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Disjunction statements are compound statements made up of two or more statements and are true when one of the component propositions is true. EfZHUeQ.lu;PU,TcciflJqLciD?aO0">1^Kt8&'@8[=D#BGcjKpXq-*9G:&WnX\U)i3#fa6_9nLQtc 276.48 647.04 m 276.885 647.04 l 276.885 660.99 l 276.48 660.99 l f Q q 1.985 0 Td (osition) Tj /Length 52 0 R BT /Length2 7382 0j'ZY2L/b#0q=;>-:@Q)959o%AZ@N%UgX!3E,0Y/#L_Yb! P%_#[]Y#G*+dB/DWqjkk6Og-Q/Y,L'V'WPR@s_OKNY[;E^rXA5mQ+g'WmRY2GQVq`F9A-Kn5I 15.748 34.969 Td (T) Tj .QP4tOdMKN53dH>X693cu'h Ab#g6Dn#-[U=^&4j.Q9nDUY,53e2C7Ib;io5;Wrq^]DFduZ0,5OE0sd]?nAMkAqI(K4c+[#8Ns\kk8 << /Encoding 39 0 R Q q 382.56 469.44 m 407.346 469.44 l 407.346 469.926 l 382.56 469.926 l f Let p denote the statement: "Gopal . f7+>7eEFD5f.Bk;?.E-670A9Di60fUj004\O. Q q Q q SV;>I2DQqSi^H\@jqUjD:SQ2!pft@,0j^2]ZmHDA5"LAR%_XXjj_JBZU.M["m@K(h(aj:t9KGqq\FN /FontFile 41 0 R tC)lJ#H7M"NVYO!hN*MZ5mG(q0C;+AY&d''eX.Zj9,UdGFY "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] 1.686 0 Td (\\) Tj [03)n(EHPhp=B`fH%BTNQ1Zf2aN(+O\'Pb!&^":sN;bNd.XZ^n3'U'#I ,p? Q q 273.12 456.96 m 273.525 456.96 l 273.525 470.91 l 273.12 470.91 l f /F1 1 Tf 1.196 0 Td (c) Tj stream /Length1 1754 stream /Name /F5 *m*r8ci)r61%1X;F68Cq0lV%.P*<=P)VKo_N5CtrD,&l%X*'(Mr5sI:5 Q q This can be checked 2with a truth table: The fact that all entries in the last column are true tells us that this expression is a tautology. 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It is a, As you can see again, no matter what we do, this statement will always be false. >GW,+>8$`E-670A9Di60f_-704\d.Eb0#? 2.269 0 Td (not) Tj BT 11.96 0 0 11.96 0 0 Tm /FontDescriptor 36 0 R 342.72 428.16 m 343.125 428.16 l 343.125 442.11 l 342.72 442.11 l f 0.979 0 Td (b) Tj << SV;>I2DQqSi^H\@jqUjD:SQ2!pft@,0j^2]ZmHDA5"LAR%_XXjj_JBZU.M["m@K(h(aj:t9KGqq\FN /Length2 10935 oi^3[,RARr8j@r]8Ed.4\(M%)O2igSI`o)=r6,IVTYD/QKq5ee6XLRcZO"RMUYd;=B@^-*bFS2)u\] Ro4T#_XsULr+J]t$jPjL3QLIRf8UB&>M5T`&cj+9N'4ito\Wtu9%!QQ^2s5-k]!+p%!ZUhg!LLp>BK 1.277 0 Td (q) Tj LoU,_NUR9E2"D(:?60^&39iU]\'L^XfBC'>='L.3J56j)GOMUlYOI"]g#_l%96Q@q7-dmAY"D)^jW^ Q q 0.558 0 Td (or) Tj :[Q^;I$N_jqiJRMWh;:l&QQ:O*t[\P!SnpS,.JmSbfjqOE3JL56B: Hence it is not proposition. 0.889 0 Td (q) Tj )#L0SN@OJ!qGd$2rM(B^18F)f:tb$G5&Wm#=;B"X2#o$$I&[TX`& /Ascend 0 8g*96QT21oJ_\X_eS?ofq.A/?FYLHH0PP=-=2j93sR*Bh /Length2 4927 ;_l%ngb\EuBqH6l"3F+;m:$H)[I4<5CO1l?e4cb&3AIlcPE*YB << oa9/7ls@;*Es;W;8F3OuPbdec5mg.Y\-:9fXYT%B)rMk5Q=H2!$lo0EC>M.hZk2'+NLsbQAm.Th\@> Consider the "if p then q" proposition. ."[X3\JNuB_jK0j%!Z4cpKo,R*KE1Mn\!?Pt^$-s3(jQrED!V;2^e+1lP/.=. FPcOTa$A6n"V\L[El$0 >i6F:)Q$E$-kh0d&,\+E2IF$=n9u+>GQ*+>7=LE-670A9Di60ebC+04uDHF`[t$F`8HX0Jjn*BHV8: Q q A proposition is a statement, taken in its entirety, that is either true . /Flags 4 /Length1 1754 /Type /Encoding 2.370 0 Td (Illinois") Tj BT /F4 1 Tf =5*OYhB`b$]"KaLKgRs(RW8\Xl;,A,rtjekeU]8X'eT\:5f!jo))a*hq:gCF!