Predicate Logic Exercises: Tautologies and Quantifiers
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Express each of these statements using logical operators, predicates, and
quantifiers.
a)
Some
propositions
are
tautologies.
b)
The negation of a contradiction is a tautology.
c)
The disjunction of two contingencies can be a tautology.
d)
The conjunction of two tautologies is a tautology.
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Explore exercises on logical operators, predicates, and quantifiers involving tautologies and logical statements. Understand the concepts through examples and solutions from discrete mathematics.
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Presentation Transcript
Discrete Math: Predicates and Quantifiers Exercise 15
Exercise Express each of these statements using logical operators, predicates, and quantifiers. a) Some propositions are tautologies. b) The negation of a contradiction is a tautology. c) The disjunction of two contingencies can be a tautology. d) The conjunction of two tautologies is a tautology.
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Le in A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
