A Quote by Philip J. Davis on mathematics and theory

One of the endlessly alluring aspects of mathematics is that its thorniest paradoxes have a way of blooming into beautiful theories.

Philip J. Davis

Source: Number, Scientific American, 211, (Sept. 1964), 51 - 59.

Contributed by: Zaady

A Quote by Paul R. Halmos on authors, certainty, and theory

I remember one occasion when I tried to add a little seasoning to a review, but I wasn't allowed to. The paper was by Dorothy Maharam, and it was a perfectly sound contribution to abstract measure theory. The domains of the underlying measures were not sets but elements of more general Boolean algebras, and their range consisted not of positive numbers but of certain abstract equivalence classes. My proposed first sentence was: "The author discusses valueless measures in pointless spaces."

Paul R. Halmos

Source: I want to be a Mathematician, Washington: MAA Spectrum, 1985, p. 120.

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A Quote by Paul Adrien Maurice Dirac on accuracy, agreement, beauty, confidence, progress, theory, and work

I think that there is a moral to this story, namely that it is more important to have beauty in one's equations that to have them fit experiments. If Schroedinger had been more confident of his work, he could have published it some months earlier, and he could have published a more accurate equation. It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete agreement between the results of one's work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further development of the theory.

Paul A.M. Dirac (1902 - 1984)

Source: Scientific American, May 1963.

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A Quote by P. Langley on science, testing, and theory

[Scientific enterprise] is usually conceived as being made up of four main kinds of interrelated activities: gathering data, finding parsimonious descriptions of the data, formulating explanatory theories, and testing the theories. Sometimes the second category (description) and third (explanation) are merged. (note that they do not consider new data measuring devices among other things)

P. Langley

Source: Scientific Discovery, 1987, p17

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A Quote by Norbert Wiener on god, students, and theory

The modern physicist is a quantum theorist on Monday, Wednesday, and Friday and a student of gravitational relativity theory on Tuesday, Thursday, and Saturday. On Sunday he is neither, but is praying to his God that someone, preferably himself, will find the reconciliation between the two views.

Norbert Wiener (1894 - 1964)

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A Quote by Nikos Katzenzakis on action and theory

The ultimate, most holy form of theory is action.

Nikos Katzenzakis

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A Quote by Niels Henrik David Bohr on agreement, questions, and theory

We all agree that your theory is crazy. The question which divides us is whether it is crazy enough.

Niels Bohr (1885 - 1962)

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A Quote by Niels Henrik David Bohr on agreement and theory

We all agree that your theory is crazy, but is it crazy enough?

Niels Bohr (1885 - 1962)

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A Quote by N. R. F. Maier on conformity, facts, and theory

If facts do not conform to theory, they must be disposed of.

N. R. F. Maier

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A Quote by Morris Kline on ignorance, statistics, and theory

Statistics: the mathematical theory of ignorance.

Morris Kline

Source: N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.

Contributed by: Zaady

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