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Group Theory in Discrete Mathematics, Directed and Undirected graph in Discrete Mathematics, Bayes Formula for Conditional probability, Difference between Function and Relation in Discrete Mathematics, Recursive functions in discrete mathematics, Elementary Matrix in Discrete Mathematics, Hypergeometric Distribution in Discrete Mathematics, Peano Axioms Number System Discrete Mathematics, Problems of Monomorphism and Epimorphism in Discrete mathematics, Properties of Set in Discrete mathematics, Principal Ideal Domain in Discrete mathematics, Probable error formula for discrete mathematics, HyperGraph & its Representation in Discrete Mathematics, Hamiltonian Graph in Discrete mathematics, Relationship between number of nodes and height of binary tree, Walks, Trails, Path, Circuit and Cycle in Discrete mathematics, Proof by Contradiction in Discrete mathematics, Chromatic Polynomial in Discrete mathematics, Identity Function in Discrete mathematics, Injective Function in Discrete mathematics, Many to one function in Discrete Mathematics, Surjective Function in Discrete Mathematics, Constant Function in Discrete Mathematics, Graphing Functions in Discrete mathematics, Continuous Functions in Discrete mathematics, Complement of Graph in Discrete mathematics, Graph isomorphism in Discrete Mathematics, Handshaking Theory in Discrete mathematics, Konigsberg Bridge Problem in Discrete mathematics, What is Incidence matrix in Discrete mathematics, Incident coloring in Discrete mathematics, Biconditional Statement in Discrete Mathematics, In-degree and Out-degree in discrete mathematics, Law of Logical Equivalence in Discrete Mathematics, Inverse of a Matrix in Discrete mathematics, Irrational Number in Discrete mathematics, Difference between the Linear equations and Non-linear equations, Limitation and Propositional Logic and Predicates, Non-linear Function in Discrete mathematics, Graph Measurements in Discrete Mathematics, Language and Grammar in Discrete mathematics, Logical Connectives in Discrete mathematics, Propositional Logic in Discrete mathematics, Conditional and Bi-conditional connectivity, Problems based on Converse, inverse and Contrapositive, Nature of Propositions in Discrete mathematics, Linear Correlation in Discrete mathematics, Equivalence of Formula in Discrete mathematics, Discrete time signals in Discrete Mathematics. 266.88 199.2 m 296.976 199.2 l 296.976 199.686 l 266.88 199.686 l f /Differences [ 32 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 45 /.notdef 47 /.notdef 58 /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef 74 /.notdef /.notdef 86 /.notdef 88 /.notdef 91 /.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 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Q q Q q /F1 1 Tf E.g., Q q .1E\D.1GL",0JG;2Eb/ZiDf0B:+Co%q$85CsBlS9,=BH\'0JbFD3&)OdAS)9ZF`MM6DKKE'@rri)DI ;RgBK"Efgb[X/H;ci]nj=p4b1R](@KHto6PdVMr98Q&&IQrkEpn:0DjY#c^$cmF1q[nP#,r4R, It is the only habitable planet on the solar system. K(G'3gER/!JL^^SWC,G]%iZJgk(Qq736B_1"6?R@fldOj9cK_Rflms!2!j6_k>O>5_5Z2=lIJ>X7Mc Q q Q q In an ordinary deck of fifty-two playing cards, for how many cards is it truea) that This card is a ten and this card is a heart? 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Q q Tj Q q 28.526 14.661 Td (p) Tj "`K2\5@[VZ'6'ufdWW2iKE&bSqdD[27ECO;fS$+fVj".kW1n'OVr] >> << Z@>%d1Inp`:'!Ec?Re?7@I=$fB_A2VlP)XNi]<6"6U4V>-c.