Posted in Numbers, Unquantified fragments of numbers

Is mathematics natural?

The Heretical Philosopher

While perusing the Uncommon Descent blog, I noticed a post

This seemed a strange thing to say.  It perhaps even involves what Gilbert Ryle would have called “a category mistake”.  Browsing through that post, I saw that it referred to an article in Aeon magazine

Clearly, professor Franklin and I have very different ways of looking at mathematics.  And that’s what I will be discussing in this post.

Mathematics and naturalism

Let’s start with that reference to “naturalism”.  Franklin adopts a philosophy that he describes as Aristotelian realism.  And it is in relation to that philosophy, that he makes his comment about naturalism.

Aristotelian realism stands in a difficult relationship with naturalism, the project of showing that all of the world and human knowledge…

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"If he's honest, he'll steal; if he's human, he'll murder; if he's faithful, he'll deceive. Being at a loss to resolve these questions, I am resolved to leave them without any resolution." I have so much to say to you that I am afraid I shall tell you nothing."

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