VI. The Present State of Philosophy and Science

And no less significant is the fact that the Frenchman Poincare has very ingeniously processed these various theories in an epistemological way. However, if you stick to the mere utilization of these non-Euclidean definitions, without wanting to take the step into the field of the humanities, which is where Poincaré came to: to see nothing in all our geometric observations but formulas that our cognitive faculty has to grasp the facts in the most convenient way possible. And this is very clearly elaborated by Poincaré. And the German reader also has the opportunity, through the commendable translations of these books by the Munich mathematician Lindemann, to gain an insight into the significance of what actually underlies the whole matter.