As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality.

Good, he did not have enough imagination to become a mathematician.
david hilbertConcern for the symbol has completely disappeared from our science. And yet, if one were to give oneself the trouble, one could easily find, in certain parts at least of contemporary mathematics... symbols as clear, as beautiful, and as full of spiritual meaning as that of the circle and mediation. From modern thought to ancient wisdom the path would be short and direct, if one cared to take it.
Simone WeilGod used beautiful mathematics in creating the world.
paul diracMathematics is not a careful march down a wellcleared highway, but a journey into a strange wilderness, where the explorers often get lost. Rigour should be a signal to the historian that the maps have been made, and the real explorers have gone elsewhere.
If in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics.
The study of mathematics is the indispensable basis for all intellectual and spiritual progress.
As to your Newton, I confess I do not understand his void and his gravity; I admit he has demonstrated the movement of the heavenly bodies with more exactitude than his forerunners; but you will admit it is an absurdity to to maintain the existence of Nothing.
Euler calculated the force of the wheels necessary to raise the water in a reservoir … My mill was carried out geometrically and could not raise a drop of water fifty yards from the reservoir. Vanity of vanities! Vanity of geometry!
What has philosophy got to do with measuring anything? It's the mathematicians you have to trust, and they measure the skies like we measure a field.
Galileo GalileiArchimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. "Immortality" may be a silly word, but probably a mathematician has the best chance of whatever it may mean.
A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas.
Anyone who cannot cope with mathematics is not fully human. At best he is a tolerable subhuman who has learned to wear shoes, bathe, and not make messes in the house.
From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician.
It is a wellknown experience that the only truly enjoyable and profitable way of studying mathematics is the method of "filling in details" by one's own efforts.
Mathematics is good for the soul, getting things right enlivens a sense of truth, efforts to understand automatically purify desires.
Mathematics is the source of a wicked intellect that, while making man the lord of the earth, also makes him the slave of the machine.
robert musilMathematics is the bold luxury of pure reason, one of the few that remain today.
[Mathematics is] the science that draws necessary conclusions.
Number is the ruler of forms and ideas, and the cause of gods and daemons .
There is geometry in the humming of the strings, there is music in the spacing of the spheres.
Extension and abstraction without apparent direction or purpose is fundamental to the discipline. Applicability is not the reason we work, and plenty that is not applicable contributes to the beauty and magnificence of our subject.
Peter RowlettTrying to solve realworld problems, researchers often discover that the tools they need were developed years, decades or even centuries earlier by mathematicians with no prospect of, or care for, applicability.
Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform.
bertrand russellI like mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe – because, like Spinoza's God, it won't love us in return.
As long as algebra is taught in school, there will be prayer in school.
Cokie Roberts