modus ponens

Derivation

Derivation is the process of establishing a result from a set of premises or axioms using logical rules. It's fundamental…

2 days ago

Deductive Mood

Deductive mood refers to the mental state or disposition that favors or engages in deductive reasoning. It involves a focus…

2 days ago

Syntactic Consequence in Formal Systems

Syntactic consequence defines the relationship between premises and conclusions derived through logical rules and axioms within a formal system. It…

4 days ago

Rule of Inference

A rule of inference is a logical structure that allows deriving a conclusion from a set of premises. It's fundamental…

4 days ago

Pseudo Modus Ponens

Pseudo modus ponens is an axiom representing assertion, stating that if A is true and A implies B, then B…

4 days ago

Modus Ponens

Modus Ponens is a fundamental rule of inference in logic. It states that if a conditional statement ('if P then…

4 days ago

Logic of Conditionals

The logic of conditionals explores the structure and validity of 'if-then' statements. It's fundamental to reasoning, argumentation, and formal systems,…

4 days ago

Inference Rule

An inference rule is a logical structure that permits deriving conclusions from premises. It specifies the valid steps in reasoning,…

4 days ago

Hypothetical Syllogism

A hypothetical syllogism is a logical argument with two conditional statements and a conclusion. It establishes a relationship between the…

4 days ago

Elimination Rule in Logical Inference

An elimination rule in logic simplifies formulas by removing connectives or quantifiers. It's crucial for deriving conclusions from premises, forming…

4 days ago