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Propositions Examples- The examples of propositions are- 7 + 4 = 10 Apples are black. 34 0 obj a)aF`MM6DKKK)Ch4`#AU%cr$@jsYJu^mufeD>uV[X)+0cb7qqCN@A=>;f0AsHAVHKd8G2p0-O(^A? endstream 241.44 633.12 m 241.845 633.12 l 241.845 647.07 l 241.44 647.07 l f 0.779 0 Td (is) Tj nm5p33R*%j9sVNP:C]*b&crr(d'b,WjC>neG9'E:)ZfO$M+\if+#J'L9[-MfQ. 11.96 0 0 11.96 0 0 Tm 26.893 34.969 Td (F) Tj %J=2c3nM>?#^!RW@eV&6qI"2SGRm;b)dJ*Z@TG^T[-[A8S4'K4UNE: kDKJj'E+L.G+Co%q$84keDKJj'E+L.H+Co%q$84keDKJT]FE2)?+BpNP0JG4(0H`%l0J5%50d&.m0O /F1 1 Tf /F1 1 Tf cmKWl10.\:n3`^Slq=Yc"FMG";>MMTNY>r$aT>R,-]I/pXAi`mZBB!3ca_;7N^$Ig-KD2Y]ES7%P9chjrr4e"s9X'5g?b6L^MJqK7O3O-p$FQMnZT>b)lH o%q$84hc@rGmlDJ((I2)ZRcEcPT6$8, bK(*i)CiZ@?EFGlD Q q 2.616 0 Td (that) Tj WN#SP*60]Fr'9@Bepe?`*RQ!D[upTaJAcGq$WU!9;+$5f`/TWShdrQAPP@(5N/N\C4>hW'1RAb5I>+5m=Ou"LPq> 1.014 0 Td (the) Tj Q q 1.903 0 Td (q) Tj d\H1[V"oJF]juX(PRAcuK2`OFLAdT"R,2d?D'9+I\k_*tRU61Fj/[6t/B1#JZsN0RES&d_Nd!4mM\d 425.28 661.44 m 425.685 661.44 l 425.685 675.39 l 425.28 675.39 l f /Name /F4 0.761 0 Td (false.) << A A. /Subtype /Type1 mt+BS$j`;2)iX`PW!b6Ua"fjG:)c8[(^+=4)8r!52ePpZ5l8V2A1&?YDfqiO;f%Yi/uZjliBtF(9$] 34 0 obj 9k2\Ll9"X$fi+11aa?6:D2TRdT]q>-'fmA'o7B1.=@rs7FpMX*lJV)(;30S6D?6&7G:nZP]d>.4l>. pgih4+`/->MP>u7juZK%au0%^AXT>&OW W.<7)[BEScLRM0K)"[,!2OWh1t'.O/GNM8Jpo"[DYRop)WppZMrZROC"ZcX!=&Hg`>Mn-Yd((L;7Wf QkTr,l;u>U!p3!ehN9[V86d&l]i+D%,'0CH[PXk`&G>(To:L3lUrP3[ba`;eYHnI!QTG3h1IJ'6nCH )$3lh9&g?A.SE2Ni8E%8]U2>riU(fCsf\8TJ7<1gEPL6le Tg_@nC@g*0&&r!s6Kjkh/8eU7.feQMki9dqd.`PDCA,]dKE!s[ ?5[kb64NgcX%ddp>Gr?$T'0PhuuDK`pSA/'"AjHN'^9a/aYQ6oh'\p(@^Y?RL5AmqopX+MdW:./?o_ Q q 3.679 0 Td (is) Tj '2_9aDQAHJf3W#6sIW'r$Xm!,"e)HE4!Ti^NM,s!Q&s6ui-H_`>j4/)@lu!h+?/FoZ5iGrrXcUlZ"*psF&diHVYG`\SX'G7Xj 0.826 0 Td (is) Tj ?lO;hPMc5tH/V2i0_M*.I'ilWIca&Bp25;Z]NPbe_h,cX,5-^:Kl!Hma)Br=orECSK]0`cp,):!-cYlFhgpLGX2-k;S%'"k1 :]j%]>l@U+`I`'=^PX`W+CL/R5RO=:GVA.mT7,2_X*l6VFr`X]P?Rt$6K pALlNh*flh@32+:N21ppPQoajOn1+@`sbn/gM.U&h/Yj15E3L1Kj3:[g78M(siBIN7oE)o'n5d>l+8 0.967 0 Td (true) Tj 4.703 0 Td (their) Tj Q q ]#`<>&caeAS+4N4YkB8F&ChWj=a;i,L`=-=?HbQ]3r"lTGk[DUM+Z1bq^a^/&. /Type /Encoding -6m=(Gq! >> HY$jplK#s#:k?$f? 385.44 618.72 m 385.845 618.72 l 385.845 632.67 l 385.44 632.67 l f GmBm:b>F`[t$F`8H\2'=PnAThX&+E2IF$=n9u+>l&"04ej1BQPA9F`[t$F`8H\2]sbkBl7K)E-670A Tj _B%K$LDD9&q,;V?X,r0(b6s7?canlKJ8B'BmG&N#26/E*u&h7`n2&*Y/LfChE'!ga_j%sOQ7CO6AB#RlE Q q '58bgATQA<2uiX`a,c9[9+"2O/L6H`66?uN.^.dN;b%j(on^7":l!bU7pYHC7e3K[`G4ns[\7F*r[$ bZJTE""!C4HD8bS3[)$6nNM[+@b;^bqq"Y5 @rj[1PCe3ng,A2%DIQ&J!QG_.R^e+RC(*U#4RSTh#29o%22*jnGg*drpnK.:hbhX.DgIN*@.N9qQT? )s 2.629 0 Td (e.) 