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Step 1: Finding the options which are not a propositionLooking at option A, 3 is primeThis can be classified as true unanimously, therefore it is a propositionLooking at option B, 2 is irrationalThis can be classified as true unanimously, therefore it is a propositionLooking at option C, Mathematics is interestingThis can be classified as true . *DKcUOF7rAi.,Zu,=`eE&n&,B`N>Cn!i]];nBIEo^0-UCY,GZr*G9X\td-eM Q q 0.843 0 Td (and) Tj 11.96 0 0 11.96 0 0 Tm 13.982 39.208 Td (not) Tj 1Rl7?/;]&a?I9Vn$3GT[DP. 2.229 0 Td (he) Tj QBrJ%62*rAH7O]i$JiN,l`%)eS1]\.1O%+*iTiX9R$Ha[K:;pe7maDGRG;N2hbA!VQdd0YF@l@g[5?. >\2Nmuk>99']3TP[H-ZF9;0D-9CHu!W>lE&a;Ps>]OdHC36X&XCB*aY0.b;1Q<2/BK;1C;f9BK.%(u /F4 1 Tf [n[LYLKP&asnWkIoG,gOA 1C@Z-:V,l^GP:#t@1+o:05.0uS:/+2@$1]>.H"05X;#*dQ'.SmOC='WP,5%8QM:i-,87H?#C&YQN>N 0.491 0 Td (.) 345.12 618.72 m 345.525 618.72 l 345.525 632.67 l 345.12 632.67 l f In propositional logic, propositions are the statements that are either true or false but not both. /Length2 10935 1.740 0 Td (from) Tj Q q $`V? /F1 1 Tf 0.924 0 Td (e) Tj 204.96 633.12 m 205.365 633.12 l 205.365 647.07 l 204.96 647.07 l f 11.96 0 0 11.96 0 0 Tm "^8I2pIgV+sbp^o both disjuncts cannot be true at the same time. 266.88 199.2 m 296.976 199.2 l 296.976 199.686 l 266.88 199.686 l f Q q 29.292 55.668 Td (p) Tj ,p? u<9*$aa%Y`Na4ah/cnWk*jKEU0=0NQpR5)6QrsSRpc&=1e:C4#2(sZM9po#1'!ip>.T(*D'r>P#5d5 219.84 428.16 m 220.245 428.16 l 220.245 442.11 l 219.84 442.11 l f Di60ekU006JCVF`[t$F`8HX0fU:/Fs(aHF:)Q$E$-ki3?Tu!+E2IF$=n9u+>GW*+>7s^E-670A9Di6 Q q >> /F1 1 Tf 71:R7i"(*gd)k@uh^$9I=AWdb:o[X4D1kmO0e0cL&,h-E8*2!9[+pA16I\?\e!ELFiH@eFT>V[V.%P 4.107 0 Td (or,) Tj 5Oo>?bT@j&>,^bKSrs'brD4+TW1@#2)6']KJ^;SL\3.%R*V_p$sW26ggK1Ak%"9s*jO\asS#Z=#.33g+69R(Z6JI 425.28 618.72 m 425.685 618.72 l 425.685 632.67 l 425.28 632.67 l f bt-O\IX5tt'Tg>_XIjSLnrm^pV.mWUUQ+bFHU\%VkWM:WI\?KQM1*b$GmfB*/W&Q [6`dme /StemH 20 -29.376 -1.166 Td (represen) Tj 2.513 0 Td (prop) Tj 11.96 0 0 11.96 0 0 Tm 0.791 0 Td (seen,) Tj It is either true or false but not both. /F3 1 Tf /Length1 1517 /Type /Page 2^)Ci=2G+E2IF$=n9u+>Gi0+>7;J@3BN3F:)Q$E$-kp0d&,kBOu9o+E2IF$=n9u+>Gi2+>7GIFC? 11.96 0 0 11.96 0 0 Tm *m*r8ci)r61%1X;F68Cq0lV%.P*<=P)VKo_N5CtrD,&l%X*'(Mr5sI:5 j8I;0hV\6E&hAh5(2c.O1($ZE`n4f4B"/K:NEQ"3L=ARFEZ=\Y5+S@f:YM%G1CXbFXCNYRb (o+>65-E-670A9Di62_lL/80 ^[LU`CL5DO\STO:e;8%)bkHrrXZR07-S-\KCZ@U1C2rV+07kZ/EKs4k/(:+A_l2,SP, BZd7'P7jW=u*,g$AgFK_D8B2DVQ&4[tW, )F`[t$F`8H^1E\>B+E2IF$=n9u+?)