And Banno is correct, many people assume that General Relativity undermines Kant's conception that space is a form of intuition, since for Kant it seems the form of our space had to be Euclidean, whereas one result of General Relativity, and one which has been experimentally confirmed I believe, is that our space is non Euclidean. — jkg20
I think you might be confusing Einstein with Bohr, or some other early quantum mechanist. Let's have another stab at this, if only to save the scientific reputation of Einstein.For Einstein something does not have a definite position and size
For Einstein there is no overarching space or time for the relative to fit in.
Of course, all the non Euclidian spaces are mathematical constructions that can be thought, but cannot be perceived. Kant really only talks about our experience of space, and so long as no-one experiences a four-dimensional space, that still holds. — Echarmion
Actually, I wouldn't mind pursuing this a little further, i.e. Einstein versus Kant, it might help me get clearer on Kant.Of course, all the non Euclidian spaces are mathematical constructions that can be thought, but cannot be perceived. Kant really only talks about our experience of space, and so long as no-one experiences a four-dimensional space, that still holds.
Thank you for saying simply and clearly what I have tried to express on numerous occasions but could't figure out how to say it. — tim wood
As I understood Kant, we don't experience space at all, it is instead the framework that outer experience has to conform to. If that is right even three dimensional space cannot be perceived. — jkg20
Given that he did most of his serious work before Gauss and Reimmann were even born, the only model of geometry he had available to him would have been Euclid's. So, it is not surprising that where he does talk about geometry it is of the three dimensional kind. Would it really have made a difference to him had he been aware of the possibility of coherent geometries with more than three dimensions? — jkg20
beware claims about "understanding" Kant — tim wood
Get involved in philosophical discussions about knowledge, truth, language, consciousness, science, politics, religion, logic and mathematics, art, history, and lots more. No ads, no clutter, and very little agreement — just fascinating conversations.