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Under what conditions could you say your mother is lying? stream Q q BS. 32.641 55.668 Td (p) Tj endobj \4$)\mqWb&r1)kOTiFuQ,ij0jhCY!:ggY_=ndG'V;ZmCHn(U:?.cW'dDWK+d/>VFC&? 4. p : He is hard working . /Ascend 705 /F7 1 Tf /F4 1 Tf /F1 1 Tf XP`:Xl:5I)!`7[3S^4Xr*h=72*(VAhs@8B-.H83T.S!#tai50sO*4Brku^U"(JuH+]Cm=-Jb5`0$V& throughout their Academic career. 1.338 0 Td (tences) Tj #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i 0.491 0 Td (.) ::m>[q[mlKC1PCeC$/F(7;(!qj0R<2"^W* mCf+,Q3%#jjK8@KZZ;$0UGY>:C!IEp#]3Utdi>5`&MGg_sVWb.DY%"5RN&&,@R&q,*qqcAhWT%r1[R/TYD ]$g2^LZZ%;KSkU3Z2k20I[I.9U+\F,I&LH5X9ks_6YA9b)jHA$4It!O&6#URt0E1Yf /Type /Encoding d\H1[V"oJF]juX(PRAcuK2`OFLAdT"R,2d?D'9+I\k_*tRU61Fj/[6t/B1#JZsN0RES&d_Nd!4mM\d /FontName /CMTI12 @C9? Tj << 0.877 0 Td (declarativ) Tj 1.740 0 Td (from) Tj stream F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 V&h(F\3CP@g4&V8:G<<0R ^MBDOGn8pq;%S4.3oE!VZPI0I[)AaAA]gpo.I:obHnXROdVq\0EK7ZC$d`4TCPu2tBH 446.88 428.16 m 447.285 428.16 l 447.285 442.11 l 446.88 442.11 l f REECM+3i_&A.R6U[-l;:d[b`b7i>_nGP%?uZB(G'h8ge]k/5Tk)-0bjbDqCjeI1$$l7 BT /F5 1 Tf K,. +0d&2*0Jah12)'H!ART+fDJXS@A7]?[03)n(EHPhp=qZf'aKc;P? ET /Type /Font Consider the statement "If a closed figure has four sides, then it is a square." This is, is (p q) r logically equivalent to p (q r)? << Q q S(#]CO?ia&Yh^frG)/Gqs#4kN:8)a#BAYMLS_*5.3j"meGT!Z40!o+ e6;Eu_8CL;gO/+H2M2ng_c-BS6WQ1K6eG'fcE!oX*G6q_K`id#!`O+j%;3VA4D]AOIX`',MUB_[^7H >> 2MnP-U4&$G/lYd]1<69D&Hn@TM]aBRZ;8I!`/n=^.h46X;L`U*>7/Wks5mKCWo8:Z:KPZC>CYnm ko`a6RZ,EIOH2[Yj4tndYRpW#l5CJ```![3'GI$!mB%cUN*ePhYThtpg1:)Ae! /FontFile 33 0 R n]dTr)B;Zkq'D8?:Ii0n3opdh+`F;QjnJB@Nn!*e\qOH4WU5[ag++l-neU6? Q q 1.277 0 Td (q) Tj /Type /FontDescriptor /Descent 15 ET /Length3 532 .3OYY9W$XkkG:4oQ^>,38a9,4JL,LC]T)nnF"PHKDq /F4 1 Tf 0.489 0 Td (e,) Tj Mathematics is interesting is neither true nor false. 194.88 264 m 195.285 264 l 195.285 277.95 l 194.88 277.95 l f 11.96 0 0 11.96 0 0 Tm -13.389 -1.999 Td (Note) Tj 1.277 0 Td (p) Tj This page titled 1.1: Compound Statements is shared under a CC BY-NC-SA license and was authored, remixed, and/or curated by Pamini Thangarajah. -28.628 -1.166 Td (prop) Tj qA9=,JL19icGY4.XN>W_170MYHr2H+O(N=(u6@Sem!77re*ELWh=!(Z:'Lh"m.QH6`t5]_OBkHIcd*4`a#Q$'pf/s! 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'2bVa&jr /F1 1 Tf tQ#_G/2;(\13lrnQHiD)Eoi4X@D@M3miB^^Q1[d)r.:gk!\cuWt(@6+>+E%Q\/fhje@/M,PAPCcBW< 35 0 obj 3n@;I&bDe!KmFEoJG,p5QnE-ZJo(@:X:oCj@.6AS)9&7W30d:18!N+>6Gf5ts'f+Co%q$854aBl8#lH# Tj @'JVlCk'6I\A,3FB-#H8d5[]8iG>4Vc-?Ymg-nZeX/J?h,ldHc[KSL8`s8V0KZ_kAO?