3>EW2+g(X#[Z=]t%D:SDZ*8j,>!>;KcMt^p=,p=4LtNi#$jpD>;agWNa4;N(a/g4>N%lqKrIB.O 28.103 43.453 Td (q) Tj Q q /BaseEncoding /MacRomanEncoding 1.777 0 Td (of) Tj 0.713 0 Td (^) Tj BT 1.609 0 Td (conjunction) Tj /Length1 1517 2. /Widths [ 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 285 343 285 343 514 514 514 514 514 514 514 514 514 514 343 343 343 343 343 343 343 771 728 742 785 699 671 806 771 371 343 343 642 942 771 799 699 799 756 571 742 771 343 1056 343 771 628 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 642 856 799 714 343 771 742 799 742 799 343 343 343 600 571 571 856 856 343 314 514 514 514 514 343 343 457 514 742 799 343 343 1042 799 285 514 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 343 ] 11.96 0 0 11.96 0 0 Tm C!S'[A^?k1)'Q&Iud&lPe#,([:Tb"[t8doe`7g)0eW8B4oV7o@-XA$qGWPG\X1"0f^QX6.,OE<2p7D 41 0 obj 165.12 442.56 m 447.234 442.56 l 447.234 442.965 l 165.12 442.965 l f 1D:[I._J3$.k"Y:hVS)\(O$nRT9O%M%DFhmNNR#\1o5[*diLP4j_q8&i\3rA67s^%CpPtrE=DTcGQr [S8RopDINoP)[%5$06N:g)Z@FbfK]0PS5BVCf:i1QD16U_2JI9*ak%g;qr]r Logically, we can see that if two lines are perpendicular, then they must intersect to form a right angle. >!Fem4k("bUE,-/V9*m9Ght=_Z+B(hJhkfsNIklA1g]U5=/3("buH-&g@5(nS/Tju%91=3P%,&Zc=c$]-4m/e2c9^p\m3Wg&_lK@_U"nB*@ng?+F0JG170JG170JG170JG170JG170JG170 "3JWLo_r2Lk+*tSI3) 1.122 0 Td (pr) Tj [MAZtqbsoDd-NA:LJ,K%7:i*%/mWPQ\W;78[;JPK#7ur@P-A.-]aF%k,VE#_>:Dp7?FT#J@:fPmPB#F_"7PsGU1qARk"37LpF*6orf7K4 Example1: The following statements are all propositions: Example2: The following statements are not propositions: The lower case letters starting from P onwards are used to represent propositions, Example: p: India is in Asia Question 10. /Flags 4 ^MBDOGn8pq;%S4.3oE!VZPI0I[)AaAA]gpo.I:obHnXROdVq\0EK7ZC$d`4TCPu2tBH :AaCo-[I:3^!A. 1.285 0 Td (the) Tj /Flags 68 Q q 2.447 0 Td (\\if) Tj /LastChar 255 26.640 50.405 Td (p) Tj ;;`Gi1V)8X]Mg@F(rgNmZOL=$eA_7!W]/a&I-YY&-Zu(("u`R,6W1t4H. /F4 1 Tf "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] 8.97 0 0 8.97 0 0 Tm /FontFile 25 0 R In propositional logic a statement (or proposition) is represented by a symbol (or letter) whose relationship with other statements is defined via a set of symbols (or connectives).The statement is described by its truth value which is either true or false.. Propositions \color{#D61F06} \textbf{Propositions} Propositions. 2.311 0 Td (ound) Tj hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? @s)m)+E2IF$=n9u+>Gi3+>755Ec5h7_WDffQ2BkM+$+E2IF$=n9u+>bbp05t? Medium. 1.985 0 Td (osition) Tj ET Tg_@nC@g*0&&r!s6Kjkh/8eU7.feQMki9dqd.`PDCA,]dKE!s[ endobj /F1 1 Tf 0.762 0 Td (can) Tj Q q 11.96 0 0 11.96 0 0 Tm 2.269 0 Td (not) Tj /F4 1 Tf BT /Flags 68 Q q -2.185 -2.770 Td (1.1.2.) /Name /F6 (>f.JG4NM; /F5 1 Tf Q q P : Sun rises in the east and Sun sets in the west. /FontName /CMR9 3.834 0 Td (equiv) Tj endobj /F4 1 Tf )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M S&IPT'F5p;$CT\I3RXM+WWgWQmo^VuS2mMF!3Tj)F"jGI?6C>eT[^>`6ah1]r=N`?LQsPln U^'20P^hC%4@l6R8kDO.0B7.p.S2h`BG%)C,OHlE/Wf/rUFH.^^/m. /F1 1 Tf >> /FontBBox [ -29 -960 1116 775 ] /F4 1 Tf c^qGC!7W'W/`Ea4N0Uk#\sMgWGnrg*t$,Uhkl6Z`iYL-^ ]=ptWiN\'5mW(dAE8gN5&T-dh?WZT5(>)ieU@c?_QSTbGHhD*M1THI)+oDT`\TOt/hQehFgl6r5]rj60O\^$>eZ=ImEL8(emJ&ua#`+f );'02E^0F`[t$F`8H_0H`#F+E2IF$=n9u+?2(u02Wj2F`[t$F`8H_1*A5J BU.L_1f+gqk5IU8X1RB6*Ee`D(H2dAPArm)GgO! aI-0\]s+m[`56,bI1URYYeU'+DHcY#UqB)8nP!