317 is a prime, not because we think so, or because our minds are shaped in one way rather than another, but because it is, because mathematical reality is built that way.
G. H. Hardy
Reality contains not only evidence, but also the means (such as our minds, and our artefacts) of understanding it. There are mathematical symbols in physical reality. The fact that it is we who put them there does not make them any less physical. (Ch.3)
David Deutsch
One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. From the viewpoint of positivist philosophy, however, one cannot determine what is real. All one can do is find which mathematical models describe the universe we live in. It turns out that a mathematical model involving imaginary time predicts not only effects we have already observed but also effects we have not been able to measure yet nevertheless believe in for other reasons. So what is real and what is imaginary? Is the distinction just in our minds?
Stephen Hawking
Two deep human desires were at war ... the longing for stability, for form, for permanence, which in its essence is the desire for death, and the opposing hunger for movement, change, instability and risk, which are life. Men came from the east and built these American towns because they wished to go no farther, and the towns they built were shaped by the urge to go onward.
Rose Wilder Lane
Wars begin in the minds of men, and in those minds, love and compassion would have built the defenses of peace.
U Thant
But we have higher mathematics, haven't we? This gives me freedom from my senses. The language of mathematics is even more inborn and universal than the language of music; a mathematical formula is crystal clear and independent of all sense organs. I therefore built a mathematical laboratory, set myself in it as if I were sitting in a car, and moved along with a beam of light.
Albert Einstein
Hardy, G. H.
Hardy, Jeremy
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