A first-order theory formalizes mathematical reasoning using first-order logic. It defines relationships between individuals, properties, and relations, forming the foundation…
First-order logic (FOL) is a formal system using quantifiers like 'for all' and 'there exists' to reason about individuals. It's…
FDE is a logical system that allows propositions to be both true and false, or neither, rejecting the law of…
Finitism is a philosophical stance that denies the existence of infinite entities and processes. It asserts that only quantities and…
A theory is finitely axiomatizable if it can be completely defined by a finite collection of fundamental statements or axioms.…
Finite model theory explores structures with finite domains. It investigates properties and expressiveness of logical languages within these finite settings,…
Finite character describes systems where all essential properties can be understood by analyzing a limited, finite portion. This concept is…
A finitary formal system uses only finite operations, proofs, and expressions. It relies on objects constructible in a finite number…
Finitary arithmetic is a mathematical approach that emphasizes constructive methods, avoiding infinite concepts. It focuses on operations and proofs that…
Finitary methods involve processes or operations that conclude after a limited number of steps or elements. This concept is fundamental…