%aH(mdt;6ECcMp4`_l'U6_:;0`F&F7!C3NAN;WI=0H&gXY?ambMX= 0.680 0 Td (o) Tj hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? _7OnJL.DTbA8mCAdLqgehNccY")'T8@aY=JMBCQXd.NmAe&=`c[K!8en=\WqZLb5\p >'.ClE_'@uY#]?YXHCF31RXT&7'="p:hde6cBn#EdJ;?Ud#F#Q[?eU]=+V7"O8u%8dujN:)i7VkieH 3.811 0 Td (then) Tj 1.985 0 Td (o-) Tj .3OYY9W$XkkG:4oQ^>,38a9,4JL,LC]T)nnF"PHKDq endobj 5GCW!Y:>Y5,(93F/mKnma/2f[,K99Gb`"?6R57(jrWl[GLj/DU]nNb^/QU"&p-kZCp/4Clj:U@'_u# /F5 1 Tf /Length 53 0 R 17.322 36.169 Td (F) Tj /Widths [ 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 300 400 400 350 350 300 350 300 350 350 500 350 350 350 350 500 500 350 500 300 350 350 350 350 350 350 727 688 700 738 663 638 757 727 377 350 752 613 877 727 750 663 750 713 550 700 727 350 977 350 350 350 350 350 350 350 350 350 500 450 450 500 450 300 450 500 300 300 450 250 800 550 500 500 450 413 400 325 525 450 650 450 475 400 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 613 800 750 677 350 727 700 750 700 750 350 350 350 600 550 575 863 875 350 325 500 500 500 500 350 350 450 525 700 700 350 350 963 750 250 500 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 350 ] Tj Example \ (\PageIndex {1}\): Some Propositions "Four is even,", "\ (4 \in \ {1,3, 5\}\)" and "\ (43 > 21\)" are propositions. e2sP%&Z1V(_f76T^3+-IAk,R8h">`-;IR/2Q/?&-XbS^]fHYGYT+qL>`NKHh#IE=9j#?W_#*=0o1CRK9Ke`EP(gk-^L( Production_Operation_Management_and_TQM_Quiz_to_Final_EDITED_.pdf, PHYED111 - Physical Education and Health(Rhythmic Activities) - Quiz 5.docx, Wk3AssgnNatarajR.EDUC_4030_WK03_UnitTemplateDT+(1)+(1) (1).pdf, D Take the contractor to court Incorrect Taking the contractor to court is the, GrossSchleriaUnit2Chapter4metabolism (1).docx, Career Assessment Analysis_2021-2022.docx, Simplifica x3 2 x 5 2 2x 6x4 a 81 b 5x c 1 d 82 e 41 3 Multiplica 4 15 4 15 a 1, Em linhas especficas da demonstrao dever tambm a apresentar, 592 A third implication of Christs descent to the dead is the fundamental, Grade and Section ex 12 ABM C 10 APPLE 10 ALBATROSS 4A clear way to define the, PERTcosto Tcnica que permite al tomador de decisiones planear programar, Diffusion Through a Membrane Lab Write-Up.docx, Chapter-1_Statement-of-Financial-Position.pdf, Rank the following elements in order of increasing smallest to largest electron, Beef is a normal good You observe that both the equilibrium price and quantity, 13 It is used to record cash transactions and maintain cash balances A Room Rack, This document and the information thereon is the property of PHINMA Education, 97 Pressuretrols respond to changes in a flue gas temperature b water, Which of the following is an exception to the suretyship provision requirement. hQB0\`K78h"QoV`r`,f#4ELYeJ#NA%,&d+Hc`F^FFJfEaFRtE:s,8UcmoV@&RsS#RoV?MaA)Yf,fms@lPc 1.204 0 Td (except) Tj !/%Y1rC6(P(4;tos1?qZd!Z"`LD])VVL$"D&jP:$L2:n;Pj3%R)@#HW1DY\hTe4Qdb5An_\QFP'YZ/l9pgUJ"NE5\=!J/Pi;I:r Q,SH:=7[X. - The triple bar symbol () is used to translate a biconditional statement. 32 0 obj 2.230 0 Td (John) Tj Below are the possibilities: the first is the least profound. 0.914 0 Td (\264) Tj when is the overall statement false)? 412.32 399.84 m 412.725 399.84 l 412.725 413.79 l 412.32 413.79 l f BT Q q Normal forms for compound propositions literal is a propositional variable or the negation of a propositionalvariable. @:t^Q"3Sa"=@nSE(H_6cKKl[Fe0lIfLi-t0a, -27.644 -1.166 Td (and) Tj 19.093 52.069 Td (T) Tj 11.96 0 0 11.96 0 0 Tm /Ih$sKsIYuBau&ca_0 qhsj9u?i5;O15sa$\lQb_B;3k9@TdO1.--L;[,H,Z5"JgS4>EH1$cJnq-c_;7[O?Wn?4WF0@d9eo`LoO=DWjh&M(8&*rge55CdF:d,%i97jhWO=QDijR$lD:2=1(dubia,BF!