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Questions and Answers about Intuitionism

Ten Questions about Intuitionism. This website has as its goal to investigate the opinions of the mathematical community on intuitionism. To this end it presents ten slightly provocative questions and collects answers to these questions from as many people as possible. If you want to participate in this investigation, send your answers to the ten questions to answers@intuitionism.org. The web site also contains an annotated version. Each question should be answered by. Do you agree that the axiom which s...

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Questions and Answers about Intuitionism | intuitionism.org Reviews

https://intuitionism.org

Ten Questions about Intuitionism. This website has as its goal to investigate the opinions of the mathematical community on intuitionism. To this end it presents ten slightly provocative questions and collects answers to these questions from as many people as possible. If you want to participate in this investigation, send your answers to the ten questions to answers@intuitionism.org. The web site also contains an annotated version. Each question should be answered by. Do you agree that the axiom which s...

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1

Ten Answers from Ross A. Finlayson

http://www.intuitionism.org/people/rosfin.html

These are the answers by philosopher Ross A. Finlayson. To the ten questions about intuitionism. Do you agree that it is impossible to define a total function from the reals to the reals which is not continuous? Do you agree that the intermediate value theorem does not hold the way that it is normally stated? Do you agree that there are only three infinite cardinalities? Do you agree that the continuum hypothesis is a meaningful statement that has a definite truth value, even if we do not know what it is?

2

Ten Answers from Luís Cruz-Filipe

http://www.intuitionism.org/people/luicru.html

These are the answers by mathematician Luís Cruz-Filipe. To the ten questions about intuitionism. Do you agree that it is impossible to define a total function from the reals to the reals which is not continuous? Do you agree that the intermediate value theorem does not hold the way that it is normally stated? Do you agree that there are only three infinite cardinalities? I've no idea what this is about! Do you agree that for any mathematical question it is easy to build a machine with two lights,.

3

Ten Answers from Arnon Avron

http://www.intuitionism.org/people/arnavr.html

These are the answers by logician Arnon Avron. To the ten questions about intuitionism. Do you agree that it is impossible to define a total function from the reals to the reals which is not continuous? Do you agree that the intermediate value theorem does not hold the way that it is normally stated? Do you agree that there are only three infinite cardinalities? Do you agree that the continuum hypothesis is a meaningful statement that has a definite truth value, even if we do not know what it is?

4

Ten Answers from Herman Geuvers

http://www.intuitionism.org/people/hergeu.html

These are the answers by logician Herman Geuvers. To the ten questions about intuitionism. Do you agree that it is impossible to define a total function from the reals to the reals which is not continuous? A non-continuous total function from the reals to the reals may not be computable, but it is a well-defined function. Do you agree that the intermediate value theorem does not hold the way that it is normally stated? Just like 1: the computational version of IVT does no hold, but IVT itself does. Where...

5

Ten Answers from Mark van Atten

http://www.intuitionism.org/people/maratt.html

These are the answers by philosopher Mark van Atten. To the ten questions about intuitionism. Like others, I have noticed a certain degree of indeterminateness in some of the questions; I have chosen to think of this as intentional on Freek's part, and have taken the liberty to interpret the questions in what I think of as a Brouwerian way. Do you agree that it is impossible to define a total function from the reals to the reals which is not continuous? Brouwer has shown this. And it is false, see 4.

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In A Sentence .org. The best little site that helps you understand word usage with examples. Intuitionist in a sentence. Is this supposed to be an epistemological concern as the term intuitionist seems to suggest i.e., a worry that individual actors will have some kind of trouble discovering what is in fact just, independently of the contents of the law? Though appealing to experience, they reach formulæ as absolute as any intuitionist could desire. Use agedly in a sentence. Use backblocks in a sentence.

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Intuitionist Home Page

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