Mathematics 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 MachMany an article that I myself penned twenty years ago impresses me now as something quite foreign to myself.
Ernst MachIf our dreams were more regular, more connected, more stable, they would also have more practical importance for us.
Ernst MachSimilarly, many a young man, hearing for the first time of the refraction of stellar light, has thought that doubt was cast on the whole of astronomy, whereas nothing is required but an easily effected and unimportant correction to put everything right again.
Ernst Mach