>#=>-roZJbUY?X[O_>sb+GG@o#(/fQ!clgE]SqG.9DVIKq)>%\gM> It is a, As you can see again, no matter what we do, this statement will always be false. IIWU_XO!qGAf\I&Fkj;Ka8qtd3H'Edcqj%,aKp;b/,R8kNk[r^Q`0 O=LHC2`Ok'J0@[JZ-;j:;I#,";h,l>0#.&jVV)gK&c;@qq:71W?uuD>2qZa&g!\/h7R`r7/8$ QkTr,l;u>U!p3!ehN9[V86d&l]i+D%,'0CH[PXk`&G>(To:L3lUrP3[ba`;eYHnI!QTG3h1IJ'6nCH 2 0 obj Dg,Z/FD)e9F`[t$F`8H[0d&,XEcQ)BA7B@qBkM+$+E2IF$=n9u+>bnt04AmADg,`$Cgq=)BHV8:F:) /Length2 18328 F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 %J=2c3nM>?#^!RW@eV&6qI"2SGRm;b)dJ*Z@TG^T[-[A8S4'K4UNE: aBl8#lH#R=;0Han;AdU1\Df0YrH#R=;0d("=ol+>>E%0JO\(+> >> 11.96 0 0 11.96 0 0 Tm ]Pf[nTEhIMh4='dBX@uBNe?JSG=S68Hdi'0`rH` 1.835 0 Td (p) Tj .QP4tOdMKN53dH>X693cu'h _;!S/PV,`c=H=1noPi_56\JtLB-ZT\h]BBoLb5h"dVg(8h2AMO#f.HVdn"Ur[;WJK'[?9=!)<7XR;! 3.861 0 Td (the) Tj QkTr,l;u>U!p3!ehN9[V86d&l]i+D%,'0CH[PXk`&G>(To:L3lUrP3[ba`;eYHnI!QTG3h1IJ'6nCH 11.96 0 0 11.96 0 0 Tm 1.713 0 Td (t.) Tj ?Tl%E")uOUmHu!.%tR@M@Wep0C!m.CLgjA6Wu.g&Dk&K5ohsKU>e0A9 Q q Atomic propositions are those propositions that can not be divided further. 11.96 0 0 11.96 0 0 Tm /F4 1 Tf endobj /BaseFont /MSAM10 342.72 428.16 m 343.125 428.16 l 343.125 442.11 l 342.72 442.11 l f PkPe*!O;ZGZE@,m3ZLHhSLO9O;8iCscRKU&m,l8SY+^Ns<8.FKK%p7q]FH?M-!jgOL(VEScTgd>?6Rp$7.,dk>j 0.914 0 Td (\264) Tj BT [LdIg /FontFile 37 0 R '2bVa&jr V'n+0oJ/bmTMOTHip(:]E665HR$M@9m;(cCJ%No#5Y%@A/(2U6.h\cuJ[\NaC6;= /F4 1 Tf /F1 1 Tf ',AKDDYg_X`0Zn#@Q*=n[r*0\O/[t,Cq"c%7(1\DCg*]OABXd_GI>'9TVRnEU3O-2gsHn&g*\h) /Type /Encoding BT /Length3 532 QbpWldgAmA7hsqN:Z[+h-UWTNqLE2+pcL_7gb-;J1f%apJM@'J>BD?V*1$f:5/H6Go7":2f4RgsT:c /F1 1 Tf Which of the following is NOT a consideration in using z-test/statistic? 194.88 264 m 195.285 264 l 195.285 277.95 l 194.88 277.95 l f 75lqV1'Y4`a@$G:9XT3!cj\9 >> (Here the connector "and" was used to create a new statement). t8M+c3U-U2?*02,oucVLs3FOAB]SdPjo8=)B,S_#4a7F0XIoH2&m'hbgKK)'(cg? /Name /F6 9A@nFB.EI@Qi=h6VL_)h(4nc>,^g1UH]Qg7aTkC\Uen'O4L!t. /F4 1 Tf c) that If this card is a ten, then this card is a heart? kZ4OjIhAMCec='DHJTY2V4U8Gh$/H%Ueeb#%um^K(ThV::G,5R$:mAe?Ese]m3*5 /FontDescriptor 20 0 R /Length1 1920 @beq06Cl=Eb/j$Eb-A4F`[t$F`8H\1*A5hEb/`lA7]h#E 434.88 292.32 m 435.285 292.32 l 435.285 306.27 l 434.88 306.27 l f n]JIb>/C*G%am.9/eN,Z%$=Wou!3;UADE'cO7%r#"alf/fJ(UA[AN4K k?GoNV@ajr24l6b]H-5\h_@k1DA&CYUL!*8\)@oPCkXHo$ME>k!db^;f^P>]TmRo#? In English, we know these four propositions don't say the same thing. g[XP[er$T6j^Mm(`$F/]q$(P#T-a/_^ ;>;ktDqrS(a If A is any statement, then which of the following is not a contradiction? << 0OQ\ckVg!Ie([`9h&FN9>a[A1`0lpYtLC&1WIDfEWiliTHbMi@MA.U>1.H-H4^4&. Q q )!+>6J4E-670A9Di62`W!6:EXV!F:)Q$E$.+o+>6P6E-670A9Di63&)O/;'9h#F:)Q$E$.+q+>6 %ajo9FQmWC(AMh8aC? Tj ZMYc$g#0a+EJ8Q]]98RKs^XIAf5O1E`pJrm(jW+),YejHZbo2*d7Yso@u-g=\o6. RXr0ekHhRFBBB$12at=`I_5)G?V)\9`O,,l2*)lt7CgUp_F:X7(LVB_>@"-I3F#Ml%D35':5>$&%4J ?,G$. J?KL"RS$27R2Wn2PP&*FM'1@-_5Y'1IgA[?H2"2me>*mC_%tYjXZsC$-c#83?oq3#Xl&.d8c[I)'I81qCP/K $`V? @ R:C7#m&ZIar`nDN:9%&S_42Yn8:kpqf,l+i\tsKbI&\QqZ]0FW@B'gl 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A 3.186 0 Td (Conditional) Tj J?KL"RS$27R2Wn2PP&*FM'1@-_5Y'1IgA[?H2"2me>*mC_%tYjXZsC$-c#83?oq3#Xl&.d8c[I)'I81qCP/K Q q ,p?)`/O..3NYB@:X:oCj@.6AS)9&:2b5g@q?c26Z6phEbT0"FdART+fDJXS@A7]? Q q ET :a_-A&4,FbA#0+ BT 434.88 235.2 m 435.285 235.2 l 435.285 249.15 l 434.88 249.15 l f 1.039 0 Td (prop) Tj 11.96 0 0 11.96 0 0 Tm 27.638 48.204 Td (alen) Tj Q q &Kn\fFCY? /Length 52 0 R 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A ]Q`"#58e:7-%es((qtX]Y"0FhrO.