Concept List in Metamathematics and Foundation of Math

Arihant Gadgade
Writings
Date Published: 3/21/2025

Related Concepts to Tackle the Foundations of Math

• Randomness
• Induction, Patterns, Information Compression, Curve Fitting
• Probability
• Information Theory
• Kolmogorov Complexity
• Chaitin Omega Number
• Algorithmic Information Theory
• Computational Irreducibility
• Computational Equivalence
• Metamathematics
• Math Logic and Philosophy
• Constructive vs Nonconstructive Mathematics (Intuitionistic vs Classical Logic)
• Formal Systems
• Russell’s Paradox
• Godel’s Incompleteness
• Turing Completeness
• Computation
• Computational Complexity

Now I have somewhat of a map for the foundations of math, if I grok these concepts, I can at least understand the foundations of math and potentially make a contribution.

Looser concepts:
Ontologies (Information Science), Linguistics
Consciousness, Nonduality
Cognition, Intelligence
Physics