Existent Quotes - page 2

Mathematics is in its development entirely free and is only bound in the self-evident respect that its concepts must both be consistent with each other, and also stand in exact relationships, ordered by definitions, to those concepts which have previously been introduced and are already at hand and established. In particular, in the introduction of new numbers, it is only obligated to give definitions of them which will bestow such a determinacy and, in certain circumstances, such a relationship to the other numbers that they can in any given instance be precisely distinguished. As soon as a number satisfies all these conditions, it can and must be regarded in mathematics as existent and real. (Georg Cantor)
But it is quite easy to express the solution in words, thus: the plurality that we perceive is only an appearance; it is not real. Vedantic philosophy, in which this is a fundamental dogma, has sought to clarify it by a number of analogies, one of the most attractive being the many-faceted crystal which, while showing hundreds of little pictures of what is in reality a single existent object, does not really multiply the object... 'You may suddenly come to see, in a flash, the profound rightness of the basic conviction of Vedanta: ... knowledge, feeling and choice are essentially eternal and unchangeable and numerically one in all men, nay in all sentient beings.' View quote
Erwin Schrödinger