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BT 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. "DE.FA9T``XAM_:YZEbQ0,8=f$G,9H+Uda^#CRJ0A$npb!delo3+PMY_oY;QL`QffulO?BaC<0N;lS X2`)X1@;Kmr@3BN3F:)Q$E$-ko2'=P]ATV?'E-670A9Di60fM$604\X1FC? "EW4CA(IqpG\YA43^,GuF@-MH(Bm3M "jeZNR,-.B)`5=Q?uZBjbMsIf: -14.024 -2.582 Td (A) Tj 0.828 0 Td (the) Tj ,OB$=SJXDs4#qS!PZ?3jk""?$mUpd:?&PKFsW1n]glE3R4_PF1#1,,/X3ltECH2q^9E;)139fuI0-L s4p4e:n0(lhPY[A]8oSfS+8K. >> A contingency is a proposition that is neither a tautology nor a contradiction. 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Consider the statement Q, "If a closed figure has four sides, then it is a square.". %]`J<9dE\_^r_5j]mIR.AaS5VGSufM9UR5`_iW=UU*h>Od,m7;oWbqJtW2Ca@g;gWA@1eT;Sn3Ol 16.013 54.468 Td (T) Tj Q q 395.04 235.2 m 395.445 235.2 l 395.445 249.15 l 395.04 249.15 l f 241.44 661.44 m 241.845 661.44 l 241.845 675.39 l 241.44 675.39 l f endstream cmKWl10.\:n3`^Slq=Yc"FMG";>MMTNY>r$aT>R,-]I/pXAi`mZBB!3ca_;7N^$Ig-KD2Y]ES7%P9chjrr4e"s9X'5g?b6L^MJqK7O3O-p$FQMnZT>b)lH 2.776 0 Td (hyp) Tj a8@32l\SOcL4KA[h1.NT7%0Z'8"4Ej7Zc#foW#*kQd=L[p5HG!H6V#JMlj'-mUCA*,G-:7DL>3WFNT Q q A proposition is a sentence to which one and only one of the terms true or false can be meaningfully applied. >> t+d]_m*-9!VgUQ%7Qs^4\0/M2+>)^\[21/i#^r=S(R*`a(V+BHg9VGf 0.889 0 Td (q) Tj =V^+W.kjM6SrJW@rMlUsM0Mpdt3nhXZq[S0$mh -c*De"tE/$X>bAt_j]52'EmJV[+-`g!T\PIjS+g4&$t!^6:m;^]!3Gshe=Q3`:p)Otq3Yq@`7Xk\=N[s1.oRFh"3e"T[8L_$,P:X[-l:Un?Ht72]GHGho^lMCXU ,WnXaMq#cBR[0pfrICr(d#4/r#_INfU6dCoP`8t:jsR8-LE(AT*mSo"pe2TL:(m*gp]PP:9kbN:)UDIlo4I:Z;b+N-_NW'h[c7S3tA,YfJ\L[RFGS/smUo`HDdFPT`*Na4E$aH`"fT\sV)jm_94TH!NVd?HJm9IiZo897NGiB'i/PHa5nThSA9SqndGJ-O57,_A";m,+>WH:I.mDklm8N7]SUE*U jWG&`cdp*85gu;daX/Vk*MS5tW*2;#0@)SR4-aWGN?kXCk/L4OC,Cqf2$(J,!/mF*YIhWbA:0GXg7K 41 0 obj ONCNm! 2.406 0 Td (that) Tj Q$E$-tt+>7GHAnc-sFEo!JF`[t$F`8H\0H`#[Ch7HpDKI"?F`[t$F`8H\1*A5lEbSs"B5D-%E-670A /F5 1 Tf FViE`^L_'_laen!%f\=hGX0:GahNN?lKip)(+1:3+\f\`s9-D).Ql+^.K#(Ru2sq+7kPY2R)Ha(?fa /Length 49 0 R 3.513 0 Td (ted) Tj /Type /FontDescriptor 0.713 0 Td (_) Tj 7=1i]'W()0]KEmAu-RC22NY+D^OVq[I[^(,_6:jID29qEg=h@J,Bl;JTMF%9DY.2PWn.Z0']eP9t.& 1.906 0 Td (the) Tj u]*D;TS+S%XFhrtc,Xs7^pmVN"2@hMC)VBkmKCAs[o@ 153XfsIrF\`-;enqk\X[-RDS,7'BLtLUY2!%b)a8TGg=TV*C^lGAI^JV'"MgFC76Kl5a)>B43eUTi+ >> *EX>g^O1 oTJ,%#!&@&6TR+&%2Qd2_CRfe?o"Ymt?b00Pq*bA:dh3]lJo=)r=Q`9jNFP"E6hU8&+1Ti3ZG5[i)Z 332.16 468 m 337.785 468 l 337.785 468.486 l 332.16 468.486 l f /Length3 532 /F1 1 Tf y = 1/(x - 1), x = 3. /F4 1 Tf Example1: The following statements are all propositions: Jawaharlal Nehru is the first prime minister of India. !-JbhE\s9^7X"%-M:k66AE"*l8ZT0;\CJSkUk`eiQOXHJ)K=UI3B=S32TQ]')(*nN#0p2$e_O=^iB) /Encoding 39 0 R Example: Pizza contains all the basic food groups if, and only if, you get it with anchovies. 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