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
- Some philosophers think mathematics exists in a mysterious other realm. They’re wrong. Look around: you can see it (James Franklin)
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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