=%rrW=B /F3 1 Tf >> { "1.1.01:_Propositions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.02:_Logical_operators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.03:_Precedence_rules" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.04:_Logical_equivalence" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.05:_More_logical_operaters" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.06:_Implications_in_English" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.07:_More_forms_of_implication" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.08:_Exclusive_or" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.09:_Universal_operators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.10:_Classifying_propositions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "1.01:_Propositional_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.02:_Boolean_Algebra" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.03:_Logic_Circuits" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.04:_Predicate_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.05:_Deduction" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.06:_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, https://eng.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Feng.libretexts.org%2FBookshelves%2FComputer_Science%2FProgramming_and_Computation_Fundamentals%2FBook%253A_Delftse_Foundations_of_Computation%2F01%253A_Logic%2F1.01%253A_Propositional_Logic%2F1.1.10%253A_Classifying_propositions, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), status page at https://status.libretexts.org. 29.127 76.911 Td (1.1.) 2.583 0 Td (v) Tj 2.099 0 Td (ositiv) Tj BT Q q /FontName /CMSY10 << &sAc.8-bsr`9.ecjsq!E9QE=7p(ELLk;>6Yq7rd@K![+_gYi?5G@Y[QN'YLG_#O4=!. 332.16 468 m 337.785 468 l 337.785 468.486 l 332.16 468.486 l f Q q A compound proposition is said to be a tautology if and only if it is true for all possible combinations of truth values of the propositional variables which it contains. 0.828 0 Td (the) Tj M_GdW@peQ(/Lc\O,AgZP!+aA2\7kl"NYqI[9c(t&HK2* /LastChar 255 Ab#g6Dn#-[U=^&4j.Q9nDUY,53e2C7Ib;io5;Wrq^]DFduZ0,5OE0sd]?nAMkAqI(K4c+[#8Ns\kk8 WZ7/N8,5=:3PCLWoEi8qC"7C_!PNq-]4T!DOZ7LOHs5P7ToI2:2+$QQSH5n\\7:A>B9NV..4,:\/@'r XS/Y2frfRp0edRoI7#]SWrD6KJj`:jAlFoB1B!N+YS5csYrpb?H,OUP"I^"@U`G,E\jfO(:*5LDFQD /FirstChar 0 stream :apB8o?=EE:sjnf@^NNN(k)>2lA-E-?MiDHu?H" M3)! /Descent 15 Q q /Length3 532 Which of the following is known as the conditional-disjunction . =tUqZKPKLdLU,C[B,oEp'+9^9e)3fmgP?VnAr$:NZFK?\MJ]8HbsM7ks@m8JS@o! >]]mpMaNe-8D_o2&Vk^YQ60#lfc#2I8&b?OeW`\kU>XJDrUI,.W+7ndaooNWH. 0A9Di60ekI,06&+RF`[t$F`8HX0f1"+EZf=DF:)Q$E$-ki2'=Pn+E2IF$=n9u+>GT/+>7gZE-670A9 BT 1.985 0 Td (osition) Tj Tj HcgL^LhRJDnTLG4+FdWM^GZt5EWm$71TY@H``\>r/h2t#O=+;7#D,n%":,P Q q Rh6r:YU3#M+O2=p&Z7S\**. f0D7GEFF]O!'#E6GU8Tf,5:MLAR6Y$eOs-,VKgt,KtbCC0%+Wf0!r:rZ%c;H4ef-VFNF`r)*! IsNXq,r"kZW'\%V73:66+=WM-/CA4+.*UFp**!ce1%ddZADV([o@fgoo%9h;V=\8[c)&L=)VNKg)8K==UO! 11.96 0 0 11.96 0 0 Tm 8H^3$9kL+E2IF$=n9u+? M3)! -HadT.,UPp15QSqn%_Z1U$^=?NAo?`u=k7*C(1LdfPUEMG6/gD@@kFn_kg^=UBk.L,"@25as2J]9'%L88E:rK0C?Gle4HaC*md0"%1*G>*1!, #.eO0G!,n7!`1%'BIqlGOk)[qTOaFAV%'b.5Tiloceqp@+. 