Propositional Logic

~60 min · 15 stations

Propositional Logic is a self-paced learning path in Mathematics & Logic, free to read, written at General Public / 9th Grade reading level. Across 15 structured stations, you will work through the core ideas step by step, each with a short quiz to check your understanding. By the end you will be able to identify simple declarative statements within complex sentences; evaluate statements for binary truth conditions; recognize fundamental logical operators in language.

Conductor

The Conductor

This track carries the principles of clear reasoning. Keep your thoughts aligned and your logic sharp as we travel through the stations of truth.

What you will learn

Complete each station to unlock the next.

FOUNDATION

Establishes the core vocabulary and essential context you need before going further.

Identify simple declarative statements within complex sentences

Station 01: Defining Basic Logical Statements

Evaluate statements for binary truth conditions

Station 02: Truth Values in Logic

Recognize fundamental logical operators in language

Station 03: Introduction to Connectives

CORE CONCEPTS

Unpacks the ideas and principles that the subject is built on.

Apply negation operators to logical propositions

Station 04: The Power of Negation

Analyze combined logical statements using operators

Station 05: Conjunctions and Disjunctions

Interpret if-then logical structures

Station 06: Conditional Statements

Evaluate equivalence between two propositions

Station 07: Biconditional Logic

MECHANICS

Examines how things actually work — the processes, rules, and systems in action.

Construct complete truth tables for expressions

Station 08: Building Truth Tables

Classify logical expressions by truth behavior

Station 09: Tautologies and Contradictions

Simplify complex logical expressions using rules

Station 10: Logical Equivalence Laws

APPLICATION

Puts knowledge to use through real-world scenarios and practical problems.

Translate everyday sentences into logical notation

Station 11: Formalizing Natural Language

Determine if arguments follow logical rules

Station 12: Argument Validity Testing

Relate propositional logic to digital circuits

Station 13: Logic in Computing

SYNTHESIS

Connects everything together and explores broader implications and open questions.

Create a consistent logical rule set

Station 14: Reasoning System Design

Apply logic to modern decision making

Station 15: Advanced Logical Applications

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General Public / 9th GradeAI Generated · gemini-3.1-flash-lite
Propositional Logic — Learn Mathematics & Logic