overview

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…

2 weeks ago

Frege’s Basic Law V and the Foundations of Arithmetic

Frege's Basic Law V aimed to ground arithmetic in logic. It states that the extension of a concept is defined…

2 weeks ago

Barcan Formula

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

2 weeks ago

Barbara Syllogism

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

2 weeks 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…

2 weeks ago

Automaton: Understanding Self-Operating Machines and Computational Models

An automaton is a self-operating machine or a theoretical computational model. It follows predefined rules to perform tasks, forming the…

2 weeks ago

Atomic Sentence

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

2 weeks 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…

2 weeks ago

Arity: Understanding Function and Predicate Argument Count

Arity defines the number of arguments or operands a function, operation, or relation accepts. In logic, it specifies the number…

2 weeks ago

Aristotle’s Theses in Propositional Logic

Aristotle's theses, specifically ¬(¬A → A) and ¬(A → ¬A), are key formulas in propositional logic. They are theorems in…

2 weeks ago