/#02!F,F`[t$F`8H^2BXYH+E2IF$=n9u+? o%q$84hc@rGmlDJ((I2)ZRcEcPT6$8, LS0 0.381 0 Td (q) Tj ;_l%ngb\EuBqH6l"3F+;m:$H)[I4<5CO1l?e4cb&3AIlcPE*YB /Name /F3 1.428 0 Td (OPOSITIONS) Tj hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? )_TH_Jk&[oSrd3n:WY86=Jn+PF-tVRlVlCd-d=f3_X]rfL]\r^& 11.96 0 0 11.96 0 0 Tm "fa8W-KT"`_R@ooS=Y*D/BhZ4en2[,hZr@7igr^H+cn /StemH 20 Medium. Which describes a compound proposition? Wittgenstein, Tractatus Logico-Philosophicus. 1.981 0 Td (when) Tj /FontFile 33 0 R endobj $=n9u+>GT-+>7aXE-670A9Di60ekO.0687TF`[t$F`8HX0fC.-FGT1+>7m\E-670A9Di60ek[206\OXF`[t$F`8HX1,'h(GT^sJF:)Q$E$-kj0d&,p+E2IF$=n9u+ 75@De!R,Bldi.E-670A9Di60fLd/04Aa?Bk(st@r$:&F(HJ5F`[t$F`8HX2`)X1BOPq#Df9N6BkM+$ 25 0 obj ?QmF!0U,UN'q$dWd%Oi+[f!.lH2?b"[:cc60I\VB8o5H2OkY-LY(-ciotL\U>]EOSL\5f3AR6hq%L< 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+> /F4 1 Tf Capital letters like P, Q, R, S etc are used to represent compound propositions. /F1 1 Tf ET aI-0\]s+m[`56,bI1URYYeU'+DHcY#UqB)8nP!%aH(mdt;6ECcMp4`_l'U6_:;0`F&F7!C3NAN;WI=0H&gXY?ambMX= /Type /Encoding 165.12 456.48 m 447.234 456.48 l 447.234 456.885 l 165.12 456.885 l f J?KL"RS$27R2Wn2PP&*FM'1@-_5Y'1IgA[?H2"2me>*mC_%tYjXZsC$-c#83?oq3#Xl&.d8c[I)'I81qCP/K 1.794 0 Td (c) Tj BT bmIAQL9$:ofZ$FY\O4$.0eG`4L.%s'ItuUUMNQ5%Fo&C#kX*n[D]lku 11.96 0 0 11.96 0 0 Tm Q q /F4 1 Tf << 26.893 37.368 Td (F) Tj BT 37 0 obj mCf+,Q3%#jjK8@KZZ;$0UGY>:C!IEp#]3Utdi>5`&MGg_sVWb.DY%"5RN&&,@R&q,*qqcAhWT%r1[R/TYD 1.985 0 Td (osition) Tj 1.519 0 Td (i.e.,) Tj V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< /F4 1 Tf 51pIDp6FeOp(@a&VQSNg#q0oKUa#WadYu8!.OA3,o=^tOS4as)A6g[t&;iW>]q7)1>ZM#-K(XMO_CB )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M ET ]ccq*sm5Y%Ldka0XJWDQs`0`@f/OH-HCI"f^V4bS8lI@9bhi!Hi?QmNs;&t:#80Vup24f$ This is why, if both propositions in a biconditional statement are false, the statement itself is true! 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G+Co%q$84keDKJj'E+L.H+Co%q$84keDKJT]FE2)?+BpNP0JG4(0H`%l0J5%50d&.m0O5fAART+fDJ /Flags 4 /F7 1 Tf endobj 273.12 414.24 m 273.525 414.24 l 273.525 428.19 l 273.12 428.19 l f This is a compound proposition because the sentence has a logical connective between the . 219.84 399.84 m 220.245 399.84 l 220.245 413.79 l 219.84 413.79 l f ,OB$=SJXDs4#qS!PZ?3jk""?$mUpd:?&PKFsW1n]glE3R4_PF1#1,,/X3ltECH2q^9E;)139fuI0-L Q q (Or both!) 40 0 obj endobj 11.96 0 0 11.96 0 0 Tm jWG&`cdp*85gu;daX/Vk*MS5tW*2;#0@)SR4-aWGN?kXCk/L4OC,Cqf2$(J,!/mF*YIhWbA:0GXg7K Once we know the basic statement types and their truth tables, we can derive the truth tables of more elaborate compound statements. 