As far as the laws of mathematics refer to reality, they are not certain, as far as they are certain, they do not refer to reality.
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Do not worry about your difficulties in Mathematics. I can assure you mine are still greater.
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Yes, we have to divide up our time like that, between our politics and our equations. But to me our equations are far more important, for politics are only a matter of present concern. A mathematical equation stands forever.
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In mathematics you don't understand things. You just get used to them.
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If a man's wit be wandering, let him study the mathematics.
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Histories make men wise poets, witty the mathematics, subtle natural philosophy, deep moral, grave logic and rhetoric, able to contend.
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By keenly confronting the enigmas that surround us, and by considering and analysing the observations that I have made, I ended up in the domain of mathematics, Although I am absolutely without training in the exact sciences, I often seem to have more in common with mathematicians than with my fellow artists.
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University President Why is it that you physicists always require so much expensive equipment Now the Department of Mathematics requires nothing but money for paper, pencils, and erasers.. And the Department of Philosophy is better still. It doesn't even ask for erasers.
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I must study politics and war that my sons may have liberty to study mathematics and philosophy. My sons ought to study mathematics and philosophy, geograhy, natural history, naval architecture, navigation, commerce, and agriculture, in order to give thei
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The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.
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Do not worry about your problems in mathematics. I assure you, my problems with mathematics are much greater than yours.
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Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.
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Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week.
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Advertising research is one-half frustration, one-half exclamation point, and one-half question-mark. If this adds up to more than 100 percent, it proves that mathematics and research sometimes gives confusing results.
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The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful.
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It is now quite lawful for a Catholic woman to avoid pregnancy by a resort to mathematics, though she is still forbidden to resort to physics and chemistry
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I don't believe in mathematics.
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But the creative principle resides in mathematics. In a certain sense, therefore, I hold true that pure thought can grasp reality, as the ancients dreamed.
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Adam and Eve are like imaginary number, like the square root of minus one.. If you include it in your equation, you can calculate all manners of things, which cannot be imagined without it.
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Every formula which expresses a law of nature is a hymn of praise to God.
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Histories make men wise; poets, witty; the mathematics, subtile; natural philosophy, deep; moral, grave; logic and rhetoric, able to contend.
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Mathematics allows for no hypocrisy and no vagueness.
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We especially need imagination in science. It is not all mathematics, nor all logic, but it is somewhat beauty and poetry.
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The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.
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What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.
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