From: Peter F. Patel-Schneider <pfps@research.bell-labs.com>

Date: Fri, 04 Jan 2002 11:48:58 -0500

To: m.batsis@bsnet.gr

Cc: www-rdf-interest@w3.org

Message-Id: <20020104114858Q.pfps@research.bell-labs.com>

Date: Fri, 04 Jan 2002 11:48:58 -0500

To: m.batsis@bsnet.gr

Cc: www-rdf-interest@w3.org

Message-Id: <20020104114858Q.pfps@research.bell-labs.com>

From: "Manos Batsis" <m.batsis@bsnet.gr> Subject: RE: what RDF is not (was ...) Date: Fri, 4 Jan 2002 18:10:55 +0200 > > > > -----Original Message----- > > From: Peter F. Patel-Schneider [mailto:pfps@research.bell-labs.com] > > > The nth element of the fractional part will be > > 1 if U(n) is a URI that represents a real number that has the > > nth element > > of the fractional part of its decimal expansion anything but 1 > > 2 otherwise > > > > My apologies but I don't seem to get the obvious, this specific part > ruins it all for me. BTW, is the length of the fractional part finite as > well along with the Unicode char sequence? > > Kindest regards, > > Manos What is not obvious about it? All real numbers between 0 and 1 can be represented as infinite sequences of decimal digits. All other real numbers can be represented as integers plus one of the above real numbers. This example is an instance of Cantor's diagonal argument, which should be known by all computer scientists. peter PS: The fractional parts of ALL real numbers are infinite. Some fractional parts are really boring, ending with an infinite sequence of 0's, and thus can be ignored. Some fractional parts are moderately boring, ending with a repeating finite sequence, and thus can be *easily* finitely represented.Received on Friday, 4 January 2002 11:51:01 UTC

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