philosophy of mathematics

Finitary Arithmetic

Finitary arithmetic is a mathematical approach that emphasizes constructive methods, avoiding infinite concepts. It focuses on operations and proofs that…

4 days ago

Frege’s Basic Law V and the Foundations of Arithmetic

Frege's Basic Law V aimed to ground arithmetic in logic. It states that the extension of a concept is defined…

4 days ago

Bad Company Objection

The bad company objection challenges mathematical abstractionism by highlighting the difficulty in separating valid from invalid abstractions, especially concerning Frege's…

4 days ago