"Mathematics, from the earliest times to which the history of human reason can reach, has followed, among that wonderful people of the Greeks, the safe way of science. But it must not be supposed that it was as easy for mathematics as for logic, in which reason is concerned with itself alone, to find, or rather to make for itself that royal road. I believe, on the contrary, that there was a long period of tentative work , and that the change is to be ascribed to a revolution, produced by the happy thought of a single man, whose experiments pointed unmistakably to the path that had to be followed, and opened and traced out for the most distant times the safe way of a science. The history of that intellectual revolution, which was far more important than the passage round the celebrated Cape of Good Hope, and the name of its fortunate author, have not been preserved to us. ... A new light flashed on the first man who demonstrated the properties of the isosceles triangle , for he found that he had not to investigate what he saw hi the figure, or the mere concepts of that figure, and thus to learn its properties; but that he had to produce what he had himself, according to concepts a priori, placed into that figure and represented in it, so that, in order to know anything with certainty a priori, he must not attribute to that figure anything beyond what necessarily follows from what he has himself placed into it, in accordance with the concept."
React to this quote
More by Immanuel Kant
See allResonant Thoughts
"This is the great day. This is the greatest event in all the history of the human race, up to this time. That is — today is New Year's Day of the Year One. If we don't change the calendar, historians …"
Explore Further
Related Quotes
"Human beings never know more than a part, as "through a glass darkly"; and all knowledge comes to us in pie…"
— Thomas Cahill"Everybody is seldom to be believed. "They say" is not proof that they know. On dit is French for a fib."
— Samuel Laman Blanchard"Suppose that we are wise enough to learn and know – and yet not wise enough to control our learning and kno…"
— Isaac Asimov"These things cannot be explained in detail. From one thing, know ten thousand things. When you attain the W…"
— Miyamoto Musashi"I do not know whether behind appearances there lives and moves a secret essence superior to me. Nor do I as…"
— Nikos Kazantzakis"I read once, somewhere, that the way you know you've grown up is when your future death becomes a stone in …"
— Matthew Stover
Related Thinkers
Related Topics
Deep Dives
- Friedrich Nietzsche on knowledge
- Baruch Spinoza on knowledge
- Thomas Carlyle on knowledge
- Aristotle on knowledge
- Immanuel Kant on knowledge
- Ludwig Wittgenstein on knowledge
- Michel de Montaigne on knowledge
- Epictetus on knowledge
- Friedrich Nietzsche on life
- Friedrich Nietzsche on truth
- justice & Beauty
- justice & Change