Category/Tag: Propositional Logic

Cox's Theorem: Is Probability Theory Universal?

Cox's Theorem: Is Probability Theory Universal?

A concise, provocative guide to Cox's theorem and its claim that probability theory uniquely governs rational reasoning under uncertainty, this article unpacks Jaynes’s desiderata and the derivation that links plausibility to the rules of probability, then traces practical consequences for Bayesian inference, decision theory, and modern machine learning—essential reading for researchers, data scientists, and anyone curious about the foundations of probabilistic reasoning.


From Certainty to Belief: How Probability Extends Logic - Part 1

From Certainty to Belief: How Probability Extends Logic - Part 1

Some may be quick to assume that logic and probability are opposites, when in fact, one could consider probability an extension of logic. In today's article by Bruce Nielson, we'll be showcasing how this is so, and why it matters to you.


Dice Rolls, Coin Flips, and Death By Asteroid: A Probability Refresher

Dice Rolls, Coin Flips, and Death By Asteroid: A Probability Refresher

Flipping coins or rolling die are a common and comfortable way of showing how probability works. But what about the chance of an asteroid plummeting towards the Earth? How does probability play into that? In today's article by Bruce Nielson, we'll be having a refresher on probability and why you should care to consider it in your business and day-to-day life.