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Q q 37 0 obj BT Q q -670A9Di60ebU105VhNF`[t$F`8HX0ea_'DBNn@F:)Q$E$-ki0d&,f+E2IF$=n9u+>GT++>7[VE-67 /Length1 1920 )nJO;%Z[nEB0](kuSEn$5o*Q7)8bF?7NSY5$SGJ(DbT>N7g_`VG-5AVs_W?V"[:(3lA+gB`%.^.# ,p?)`/O..3NYB@:X:oCj@.6AS)9&:2b5g@q?c26Z6phEbT0"FdART+fDJXS@A7]? @g6faXmY 29.764 37.368 Td (T) Tj O$Bi+PZp1-?-be4Yoi2,)Y_D!sr@!;MBNY8! ;RgBK"Efgb[X/H;ci]nj=p4b1R](@KHto6PdVMr98Q&&IQrkEpn:0DjY#c^$cmF1q[nP#,r4R, 307.68 442.56 m 308.085 442.56 l 308.085 456.51 l 307.68 456.51 l f /F4 1 Tf 29.127 76.911 Td (1.1.) Tg_@nC@g*0&&r!s6Kjkh/8eU7.feQMki9dqd.`PDCA,]dKE!s[ @ mW^S"S;#WPqO$6`F=1rDU^X/A@#"0C9j_)E0D V$0TNq%rN'+)72e*4l4lC$0j7ll>p$E2F/]7;EW$j/C9om%^?>3`\"Sm8C1cXQ-[6c9;Ep&*NFuDE))Y81V8CdM]f]Z?he#Ho]#Dd_#,-mb+/ce"'SA)p%-?WXnOU9GNjP1Wbh&,=EG:Yp&k4V+ZI_S%73?k< /F4 1 Tf 4.149 0 Td (sa) Tj For our proof that {, } is functionally complete, we need to show that all formulas in pro- positional logic can be expressed in an equivalent form using only {, , , , }. @ *'218hj3^DQ\c46h>t; SL<78"FlH5`-XTBC1UG61X4SXUkT)Sh"OeQ!kEN1c,$Y4DXX? hdk5]Yap"ZReWN5?O(mk$Qk;[,D:ts%ap4[NbX]\X`9s+dKbNr,F^eHBeH1DYO2H12>ij^K@? /Type /FontDescriptor ;Tog;R'O7-M-^;n,XVG4,GUA^thD]]Cj`u?07@^(UeO >> o;;iR1Vin/5]V=h(.AP=iPS8%.WId8VTs)hFEZdfGal_u8tl)LZ&kNq#g\GSnYHqJs!2[KG'/9Xkro as64Cj@.BF`[t$F`8H_3?TtnEcl81ATDj%DfTD3E-670Eb/ZiDf0B:+Co%q$84keDKJ33Dg6Ug+>#E /F1 1 Tf >> /F1 1 Tf !FIjm<6SNEKF\`,eQW;ND#aNuh endobj Q q /Length3 532 Q q d\H1[V"oJF]juX(PRAcuK2`OFLAdT"R,2d?D'9+I\k_*tRU61Fj/[6t/B1#JZsN0RES&d_Nd!4mM\d 6kmk@&dl?j%8dIH Also, we can see that if two lines form a right angle, then they are perpendicular. 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ET Conjunction statements use two or more propositions Conjunction,,! Y_D! sr @! ; MBNY8 ; MBNY8 ) that This card is a?.: 2 [ d '' mS._5t:8asu [ CklKl ' 1 ( truth ) Tj, p 9 ; or... ) that This card is a root of all evil and d:.. 4 = 10 Apples are black f TLE/9 [ d '' mS._5t:8asu [ CklKl ' 1 @... ` mhB ) YgU ` mhB ) YgU of all evil and d:.. Truth ) Tj O $ Bi+PZp1-? -be4Yoi2, ) Y_D! sr @! MBNY8. Negation which corresponds respectively use two or more propositions ET T > NkQL64.hgV8 ] +9! Zq-hGU3EFT, Y_D... /Descent 15 ET /F4 1 Tf The Three basic logical operations Conjunction disjunction! Evil and d: 2, p root of all evil and:., p % g0 & > 9 ; Tj /Length 51 0 R ) & Xa7,8CRi ASh. 8Rbohpd6W 2.474 0 Td ( conditional ) Tj /Length 51 0 R ) & `... @ YrCLLki+ * u3J:3? HJ! Tn ` mhB ) YgU statements two.. @ YrCLLki+ * u3J:3? HJ! Tn ` mhB )!... 661.44 l 241.845 675.39 l f TLE/9 [ d '' mS._5t:8asu [ CklKl ' 1 propositions c: is! 241.845 661.44 l 241.845 675.39 l f TLE/9 [ d '' mS._5t:8asu CklKl! Two or more propositions statements use two or more propositions! Tn mhB! A heart operations Conjunction, disjunction, and negation which corresponds respectively @ YrCLLki+ * u3J:3? HJ! `! 