Hume’s Principle

Neo-Logicism in the Philosophy of Mathematics

Neo-logicism revives the logicist project of grounding mathematics in logic. It addresses criticisms of traditional logicism with new insights and…

4 days ago

Neo-Fregeanism: A Modern Approach to Logicism

Neo-Fregeanism revives Frege's logicist project, aiming to base mathematics on logic. It utilizes Hume's Principle and other axioms to ground…

4 days ago

Hume’s Principle

Hume's principle states that two collections have the same number of objects if and only if a one-to-one correspondence can…

4 days ago

Frege’s Theorem

Frege's theorem establishes that arithmetic is reducible to logic. It demonstrates how basic arithmetic principles can be derived from logical…

4 days ago

Abstraction Principle

An abstraction principle is a formula stating that two abstract objects are identical if and only if the objects they…

4 days ago