LCA Textbook for Seattle Central - The Logic Course Adventure

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LCA Textbook for Seattle Central

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1. Let the Adventure Begin 6 Sections

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1.1 Welcome to the Newsroom

1.2 Active Learning

1.3 Logic and Form

1.4 Entailment = Validity

1.5 Deductive vs. Inductive Logic

1.6 Extra Practice

2. Weird Cases of Validity 7 Sections

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2.1 First Weird Case of Validity

2.2 Second Weird Case of Validity

2.3 Third Weird Case of Validity

2.4 Necessary vs. Contingent

2.5 Augmentation

2.6 Learning About Learning

2.7 Extra Practice

3. Argument Heroics 6 Sections

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3.1 Identifying Arguments

3.2 Sentences

3.3 Soundness and Premise Truth

3.4 Bivalence

3.5 Reading with Purpose

3.6 Extra Practice

4. Meet the Boolean Connectives 5 Sections

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4.1 And here is conjunction: &

4.2 Or is it disjunction: v

4.3 Not to neglect negation: ~

4.4 Lost in Translation

4.5 Extra Practice

5. Features of Connectives 4 Sections

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5.1 Scope

5.2 Arity

5.3 Advanced Boolean Translations

5.4 Extra Practice

6. Semantics for BOOL: Truth Tables 4 Sections

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6.1 Truth Tables for &, v and ~

6.2 Computing Truth Functions

6.3 Semantics, Syntax, and Pragmatics

6.4 Extra Practice

7. Using BOOL to Study Reasoning 4 Sections

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7.1 Tautologies and Taut-Falsities

7.2 Equivalence (DeM and DN)

7.3 Validity

7.4 Extra Practice

8. BOOLean Algebra 5 Sections

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8.1 Negation Normal Form (NNF)

8.2 Chain of Equivalences

8.3 Distribution Laws (Dist)

8.4 Three More Laws

8.5 Extra Practice

9. Logic Gates with BOOL 6 Sections

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9.1 Binary Numbers

9.2 Numerical Truth Tables

9.3 Electricity

9.4 BOOLian Logic Gates

9.5 Building a Computer

9.6 Extra Practice

10. Proofs: Informal 4 Sections

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11. Proofs: Formal 6 Sections

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12. Proof by Cases 4 Sections

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12.1 Proof by Cases

12.2 vElim

12.3 Knights and Knaves

12.4 Extra Practice

13. Reductio 5 Sections

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13.1 Reductio ad absurdum

13.2 Contradiction Principle

13.3 #Intro and #Elim

13.4 ~Intro

13.5 Extra Practice

14. Formal Proof Bootcamp 7 Sections

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14.1 Know the Basics

14.2 Master Plan: The Main Connective

14.3 Premises ≠ Conclusions

14.4 Know Your Premises

14.5 Know Your Conclusions

14.6 When All Else Fails: Reductio!

14.7 Extra Practice

15. I ♥ Formal Proofs, BOOL 6 Sections

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15.1 The 5-Step Plan: ~(PvQ)

15.2 The Indirect Approach: ~(P&Q)

15.3 Advanced Proof by Cases

15.4 Advanced Reductio

15.5 How to Find Shortcuts

15.6 Extra Practice

16. Review for Ch. 1-15 2 Sections

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16.1 Terminology Review

16.2 Review Problems

17. PROP and Conditionals 5 Sections

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17.1 The Conditional: →

17.2 The Biconditional: ↔

17.3 Difficult Translations

17.4 Truth Tables for Conditionals

17.5 Extra Practice

18. Proofs with Conditionals 5 Sections

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18.1 Modus Ponens (MP)

18.2 →Elim and ↔Elim

18.3 Conditional Proof

18.4 →Intro and ↔Intro

18.5 Extra Practice

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