Philosophy
In 1783, Kant wrote: "That everywhere space (which is not itself the boundary of another space) has three dimensions and that space in general cannot have more dimensions is based on the proposition that not more than three lines can intersect at right angles in one point. This proposition cannot at all be shown from concepts, but rests immediately on intuition and indeed on pure intuition a priori because it is apodictically (demonstrably) certain."
Read more about this topic: Dimension (mathematics And Physics)
Famous quotes containing the word philosophy:
“The fact is, mental philosophy is very like Poverty, which, you know, begins at home; and indeed, when it goes abroad, it is poverty itself.”
—Henry David Thoreau (1817–1862)
“The philosopher’s conception of things will, above all, be truer than other men’s, and his philosophy will subordinate all the circumstances of life. To live like a philosopher is to live, not foolishly, like other men, but wisely and according to universal laws.”
—Henry David Thoreau (1817–1862)
“Why does philosophy use concepts and why does faith use symbols if both try to express the same ultimate? The answer, of course, is that the relation to the ultimate is not the same in each case. The philosophical relation is in principle a detached description of the basic structure in which the ultimate manifests itself. The relation of faith is in principle an involved expression of concern about the meaning of the ultimate for the faithful.”
—Paul Tillich (1886–1965)