Lecture Notes

UNIT ONE: INTRODUCTION

Week 1

Arguments, Validity, and Soundness

The Counter-Example Method

Week 2

Intro to Logical Operators

Intro to Truth Tables

Week 3

Truth Tables for Compound Statements

Truth Tables for Arguments

Translating 'Unless'

Week 4

On Choosing Connectives

UNIT TWO: PROPOSITIONAL LOGIC

Week 5

Derivation Rules, part 1

Derivations, part 1

Week 6

Derivation Rules, part 2

Derivations, part 2

Week 7

Proving Theorems and Theorem/Sequent Introduction

Week 8

On Choosing Derivation Rules

UNIT THREE: PREDICATE LOGIC

Week 9

Logical Quantifiers

Quantifier Scope vs. Binding

The Finite Universe Method

Week 10

Derivation Rules, part 1

Derivations, part 1

Week 11

Relational Predicates and Overlapping Quantifiers

Derivations, part 2

Rule Restrictions Cheat Sheet

Week 12

Predicate Logic With Identity

Sequent and Theorem Introduction

Week 13

Problems for Identity

Beyond Symbolic Logic

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