Mathematics and mind

Archimedes of Syracus

Give me a place to stand, and I will move the earth.

Aristotle

Now what is characteristic of any nature is that which is best for it and gives most joy. Such a man is the life according to reason, since it is that which makes him man. 

 Roger Bacon

In mathematics I can report no deficience, except it be that men do not sufficiently understand the excellent use of the Pure Mathematics.Mathematics is the door and key to the sciences.Mathematics is absolutely necessary and useful to the other sciences.

Heri Bergson 

One can always reason with reason.

Janos Bolyai

I have created a new universe from nothing.

Bernhard Bolzano

Even in the realm of things which do not claim actuality, and do not even claim possibility, there exist beyond dispute sets which are infinite.

George Boole

No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.

Geoge Cantor

Mathematics is entirely free in its development, and its concepts are only linked by the necessity of being consistent, and are co-ordinated with concepts introduced previously by means of precise definitions.

Rene Descartes

There have been only Mathematicians who were able to find some proofs, that is to say some sure and certain reasons. 

Carl Friedrich Gauss

Mathematics is the queen of the sciences and number theory is the queen of mathematics.

Kurt Godel

The development of mathematics towards greater precision has led, as is well known, to the formalization of large tracts of it, so that one can prove any theorem using nothing but a few mechanical rules.

Jacques Salomon Hadamard 

Logic merely sanctions the conquests of the intuition.