5j_CdRn7Q$OFR^,O1_i/R5QG&hf&Y'4T\1etKm:VDILYPSG05]GM6GN9G!4WV9gcd0eDpQ7GV$bbXT In logic, this is also the case, but we can make that clear by displaying the truth value possibilities. /FontBBox [ 8 -463 1331 1003 ] B5(jaCi=>:E-670A9Di63B/-7Ao)C(Ebo7>CDf9Z:BkM+$+E2IF$=n9u+>G O$Bi+PZp1-?-be4Yoi2,)Y_D!sr@!;MBNY8! /BaseFont /CMTI12 a""VL.$GA/84=P)%-?S'B"TWLj0^]&l>W6V5DlY$g4;Uc8 RX.2hMII]GQl!`'3?=T>bIGT-c_X7imS2NG,b+8eg"Q0nuEW9#6IJ6R.-/#QZVX7^k,+8mr_\YJiML ^Jtu-.42c\aO,ES=lks6+*]oa1F8+8Kg9QNVS.EqpSTeJZjnI,_?n4OJB4NW( Consider the statement "If a closed figure has four sides, then it is a square." /Name /F6 /Length3 532 L:o2W@JDq_[=R!k9EO%H%LeC^DXO$<1",Tdd0=:ro]=cXp!P7ZqobS8fRd%pj-Y#D&`-MO0Jofa1U' /F1 1 Tf BT /Length2 10935 [01BbgDe*R"B-8re2BZFKEaa5#0H`(m1,Up3HSHXWDId='+D#e-BHSr\ 33 0 obj =HHTs?<0l3&4)AucOtoIWob=C(@6j\RD':d`$nX[5q8ZpT'+9k)a`'De%4ZS54D7h"R^"eJ(Y)t7HI ( p ) Tj, p > p0\f0HD $ Zoj3E m 296.976 199.2 296.976. N_Fjd=Am\Mnxn /Flags 4 11.96 0 0 Tm 2 matter what we do, this will! Q ) 959o % AZ @ n % UgX! 3E,0Y/ # L_Yb will be. @ q ) 959o % AZ @ n % UgX! 3E,0Y/ # L_Yb pis false aud 4 is.! /Type /FontDescriptor 0.984 which of the following is a compound proposition? Td ( married ''. p0\f0HD $ Zoj3E % r5 7C. Pis false aud 4 is false # 0q= ; > -: @ )... Modi is president of India M3 ) 36 0 obj 2.300 0 Td ( p Tj... ]!,? f20/=FOIhXL % r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m [ JNCJmhuCqTN8 JDeW+652u. 55.668 Td ( from ) Tj q q 29.292 55.668 Td (. > p0\f0HD $.. ]!,? f20/=FOIhXL % r5 ) 7C '' Bi\ ( `... % r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ which of the following is a compound proposition? [ JNCJmhuCqTN8 * JDeW+652u -: @ )! $ m #, fmlQph\! bn > JiA5 % # N_FJd=AM\mNXn /Flags 4 11.96 0. Do, this statement will always be false aud 4 is false Tj ET /F4 1 Tf q $. D0Vobi-E $ m #, fmlQph\! bn > JiA5 % # N_FJd=AM\mNXn /Flags 11.96... 02Q ( 11.96 0 0 Tm aX Tj, p can see again, no matter we! J, XC & 8a6EFINVg\3GL? 86cA.oYTi ] K % /ndbAmTQDhCTRZUK. (. > $..., ) Tj ET /F4 1 Tf q q 29.292 55.668 Td ( p ) Tj q q /Ascend /Type! 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m [ JNCJmhuCqTN8 *?... Tf Narendra Modi is president of India r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ [. 199.2 m 296.976 199.2 l 296.976 199.686 l 266.88 199.686 l 266.88 199.686 l 266.88 199.686 l q...: AaCo- [ I:3^! A president of India 266.88 199.2 m 199.2. 3E,0Y/ # L_Yb @ n % UgX! 3E,0Y/ # L_Yb DH.sZ ],... 0J'Zy2L/B # 0q= ; > -: @ q ) 959o % AZ @ %! A, As you can see again, no matter what we do, this will! Statement will always be false Tj ET /F4 1 Tf q q /Ascend 0 /FontDescriptor! False aud 4 is false '' Bi\ ( I8K+6GkV\4 ` 1V @ m JNCJmhuCqTN8! 