# mathematics

## A Quote by Ludwig Josef Johann Wittgenstein on life, logic, mathematics, needs, and order

Mathematics is a logical method. . . . Mathematical propositions express no thoughts. In life it is never a mathematical proposition which we need, but we use mathematical propositions only in order to infer from propositions which do not belong to mathematics to others which equally do not belong to mathematics.

Source: Tractatus Logico Philosophicus, New York, 1922, p. 169.

Contributed by: Zaady

## A Quote by L.M. Passano on mathematics, prostitution, purity, and women

This trend [emphasizing applied mathematics over pure mathematics] will make the queen of the sciences into the quean of the sciences. Quean: a disreputable woman, a prostitute.

Source: H. Eves Mathematical Circles Squared, Boston: Prindle, Weber and Schmidt, 1972.

Contributed by: Zaady

## A Quote by Lewis Carroll on mathematics and ambition

The different branches of Arithmetic - Ambition, Distraction, Uglification, and Derision.

Source: Alice's Adventures In Wonderland, Chapter 9

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## A Quote by Lewis Carroll on mathematics, addition, questions, and counting

"Can you do addition?" the White Queen asked. "What's one and one and one and one and one and one and one and one and one and one?"
"I don't know," said Alice. "I lost count."

Source: Through the Looking Glass, Chapter 9

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## A Quote by Leonhard Euler on belief, doubt, mathematics, mystery, and people

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus.

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## A Quote by Leonardo da Vinci on delusion, eternity, mathematics, and wisdom

Whoever despises the high wisdom of mathematics nourishes himself on delusion and will never still the sophistic sciences whose only product is an eternal uproar.

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

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## A Quote by Leonardo da Vinci on mathematics and paradise

Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics.

Source: The Notebooks, 1508–1518

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## A Quote by Leon Henkin on books, ideas, mathematics, nature, problems, questions, students, and teachers

One of the big misapprehensions about mathematics that we perpetrate in our classrooms is that the teacher always seems to know the answer to any problem that is discussed. This gives students the idea that there is a book somewhere with all the right answers to all of the interesting questions, and that teachers know those answers. And if one could get hold of the book, one would have everything settled. That's so unlike the true nature of mathematics.

Source: L.A. Steen and D.J. Albers (eds.), Teaching Teachers, Teaching Students, Boston: Birkhäuser, 1981, p89.

Contributed by: Zaady

## A Quote by Count Leo Nikolaevich Tolstoi or Tolstoy on achievement, aim, art, conformity, correction, errors, history, hope, humanity, individuality, justice, laws, mathematics, mind, observation, problems, separation, solution, understanding, and yieldi

A modern branch of mathematics, having achieved the art of dealing with the infinitely small, can now yield solutions in other more complex problems of motion, which used to appear insoluble. This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion, admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when dealing with separate elements of motion instead of examining continuous motion. In seeking the laws of historical movement just the same thing happens. The movement of humanity, arising as it does from innumerable human wills, is continuous. To understand the laws of this continuous movement is the aim of history. Only by taking an infinitesimally small unit for observation (the differential of history, that is, the individual tendencies of man) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history.

Source: War and Peace.

Contributed by: Zaady

## A Quote by Lancelot Hogben on difficulty, emotion, mathematics, and therapy

The best therapy for emotional blocks to math is the realization that the human race took centuries or millennia to see through the mist of difficulties and paradoxes which instructors now invite us to solve in a few minutes.

Contributed by: Zaady