Mathematics – General Mathematics
Scientific paper
2003-04-21
Mathematics
General Mathematics
v2; introduced standardised ACI compliant notation for citations; 15 pages; an HTML version is available at http://alixcomsi.c
Scientific paper
Whatever other beliefs there may remain for considering Cantor's diagonal argument as mathematically legitimate, there are three that, prima facie, lend it an illusory legitimacy; they need to be explicitly discounted appropriately. The first, Cantor's diagonal argument defines a non-countable Dedekind real number; the second, Goedel uses the argument to define a formally undecidable, but interpretively true, proposition; and the third, Turing uses the argument to define an uncomputable Dedekind real number.
No associations
LandOfFree
Three beliefs that lend illusory legitimacy to Cantor's diagonal argument does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Three beliefs that lend illusory legitimacy to Cantor's diagonal argument, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Three beliefs that lend illusory legitimacy to Cantor's diagonal argument will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-551175