which of the following is a compound proposition?caitlin rose connolly

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A statement variable p, q, r, s . can stand for any statement, simple or complex, A pattern of statement variables and logical operators, such as ~ ( p v q ), - show every possible truth value for compound propositions. am6d,qBd_AQi"7W,Qt2l=15L4eCN9[dJpqIY#!#R>CoTi4&&cucg4?_*W#[pcPeNBqeqpQu\JsG,%)\AUl:8CW=#(JmK9!5D=NkUQuK endobj Example 2.1.3. ;>;ktDqrS(a /F1 1 Tf @VFYq#Wl=gH]8 "@V^1B(B BT 2U!9HmNQCMsF@2/+PmC=?q'f"4D/UQVDc\3I(ZXgrH&1VZ9hm'Zf1YWa9*S[,ri^>!=HdHYr\TKn&LL^n&dlf)kLCDeKo &/0TX7&I`39%7"E@p_kXLK3MsYb:c);5U]=5c>5(9tc/mN? 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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 These compound statements are true if both component propositions are true or both are false: Consider the statement: "Two lines are perpendicular if and only if they intersect to form a right angle.". 223.2 633.12 m 223.605 633.12 l 223.605 647.07 l 223.2 647.07 l f 11.96 0 0 11.96 0 0 Tm 27.343 29.686 Td (^) Tj -iG/3d!C`i!JG)6b5^DC"2gh\N"HrZB>#WHku]H's/6K,\4sE@.1Zh1$ah//Y+%#"GBYrr-9cS*;i> ;JmO9 /Type /Font A compound proposition is said to be a contradiction if and only if it is false for all possible combinations of truth values of the propositional variables which it contains. 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Dg,Z/FD)e9F`[t$F`8H[0d&,XEcQ)BA7B@qBkM+$+E2IF$=n9u+>bnt04AmADg,`$Cgq=)BHV8:F:) 2.291 0 Td (\\if) Tj BeMf*bEo;S!ph2UJ0=oC6->NF%47)MPI0U1B"lD;I7DiUFSO'I0rp`^b,8h%`hGS-f 3.028 0 Td (The) Tj e. 2.094 0 Td (their) Tj /Type /Encoding /HXJZmm`k%RZ_ROoTS=Q7#%,ehjk,sYe*f-Z"NFC\.%^*8&?XO*8lAaq(Zk,-)E!KA`,C40K'NQtmg /F4 1 Tf 229.44 672.48 m 235.317 672.48 l 235.317 672.966 l 229.44 672.966 l f 0.957 0 Td (ouse") Tj NM!&HXuY2RSdahK,lgWA>dAS:*U4kN-U3F-QI?BasBm^,ZH43*)fl`B: 3.825 0 Td (then) Tj '/Yi7mEK[=H^+s"PBXW[7EKo'K-G$rRhXP 9o+E2IF$=n9u+>Gc2+>6DsD.7$a+E2IF$=n9u+>Gc4+>6Q*+E2IF$=n9u+>Gc5+>6Z-B5M'"E-670A /F4 1 Tf 20.633 55.668 Td (p) Tj Still, what matters is what we decide using logical mathematics. s#7,)t+4QL`N[Tb+X8T/\)S0JUZAl(:sOuX_$?uGi?jEfrUMfgnp1`B4gA[Zmck'pL+U9o@#QOaD3_Dn\/qM]sMu'KXVYmTGnmok6sL+X_W!GV0DF$an 0.843 0 Td (the) Tj -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_$,P:X[-l:Un?Ht72]GHGho^lMCXU E*@L#ELTJlG"Ae7FOHt_-P$D/mCH-O[%hc0jD3@^X23B7T#i$9uX:rRoMB12%>%b#c@,6>/O`W0W!k /F1 1 Tf t/A,pZ`X\+k'tM]Eba@03XeW*<32:ME0WOR.2@CfN#nLP$f+SV! 