The Limits of Mathematics

Abstract

This condensed version of chao-dyn/9509010 will be the main hand-out for a course on algorithmic information theory to be given 22-29 May 1996 at the Rovaniemi Institute of Technology, Rovaniemi, Finland (see announcement at http://www.rotol.fi/ ).

LaTeX, 45 pages

Cited by in corpus (21)

• Rethinking Superdeterminism
• The Berry Paradox
• The Physics of Information
• Algorithmic Information Theoretic Issues in Quantum Mechanics
• Leibniz, Information, Math and Physics
• A Mathematical Random Number Generator (MRNG)
• Incompleteness, Complexity, Randomness and Beyond
• How to Run Algorithmic Information Theory on a Computer
• The Limits of Mathematics---The Book
• A Formal System: Rigorous Constructions of Computer Models
• Is Complexity a Source of Incompleteness?
• A theory of experiment
• The Limits of Mathematics---Alternative Version
• Computing A Glimpse of Randomness
• Every Computably Enumerable Random Real Is Provably Computably Enumerable Random
• Scanning the structure of ill-known spaces: Part 1. Founding principles about mathematical constitution of space
• The Limits of Mathematics---Tutorial Version
• The Limits of Mathematics---Third Version
• On the Origin of Quantum Uncertainty
• Why we shouldn't fault Lucas and Penrose for continuing to believe in the Goedelian argument against computationalism
• Programs as the Language of Science