Applied Logic notes

5 chapter notes, in syllabus order. Each starts with the key points.

Unit 1 · 6 hrs

Argument Analysis – Structure, Validity, Soundness & Real-World ApplicationsUnit 1 of Applied Logic teaches how to dissect arguments into premises, conclusions, and implicit assumptions; distinguish between deductive/inductive reasoning; evaluate validity and soundness; and identify common argument structures like enthymemes and chains. Covers practical tools like Venn diagrams for logical rel8 min read

Unit 2 · 10 hrs

Categorical Logic: Propositions, Syllogisms & Square of OppositionUnit 2 of Applied Logic explores how to analyze statements using categorical propositions (A, E, I, O types), evaluate their validity via syllogisms, and apply the Square of Opposition to determine logical relationships between them. Covers term distribution, conversion, obversion, contraposition, and mood/figure analy13 min read

Unit 3 · 12 hrs

Symbolic Logic: Propositions, Connectives & Truth TablesUnit 3 of Applied Logic teaches how to translate natural language arguments into symbolic logic using propositional variables, logical connectives (AND, OR, NOT, IMPLIES), and truth tables to evaluate validity. Covers tautologies, contradictions, and logical equivalences with real-world applications in programming, AI,8 min read

Unit 4 · 6 hrs

Quantification Theory: Predicates, Quantifiers & Logical FormsUnit 4 of Applied Logic explores how to express statements about all or some entities using quantifiers (∀, ∃), translate natural language into formal logic, and evaluate truth values in quantified expressions—essential for database queries, AI reasoning, and algorithm correctness.9 min read

Unit 5 · 6 hrs

Fallacies: Types, Detection & Avoidance in ReasoningUnit 5 of Applied Logic explores common logical fallacies—errors in reasoning that distort arguments—covering formal, informal, and rhetorical fallacies with definitions, real-world examples, and techniques to identify and avoid them in academic, professional, and everyday contexts.11 min read

Unit 6 · 5 hrs

Analogical and Casual Reasoning · note coming