Logic

Begging the Question: Understanding Circular Reasoning

Begging the question is a logical fallacy where an argument's conclusion is already assumed in its premise, creating a circular…

4 days ago

Basis Step in Mathematical Induction

The basis step, or base case, is the foundational element of a proof by mathematical induction. It establishes the truth…

4 days ago

Barcan Formula

The Barcan formula in modal logic states that if something exists, then it necessarily exists. It explores the relationship between…

4 days ago

Barbara Syllogism

Barbara (AAA) is a standard Aristotelian syllogism with three universal affirmative propositions. It follows the structure: All M are P,…

4 days ago

Bad Company Objection

The bad company objection challenges mathematical abstractionism by highlighting the difficulty in separating valid from invalid abstractions, especially concerning Frege's…

4 days ago

Axiological Logic: Understanding Value in Logic

Axiological logic is a specialized branch of logic focused on the study of value, encompassing ethical and aesthetic judgments. It…

4 days ago

Automorphism: Understanding Mathematical Symmetries

An automorphism is an isomorphism from a mathematical object to itself, preserving its structure. It represents internal symmetries within logical…

4 days ago

Atomic Sentence

An atomic sentence is a fundamental statement in logic and linguistics, devoid of logical connectives or quantifiers. It expresses a…

4 days ago

Atomic Formula in Logic

An atomic formula is the most basic building block in formal logic. It's a predicate symbol applied to a sequence…

4 days ago

Assertion (Logic)

Assertion is a fundamental principle in logic, also known as pseudo modus ponens. It states that if A is true…

4 days ago