Logic and Critical Thinking

Topics

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Section 1: Core Concepts

1: What is Logic?

2: Arguments vs. Explanations

3: Deductive vs. Inductive Reasoning

4: Truth and Validity

Section 2: Formal Logic Basics

1: Propositional Logic Symbols

2: Truth Tables

3: Logical Operators (AND/OR/NOT)

4: Rules of Inference

Section 3: Argument Analysis

1: Identifying Premises & Conclusions

2: Mapping Argument Structure

3: Hidden Assumptions

4: Argument Reconstruction

Section 4: Fallacy Recognition

1: Formal Fallacies (Affirming Consequent)

2: Informal Fallacies (Ad Hominem, Straw Man)

3: Cognitive Biases

4: Statistical Misinterpretations

Section 5: Scientific Reasoning

1: Hypothesis Testing

2: Causal Reasoning

3: Inference to Best Explanation

4: Falsifiability Principles

Section 6: Applied Critical Thinking

1: Media Literacy

2: Evaluating Sources

3: Detecting Propaganda

4: Algorithmic Bias Awareness

Section 7: Advanced Logic Systems

1: Predicate Logic

2: Modal Logic (Possibility/Necessity)

3: Bayesian Reasoning

4: Paradox Resolutions

Section 8: Decision Frameworks

1: Cost-Benefit Analysis

2: Probabilistic Thinking

3: Heuristics Evaluation

4: Ethical Dilemma Analysis

Section 9: Practice & Integration

1: Logic Puzzle Solving

2: Debate Strategy

3: Writing Analysis

4: Case Study Deconstruction

Section 10: Specialized Applications

1: Legal Argumentation

2: AI Logic Systems

3: Game Theory Basics

4: Philosophical Thought Experiments *Note: This path progresses from foundational concepts (Sections 1-3) through practical analysis (Sections 4-6) to advanced systems (Section 7) and real-world application (Sections 8-10). Each section builds on prior knowledge, with increasing complexity in reasoning demands.*