The foundations of mathematics; a contribution to the philosophy of geometry (1908)
Carus, Paul, 1852-1919 · Chicago, The Open court publishing co.; [etc., etc · leaf 100
EOMETRY. QI struction of motion. From the standpoint of purelogic, there is nothing irrational about the assumption; but as soon as we make an a priori construction of the scope of our motility, we find out theincompatibility of the whole scheme. In order to make the idea of a space of more… … two-dimensional space. If we construct a squareupon the line AB one inch long, it will be boundedby four lines each an inch in length. In order toconstruct upon the square ABCD a cube of thesame measure, we must raise the square by one inchinto the third dimension in a direction at rightangles to…
Geometry -- Foundations
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