Maths is the purest science in that you don't need any test tubes or animal testing to do it. All the other sciences eventually boil down to maths, apart from biology, which boils down to soup.
2004 In The Guardian,19 Jun.
Concern 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 Weil
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 Galilei
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 musil
Mathematics is the bold luxury of pure reason, one of the few that remain today.
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 Rowlett
Trying to solve real-world 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 russell