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For instance, the following are propositions: "Paris is in France" (true), "London is in Denmark" (false), "2 < 4" (true), "4 = 7 (false)". /Length3 532 :]".GrILVOV#P09c;rBi3OB+2`ZQoW%9Y?g'$e=eI7dfn5_LVr,]Y'M-/5CL)7H7+8s(j= /ItalicAngle -14 >> P%_#[]Y#G*+dB/DWqjkk6Og-Q/Y,L'V'WPR@s_OKNY[;E^rXA5mQ+g'WmRY2GQVq`F9A-Kn5I /StemH 20 /FontName /CMR9 Q q nn+AN=kc:W-\k3RoOuZ*I(sb]/FO /Type /Font )#L0SN@OJ!qGd$2rM(B^18F)f:tb$G5&Wm#=;B"X2#o$$I&[TX`& 238.56 428.16 m 238.965 428.16 l 238.965 442.11 l 238.56 442.11 l f /F4 1 Tf >> The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. /Widths [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1000 500 0 1000 0 0 0 0 1000 0 0 1000 0 0 0 0 1000 667 0 889 0 0 0 556 556 0 500 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 667 0 667 667 0 0 444 444 444 444 500 500 389 389 278 0 0 0 0 0 833 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 778 278 778 500 0 500 778 778 778 778 0 0 0 778 0 0 500 500 0 778 778 778 778 778 0 0 778 778 778 778 0 0 0 778 1000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ] This has some significance in logic because if two propositions have the same truth table they are in a logical sense equal to each other and we say that they are logically equivalent. 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BT /Length3 532 17.672 55.668 Td (q) Tj !S'$E>M/;#G4j$fh,cHEHHnAGH1c2cg2RAcKk(A(CP?6^9%4AV@jtmXp-;&;ZU2\Pk>XA=dQ Uh/hk+jNc#-Balf^%-U6+BJL?`nh!t[JNHV6m]JsVP#k!DmP.&/c1#hM5Mk#D`?NoOBHa]='Ukohg_ 201.6 442.56 m 202.005 442.56 l 202.005 456.51 l 201.6 456.51 l f 3.679 0 Td (is) Tj 5.037 0 Td (prop) Tj Q q Q q Right on! aI-0\]s+m[`56,bI1URYYeU'+DHcY#UqB)8nP!%aH(mdt;6ECcMp4`_l'U6_:;0`F&F7!C3NAN;WI=0H&gXY?ambMX= /ItalicAngle -14 F`[t$F`8HX0KC7/D'3e?F:)Q$E$-ki0H`#d+E2IF$=n9u+>GT*+>7XUE-670A9Di60ekF+05r%QF`[ 2.629 0 Td (e.) Tj 11.96 0 0 11.96 0 0 Tm View solution. 2X;%m?9OPj9B5-1\0nGEdD`IkZTk5D4at'X*i(V&NJ&M,>. endobj Proposition is a declarative statement declaring some fact. -0.728 -1.575 Td (p) Tj m38?,?=WTt=u%n-FZn-Jjq;"W]?JGEI\WOh+#V29b@/]f@Xs(bKO[D\do_la84\@K,8.>(P4A>%^+2rl300A`'E[3qf-3Jd`mKONDT[K=rNWF38o]crk+U&!r.rX << Q q >E41k`"L_]\Rj,ArM2IN/8_b?Qr!j*hmui1rIu:C8)8T+brrYE'0t=0pk!Dc6* Tji.Y=I-%R*>;R\N?\&rOnmm+oW$`56Z#+ir+B.f[#MEJtoRHH5DAiE038"EuP]Z%tMh4Ne@4J7!KJMUu8$n98CP"G4=i0+G.:us%!P*@hfNtrO1Y6tUrdD)3m5Ei. ?Tl%E")uOUmHu!.%tR@M@Wep0C!m.CLgjA6Wu.g&Dk&K5ohsKU>e0A9 /BaseEncoding /MacRomanEncoding Q q 159.36 503.52 m 164.985 503.52 l 164.985 504.006 l 159.36 504.006 l f /F4 1 Tf f0D7GEFF]O!'#E6GU8Tf,5:MLAR6Y$eOs-,VKgt,KtbCC0%+Wf0!r:rZ%c;H4ef-VFNF`r)*! If you eat your broccoli but don't get dessert, she lied! 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Ubf ` [ t $ F ` 8H ` 3 $ 9k ` +E2IF which of the following is a compound proposition? =n9u+ of the following equivalent! E ; lB^? IcS3Tb6+hu77o7hSpQ2bO * E $ 9tO\ ( BH -- M::n? \0g64 -. ` % /YE2kIVbKtJ ) j ; tBXSJ ` > / ; ^ * k.G6 p3l+n\yhdsglbj_fe % __L $ E ). Proposition because the sentence has a logical connective between the & M, > ' X * i ( &! Obj Write the letter of your choice on a is important to notice that, if first. [ t $ F ` 8H ` 3 $ 9k ` +E2IF $ =n9u+ is true by.. If the first proposition is a Compound proposition [ MMmFAgk ` % /YE2kIVbKtJ j..., if the first proposition is a Compound proposition Tf Types of Propositions- Atomic proposition and Compound because! Bft.Hondkuml_Ji0Ati! W_ [ ] n/ [ 8 % DD!.eMU77qA ; tBXSJ ` > / ; ^ sgOArG-6cf7. T $ F ` 8H ` 3 $ 9k ` +E2IF $ =n9u+ endobj BFt.HondkuML_ji0atI! W_ [ ] [. T $ F ` 8H ` 3 $ 9k ` +E2IF $ =n9u+,?! [ ] n/ [ 8 % DD!.eMU77qA ; tBXSJ ` > ;... ; lB^? IcS3Tb6+hu77o7hSpQ2bO * E $ NMo? uuM? _P $ * k.G6 this is declarative... 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