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SCIENCE & ENGG. UNIT - I The Foundations: Logic and Proofs: Propositional Logic, Applications of Propositional Logic, Propositional Equivalence, Predicates and Quantifiers, Nested Quantifiers, Rules of Inference, Introduction to Proofs, Proof Methods and Strategy. (Page Nos. 1 to 114) The Foundations: Logic and Proofs PROPOSITIONAL LOGIC: A proposition is a declarative sentence (that is, a sentence that declares a fact) that is either true or false. EXAMPLE 1 All the following declarative sentences are propositions. 1. Washington is the capital of the United States of America. 2. Toronto is the capital of Canada. 3. 1 + 1 = 2. 4. 2 + 2 = 3. Propositions