Open Questions: Thinking, Reasoning, and Logic

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See also: Intelligence -- Cognition -- Categorization and concept formation

Introduction

Number sense

Mathematical cognition


Recommended references: Web sites

Recommended references: Magazine/journal articles

Recommended references: Books

Introduction

Questions:


Recommended references: Web sites

Tim van Gelder Research Publications
Many of van Gelder's publications deal with the philosophy of thinking and reasoning.
The Laboratory for Complex Thinking & Scientific Reasoning
At McGill University. "The main focus of research conducted in this laboratory is to uncover the thought processes underlying complex thinking and reasoning, especially scientific reasoning." Laboratory director is Kevin Dunbar.
What Are Numbers, Really? A Cerebral Basis For Number Sense
Article by Stanislas Dehaene, a cognitive neuropsychologist who has studied the "number sense". The question is what could be an evolutionary basis for counting and other mathematical abilities.
Jef Raskin's Effectiveness of Mathematics
An essay propounding the view that the human mind has evolved to operate (partially) in accord with logical principles, which entails it will develop mathematics in such a way as to be able to describe natural phenomena.
Animals that count: How numeracy evolved
June 2009 New Scientist article. "Monkeys, coots, salamanders and even bees can all understand numbers. But how and why did the ability arise?"


Recommended references: Magazine/journal articles


Recommended references: Books


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