tag:blogger.com,1999:blog-4368351372698071125.post8377902828880130757..comments2024-03-26T19:25:41.099+02:00Comments on This Universe Out Here: A Point about MathRan K.http://www.blogger.com/profile/17931361479329507296noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-4368351372698071125.post-87704048949590505312016-03-12T18:30:38.749+02:002016-03-12T18:30:38.749+02:00http://www.israelhayom.com/site/newsletter_article...<a href="http://www.israelhayom.com/site/newsletter_article.php?id=32345" rel="nofollow">http://www.israelhayom.com/site/newsletter_article.php?id=32345</a>Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-4368351372698071125.post-49133995734323558342015-03-11T14:14:01.491+02:002015-03-11T14:14:01.491+02:00On the 2nd of this month I was in Tel Aviv Univers...On the 2nd of this month I was in Tel Aviv University and happened to meet a person by the name of Eilon (I don’t remember the family name) who is a graduate student of math in the field of set theory. We had a short conversation about the subject and following some subsequent thoughts I came to be fully convinced that the axiom advocating the existence of an infinite set is not acceptable. – The Russell paradox too is a consequence of assuming the possibility of an infinite number of elements constructing a set. – I might still have some relevant questions but it is inevitable that in actuality the root of all troublesome issues occurring quite strangely in the field of this theory is the attempt of inserting the infinite into analyzable human thought in the field of math. I generally believe the true and correct line-of-thought in set-theory would lead to the unequivocal conclusion that there is (absolutely) no room for non-constructive mathematics. What the apparent contradictions very-roughly-attempted-to-be-solved are telling us is that there is no infinite set to be accepted in mathematics. – Things – I believe – are not that difficult to see should one not be too attached to a mathematical-theory of which very little – apparently, - will be left, or to the emotional wish to have the infinite (should one exist at all) accessible and usable at hand within mathematical research. I am saying all is wrong, fundamentally, - and as it seems (as I said not all is yet clear) we could not speak of the idea of an infinite number in practicality. The explosion created by the subsequent construction of power-sets is demonstrating this impossibility when taken to its entirety.Ran K.https://www.blogger.com/profile/17931361479329507296noreply@blogger.com