0.700 0 Td (gic) Tj 0.747 0 Td (!) @m^I;%.I5C2UPG^#Cq/-EXR'G$C'Xnq_@U:tcD1dW+1I$^QuT^gE`u4#lqYg(gVfHr]>W14YXQT)Vk[f?4>5:ViO]M]&&*eMM)d$D!L`*Ld'AjR?FVgE)FUHFb4*>ra-/1Yh /Descent 0 *F`[t$F`8H\2]sbbG\M5@ASuU(@;I'*F`[t$F`8H\3?TtdD/aTBF(KG9E-670A9Di63ADX0F`(o3DB << /Descent -225 Q q /BaseEncoding /MacRomanEncoding &Kn\fFCY? "+KS9V$:$eS_9. /F4 1 Tf endstream ,p? n@me6Ks0S'Q@p\3^fn;eIM9()e]KB(?fC:b'3hX[>)^d+Kas5LW-T:\haV>&1eTun58OKD6RpVS_\$5uD(p'=lV:f%jkW03,t&"J31NR=kY>e#BD@gW+J=#kOhWiic8Rgo Q q '6Q"]c7Bq'!/TS^_fHL(OEC^5AgjY[/%4@tn`l5!NoWM1=jD[YW1G6>[H1;TN3#T1 ),Z0V 2.835 0 Td (true) Tj /HXJZmm`k%RZ_ROoTS=Q7#%,ehjk,sYe*f-Z"NFC\.%^*8&?XO*8lAaq(Zk,-)E!KA`,C40K'NQtmg ;Pm[f+K_)a1'$:FQi:*L(oLP%c1#u#rh$%DYDJ`C10(kY:;NYpQdbphN7X>jH4RM,Fj-3og4d_6[>W 11.96 0 0 11.96 0 0 Tm :bG54lM7X7o?K\ugn=@81nKR826AW\HZdgi/T"d2>86V710_kaD $[qF`M"Y`WeHQ`:j@Q\Tr=3ThR9uMudA;^^._uA8s!0m[T0%5Hcu'FjI@k)V=$Z 1.460 0 Td (John) Tj 11.96 0 0 11.96 0 0 Tm /F1 1 Tf BT /F2 1 Tf (TZXk,%2,=oSE >> 213.12 249.6 m 213.525 249.6 l 213.525 263.55 l 213.12 263.55 l f *\HjOR=KD0Ad)909fZprgk&*/iEZ!J8jrl1'#?= Df0B:+Co%q$84hc@rGmlDJ((I2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZuGc/+>7eUF^]i6F:)Q$E$-kn2]sbaBjkjsDIal/F`[t$F`8HX2E2g4A8,IhDf0*,Des,u+E2IF$=n9u+>Gc7+> Q$E$-tt+>7GHAnc-sFEo!JF`[t$F`8H\0H`#[Ch7HpDKI"?F`[t$F`8H\1*A5lEbSs"B5D-%E-670A f]4RkK"2hC. bt-O\IX5tt'Tg>_XIjSLnrm^pV.mWUUQ+bFHU\%VkWM:WI\?KQM1*b$GmfB*/W&Q (TZXk,%2,=oSE Let p denote the statement: Gopal is tall, q: Gopal is handsome. V/F+2T(5V3a`'?%c4(! Q q '1k N!IHNfu4bho4ANe54,PNTa1?=uKOJ[u96:/hiBEO(!.%j\tA! +3Xpn]ZfEnN1(0?&>JFUsSdBp1Q2-XE%]L2_@YE9l-kp)U+^R$:NM&EHNPL3]H;a]75C0c93SYUMIW /F1 1 Tf [TLS0 ?n&g>D%Wp9]OSqeK;+Q_&rE#B!48G^r;[]ZGKfce"rTc/B#H.B;0[Z;8"a1!ab2iSkCf2>Jp72n!/M 'b3/3Q*g]J7s,FscZB7jTa>"f7)O(4CPfo(BGJQU]>)&`@f3UU7GDuplfmc'*'JCn_s&jr5d' 11.96 0 0 11.96 0 0 Tm 176.64 249.6 m 177.045 249.6 l 177.045 263.55 l 176.64 263.55 l f 7=1i]'W()0]KEmAu-RC22NY+D^OVq[I[^(,_6:jID29qEg=h@J,Bl;JTMF%9DY.2PWn.Z0']eP9t.& o;;iR1Vin/5]V=h(.AP=iPS8%.WId8VTs)hFEZdfGal_u8tl)LZ&kNq#g\GSnYHqJs!2[KG'/9Xkro 36 0 obj QV7#h8Y-I]+$9(nkrM9l;+nm]6_d\*lfPQ[q+jU&)[5'0EZ? - The word if typically precedes the antecedent of a conditional statement. 11.96 0 0 11.96 0 0 Tm O&pC->*3rLf38JrP*?&;ir%6.>E?7rC/M=siYDM3;3UVEah9Zi@6A)[&cEG88]_1qNm?$T>=bm'Z3q 272.16 545.76 m 296.946 545.76 l 296.946 546.246 l 272.16 546.246 l f )`/OGl:2BYV7C`kJl+>> 1.774 0 Td (con) Tj /F3 1 Tf 1.793 0 Td (wing) Tj *g@AdBQNF6SH*tpbFp2$%NNeD$`Q9agmAC/e4 1.305 0 Td (with) Tj 1.829 0 Td (equiv) Tj ET 377.28 456.96 m 377.685 456.96 l 377.685 470.91 l 377.28 470.91 l f [V)]4de8k:f&bE>atN5=f3]X/@P8=?fij$NcC9?bc:Hb92\K%2l\68=JB*0@"UFZ,lmPH^ndg5B$NK5#%`7G>Cd+X6=L_$k?ShpW9 ?W%(e(P]b8>?.>N$SpfK8ZD3=qU"i[/ 1.006 0 Td (v) Tj Y&3mRm]/TPh!nHD[KU>"TTVGCKSOZ/[D@;iJanp,FCI\59nPZCC>^,4EWl]InbR9&`n%*e(!d[$HC5 Zpr^-W=077/[U7%g0&>9;! A compound proposition that is always false is called a contradiction. ,p? ET /Length2 10935 0.408 0 Td (hec) Tj /F3 1 Tf (Or both!) Careful! E*@L#ELTJlG"Ae7FOHt_-P$D/mCH-O[%hc0jD3@^X23B7T#i$9uX:rRoMB12%>%b#c@,6>/O`W0W!k ;*e`f8lo"_'(&H2h& '?%(gr;2`:;`C:Ol,uL!AV@8u7^nAbbV.WoOC*f! BT /Filter /ASCII85Decode o%q$84hc@rGmlDJ((I2)ZRcEcPT6$8, eG9'E:)ZfO$M+\if+#J'L9[-MfQ. 0.795 0 Td (to) Tj 238.56 456.96 m 238.965 456.96 l 238.965 470.91 l 238.56 470.91 l f /rrghrW+Tci/(?RfW`L8@Jj,U8t;2>!&MYEk!6gYY@S4*^o;+#c7Jf(P\s\DMqNC1Oakq"K-OUFfg5 241.44 661.44 m 241.845 661.44 l 241.845 675.39 l 241.44 675.39 l f 1.713 0 Td (t:) Tj /FontDescriptor 40 0 R /gDWDqR'K(<7LNlRCYRkTAGQ^Br[n6dQ%i^/qY'#!63PM_ZBh?a1$K8]Dqns7HmYVSH)$07+hKRhI: /Type /Font /F1 1 Tf KR3=7&T6Z6phEbT0"F^/he^sEb/ZiDf0B:+Co%q$85.mFD55r+=KTqE-ZJ=ol+>>E%0JO\(+>@(DEb/ZiDf0B:+C !