It is interesting that the term mystic is used in this derogatory sense to mean anything we cannot segmentize and count. The odd belief prevails in our culture that a thing or experience is not real if we cannot make it mathematical, and that somehow it must be real if we can reduce it to numbers. But this means making an abstraction out of it ... Modern Western man thus finds himself in the strange situation, after reducing something to an abstraction, of having then to persuade himself it is real. ... the only experience we let ourselves believe in as real, is that which precisely is not.
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Existence (1956) p. 39; also published in The Discovery of Being : Writings in Existential Psychology (1983), Part III : Contributions to Therapy, Ch. 6 : To Be and Not to Be, p. 94Rollo May
The physicist who states a law of nature with the aid of a mathematical formula is abstracting a real feature of a real material world, even if he has to speak of numbers, vectors, tensors, state-functions, or whatever to make the abstraction.
Hilary Putnam
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
People could no longer learn hacking the way I did, by starting to work on a real operating system, making real improvements. In fact, in the 1980s I often came across newly graduated computer science majors who had never seen a real program in their lives. They had only seen toy exercises, school exercises, because every real program was a trade secret. They never had the experience of writing features for users to really use, and fixing the bugs that real users came across. The things you need to know to do real work.
Richard M. Stallman
The recognition of the light of reality within the darkness of abstraction is a contradiction – both the affirmation and the negation of the real at one and the same time. The new philosophy, which thinks the concrete not in an abstract but a concrete way, which acknowledges the real in its reality – that is, in a way corresponding to the being of the real as true, which elevates it into the principle and object of philosophy – is consequently the truth of the Hegelian philosophy, indeed of modern philosophy as a whole.
Ludwig Andreas Feuerbach
The real problem in speech is not precise language. The problem is clear language. The desire is to have the idea clearly communicated to the other person. It is only necessary to be precise when there is some doubt as to the meaning of a phrase, and then the precision should be put in the place where the doubt exists. It is really quite impossible to say anything with absolute precision, unless that thing is so abstracted from the real world as to not represent any real thing. Pure mathematics is just an abstraction from the real world, and pure mathematics does have a special precise language for dealing with its own special and technical subjects. But this precise language is not precise in any sense if you deal with real objects of the world, and it is only pedantic and quite confusing to use it unless there are some special subtleties which have to be carefully distinguished.
Richard Feynman
May, Rollo
Mayakovsky, Vladimir
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