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Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true ... If our hypothesis is about anything, and not about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition, and will probably agree that it is accurate.
--
Recent Work on the Principles of Mathematics, published in International Monthly, vol. 4 (1901).

 

Bertrand Russell

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Thus mathematics may be defined as the subject in which we nevewr know what we are talking about, nor whether what we are saying is true.

 

Bertrand Russell

 

The principles of logic and mathematics are true simply because we never allow them to be anything else. And the reason for this is that we cannot abandon them without contradicting ourselves, without sinning against the rules which govern the use of language, and so making our utterances self-stultifying. In other words, the truths of logic and mathematics are analytic propositions or tautologies.

 

Alfred Jules Ayer

 

The election's coming just in a couple of weeks, and I hope you're praying about your vote. One of the propositions, of course, that I want to mention is Proposition 8, which is the proposition that had to be instituted because the courts threw out the will of the people. And a court of four guys actually voted to change a definition of marriage that has been going for 5,000 years.
Now let me say this really clearly: we support Proposition 8 — and if you believe what the Bible says about marriage, you need to support Proposition 8. I never support a candidate, but on moral issues I come out very clear.
This is one thing, friends, that all politicians tend to agree on. Both John McCain and Barack Obama, I flat out asked them "what is your definition of marriage?" and they both said the same thing. It is the traditional, historic, universal definition of marriage: one man and one woman, for life. … There are about 2% of Americans are homosexual or gay, lesbian people. We should not let 2% of the population determine — to change a definition of marriage that has been supported by every single culture, and every single religion, for 5,000 years. … So I urge you to support Proposition 8, and pass that word on. I'm going to be sending out a note to pastors on what I believe about this, but everybody knows what I believe about it, and they heard me at the civil forum when I asked both Obama and McCain on their views.

 

Rick Warren

 

The only generally agreed upon definition of mathematics is "Mathematics is what mathematician's do." [...]
In the face of this difficulty [of defining "computer science"] many people, including myself at times, feel that we should ignore the discussion and get on with doing it. But as George Forsythe points out so well in a recent article*, it does matter what people in Washington D.C. think computer science is. According to him, they tend to feel that it is a part of applied mathematics and therefore turn to the mathematicians for advice in the granting of funds. And it is not greatly different elsewhere; in both industry and the universities you can often still see traces of where computing first started, whether in electrical engineering, physics, mathematics, or even business. Evidently the picture which people have of a subject can significantly affect its subsequent development. Therefore, although we cannot hope to settle the question definitively, we need frequently to examine and to air our views on what our subject is and should become.

 

Richard Hamming

 

Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of highest excellence, is to be found in mathematics as surely as in poetry.

 

Bertrand Russell