A provability predicate, often denoted as 'Bew', is a fundamental concept in formal logic. It allows us to express within…
A propositional function is an expression with variables that becomes a true or false proposition when those variables are assigned…
Proof theory is a branch of mathematical logic focused on the structure and properties of mathematical proofs. It formalizes reasoning,…
A logical or mathematical argument that demonstrates the truth of a statement or theorem. Proofs rely on axioms, definitions, and…
Prefix notation, also known as Polish notation, places operators before their operands. This structure eliminates the need for parentheses, ensuring…
Platonism asserts that abstract mathematical objects, like numbers and sets, possess an objective existence independent of our minds. This view…
An ordered pair is a fundamental mathematical structure containing two elements in a specific sequence, denoted as (a, b). Order…
Ordered logic is a type of formal logic that prohibits weakening and permutation rules. This ensures that inferences made within…
An n-ary relation connects 'n' elements, generalizing binary relations. It's fundamental in mathematics and computer science for describing complex relationships…