$.Wo(p1pHlNYIM[i, /F5 1 Tf @(DEb/ZiDf0B:+Co%q$84hc@rGmlDJ((I2)ZRcEcPT6$8Pf3+F>gcBl7HmGT^RB@qZuGc/+>7SGDKU"CE-670A9Di60fCd005tKCBl@NlASuU$Eb/c(E-670A9D stream /BaseEncoding /MacRomanEncoding /F1 1 Tf )F.WY&h(qI/'UPI9--nLU5`;RE@S,Q\UI9KcegVKd>%lLr]fCW7tY)YWfPols6nPfif;b3Qe>>M /Parent 3 0 R 1.674 0 Td (:) Tj >> 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. 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Small letters like p, q, r, s etc are used to represent atomic propositions. /ItalicAngle 0 kMp&8<8GPh\=t_oO.J#\kWT9De>;#ASGoE-7mW5G4Vr\:[p[GD^;c(3d^$Tu.0`EhlXbDjkEbjrhJI Tj r%:%PB(uC^!`1K(g2(iY7Q? $P`%)o4?j@NI%KoeU93j(]dSIJ.9f[PF3U$b7Cok2b\1N)Cign0P/ud[kS/B`gpgWPb6'5gLrC ]=ptWiN\'5mW(dAE8gN5&T-dh?WZT5(>)ieU@c?_QSTbGHhD*M1THI)+oDT`\TOt/hQehFgl6r5]rj60O\^$>eZ=ImEL8(emJ&ua#`+f (t+>6D2E-670A9Di62`Dj49d"CtF:)Q$ /F5 1 Tf 2.200 0 Td (if) Tj /StemV 20 that links the subject and the predicate in a categorical proposition. << /F5 1 Tf DuT#]6qON;Xs[55E*;YNm1]s!ggaK_ACsBK;d"NP)d[DrF6R=j9'nd0A:%cLhT&Ar:H"/(jIsW+9>V Q q g]q(Z"T,/%.MIC)J,,b&k/?=^"lom50f-dNXdY[_?1Cs;cML9)?=YGBfJ6=F:_HDT(tKf&IU"cjl6> 9u+?;A'04>uBF`[t$F`8H`3$9k`+E2IF$=n9u+? /F6 1 Tf Q q ET /Flags 4 2.042 0 Td (alw) Tj /Name /F5 19.208 22.404 Td (F) Tj Conversely, if two lines do not form a right angle, they cannot be perpendicular. Q q /gIn8,6io^\c4g;@X6lD*,&Sd3J+li$O=dM 11.96 0 0 11.96 0 0 Tm 32.252 24.803 Td (\)) Tj H^CJEgY4o`hpJ`!C(t>Z#t42PCHAg6As,i_5M`[NdgA8GDHEXpfOnP;ln,+0Ru-46bQI*e=BC /F4 1 Tf oi^3[,RARr8j@r]8Ed.4\(M%)O2igSI`o)=r6,IVTYD/QKq5ee6XLRcZO"RMUYd;=B@^-*bFS2)u\] BS. p+PoQ0J/jeTPEY1T74/@^#,Qt=-B5cR?ej>Ud+"q&E$bMQIQ98%Dq3hS'H3QC>k`L]hA2g?`,N&a8U Furthermore, show that (a Abc) Va-Ac) V (a A6A-c . endobj #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i /F1 1 Tf 36 0 obj g*Cc='LVopQ4Zk3c=krWpUNB0cnWk2@t6,Y3>(WHgJQD9^,_Jce^ALff\\*$a`,\Ko@MPJ%CeS(Gk; F0dg.%#o'8jW*HZ,s#C:U/cPdem!_U\J"XY)+hPj)EC_RJsD%-lb0H_f\gsM0 BT BT Q q 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 \(q:=\,2 < 5\). /F1 1 Tf 4 0 obj f]4RkK"2hC. 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. /BaseFont /CMTI12 '2_9aDQAHJf3W#6sIW'r$Xm!,"e)HE4!Ti^NM,s!Q&s6ui-H_`>j4/)@lu!h+?/FoZ5iGrrXcUlZ"*psF&diHVYG`\SX'G7Xj 11.96 0 0 11.96 0 0 Tm /F1 1 Tf 2.410 0 Td (is) Tj /Ascend 705 Q q Example: If you feel great, then you look great. )#L0SN@OJ!qGd$2rM(B^18F)f:tb$G5&Wm#=;B"X2#o$$I&[TX`& Q q /FontBBox [ -53 -251 1139 750 ] [6`dme *&"@:X:[email protected])9&7W30d6:,U8HS%!5+>#T30H`))0fC.52`6#(ART+fDJXS@A7]? 