Borovik A. Mathematics Under the Microscope

Published under Creative Commons (Sep 5, 2007)Notes on Cognitive Aspects of Mathematical PracticePart I Simple Things:
How Structures of Human Cognition Reveal Themselves in Mathematics
A Taste of Things to Come
What You See is What You Get
The Wing of the Hummingbird
Simple Things
Infinity and Beyond
Encapsulation of Actual InfinityPart II Mathematical Reasoning
What Is It That Makes a Mathematician?
Kolmogorov’s Logic and Heuristic Reasoning
Recovery vs. Discovery
The Line of SightPart III History and Philosophy
The Ultimate Replicating Machines
The Vivisection of the Cheshire Cat