The startling and counterintuitive notion - contradicting both surface appearances and all Deep Wisdom - that intelligence is a manifestation of Order rather than Chaos. Even creativity and outside-the-box thinking are essentially lawful.

While this is a complete heresy according to the standard religion of Silicon Valley, there are some good mathematical reasons for believing it.

Blog posts

Preliminaries:

No One Can Exempt You From Rationality's Laws
A Priori
Beautiful Math, Expecting Beauty, Is Reality Ugly?, and Beautiful Probability
Trust in Math
Trust in Bayes
The Second Law of Thermodynamics, and Engines of Cognition
Perpetual Motion Beliefs
Searching for Bayes-Structure

Main sequence:

Expected Creative Surprises
Building Something Smarter
Complexity and Intelligence
Recognizing Intelligence
Lawful Creativity
Lawful Uncertainty
Selling Nonapples
The Nature of Logic
Logical or Connectionist AI? (The correct answer being "Wrong!")
Failure By Analogy and Failure By Affective Analogy
Artificial Mysterious Intelligence

See also