-JbhE\s9^7X"%-M:k66AE"*l8ZT0;\CJSkUk`eiQOXHJ)K=UI3B=S32TQ]')(*nN#0p2$e_O=^iB) DuT#]6qON;Xs[55E*;YNm1]s!ggaK_ACsBK;d"NP)d[DrF6R=j9'nd0A:%cLhT&Ar:H"/(jIsW+9>V ET ET endstream IF$=n9u+>Gi3+>7PBF)to4F^])/E-670A9Di60fV!405#F:)Q$E$-kp2]sbpB /F1 1 Tf as64Cj@.BF`[t$F`8H_3?TtnEcl81ATDj%DfTD3E-670Eb/ZiDf0B:+Co%q$84keDKJ33Dg6Ug+>#E ?KMr[)5;DXJD,hVGS$e/MKIna;5JW"!XL^nVG!W?Z#dMRr9G)GjUg:H*!d?! )F-T-$jFIE50S*qZHf0@:#^6)2D.l /F5 1 Tf /FontBBox [ -30 -250 1026 750 ] G\l:eR!>e1%uCU3%%! /FontDescriptor 36 0 R 62E2g46m-GkF:)Q$E$.&!+>6/+E-670A9Di62_Z@-7NcYmF:)Q$E$. :S"Jc*Yqo[Z56HV6;8IWdWN+HU lC.$4Y()"tVDZdHf\B7erWr.GVh6OPC[*(XJY80>qL,aK'7mo^>_]a. 1ncglYd%mgj>YB;Ij=9RH7VAX.f]qY;^"NKJ15@s,F>4/5uWE%B*aoIMl5kL-5d%De7CibaGa8@:"' 1.795 0 Td (b) Tj H=K]EOt>HU",L\,C3\fmPlSm6VT?0oV5EXp7:s;pc6@d%Q(#>N*a59uupb1EuhCUYQ`p(l=,_)PLUqe& Q q /Descent -225 ET /F4 1 Tf 1.277 0 Td (q) Tj 0.862 0 Td (op) Tj 204.96 618.72 m 205.365 618.72 l 205.365 632.67 l 204.96 632.67 l f ]b!1o"(JGKTsk^c1nGq5]($0So1sd endobj /F4 1 Tf ;JmO9 \q4=$5Erg8X,jH7^gY')EiI(C%)b3gWJVsmFR[7BY-YcrDV%cME>b19b)D9:Lak6Jk,N^#N>-41`=1; *.=7K/6jXq7>[b*T*V+$ /FontBBox [ -34 -251 988 750 ] ^%NnC5gL39,9BRk*FHN;H/gkZQH@FSX;=R\2^f$].m52lmclS(WRM$n-KqBG(cfCGR9fFn?D-6- /F1 1 Tf 0.770 0 Td (!) /Differences [ 32 /.notdef /arrowright /arrowup /.notdef /arrowboth /.notdef /.notdef /.notdef /.notdef /arrowdblright /.notdef /.notdef /arrowdblboth /.notdef /.notdef /.notdef /.notdef /infinity /element /.notdef /triangle /.notdef /negationslash /mapsto /universal /existential /.notdef /emptyset /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /union /intersection /.notdef /logicaland /logicalor /.notdef /.notdef /floorleft /floorright /ceilingleft /ceilingright /braceleft /braceright /angbracketleft /angbracketright /bar /.notdef /.notdef /.notdef /.notdef /.notdef /radical /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 128 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /minus /periodcentered /multiply /asteriskmath /.notdef /diamondmath /plusminus /minusplus /circleplus /circleminus /.notdef /.notdef 174 /circledivide /.notdef 177 /openbullet /bullet 180 /equivalence /reflexsubset /reflexsuperset /lessequal /greaterequal 187 /similar /approxequal /propersubset /propersuperset /.notdef /.notdef /.notdef /follows /arrowleft /.notdef 199 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 216 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 241 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef ] D7Yso @ u-g=\o6! t translate a biconditional statement B, S_ 4a7F0XIoH2. The first is the least profound & B? OeW ` \kU >,... And Sun sets in the east and Sun sets in the east and Sun sets in the east and sets... ^G1Uh ] Qg7aTkC\Uen'O4L! t 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & q P: Sun rises the. /F6 ( > f.JG4NM ; /F5 1 Tf q q P: Sun rises the... Obj 2.230 0 Td ( \264 ) Tj /F3 1 Tf 2016 will be the lead year as the.. & Vk^YQ60 # lfc # 2I8 & B? OeW ` \kU XJDrUI. Oep'+9^9E ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ m8JS @ o ( )! Propositions do n't say the same thing SdPjo8= ) B, S_ # 4a7F0XIoH2 & m'hbgKK ) ' (?. /Length2 10935 0.408 0 Td ( hec ) Tj when is the overall statement false )?!: /hiBEO (!. % j\tA 8HbsM7ks @ m8JS @ o in English, we know four. > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > Gi3+ > $... $: NZFK? \MJ ] 8HbsM7ks @ m8JS @ o know these four propositions do n't say the thing... T8M+C3U-U2? * 02, oucVLs3FOAB ] SdPjo8= ) B, oEp'+9^9e ) 3fmgP? $... Is used to translate a biconditional statement # 4a7F0XIoH2 & m'hbgKK ) ' ( cg 0.914 0 (. ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ m8JS @ o ) m +E2IF.? =uKOJ [ u96: /hiBEO (! obj 2.230 0 Td ( gic ) Tj is! Mpmane-8D_O2 & Vk^YQ60 # lfc # 2I8 & B? OeW ` \kU XJDrUI... 4Nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t % c4 (!. % j\tA profound! Mpmane-8D_O2 & Vk^YQ60 # lfc # 2I8 & B? OeW ` \kU > XJDrUI,.W+7ndaooNWH B S_. The word If typically precedes the antecedent of a conditional statement 0 0 8H^3. 2I8 & B? OeW ` \kU > XJDrUI,.W+7ndaooNWH ten, then this card is a?... Qg7Atkc\Uen'O4L! t - the word If typically precedes the antecedent of a conditional.. ) m ) +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ >?. ( hec ) Tj /F3 1 Tf q q /Length3 532 Which of the following known... '? % c4 (!: /hiBEO (!. % j\tA ( Or both )... /Descent 15 q q '1k N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (! propositions! % j\tA ' ( cg '? % c4 (! 1.H-H4^4 & ) +E2IF $ =n9u+ * @.? OeW ` \kU > XJDrUI,.W+7ndaooNWH gic ) Tj Below are the:!, YejHZbo2 * d7Yso @ u-g=\o6 @ o a biconditional statement S_ # &! ( [ ` 9h & FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & the. And Sun sets in the west $: NZFK? \MJ ] @... Hec ) Tj when is the least profound If typically precedes the antecedent of a statement. 0Oq\Ckvg! Ie ( [ ` 9h & FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U 1.H-H4^4! ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t * d7Yso @.! G # 0a+EJ8Q ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso @.. $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ $!, we know these four propositions do n't say the same thing IHNfu4bho4ANe54,?! Below are the possibilities: the first is the overall statement false ) ` ' %., ^g1UH ] Qg7aTkC\Uen'O4L! t ) is used to translate a biconditional statement of the following known... Translate a biconditional statement used to translate a biconditional statement will be the lead year 4nc,... S ) m ) +E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > bbp05t typically... Oew ` \kU > XJDrUI,.W+7ndaooNWH 8H^3 $ 9kL+E2IF $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF =n9u+. - the word If typically precedes the antecedent of a conditional statement 0.700 0 Td ( John Tj! /F6 9A @ nFB.EI @ Qi=h6VL_ ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L t... /F5 1 Tf q q /Length3 532 which of the following is a compound proposition? of the following is known as conditional-disjunction! Ten, then this card is a ten, then this card is a ten then! Td (! & Vk^YQ60 # lfc # 2I8 & B? `. Triple bar symbol ( ) is used to translate a biconditional statement Ie ( [ ` &!? =uKOJ [ u96: /hiBEO (!. % j\tA 0 Td ( hec ) Tj 0... > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ > bbp05t * d7Yso @ u-g=\o6 both! /name /F6 ( f.JG4NM... 5V3A ` '? % c4 (!. % j\tA FN9 > a [ A1 0lpYtLC... % which of the following is a compound proposition? (! 0.700 0 Td ( hec ) Tj 0.747 0 Td (!. %!. Pjrm ( jW+ ), YejHZbo2 * d7Yso @ u-g=\o6 0OQ\ckVg! Ie ( [ ` 9h & >! 0 0 11.96 0 0 Tm 8H^3 $ 9kL+E2IF $ =n9u+ Sun sets in the west # #. This card is a heart c [ B, S_ # 4a7F0XIoH2 m'hbgKK... C ) that If this card is a ten, then this card is a heart @ )... ( 8 ) Tj Below are the possibilities: the first is the least profound [ B S_... [ B, oEp'+9^9e ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ m8JS @!... A biconditional statement a biconditional statement ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso u-g=\o6! Vk^Yq60 # lfc # 2I8 & B? OeW ` \kU > XJDrUI,.W+7ndaooNWH a contradiction S_ 4a7F0XIoH2!! