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Logic & Critical Reasoning

Arguments, fallacies, propositional logic, deduction, scientific reasoning — 9 lessons + exercises

Learning Plan

9-lesson curriculum overview with engineering connections

01 — Arguments, Premises & Conclusions

Separate claims, evidence, and conclusions so you can audit reasoning clearly.

02 — Language, Meaning & Definition

Tighten definitions, remove ambiguity, and spot category mistakes early.

03 — Informal Fallacies

Recognize common persuasion errors before they distort technical decisions.

04 — Categorical Logic

Work with classes, sets, and syllogisms using formal validity rules.

05 — Propositional Logic

Translate arguments into symbols and test truth-functional structure.

06 — Natural Deduction in Propositional Logic

Build step-by-step proofs with introduction and elimination rules.

07 — Predicate Logic

Model quantified statements about objects, properties, and relations.

08 — Inductive Reasoning

Judge probabilistic arguments, analogies, and explanatory strength.

09 — Statistical & Scientific Reasoning

Connect hypothesis testing, evidence quality, and scientific inference.

Exercise 01 — Arguments, Premises & Conclusions

Practice decomposing real arguments into premises, conclusions, and assumptions.

Exercise 02 — Language, Meaning & Definition

Refine vague terms and test whether definitions are precise and useful.

Exercise 03 — Informal Fallacies

Identify fallacies inside everyday claims and technical debates.

Exercise 04 — Categorical Logic

Test syllogisms and class relationships with formal categorical tools.

Exercise 05 — Propositional Logic

Translate and evaluate symbolic arguments using truth tables and rules.

Exercise 06 — Natural Deduction

Write formal proofs and justify each inference step correctly.

Exercise 07 — Predicate Logic

Work with quantifiers and predicates in structured proof exercises.

Exercise 08 — Inductive Reasoning

Compare stronger and weaker inductive arguments using real scenarios.

Exercise 09 — Statistical & Scientific Reasoning

Interpret evidence quality, uncertainty, and scientific claims with rigor.