induction

Logic

Logic is the systematic study of valid reasoning and correct inference. It provides the tools and principles to distinguish between…

3 days ago

The Successor Function in Arithmetic and Logic

The successor function, denoted S(n) = n + 1, is a foundational concept in arithmetic and logic, defining the next…

4 days ago

Sorites Series: Navigating Vagueness and Paradox

A sorites series presents a sequence of propositions used to illustrate the sorites paradox. It challenges our understanding of vague…

4 days ago

Proof

A logical or mathematical argument that demonstrates the truth of a statement or theorem. Proofs rely on axioms, definitions, and…

4 days ago

Peano Arithmetic

A formal system of arithmetic using axioms by Giuseppe Peano, it provides a foundational basis for the theory of natural…

4 days ago

Logic: The Science of Valid Reasoning

Logic is the systematic study of valid inference. It explores the structures that ensure conclusions necessarily follow from given premises,…

4 days ago