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 Mach More Quotes by Ernst Mach More Quotes From Ernst Mach Thing, body, matter, are nothing apart from the combinations of the elements, - the colours, sounds, and so forth - nothing apart from their so-called attributes. Ernst Mach elementsbodysound A colour is a physical object as soon as we consider its dependence, for instance, upon its luminous source, upon other colours, upon temperatures, upon spaces, and so forth. Ernst Mach temperaturesourcespace Science is the most complete presentment of facts with the least expenditure of thought Ernst Mach expendituresfacts Strange as it may sound, the power of mathematics rests on its evasion of all unnecessary thought and on its wonderful saving of mental operations. Ernst Mach savingsoundscience I can accept the theory of relativity as little as I can accept the existence of atoms and other such dogmas. Ernst Mach follow-your-dreamsatomslittles Many an article that I myself penned twenty years ago impresses me now as something quite foreign to myself. Ernst Mach impresstwentiesyears Man is pre-eminently endowed with the power of voluntarily and consciously determining his own point of view. Ernst Mach point-of-viewviewsmen What Mach calls a thought experiment is of course not an experiment at all. At bottom it is a grammatical investigation. Ernst Mach investigationbottomexperiments My table is now brightly, now dimly lighted. Its temperature varies. It may receive an ink stain. One of its legs may be broken. It may be repaired, polished, and replaced part by part. But, for me, it remains the table at which I daily write. Ernst Mach inkbrokenwriting Physics is experience, arranged in economical order. Ernst Mach experienceorderscience Bodies do not produce sensations, but complexes of elements (complexes of sensations) make up bodies. Ernst Mach somamedicinephilosophy If our dreams were more regular, more connected, more stable, they would also have more practical importance for us. Ernst Mach individualismimportancedream The fact is, every thinker, every philosopher, the moment he is forced to abandon his one-sided intellectual occupation by practical necessity, immediately returns to the general point of view of mankind. Ernst Mach occupationintellectualviews I know of nothing more terrible than the poor creatures who have learned too much. Instead of the sound powerful judgement which would probably have grown up if they had learned nothing, their thoughts creep timidly and hypnotically after words, principles and formulae, constantly by the same paths. What they have acquired is a spider's web of thoughts too weak to furnish sure supports, but complicated enough to provide confusion. Ernst Mach supportpowerfulconfusion Personally, people know themselves very poorly. Ernst Mach knowspeople The history of the development of mechanics is quite indispensable to a full comprehension of the science in its present condition. It also affords a simple and instructive example or the processes by which natural science generally is developed. Ernst Mach developmentexamplesimple To us investigators, the concept 'soul' is irrelevant and a matter for laughter. But matter is an abstraction of exactly the same kind, just as good and just as bad as it is. We know as much about the soul as we do of matter. Ernst Mach laughtersoulscience The plain man is familiar with blindness and deafness, and knows from his everyday experience that the look of things is influenced by his senses; but it never occurs to him to regard the whole world as the creation of his senses. Ernst Mach medicinemenphilosophy Science itself, therefore, may be regarded as a minimal problem, consisting of the completest possible presentment of facts with the least possible expenditure of thought. Ernst Mach maysciencefacts The ego is as little absolutely permanent as are bodies. Ernst Mach egobodylittles
