Mathematics

I have made a number of posts which involve or are dedicated to Mathematics. Here is a summary of them.

Intuitive Explanations

• What is a mathematical proof?
• Axioms, logical pinpointing, natural numbers, and mathematical realism
• How to prove stuff
• Confidence and Credibility
• Bayesian Networks

Mathematical Logic

• Propositional Logic
• Axioms, logical pinpointing, natural numbers, and mathematical realism
• How to prove stuff
• Logical Uncertainty
• Logical Uncertainty: an addendum
• The Gaifman Condition and the Π1-Π2 problem
• What’s logical coherence for anyway?

Number Theory

• Axioms, logical pinpointing, natural numbers, and mathematical realism

Probability Theory

• The supreme, most ultimate post on Bayes’ Theorem (maybe)
• Bayes’ Theorem
• What is evidence?
• Don’t be so sure…
• Other ways of looking at probability
• An (Intuitive?) Introduction to Entropy
• Learning Bayes [part 1]
• Learning Bayes [part 2]
• Learning Bayes [part 3]
• Learning Bayes [part 3.5]
• Agreements, disagreements, and likelihood ratios
• Absence of evidence is evidence of absence
• Occam’s Razor
• Confidence and Credibility
• Bayesian falsification and the strength of a hypothesis
• Truth, Probability, and Unachievable Consistency
• Bayesian Networks
• Artificial Neural Networks
• Stopping rules, p-values, and the likelihood principle
• Logical Uncertainty
• Logical Uncertainty: an addendum
• The Gaifman Condition and the Π1-Π2 problem
• What’s logical coherence for anyway?

Machine Learning

• Bayesian Networks
• Artificial Neural Networks