„What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending ladder of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.“

—  Georg Cantor, As quoted in Understanding the Infinite (1994) by Shaughan Lavine ~
Georg Cantor foto
Georg Cantor1
matematik, autor teorie množin 1845 - 1918
Reklama

Podobné citáty

Georg Cantor foto
 Philolaus foto

„The world's nature is a harmonious compound of infinite and finite elements“

—  Philolaus ancient greek philosopher -470 - -390 př. n. l.
Context: Fragment 1. (Stob.21.7; Diog.#.8.85) The world's nature is a harmonious compound of infinite and finite elements; similar is the totality of the world in itself, and of all it contains. b. All beings are necessarily finite or infinite, or simultaneously finite and infinite; but they could not all be infinite only.

Reklama
Georg Cantor foto
 Aristotle foto
Lee Smolin foto
 Ramanuja foto
Josef Pieper foto
Erwin Schrödinger foto
James Jeans foto
 Aristotle foto
 Aristotle foto
Bernhard Riemann foto
 Aristotle foto
Leonardo Da Vinci foto

„The eye, which is called the window of the soul, is the principal means by which the central sense can most completely and abundantly appreciate the infinite works of nature; and the ear is the second, which acquires dignity by hearing of the things the eye has seen.“

—  Leonardo Da Vinci Italian Renaissance polymath 1452 - 1519
Context: The eye, which is called the window of the soul, is the principal means by which the central sense can most completely and abundantly appreciate the infinite works of nature; and the ear is the second, which acquires dignity by hearing of the things the eye has seen. If you, historians, or poets, or mathematicians had not seen things with your eyes you could not report of them in writing. And if you, O poet, tell a story with your pen, the painter with his brush can tell it more easily, with simpler completeness and less tedious to be understood. And if you call painting dumb poetry, the painter may call poetry blind painting. Now which is the worse defect? to be blind or dumb? Though the poet is as free as the painter in the invention of his fictions they are not so satisfactory to men as paintings; for, though poetry is able to describe forms, actions and places in words, the painter deals with the actual similitude of the forms, in order to represent them. Now tell me which is the nearer to the actual man: the name of man or the image of the man. The name of man differs in different countries, but his form is never changed but by death.

„Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Etiam egestas wisi a erat. Morbi imperdiet, mauris ac auctor dictum.“