Is there any consensus among mathematicians (or rather philosophers of mathematics) on the concept of a number - what is really a number?(adsbygoogle = window.adsbygoogle || []).push({});

This question has quite bothered me recently. Do we left the concept of a number undefined and take it as an intuitive one with no need of definition?

Leopold Kronecker wrote "God made the integers; all else is the work of man." (http://en.wikipedia.org/wiki/Kronecker" [Broken] about Kronecker at Wikipedia). Is this idea prevalent?

Are there any recent books that deal with the concept of a number in modern mathematics?

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# What is a Number

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