The mathematician who pursues his studies without clear views of this matter, must often have the uncomfortable feeling that his paper and pencil surpass him in intelligence.
Ernst MachMathematics may be defined as the economy of counting. There is no problem in the whole of mathematics which cannot be solved by direct counting.
Ernst MachWithout renouncing the support of physics, it is possible for the physiology of the senses, not only to pursue its own course of development, but also to afford to physical science itself powerful assistance.
Ernst Mach