Subtraction
Subtraction is a fundamental arithmetic operation. It involves finding the difference between…
Cardinal Numeral
Cardinal numerals represent quantity, answering 'how many?'. They are fundamental to counting,…
The Successor Function in Arithmetic and Logic
The successor function, denoted S(n) = n + 1, is a foundational…
Non-Standard Models in Logic and Mathematics
A non-standard model adheres to a theory's axioms but possesses unintended properties.…
Neo-Fregeanism: A Modern Approach to Logicism
Neo-Fregeanism revives Frege's logicist project, aiming to base mathematics on logic. It…
Gödel’s First Incompleteness Theorem
Gödel's First Incompleteness Theorem states that any consistent formal system capable of…
Frege’s Theorem
Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how…