Transfinite Quotes
-
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.
Georg Cantor
Keywords: actual :: all :: and :: around :: created :: destroys :: even :: fear :: form :: forms :: has :: highest :: in :: infinite :: infinity :: inhabits :: is :: it :: its :: minds :: myopia :: occurs :: of :: our :: possibility :: secondary :: seeing :: sustains :: that :: the :: though :: transfinite :: usSubject: Infinity Quotes :: Mathematics QuotesSource: thinkexist.com -
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 abo...
Georg Cantor
Keywords: above :: and :: are :: as :: best :: certain :: defining :: described :: disimilar :: even :: fact :: finite :: in :: irrational :: irrationalities :: is :: method :: might :: my :: new :: numbers :: of :: opinion :: priciple :: same :: say :: sense :: the :: themselves :: to :: transfinite :: whollySubject: Infinity Quotes :: Mathematics QuotesSource: thinkexist.com
-
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 no...
Georg Cantor
Keywords: also :: an :: and :: are :: ascending :: assert :: believe :: by :: call :: could :: definite :: demonstrated :: earlier :: fi :: finite :: following :: have :: in :: is :: lader :: modes :: nature :: not :: of :: one :: supra :: that :: the :: their :: there :: this :: to :: transfinite :: unbounded :: what :: which :: worksSubject: Infinity Quotes :: Mathematics QuotesSource: thinkexist.com
