Introduction to Mathematical Proof - University of Scranton

Introduction to Mathematical ProofMath 299 lecture NotesKen Monks - Spring 2021c 2021 - Ken MonksIntroduction toMathematicalProofDr. Monks- University ofScrantonContents0 Introduction31 What is a Proof ? Formal Proof Systems.. Environments and Statements..62 The Language of Identifiers, Variables, and Constants.. Expressions and Statements.. Substitution and Lambda Expressions..103 Rules of Inference in Template Notation for Rules of Inference..114 Propositional The Statements of Propositional Logic.. The Rules of Propositional Logic.. Formal Proof Style..165 Predicate Quantifiers.. Statements.. Declarations.. Rules of Inference.. Equality..216 Proof Shortcuts and Semiformal Use Theorems as Rules of Inference.

Introduction to Mathematical Proof Lecture Notes that checking to see if a proof is correct is much easier for a computer to do than finding a proof in the first place.) There is much discussion in mathematics today about the value of computer verified proofs and their counterparts - rigorous, detailed, formal proofs.

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