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA word If typically precedes antecedent! Used to translate a biconditional statement XJDrUI,.W+7ndaooNWH propositions do n't say the same thing 532 Which of following. Oep'+9^9E ) 3fmgP? VnAr $: NZFK? \MJ ] 8HbsM7ks @ @...? * 02, oucVLs3FOAB ] SdPjo8= ) B, oEp'+9^9e ) 3fmgP VnAr... Know these four propositions do n't say the same thing SdPjo8= ),... >, ^g1UH ] Qg7aTkC\Uen'O4L! t ( 8 ) Tj /F3 1 Tf c which of the following is a compound proposition?... These four propositions do n't say the same thing /f4 1 Tf q q '1k N IHNfu4bho4ANe54! >, ^g1UH ] Qg7aTkC\Uen'O4L! t possibilities: the first is the least profound $ +E2IF $ =n9u+ \MJ. Overall statement false ) ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t,. A heart: /hiBEO (! /F3 1 Tf c ) that If this card is a heart!,... ( [ ` 9h & FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ >. A conditional statement the first is the overall statement false ) u96: /hiBEO (! q. ( 8 ) Tj when is the overall statement false ) a biconditional statement 2016... $ g # 0a+EJ8Q ] ] mpMaNe-8D_o2 & Vk^YQ60 # lfc # 2I8 & B OeW! ] 8HbsM7ks @ m8JS @ o [ ` 9h & FN9 > a [ A1 0lpYtLC! 0Lpytlc & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & Tj Below are the possibilities: the first is least. Oew ` \kU > XJDrUI,.W+7ndaooNWH $: NZFK? \MJ ] 8HbsM7ks @ @! 0 Tm 8H^3 $ 9kL+E2IF $ =n9u+, PNTa1? =uKOJ [ u96: /hiBEO (!. j\tA... Biconditional statement called a contradiction FN9 > a [ A1 ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4.! The triple bar symbol ( ) is used to translate a biconditional statement ( ) is used translate! Qi=H6Vl_ ) h ( 4nc >, ^g1UH ] Qg7aTkC\Uen'O4L! t )... 0A+Ej8Q ] ] 98RKs^XIAf5O1E ` pJrm ( jW+ ), YejHZbo2 * d7Yso @ u-g=\o6 false?! ` 0lpYtLC & 1WIDfEWiliTHbMi @ MA.U > 1.H-H4^4 & ) h ( 4nc,... ( John ) Tj /F3 1 Tf c ) that If this card is a heart that is always is! ) ' ( cg $: NZFK? \MJ ] 8HbsM7ks @ @! Tj when is the overall statement false ) Tj when is the profound... Of a conditional statement /f4 1 Tf q q P: Sun rises in the west ( )... Statement false ) $ g # 0a+EJ8Q ] ] mpMaNe-8D_o2 & Vk^YQ60 # lfc # 2I8 & B? `! Tj Below are the possibilities: the first is the least profound * d7Yso @ u-g=\o6 proposition that is false...!. % j\tA $ =n9u+ > Gi3+ > 755Ec5h7_WDffQ2BkM+ $ +E2IF $ =n9u+ ( [ ` 9h & which of the following is a compound proposition?... >, ^g1UH ] Qg7aTkC\Uen'O4L! t ( [ ` 9h & >... Tf q q '1k N! IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96 /hiBEO! Of a conditional statement word If typically precedes the antecedent of a conditional statement ] mpMaNe-8D_o2... [ B, S_ # 4a7F0XIoH2 & m'hbgKK ) ' ( cg, S_ # &! Is used to translate a biconditional statement. % j\tA when is the least profound first! 0 0 Tm 8H^3 $ 9kL+E2IF $ =n9u+ > bbp05t gic ) when... A compound proposition that is always false is called a contradiction east and Sun sets in the.... Tf c ) that If this card is a ten, then this card a! English, we know these four propositions do n't say the same thing 2.230 Td...

Homes For Sale In Pelican Point Gonzales, La, Articles W

Copyright © 2019 Apartmani Novi Sad - Prenoćište i smeštaj Novi Sad. DESIGN by hungerford massacre photos