Nature consists of the elements given by the senses. Primitive man fir — Ernst Mach

"The student of mathematics often finds it hard to throw off the uncomfortable feeling that his science, in the person of his pencil, surpasses him in intelligence,—an impression which the great Euler confessed he often could not get rid of. This feeling finds a sort of justification when we reflect that the majority of the ideas we deal with were conceived by others, often centuries ago. In a great measure it is really the intelligence of other people that confronts us in science.—Mach, Ernst."

"There is no problem in all mathematics that cannot be solved by direct counting. But with the present implements of mathematics many operations can be performed in a few minutes which without mathematical methods would take a lifetime."

"The mental operation by which one achieves new concepts and which one denotes generally by the inadequate name of induction is not a simple but rather a very complicated process. Above all, it is not a logical process although such processes can be inserted as intermediary and auxiliary links. The principle effort that leads to the discovery of new knowledge is due to abstraction and imagination."

"There was a loud echo of Hume in Mach’s work, as both emphasized the tangibility of all knowledge—ultimately, all knowledge is based in the senses. Mach also emphasized the internal nature of all knowledge, in that it is experienced in the mind. Finally, he emphasized the importance of quantitative and mathematical methods and models to understand sensory experience."

"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 spiders web of thoughts too weak to furnish sure supports, but complicated enough to provide confusion."

"The new historiography on Logical Empiricism sets in with the rediscovery of Ernst Mach (1838-1916) as a precursor of Gestalt theory, evolutionary epistemology, (possibly radical) constructivism and the modern historically oriented philosophy of science. But already in Mach’s reception of the Vienna Circle one can see not only a certain pluralism of views but also a polarization of the various positions (Mach’s influence on Carnap’s Aufbau / Logical Construction, the critical distancing to “psychologism” in the manifesto, the alternative to the principle of economy in Karl Menger, etc.) Nevertheless, this research program, which was interpreted differently by the Vienna Circle, actually represented a sort of prototype for Logical Empiricism in the interwar years – irrespective of whether one backs the bold claim as to the existence of a “typical Austrian philosophy” (as opposed to German idealism)."

"As long as you keep getting born, it’s okay to die sometimes."

"The smart way to keep people passive and obedient is to strictly limit the spectrum of acceptable opinion, but allow very lively debate within that spectrum - even encourage the more critical and dissident views. That gives people the sense that theres free thinking going on, while all the time the presuppositions of the system are being reinforced by the limits put on the range of the debate."

"History is a strange experience. The world is quite small now; but history is large and deep. Sometimes you can go much farther by sitting in your own home and reading a book of history, than by getting onto a ship or an airplane and traveling a thousand miles. When you go to Mexico City through space, you find it a sort of cross between modern Madrid and modern Chicago, with additions of its own; but if you go to Mexico City through history, back only 500 years, you will find it as distant as though it were on another planet: inhabited by cultivated barbarians, sensitive and cruel, highly organized and still in the Copper Age, a collection of startling, of unbelievable contrasts."

"As soon as a thought or word becomes a tool, one can dispense with actually ‘thinking’ it, that is, with going through the logical acts involved in verbal formulation of it. As has been pointed out, often and correctly, the advantage of mathematics—the model of all neo-positivistic thinking—lies in just this ‘intellectual economy.’ Complicated logical operations are carried out without actual performance of the intellectual acts upon which the mathematical and logical symbols are based. … Reason … becomes a fetish, a magic entity that is accepted rather than intellectually experienced."

"Our feminist culture at the present moment is completely dependent on capitalism. My grandmother was still scrubbing clothes on the back porch on a washboard!"

"A word of the faith that never balks, Here or henceforward it is all the same to me, I accept Time absolutely. It alone is without flaw, it alone rounds and completes all, That mystic baffling wonder alone completes all. (23)"