Our mathematical concepts, structures, ideas have been invented as tools to organise the phenomena of the physical, social and mental world. Phenomenology of a mathematical concept, structure, or idea means describing it in its relation to the phenomena for which it was created, and to which it has extended in the learning process of mankind, and, as far as this description is concerned with the learning process of the young generation, it is didactical phenomenology, a way to show the teacher the places where the learner might step into the learning process of mankind.
Hans FreudenthalRelated topics
concept description far generation idea learning learner might phenomenology show step teacher way young meansRelated quotes
America's abundance was created not by public sacrifices to the common good, but by the productive genius of free men who pursued their own personal interests and the making of their own private fortunes. They did not starve the people to pay for America's industrialization. They gave the people better jobs, higher wages, and cheaper goods with every new machine they invented, with every scientific discovery or technological advance- and thus the whole country was moving forward and profiting, not suffering, every step of the way.
Ayn Rand
Reading is merely a surrogate for thinking for yourself; it means letting someone else direct your thoughts. Many books, moreover, serve merely to show how many ways there are of being wrong, and how far astray you yourself would go if you followed their guidance. You should read only when your own thoughts dry up, which will of course happen frequently enough even to the best heads; but to banish your own thoughts so as to take up a book is a sin against the holy ghost; it is like deserting untrammeled nature to look at a herbarium or engravings of landscapes.
Arthur Schopenhauer
Broadly speaking, [Keynesianism means] that the government has a specific responsibility for the behavior of the economy, that it doesn't work on its own autonomous course, but the government, when there's a recession, compensates by employment, by expansion of purchasing power, and in boom times corrects by being a restraining force. But it controls the great flow of demand into the economy, what since Keynesian times has been the flow of aggregate demand. That was the basic idea of Keynes so far as one can put it in a couple of sentences.
John Kenneth Galbraith
After experience had taught me that all the usual surroundings of social life are vain and futile; seeing that none of the objects of my fears contained in themselves anything either good or bad, except in so far as the mind is affected by them, I finally resolved to inquire whether there might be some real good having power to communicate itself, which would affect the mind singly, to the exclusion of all else: whether, in fact, there might be anything of which the discovery and attainment would enable me to enjoy continuous, supreme, and unending happiness.
Baruch Spinoza
There are things about organized religion which I resent. Christ is revered as the Prince of Peace, but more blood has been shed in His name than any other figure in history. You show me one step forward in the name of religion and I'll show you a hundred retrogressions. Remember, they were men of God who destroyed the educational treasures at Alexandria, who perpetrated the Inquisition in Spain, who burned the witches at Salem. Over 25,000 organized religions flourish on this planet, but the followers of each think all the others are miserably misguided and probably evil as well.
Frank Sinatra