12 ordspråk av Georg Cantor
Georg Cantor
 A set is a Many that allows itself to be thought of as a One. |
| Every transfinite consistent multiplicity, that is, every transfinite set, must have a definite aleph as its cardinal number. |
| In mathematics the art of asking questions is more valuable than solving problems. |
| In mathematics the art of proposing a question must be held of higher value than solving it. |
| One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite. |
| started to tell his friends that he had not been the inventor of the ideas about infinity that he had published. He was merely a mouthpiece, inspired by God to communicate parts of the mind of God to everyone else. |
| The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type. |
| The essence of mathematics lies in its freedom. |
| The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds. |
| The transfinite numbers are in a certain sense themselves new irrationalities and in fact in my opinion the best method of defining the finite irrational numbers is wholly disimilar to, and I might even say in priciple the same as, my method described above of introducing trasfinite numbers. One can say unconditionally: the transfinite numbers stand or fall with the finite irrational numbers; they are like each other in their innermost being; for the former like the latter are definite delimited forms or modifications of the actual infinite. |
| 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 lader 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. |
| [What a welcome relief this must have been to the chronically depressed Cantor! As John D. Barrow writes in] The Infinite Book: A Short Guide to the Boundless, Timeless and Endless, ... started to tell his friends that he had not been the inventor of the ideas about infinity that he had published. He was merely a mouthpiece, inspired by God to communicate parts of the mind of God to everyone else. |
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varav 1407627 på engelska
Proverb (1469511 st) Search
Categories (2627 st) Search
Authors (167535 st) Search
Photos (4592 st)
Born (10495 st)
Died (3317 st)
Dates (9517 st)
Countries (5315 st)
Idiom (4438 st)
Lengths
Toplists (6 st)
Greetings
Write a greeting
This website focuses on proverbs in the Swedish, Danish and Norwegian languages, and some parts including the links below have not been translated to English. They are mainly FAQs, various information and webpages for improving the collection.
Här har vi samlat citat sedan 1990!
Vad är proverb?
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 |
This website focuses on proverbs in the Swedish, Danish and Norwegian languages, and some parts including the links below have not been translated to English. They are mainly FAQs, various information and webpages for improving the collection.
Här har vi samlat citat sedan 1990!
Vad är proverb?
Hur funkar det?
Vanliga frågor
Om samlingen
Ordspråkshjältar
Hjälp till!