A binary function is a fundamental concept in mathematics and logic, taking exactly two inputs to produce a single output.…
A biconditional statement in logic connects two propositions, asserting that they are true if and only if they have the…
The basis step, or base case, is the foundational element of a proof by mathematical induction. It establishes the truth…
Frege's Basic Law V aimed to ground arithmetic in logic. It states that the extension of a concept is defined…
The Barcan formula in modal logic states that if something exists, then it necessarily exists. It explores the relationship between…
The bad company objection challenges mathematical abstractionism by highlighting the difficulty in separating valid from invalid abstractions, especially concerning Frege's…
An axiom is a fundamental statement accepted as true without proof. It serves as the bedrock for logical reasoning and…
An automorphism is an isomorphism from a mathematical object to itself, preserving its structure. It represents internal symmetries within logical…
Explore the fascinating concept of autological terms, where a word's meaning reflects its own properties. Discover examples like 'short' and…
An atomic sentence is a fundamental statement in logic and linguistics, devoid of logical connectives or quantifiers. It expresses a…