The fact that randomness requires a physical rather than a mathematical source is noted by almost everyone who writes on the subject, and yet the oddity of this situation is not much remarked.
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Chapter 2, Random Resources, p. 35Brian Hayes
I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is ... governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas.
John von Neumann
The definition of random in terms of a physical operation is notoriously without effect on the mathematical operations of statistical theory because so far as these mathematical operations are concerned random is purely and simply an undefined term. The formal and abstract mathematical theory has an independent and sometimes lonely existence of its own. But when an undefined mathematical term such as random is given a definite operational meaning in physical terms, it takes on empirical and practical significance. Every mathematical theorem involving this mathematically undefined concept can then be given the following predictive form: If you do so and so, then such and such will happen.
Walter A. Shewhart
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
We want to speak about freedom: This is a Vibrational Universe. The only Source that flows is the Source of Well-Being. And, physical and Non-physical, we are all free to allow that Well-Being to flow to us and through us, or we can pinch it off. It is our call—every time…
Esther Hicks
One physicist writes a study on microphysics, but another writes a book on the importance of Lenin’s and Engels’ works for the development of physics; one mathematician proves theorems, another publishes demagoguery on ingenious mathematical ideas of classical Marxists.
Aleksandr Zinovyev
Hayes , Brian
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