[eD/ZWhrf,1q5'>>lj%G6X7hQhquG2 /Descent 15 /F4 1 Tf /F3 1 Tf /Widths [ 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 667 333 333 333 333 333 333 333 333 333 333 778 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 611 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 778 778 778 778 333 278 667 667 778 778 333 333 333 1000 778 333 889 611 333 1000 1000 1000 833 833 333 333 417 417 1111 1111 333 333 500 500 1000 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 333 ] >> It is made up of simple propositions joined by logical connector/s. %2pF.@YrCLLki+*u3J:3?HJ!Tn`mhB)YgU! l[bX)5u)W%B>aj)+n\ZTLjR=/\o$U;=`k>T!=B&K^qn Give the converse and the contrapositive of each of the following English sentences: a) If you are good, Sinterklaas brings you toys. BT 0.979 0 Td (b) Tj 0.489 0 Td (e) Tj 20.633 55.668 Td (p) Tj ;rCjmDh":idJTsb1tppft*3LR[-mnODZD&E-dA5CCI$&22LofWKHQKSVNTgT 1D:[I._J3$.k"Y:hVS)\(O$nRT9O%M%DFhmNNR#\1o5[*diLP4j_q8&i\3rA67s^%CpPtrE=DTcGQr The truth table definition for negation shows that for any statement p, ~ p will have the opposite truth value: The of truth values for p, q (2 2 = 4), "p . /Name /F7 ]Pf[nTEhIMh4='dBX@uBNe?JSG=S68Hdi'0`rH` Q q Consider the statement "If a closed figure has four sides, then it is a square." 5.What logical connector best fits in merging the simple propositions c: Money is a root of all evil and d: 2. /FontBBox [ 8 -463 1331 1003 ] 5. 3.861 0 Td (the) Tj /F4 1 Tf >> 1.446 0 Td (John) Tj e?CZ6/@79E'K#eRL%/pjm\/G#j6'c'N8(Dstpf;t=53J#]q.`[(F/a\2$u=Qs_NpO@Y[oY5#'0;K(3 1.242 0 Td (instance) Tj :-mmj4K@&N[8D?CP#'^+:!7=K@%"7nA /F1 1 Tf << \(p\, \textit{and}\, q\) is "You eat your supper tonight and you get desert". 1k%_//(6[lc)gDdW&jM&lpn;#7UjTr_VIg)N&9n#tc647+/FU7:cXWn3Ih71eq;dYf endobj /F1 1 Tf "!1_9mluDf?6\&*,6O,E<5BM ,ju=N>Ie65>G^\s.mZ$-C?tp:A)[WCa;UP-*TshsD'#r]8Sur3#p@filn,&.FYa7E5mO7;`YSt6*Y)=H@YZbTV=k/\0+0ba"WmCQ6>Akn1!/QtLRJlX;"c?7M=Pcd5 jWG&`cdp*85gu;daX/Vk*MS5tW*2;#0@)SR4-aWGN?kXCk/L4OC,Cqf2$(J,!/mF*YIhWbA:0GXg7K Match the fully parenthesized expression on the left to that on the right. >\2Nmuk>99']3TP[H-ZF9;0D-9CHu!W>lE&a;Ps>]OdHC36X&XCB*aY0.b;1Q<2/BK;1C;f9BK.%(u Zc__DisplayClass228_0.b__1]()", "1.1.02:_Logical_operators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.03:_Precedence_rules" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.04:_Logical_equivalence" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.05:_More_logical_operaters" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.06:_Implications_in_English" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.07:_More_forms_of_implication" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.08:_Exclusive_or" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.09:_Universal_operators" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.1.10:_Classifying_propositions" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, { "1.01:_Propositional_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.02:_Boolean_Algebra" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.03:_Logic_Circuits" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.04:_Predicate_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.05:_Deduction" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()", "1.06:_Logic" : "property get [Map MindTouch.Deki.Logic.ExtensionProcessorQueryProvider+<>c__DisplayClass228_0.b__1]()" }, https://eng.libretexts.org/@app/auth/3/login?returnto=https%3A%2F%2Feng.libretexts.org%2FBookshelves%2FComputer_Science%2FProgramming_and_Computation_Fundamentals%2FBook%253A_Delftse_Foundations_of_Computation%2F01%253A_Logic%2F1.01%253A_Propositional_Logic%2F1.1.10%253A_Classifying_propositions, \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}}}\) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\), status page at https://status.libretexts.org.
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