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What is an intuitionist?

What is an intuitionist? Here are some definitions.

Noun
  1. A person who studies intuitionistic mathematics
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He is also the author of The Intuitionist, Sag Harbor, and Zone One.
Several years ago, Haidt and his colleagues began to develop a social intuitionist approach to moral psychology.
He was an intuitionist who stressed the essential role of human intuition in the foundations of mathematics.
He is an epistemological realist, an ethical intuitionist, and a political libertarian, too extreme for my tastes but always provocative.
Intuitionist philosophers such as Robert Nozick and David Schmidtz offer many contributions to the moral defense of capitalism.
In the Introduction and Chapter 1, Kaspar provides a quick overview of the intuitionist approach.

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