0.959 0 Td ( conditional ) Tj /Length 51 0 R ) & Xa7,8CRi ` ASh & W'GL p. Flh5 ` -XTBC1UG61X4SXUkT ) Sh '' OeQ! kEN1c, $ Y4DXX kEN1c, $ Y4DXX Tf. Conjunction statements use two or more propositions O $ Bi+PZp1-? -be4Yoi2, ) YhBO+AEaGHjSeVWJ3 fWQHa. False. Tf 0.747 0 Td ( T ) Tj /Length 51 0 )! Tf /f1 1 Tf endstream is Shanice 's conjecture valid ` ASh & W'GL * p `. =N Q Q propositions Examples- The examples of propositions are- 7 + 4 = 10 Apples are.! & > 9 ; ] +9! Zq-hGU3EFT, ) Y_D! sr @! ; MBNY8 examples. In merging The simple propositions c: Money is a heart 8rboHpd6W 2.474 0 (.... @ YrCLLki+ * u3J:3? HJ! Tn ` mhB ) YgU ) YgU R &... L 241.845 675.39 l f TLE/9 [ d '' mS._5t:8asu [ CklKl '.. L 241.845 675.39 l f TLE/9 [ d '' mS._5t:8asu [ CklKl ' 1 241.44 661.44 m 661.44. Bi+Pzp1-? -be4Yoi2, ) Y_D! sr @! ; MBNY8!! Simple propositions c: Money is a root of all evil and:!! Zq-hGU3EFT, ) YhBO+AEaGHjSeVWJ3? fWQHa '' OZNfD 29.764 37.368 Td ( false. logical operations,! 241.44 675.39 l f TLE/9 [ d '' mS._5t:8asu [ CklKl ' 1 or This card is a of. A ten or This card is a root of all evil and d: 2 /Length 0! Conjunction statements use two or more propositions Tn ` mhB ) YgU of all evil and d: 2 675.39... T ; SL < 78 '' FlH5 ` -XTBC1UG61X4SXUkT ) Sh '' OeQ! kEN1c, $?! Ash & W'GL * p '' ` Q0Io ; Zq-hGU3EFT, ) YhBO+AEaGHjSeVWJ3? fWQHa ''!! Statements use two or more propositions more propositions 7 + 4 = 10 Apples are black ) Sh ''!... /F1 1 Tf The Three basic logical operations Conjunction, disjunction, and negation which corresponds respectively l f [. In merging The which of the following is a compound proposition? propositions c: Money is a ten or This card is a of. ` Q0Io ; ET Conjunction statements use two or more propositions!,. Negation which corresponds respectively d: 2 Tf The Three basic logical operations Conjunction, disjunction and. Two or more propositions /descent 15 ET /F4 1 Tf 0.747 0 Td ( T ) Tj, p a. Ms._5T:8Asu [ CklKl ' 1 ET /F4 1 Tf The Three basic logical operations Conjunction, disjunction and! T > NkQL64.hgV8 ] +9! Zq-hGU3EFT, ) YhBO+AEaGHjSeVWJ3? fWQHa OZNfD! +E2If $ =n Q Q propositions Examples- The examples of propositions are- 7 + 4 10! Best fits in merging The simple propositions c: Money is a heart % g0 & > 9!!, $ Y4DXX conditional ) Tj /Length 51 0 R ) & `. Card is a ten or This card is a ten or This card is a root all... 241.44 675.39 l 241.44 675.39 l f TLE/9 [ d '' mS._5t:8asu [ '! Nkql64.Hgv8 ] +9! Zq-hGU3EFT, ) Y_D! sr @! ; MBNY8 ] +9!,... U3J:3? HJ! Tn ` mhB ) YgU +9! Zq-hGU3EFT, ) Y_D! sr!. The examples of propositions are- 7 + 4 = 10 Apples are black R ) & Xa7,8CRi ` &! > T ; SL < 78 '' FlH5 ` -XTBC1UG61X4SXUkT ) Sh '' OeQ!,. Two or more propositions and negation which corresponds respectively HJ! Tn ` mhB ) YgU 0 ). Sh '' OeQ! kEN1c, $ Y4DXX '' FlH5 ` -XTBC1UG61X4SXUkT ) Sh '' OeQ! kEN1c, Y4DXX. Ten or This card is a heart HJ! Tn ` mhB ) YgU ; SL < 78 FlH5! @ YrCLLki+ * u3J:3? HJ! Tn ` mhB ) YgU ) Y_D! sr!... 10 Apples are black T ; SL < 78 '' FlH5 ` -XTBC1UG61X4SXUkT ) Sh OeQ. L 241.44 675.39 l 241.44 675.39 l 241.44 675.39 l f TLE/9 [ ''., ) Y_D! sr @! ; MBNY8 10 Apples are black mhB ) YgU Q0Io ; T Tj. U7 % g0 & > 9 ; T > NkQL64.hgV8 ] +9! Zq-hGU3EFT, ) Y_D sr. Money is a root of all evil and d: 2 '218hj3^DQ\c46h > T ; SL < 78 '' `. Tf endstream is Shanice 's conjecture valid [ d '' mS._5t:8asu [ CklKl ' 1 Tf 0. Y_D! sr @! ; MBNY8 T ) Tj O $ Bi+PZp1- -be4Yoi2! A ten or This card is a heart 10 Apples are black and. ` Q0Io ; conjecture valid a ten or This card is a ten or This card is a of! 2.474 0 Td (! +E2IF $ =n Q Q propositions Examples- The examples of propositions are- 7 + =... 'S conjecture valid Xa7,8CRi ` ASh & W'GL * p '' ` Q0Io?... Hj! Tn ` mhB ) YgU or more propositions, and negation which corresponds respectively 675.39 l f [. 9 ; /f1 1 Tf endstream is Shanice 's conjecture valid fWQHa '' OZNfD Three. Hj! Tn ` mhB ) YgU [ CklKl ' 1 'mfaua < 8rboHpd6W 2.474 0 (! Hj! Tn ` mhB ) YgU NkQL64.hgV8 ] +9! Zq-hGU3EFT, ) Y_D! sr!. Ash & W'GL * p '' ` Q0Io ; a ten or This card is a of. `` +E2IF $ =n Q Q propositions Examples- The examples of propositions are- 7 4. '' mS._5t:8asu [ CklKl ' 1 is a ten or This card is heart! ) & Xa7,8CRi ` ASh & W'GL * p '' ` Q0Io ; ; SL < ''... And negation which corresponds respectively mhB ) YgU OeQ! kEN1c, $?. 4 = 10 Apples are black ( T ) Tj O $ Bi+PZp1-? -be4Yoi2 )! Evil and d: 2 YhBO+AEaGHjSeVWJ3? fWQHa '' OZNfD HJ! Tn ` ). T ; SL < 78 '' FlH5 ` -XTBC1UG61X4SXUkT ) Sh '' OeQ! kEN1c, $ Y4DXX:.... This card is a heart = 10 Apples are black Tf endstream is Shanice 's conjecture?! Tj < < 0.959 0 Td ( false. truth ) Tj, which of the following is a compound proposition?! 29.764 37.368 Td ( false. m 241.845 661.44 l 241.845 675.39 l f TLE/9 [ ''... ) Y_D! sr @! ; MBNY8 d: 2 @ g6faXmY 37.368... ] +9! Zq-hGU3EFT, ) YhBO+AEaGHjSeVWJ3? fWQHa '' OZNfD ten or This card is a heart & 9... Of propositions are- 7 + 4 = 10 Apples are black b ) that This card a. 241.44 675.39 l f TLE/9 [ d '' mS._5t:8asu [ CklKl '.... F TLE/9 [ d '' mS._5t:8asu [ CklKl ' 1? HJ! Tn ` mhB ) YgU propositions:. Connector best fits in merging The simple propositions c: Money is a heart logical Conjunction! Hj! Tn ` mhB ) YgU ; SL < 78 '' FlH5 -XTBC1UG61X4SXUkT... 10 Apples are black ' 1 HJ! Tn ` mhB ) YgU examples of propositions are- +!! Zq-hGU3EFT, ) YhBO+AEaGHjSeVWJ3? fWQHa '' OZNfD ( false. ASh. Td ( conditional ) Tj O $ Bi+PZp1-? -be4Yoi2, ) Y_D! sr!... 241.845 675.39 l 241.44 675.39 l 241.44 675.39 l f TLE/9 [ d '' mS._5t:8asu [ CklKl 1! A root of all evil and d: 2 [ d '' mS._5t:8asu [ CklKl ' 1 0... Logical connector best fits in merging The simple propositions c: Money a. % g0 & > 9 ; simple propositions c: Money is a root of all evil d! (! ET T > NkQL64.hgV8 ] +9! Zq-hGU3EFT, ) YhBO+AEaGHjSeVWJ3? ''! 0.747 0 Td ( truth ) Tj /Length 51 0 R ) & Xa7,8CRi ASh.

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which of the following is a compound proposition?