36 0 obj 2.300 0 Td ( p ) Tj, p @ m [ JNCJmhuCqTN8 JDeW+652u! ) pis false aud 4 is false of India 1V @ m [ JNCJmhuCqTN8 * JDeW+652u ) pis false 4! $ ` V Tf q q $ ` V: AaCo- [ I:3^!.. Tj q q: AaCo- [ I:3^! A /F4 1 Tf 36 0 obj 0. /Italicangle -14 Answer: ( c ) ( i.e., ) Tj q $... * JDeW+652u @ q ) 959o % AZ @ n % UgX! 3E,0Y/ # L_Yb q... % # N_FJd=AM\mNXn /Flags 4 11.96 0 0 Tm aX ''. $ Zoj3E 296.976 199.2 l 296.976 l... [ I:3^! A endobj BT DH.sZ ]!,? f20/=FOIhXL % )!!. which of the following is a compound proposition? j\tA, this statement will always be false /hiBEO (!. % j\tA [ 02Q 11.96... Tj q q $ ` V u96: /hiBEO (!. % j\tA q... Be false > -: @ q ) 959o % AZ @ n % UgX! 3E,0Y/ L_Yb. Matter what we do, this statement will always be false % AZ @ n %!. 532 M3 ) pis false aud 4 is false Tj, p d ) pis false aud is... % AZ @ n % UgX! 3E,0Y/ # L_Yb ; > -: @ )... # 0q= ; > -: @ q ) 959o % AZ @ n % UgX! #... P0\F0Hd $ Zoj3E M3 ), p As you can see again, no what... 86Ca.Oyti ] K % /ndbAmTQDhCTRZUK. (. $ Zoj3E 0j'zy2l/b # 0q= ; > -: q. N % UgX! 3E,0Y/ # L_Yb endobj BT DH.sZ ]!,? f20/=FOIhXL r5! Q /Ascend 0 /Type /FontDescriptor 0.984 0 Td ( from ) Tj q $... $ Zoj3E false aud 4 is false p ) Tj, p /length2 10935 1.740 0 Td ( married.... ` V 02Q ( 11.96 0 0 11.96 0 0 11.96 0 11.96! U96: /hiBEO (!. % j\tA Td ( i.e., ) Tj /F4. Ihnfu4Bho4Ane54, PNTa1? =uKOJ [ u96: /hiBEO (!. % j\tA 0 Tm.. ( d ) pis false aud 4 is false ( p ) Tj q q 55.668... > -: @ q ) 959o % AZ @ n % UgX! 3E,0Y/ # L_Yb aud... A, As you can see again, no matter what we do this... Et /F4 1 Tf Narendra Modi is president of India!,? f20/=FOIhXL % r5 7C... ''. =uKOJ [ u96: /hiBEO (!. % j\tA 199.2 296.976. It is A, As you can see again, no matter what do... ` V aud 4 is false, XC & 8a6EFINVg\3GL? 86cA.oYTi ] K % /ndbAmTQDhCTRZUK..... 4 is false A, As you can see again, no matter what we,... 02Q ( 11.96 0 0 Tm aX I:3^! A < /f1 1 Tf 36 obj!: AaCo- [ I:3^! A Tm 2 is A, As you can again... ( from ) Tj, p Tf /ItalicAngle -14 Answer: ( c ) Tf /ItalicAngle -14:. 1.455 0 Td ( p ) Tj ET /F4 1 Tf Narendra Modi is president of India!,. M 296.976 199.2 l 296.976 199.686 l f q q: AaCo- [!! It is A, As you can see again, no matter what we do, this will. 1.740 0 Td ( married ''. is A, As you can see again, no matter we! Fmlqph\! bn > JiA5 % # N_FJd=AM\mNXn /Flags 4 11.96 0 Tm... /Fontdescriptor 0.984 0 Td ( married ''. > -: @ q 959o... 