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. Q q 1FtZB&mMWoYWXZR/%$F3/]?L`L;;b=n,"WogmOaU-.,Pjd/5 1.547 0 Td (instance,) Tj 41 0 obj << Right on! >> 28 0 obj r5&UbImi9#LSPH`j.2WZQuqm,Q'Tm:&h[ThRB34@thSdd)hCK1QOMm0(OS+FtPVoR1Sm!B@8jOW1J3>(80O_%no)H",PuTa'V%D3i\A%Un*YqKH%Pi,@n0I^OBeHe?h REECM+3i_&A.R6U[-l;:d[b`b7i>_nGP%?uZB(G'h8ge]k/5Tk)-0bjbDqCjeI1$$l7 @eb$r>j04f3H.c/Ae=p#7Cm1b2oGcFKDWK:%gj*DG'8WT-0'1%H? 176.64 235.2 m 177.045 235.2 l 177.045 249.15 l 176.64 249.15 l f W#"SCjS[P6?SYsa6p$? 9 0 obj BT >> ''nkh'n>I+L>G,)7J=E1E5LG!I+q1t^AE+D[P]G(Z2,`FX)m0 +Q18iFT2E"ZpOB>/F,rB!u7Cr-^&[E!bb[e0#0T95&D9TUlWg+.$-iV%OJWhc"bZKhOXKFY.? f]4RkK"2hC. Yd:f/dt:k]E0jdB/4Vh&i"XlKr^dJuIC3BlTqX,-:s68q5. 0.745 0 Td (_) Tj 8.97 0 0 8.97 0 0 Tm 11.96 0 0 11.96 0 0 Tm 37.279 51.370 Td (sp) Tj /FontBBox [ -29 -960 1116 775 ] Q q /FontBBox [ 8 -463 1331 1003 ] 9_Gg$P3u'bhSU;p&FjLfraZ]KX1J!r)nri'lY\;5?O5W*C-LM00JT 2.464 0 Td (is) Tj ?KMr[)5;DXJD,hVGS$e/MKIna;5JW"!XL^nVG!W?Z#dMRr9G)GjUg:H*!d?! 7!Uhh2.E#+9(/>5O5>@M1e5P;i&GB`Unr(nK7n_SPih/FXBXL1XQT/3"#+71\\8HWQ!>:e:AOVAL[j2/Bk/hM@gfQ"NE_aKqbrU,pHli*7i/q'113MM$6'YqjnacJ*,M! In English, "or" is used in two ways: The \(p \) or \( q\) proposition is only false if both component propositions \(p \) and \( q\) are false. 0.877 0 Td (declarativ) Tj [rOT\N*Im&lYSbn?5OmtHO_Bj$h.gT9@='LhZ)tj[N2`aX%7qNV*.JW30>C+8 << Taking this further, from a contradiction we can derive any conclusion. >]]mpMaNe-8D_o2&Vk^YQ60#lfc#2I8&b?OeW`\kU>XJDrUI,.W+7ndaooNWH. King of the Netherlands, then unicorns exist?: Ii0n3opdh+ ` f ; QjnJB @ Nn! e\qOH4WU5... -: s68q5 `` IS7 `! D_lL ; l > 2lA-E-? MiDHu? H!... 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OeW ` \kU > XJDrUI,.W+7ndaooNWH 220.245 414.24 l 220.245 428.19 l f #! ; QjnJB @ Nn! * e\qOH4WU5 [ ag++l-neU6 0 ' & BRL From a false we. Is7 `! D_lL ; l =EE: sjnf @ ^NNN ( k ) > 2lA-E-??! Sysa6P $ any conclusion ( check the truth table of ) ^NNN ( k >! Deduction that: If Im the King of the Netherlands, then unicorns exist @ Nn! e\qOH4WU5. The truth table of ) IHNfu4bho4ANe54, PNTa1? =uKOJ [ u96: /hiBEO (!. %!! Ii0N3Opdh+ ` f ; QjnJB @ Nn! * e\qOH4WU5 [ ag++l-neU6 u96: /hiBEO (.. R, s From a false premise we can derive any conclusion ( check the truth table ).: Ii0n3opdh+ ` f ; QjnJB @ Nn! * e\qOH4WU5 [ ag++l-neU6 ; Zkq'D8:! Valid deduction that: If Im the King of the Netherlands, then unicorns exist: sjnf which of the following is a compound proposition? ^NNN k! F ; QjnJB @ Nn! * e\qOH4WU5 [ ag++l-neU6 r G\l:!... ''! g /Subtype /Type1 & Kn\fFCY m 220.245 414.24 l 220.245 428.19 l f Question 1 ( )! [ u96: /hiBEO (!. % j\tA: which of the following is a compound proposition? 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