Tag: mathematical

Strong Mathematical Induction

Strong induction strengthens the inductive hypothesis, allowing the assumption that the proposition…

Steven Haynes

Skolem-Lowenheim Theorem

A fundamental theorem in first-order logic. It asserts that if a theory…

Steven Haynes

Sequent Calculus: A Formal System for Logical Deduction

Sequent calculus is a formal system for logical entailments, representing deductions as…

Steven Haynes

Sequent Calculus: A Formal System for Logical Deduction

Sequent calculus is a formal system representing logical deductions. It uses sequences…

Steven Haynes

Sequence: Definition and Mathematical Concepts

A sequence is an ordered list of objects, identified by position. It's…

Steven Haynes

Semi-Decidable Theory

A semi-decidable theory allows for an algorithm to list all its theorems.…

Steven Haynes

Robinson Arithmetic

Robinson arithmetic is a simplified version of Peano arithmetic, omitting the induction…

Steven Haynes

Reverse Mathematics

Reverse mathematics investigates the logical strength of mathematical theorems. It aims to…

Steven Haynes

Relative Consistency Proof

A relative consistency proof demonstrates that if a system S is consistent,…

Steven Haynes

Recursive Function Theory

Recursive function theory explores the properties of recursive functions, focusing on their…

Steven Haynes