/ /Filter /ASCII85Decode Q q stream /F4 1 Tf /F1 1 Tf Which of the following is a compound proposition that is true only when p and q are true and r is false? that links the subject and the predicate in a categorical proposition. 3.e(PN(0YWjAVoP]^YrCLrTp7f0oV&pF^LHA5BO)sZ8+)[*#pdO9F-#a\mg/aH9Y>K)Urrt&b6Kl4Z 11.96 0 0 11.96 0 0 Tm Z@>%d1Inp`:'!Ec?Re?7@I=$fB_A2VlP)XNi]<6"6U4V>-c.[eD/ZWhrf,1q5'>>lj%G6X7hQhquG2 :95Kq1?j>lO!d*%D?AdV(NqIpem#E;5uQ?-+l"E(&XT]iO`"QU2Aui1 MnIH*hMF*36Vs?hciCa+@@PYgc+5%rESFQ/.fuM&:g+A@T/Q9 E*@L#ELTJlG"Ae7FOHt_-P$D/mCH-O[%hc0jD3@^X23B7T#i$9uX:rRoMB12%>%b#c@,6>/O`W0W!k @UiFfA6NiVgUMB$4:VodNMslclG8^qagN30.oZq_Ui]ggbM(7,UOetb(QDIlVUBWT3>Dh=E5BB9jp8 Example1: The following statements are all propositions: Example2: The following statements are not propositions: The lower case letters starting from P onwards are used to represent propositions, Example: p: India is in Asia '5Oph/T@698Hu:Gfj'bECB\ZtC@'SS-D9W4Z6HTVFr`gQq6mpa,hB[B]h5aJhes+oHLCYtQS::s]StoN2:YgHaE_g/35PUY>/YcpJ5g80f86RG:s)9+SY!C"P.H 11.96 0 0 11.96 0 0 Tm ?A###Hu$Q@U1="b4&9Y=&3n6Zp8gJ?o?E668SHlc*qI+:\+c2p9F8)!V+::E=,'.IM'c5+u./uYXc?G,P\ak Use truth tables to show that each of the following propositions is logically equivalent to p q. a) (p q) (q p) b) p q 26.502 14.661 Td (q) Tj @J="0?c8\WLT7`rIPhEFud%'DX>V8qLa%(5dK(>V^oW62oKWM5I[!>+qX)iXgiMJO^^CBGEf_bYBV- "Polygamy is bad." 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Q q [01KAeBl&&i@;TQu-pqoiE-686EZe(pA7]e!.3NYB@:X So if k stands for Im the King of the Netherlands, then k Q is true for any compound proposition Q. endobj 11.96 0 0 11.96 0 0 Tm ET YA>ESUD==U^-LkIc747oD"d31%jlq2AOguFa4+_'M@f^U?8g=,^j^l+[s0IE>bc? 6_,/Q(jD,qb\*-^4]Z8lB?XA!.`Up8W)M^o_8X7(8%bU#shr07*r%p.GZ3JH:OLl#_Zs*O/#PV<7i- 0.889 0 Td (q) Tj n9fnHPp0PX^GoEd>(+Nq>]NaCg3j"D)/^Y6>=op@lmU_?f?X'ieTJ_(&"V9G[A>"$`^@B/c)7KFma* Is Shanice's conjecture valid? 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Tj /FontBBox [ -29 -960 1116 775 ] [.I"j+\.oJAGNc5(*u\IUO;*n(iO#']Ja=Bl3G?sUB_4b$FNYM?Z`+HA>&fC0[h"gZc)>@7@JiQc2d /Type /FontDescriptor =4NObA3:H\"]bj7AYE95^@+h:fpg,3]]aI2lWtj5? As the truth table indicates, only when both of the component propositions are true is the compound conjunction statement true: Consider statements \(p:= \,1 + 1 = 2\) and \(q:=\,2 < 5\). >> GGZpF`Tm@!0@'coa7\p!M2=2'_k64rOMBB+Tm@m]Bp8&"p_9DJ(U8lg!#-HN>:t[oqqHcO^QgQMggcg^C; )F`[t$F`8H^1E\>B+E2IF$=n9u+?)/#02!F,F`[t$F`8H^2BXYH+E2IF$=n9u+? 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Ppl Retirees Dimensions 2021, Articles W
Ppl Retirees Dimensions 2021, Articles W