A Quote by Leonardo da Vinci

Therefore, O students, study mathematics and do not build without foundations.

Leonardo da Vinci

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Build Foundations Mathematics Students Study Therefore Without

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Leonardo da Vinci
Italian - Artist
April 15, 1452 - May 2, 1519

One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.

L. E. J. Brouwer

If you want to be a physicist, you must do three things-first, study mathematics, second, study more mathematics, and third, do the same.

Arnold Sommerfeld

I don't think that everyone should become a mathematician, but I do believe that many students don't give mathematics a real chance. I did poorly in math for a couple of years in middle school; I was just not interested in thinking about it. I can see that without being excited mathematics can look pointless and cold. The beauty of mathematics only shows itself to more patient followers.

Maryam Mirzakhani

[The error in the teaching of mathematics is that] mathematics is expected either to be immediately attractive to students on its own merits or to be accepted by students solely on the basis of the teacher's assurance that it will be helpful in later life. [And yet,] mathematlcs is the key to understanding and mastering our physical, social and biological worlds.

Morris Kline

We cannot build foundations of a state without rule of law.

Mahmoud Abbas

What is mathematics? Ask this question of person chosen at random, and you are likely to receive the answer "Mathematics is the study of number." With a bit of prodding as to what kind of study they mean, you may be able to induce them to come up with the description "the science of numbers." But that is about as far as you will get. And with that you will have obtained a description of mathematics that ceased to be accurate some two and a half thousand years ago!

Keith Devlin

On foundations we believe in the reality of mathematics, but of course, when philosophers attack us with their paradoxes, we rush to hide behind formalism and say 'mathematics is just a combination of meaningless symbols,'... Finally we are left in peace to go back to our mathematics and do it as we have always done, with the feeling each mathematician has that he is working with something real. The sensation is probably an illusion, but it is very convenient.

Jean Dieudonne

Science is wonderful at destroying metaphysical answers, but incapable of providing substitute ones. Science takes away foundations without providing a replacement. Whether we want to be there or not, science has put us in the position of having to live without foundations. It was shocking when Nietzsche said this, but today it is commonplace; our historical position-and no end to it is in sight-is that of having to philosophise without 'foundations'.

Hilary Putnam

Find a model of great education in history and you will find a great teacher who inspired students to make the hard choice to study. Wherever you find such a teacher, you will also find self-motivated students who study hard. When students study hard, learning occurs.

Oliver DeMille

The broader the chess player you are, the easier it is to be competitive, and the same seems to be true of mathematics - if you can find links between different branches of mathematics, it can help you resolve problems. In both mathematics and chess, you study existing theory and use that to go forward.

Viswanathan Anand

Consequently he who wishes to attain to human perfection, must therefore first study Logic, next the various branches of Mathematics in their proper order, then Physics, and lastly Metaphysics.

Maimonides

We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions.

Whitfield Diffie

We in science are spoiled by the success of mathematics. Mathematics is the study of problems so simple that they have good solutions

Whitfield Diffie

I have to study politics and war so that my sons can study mathematics, commerce and agriculture, so their sons can study poetry, painting and music.

John Quincy Adams

But there is another reason for the high repute of mathematics: it is mathematics that offers the exact natural sciences a certain measure of security which, without mathematics, they could not attain.