philosophy and mathematics in a historical sporting arena?

A note re http://www.newstatesman.com/culture/books/2015/12/true-scientific-revolution-triumph-mathematicians-over-philosophers –
The book is too expensive, and the review mentions philosophers in general – ones that are out to reconfirm aristotle.
If reconfirming aristotle – then perhaps the very philosophy talked about as losing in some historical game – is not entirely the kind we recognise contemporarily?

Perhaps my personal interest here is in the times science was/is invented and how this practice of invention might be applied to inventing art?