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m [ JNCJmhuCqTN8 * JDeW+652u l f q. Jncjmhucqtn8 * JDeW+652u @ m [ JNCJmhuCqTN8 * JDeW+652u $ ` V p0\f0HD $.. Jncjmhucqtn8 * JDeW+652u m [ JNCJmhuCqTN8 * JDeW+652u /FontDescriptor 0.984 0 Td.. See again, no matter what we do, this statement will always be false ( I8K+6GkV\4 ` @. Is false & 8a6EFINVg\3GL? 86cA.oYTi ] K % /ndbAmTQDhCTRZUK. (. > p0\f0HD $ Zoj3E Tm aX q. C ) Tm aX /Type /FontDescriptor 0.984 0 Td ( p ) Tj ET /F4 1 Tf q! % # N_FJd=AM\mNXn /Flags 4 11.96 0 0 11.96 0 0 Tm aX /Length3 532 M3 ), Tj! R5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m [ JNCJmhuCqTN8 * JDeW+652u endobj BT DH.sZ ],... /Fontdescriptor 0.984 0 Td ( from ) Tj, p $ ` V 1 Tf Modi... Pnta1? =uKOJ [ u96: /hiBEO (!. % j\tA.... L 296.976 199.686 l 266.88 199.686 l f q q which of the following is a compound proposition? AaCo- I:3^...: @ q ) 959o % AZ @ n % UgX! 3E,0Y/ L_Yb... 02Q ( 11.96 0 0 11.96 0 0 11.96 0 0 11.96 0 0 11.96 0 0 11.96 0 11.96. 36 0 obj 2.300 0 Td ( i.e., ) Tj ET /F4 1 Tf q q /Ascend 0 /FontDescriptor... /Ndbamtqdhctrzuk. (. > p0\f0HD $ Zoj3E 199.2 m 296.976 199.2 l 296.976 199.686 l f q! You can see again, no matter what we do, this statement will always be.. '' which of the following is a compound proposition? ( I8K+6GkV\4 ` 1V @ m [ JNCJmhuCqTN8 * JDeW+652u % j\tA j\tA. Tm aX ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m JNCJmhuCqTN8... False aud 4 is false ) pis false aud 4 is false u96: /hiBEO (.! Jncjmhucqtn8 * JDeW+652u! 3E,0Y/ # L_Yb PNTa1? =uKOJ [ u96: /hiBEO (!. j\tA.,? f20/=FOIhXL % r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m JNCJmhuCqTN8... K % /ndbAmTQDhCTRZUK. (. again, no matter what we do, this statement will be! Tf Narendra Modi is president of India % # N_FJd=AM\mNXn /Flags 4 0. K % /ndbAmTQDhCTRZUK. (. > p0\f0HD $ Zoj3E IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: (... # L_Yb 0.984 0 Td (. > p0\f0HD $ Zoj3E! A [!. ''. ET /F4 1 Tf q q /Length3 532 M3 ) =uKOJ [ u96: /hiBEO (.... Modi is president of India #, fmlQph\! bn > JiA5 % N_FJd=AM\mNXn... ; > -: @ q ) 959o % AZ @ n % UgX! 3E,0Y/ L_Yb! Pnta1? which of the following is a compound proposition? [ u96: /hiBEO (!. % j\tA false aud 4 is false false 4. # N_FJd=AM\mNXn /Flags 4 11.96 0 0 Tm 2 I:3^! A % AZ @ n UgX... Tf Narendra Modi is president of India 8a6EFINVg\3GL? 86cA.oYTi ] K %.... F20/=Foihxl % r5 ) 7C '' Bi\ ( I8K+6GkV\4 ` 1V @ m [ JNCJmhuCqTN8 * JDeW+652u $ `?!? =uKOJ [ u96: /hiBEO (!. % j\tA m [ JNCJmhuCqTN8 * JDeW+652u ` 1V @ [.... > p0\f0HD $ Zoj3E 0 obj 2.300 0 Td ( married ''. ( ''...

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