Logical Reasoning Course

Lesson 1 • Recognizing Arguments in Context

Trains students to identify arguments embedded in everyday language. Connects abstract definitions to practical reading and listening skills.

Lesson 2 • Core Vocabulary of Logical Reasoning

Introduces essential terms: premises, conclusions, arguments, and inference. Precise vocabulary enables accurate analysis throughout the course.

Lesson 3 • Truth, Validity, and Soundness

Distinguishes truth of statements from validity of argument structure. Students evaluate arguments on two independent dimensions simultaneously.

Lesson 1 • Propositional Logic Basics

Covers logical connectives and compound propositions. Students translate natural language into symbolic form for precise evaluation.

Lesson 2 • Structure of Deductive Arguments

Explains how deductive arguments guarantee conclusions when premises are true. Introduces standard argument forms as templates for analysis.

Lesson 3 • Rules of Inference

Presents core inference rules used to derive conclusions step by step. Applying these rules builds the habit of structured, traceable reasoning.

Lesson 4 • Testing Deductive Validity

Provides methods to verify whether an argument is deductively valid. Students use truth tables and counterexample techniques to confirm or refute validity.

Lesson 1 • Analogical Reasoning

Teaches how analogies support conclusions by comparing similar cases. Students evaluate analogy quality using structured criteria.

Lesson 2 • Nature and Structure of Inductive Arguments

Contrasts inductive strength with deductive validity and explains why induction is irreducibly uncertain. Frames induction as the dominant mode of everyday reasoning.

Lesson 3 • Causal Reasoning

Introduces methods for identifying causal relationships from observed patterns. Students distinguish correlation from causation and apply causal criteria.

Lesson 4 • Probabilistic Thinking and Base Rates

Applies basic probability concepts to strengthen inductive conclusions. Students use base rates and conditional probability to avoid systematic misjudgments.

Lesson 1 • Fallacies of Presumption and Ambiguity

Addresses arguments that smuggle in false assumptions or exploit unclear language. Students unpack hidden premises and resolve linguistic ambiguity.

Lesson 2 • Formal Fallacies

Covers invalid argument forms that mimic valid ones in structure. Recognizing these patterns prevents acceptance of structurally broken arguments.

Lesson 3 • Fallacies of Relevance

Examines arguments that distract from the actual issue with irrelevant content. Students learn to redirect analysis to logically relevant evidence.

Lesson 4 • Fallacies of Weak Induction

Identifies arguments with insufficient or unrepresentative evidence. Students apply inductive standards from Chapter 3 to expose these errors.

Lesson 1 • Identifying Implicit Assumptions

Trains students to surface unstated premises that arguments depend on. Exposing assumptions is essential for complete and fair evaluation.

Lesson 2 • Evaluating Evidence Quality

Provides criteria for assessing the reliability and relevance of evidence. Students distinguish strong support from rhetorical padding.

Lesson 3 • Writing a Structured Argument Analysis

Guides students through producing a complete written evaluation of an argument. Integrates mapping, assumption analysis, and evidence assessment into one coherent output.

Lesson 4 • Mapping Argument Structure

Teaches diagramming techniques to visualize premise-conclusion relationships. Visual maps reveal logical dependencies that prose obscures.

Lesson 1 • Argument Revision and Quality Control

Provides a systematic review process for refining arguments before delivery. Students apply all prior evaluation criteria to their own constructed arguments.

Lesson 2 • Selecting and Organizing Premises

Covers how to choose premises that jointly entail or strongly support the conclusion. Logical ordering of premises maximizes argumentative force.

Lesson 3 • Principles of Argument Construction

Establishes the criteria a well-formed argument must satisfy before presentation. Students internalize quality standards as a checklist for their own work.

Lesson 4 • Handling Objections and Counterarguments

Trains students to anticipate, acknowledge, and rebut opposing arguments. Addressing objections strengthens credibility and closes logical gaps.

Lesson 1 • Structured Decision Analysis in Practice

Applies decision frameworks to realistic professional scenarios. Students produce documented decision analyses that justify choices with explicit reasoning.

Lesson 2 • Cognitive Biases in Decision-Making

Identifies systematic biases that distort judgment under uncertainty. Students develop debiasing habits grounded in logical reasoning principles.

Lesson 3 • Risk Assessment and Tolerance

Teaches how to evaluate risk systematically and align decisions with risk tolerance. Students distinguish acceptable from unacceptable risk using logical criteria.

Lesson 4 • Decision Frameworks and Criteria

Introduces structured decision models including expected value and minimax. Students select appropriate frameworks based on decision context.

Lesson 1 • Integrating Deductive and Inductive Methods

Shows how deductive and inductive reasoning complement each other in practice. Students select and combine methods strategically based on problem type.

Lesson 2 • Metacognition and Reasoning Awareness

Develops the habit of monitoring and evaluating one's own reasoning process. Metacognitive awareness reduces blind spots and improves reasoning quality over time.

Lesson 3 • Reasoning About Complex Systems

Extends logical tools to problems with many interacting variables and feedback loops. Students avoid reductive thinking when analyzing systemic issues.

Lesson 4 • Dialectical Reasoning and Debate

Trains students to reason through opposing positions in structured dialogue. Dialectical practice sharpens argument construction and evaluation simultaneously.