The strongest use of the symbol is to be found in its magical power of doubling the actual universe, and placing by its side an ideal universe, its exact counterpart, with which it can be compared and contrasted, and, by means of curiously connecting fibres, form with it an organic whole, from which modern analysis has developed her surpassing geometry.
Benjamin PeirceRelated topics
actual analysis counterpart doubling found form geometry ideal modern organic placing power side surpassing symbol universe use meansRelated quotes
These universal means of expression were discovered in modern painting by a logical and gradual progress toward ever more abstract form and color. Once the solution was discovered, there followed the exact representation of relations alone, that is to say, of the essential and fundamental element in any plastic emotion of the beautiful.
Piet Mondrian
Among the basic freedoms to which men aspire that their lives might be full and uncramped, freedom from fear stands out as both a means and an end. A people who would build a nation in which strong, democratic institutions are firmly established as a guarantee against state-induced power must first learn to liberate their own minds from apathy and fear.
Aung San Suu Kyi
[I]t is necessary to insist upon this extraordinary but undeniable fact: experimental science has progressed thanks in great part to the work of men astoundingly mediocre, and even less than mediocre. That is to say, modern science, the root and symbol of our actual civilization, finds a place for the intellectually commonplace man and allows him to work therein with success.
José Ortega y Gasset
The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics; and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
John von Neumann
Life cannot have had a random beginning. ... The trouble is that there are about two thousand enzymes, and the chance of obtaining them all in a random trial is only one part in 10 to the 40,000 power, an outrageously small probability that could not be faced even if the whole universe consisted of organic soup.
Fred Hoyle
