The Univalence Principle is the informal statement that equivalent mathematical structures are indistinguishable. There are various ways of making this statement formally precise, and a long history ...

ABSTRACT: A system of finitary arithmetic is introduced, and a proof for its consistency is proposed. It is shown that the proof of the consistency of finitary arithmetic, formalized in Peano ...

When it comes to hard problems, computer scientists seem to be stuck. Consider, for example, the notorious problem of finding the shortest round-trip route that passes through every city on a map ...

Metamathematics investigates the structure and limitations of mathematical theories, with proof theory focusing on the nature of formal proofs and the principles that govern them. In the context of ...

ABSTRACT: A perspective in the philosophy of mathematics is developed from a consideration of the strengths and limitations of both logicism and platonism, with an early focus on Frege’s work.

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

MetaMetaverse has released the details of its Metaseminar online event slated for November 20, 2022, at 20:00 CET. During the event, MetaMetaverse’s Joel Dietz will lecture the audience on various ...

On Ubuntu, download The_Chomsky_Index_Ubuntu.zip using this link and extract it. In the executable properties tick Allow executing file as program. In the executable properties, change the icon to ...

In 1931, the Austrian logician Kurt Gödel pulled off arguably one of the most stunning intellectual achievements in history. Mathematicians of the era sought a solid foundation for mathematics: a set ...