propositional logic

Prosentential Theory: Understanding Propositional Expressions

Explore the prosentential theory, which posits that certain expressions function as complete propositions, distinct from referring to objects or describing…

4 days ago

Propositional Logic

Propositional logic is a fundamental branch of logic focusing on propositions as basic units. It uses connectives like AND, OR,…

4 days ago

Propositional Letters in Logic

Propositional letters are fundamental variables in propositional logic. They act as placeholders for specific, undefined propositions, enabling the construction and…

4 days ago

Propositional Connectives: Understanding Logical Connectives

Propositional connectives, also known as logical connectives, are fundamental symbols in logic. They combine simple propositions to form complex ones,…

4 days ago

Principal Connective in Logic

The principal connective, also known as the dominant connective, is the logical operator that governs the overall structure of a…

4 days ago

Prelinearity Axiom

The prelinearity axiom, represented by the formula (P → Q) ∨ (Q → P), is a fundamental principle in logic.…

4 days ago

Philonian Conditional

The Philonian conditional, also known as the material conditional, is a key concept in propositional logic. It formalizes 'if...then...' statements,…

4 days ago

Peirce’s Law

Peirce's law, ((P → Q) → P) → P, is a fundamental principle in logic. It is valid in classical…

4 days ago

Particular Proposition

A particular proposition in traditional logic makes a claim about some, but not all, members of a class. It contrasts…

4 days ago

Paradoxes of Material Implication

These paradoxes highlight the counterintuitive nature of the material conditional in logic. They occur when the antecedent is false or…

4 days ago