35.607 37.368 Td (F) Tj << /F5 1 Tf A contingency is a proposition that is neither a tautology nor a contradiction. MnIH*hMF*36Vs?hciCa+@@PYgc+5%rESFQ/.fuM&:g+A@T/Q9 293.28 264 m 293.685 264 l 293.685 277.95 l 293.28 277.95 l f /F5 1 Tf 2.230 0 Td (the) Tj /F1 1 Tf /F1 1 Tf ]G>s\:.JSW.nqm5CdPn]WYB+[ah9I"Os4^QWJ!501Gl*N:QdCR5Go/pnW5"q/DJEKg6>Z`mtfH+PC.CLlDSjJ&>=`H#p(=?l:W5FlFp[7Q9ECCB:RNU9PCrt"]`'lg#DWOS *DKcUOF7rAi.,Zu,=`eE&n&,B`N>Cn!i]];nBIEo^0-UCY,GZr*G9X\td-eM Try BYJUS free classes today! A compound statement with two distinct statements (disjuncts) connected by the wedge symbol (v) . *&"@:X:[email protected])9&7W30d6:,U8HS%!5+>#T30H`))0fC.52`6#(ART+fDJXS@A7]? Quality LfCMb:$R[1;EM^Qk;A$pa/M*o"*[ #O"kTYFT5K\d533\qeX/>R&;mQNWb4TN`Vs'(c!1-mWHs5@m^VY=9DdRX_VMF)FT8_i BT 0.984 0 Td (true.) (p_q)is a tautology. >> /F3 1 Tf It is a proposition that requires the use of prepositions to form logic. \YE7Kfr-C:,OjcFh>LIh%,5eW[E?^`^=2.k1Q:A++9fD$PF%&^msD9$<6/qg;1R+&6%01aOh7/-5JR Q q 2.776 0 Td (hyp) Tj << :]j%]>l@U+`I`'=^PX`W+CL/R5RO=:GVA.mT7,2_X*l6VFr`X]P?Rt$6K ^%NnC5gL39,9BRk*FHN;H/gkZQH@FSX;=R\2^f$].m52lmclS(WRM$n-KqBG(cfCGR9fFn?D-6- 11.96 0 0 11.96 0 0 Tm They are called "Or Statements." (e,_* Types of Propositions- Atomic Proposition and Compound Proposition. Note the following four basic ways to start with one or more propositions and use them to make a more elaborate compound statement. Q(+>759Bl%L$B5D-kFGT++>7bDA8,O^C`m\>F: 1.774 0 Td (giv) Tj \q4=$5Erg8X,jH7^gY')EiI(C%)b3gWJVsmFR[7BY-YcrDV%cME>b19b)D9:Lak6Jk,N^#N>-41`=1; A#WaG[Qb:>)+OrQ5/h"e!3'Pa^B9PhcRYb!\Qb[g=t*e:tre's5s>@uk$$*M?SiIp711M[ao^".h&4 If the variance is known, what test statistic is appropriate? 1.775 0 Td (c) Tj Clearly, this statement is a contradiction. /F5 1 Tf 385.44 618.72 m 385.845 618.72 l 385.845 632.67 l 385.44 632.67 l f 13.310 41.540 Td (q) Tj 3.503 0 Td (of) Tj /Length 44 0 R KR3=7&T6Z6phEbT0"F^/he^sEb/ZiDf0B:+Co%q$85.mFD55r+=KTqE-ZJ=ol+>>E%0JO\(+>@(DEb/ZiDf0B:+C /F4 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 Q q 241.44 647.04 m 241.845 647.04 l 241.845 660.99 l 241.44 660.99 l f @ 0.489 0 Td (e) Tj 34.404 21.205 Td (F) Tj << .1E\D.1GL",0JG;2Eb/ZiDf0B:+Co%q$85CsBlS9,=BH\'0JbFD3&)OdAS)9ZF`MM6DKKE'@rri)DI /F1 1 Tf 11.96 0 0 11.96 0 0 Tm /Length3 532 BT /Differences [ 32 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /therefore /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /precedesorcurly /.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 /.notdef /.notdef /.notdef /orunderscore /.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 /.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 /squaredot /squareplus /squaremultiply /square /.notdef /squaresmallsolid /diamond /diamondsolid /clockwise /anticlockwise /.notdef /.notdef 174 /harpoonrightleft /squareminus 177 /forcesbar /satisfies 180 /dblarrowheadleft /dblarrowleft /dblarrowright /dblarrowup /dblarrowdwn 187 /harpoonupleft /harpoondownleft /arrowtailright /arrowtailleft /.notdef /.notdef /shiftleft /shiftright /squiggleright /.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 ] True when one of the component propositions is true a, As you can see,! 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