- From: John Cowan <cowan@ccil.org>
- Date: Mon, 11 Jun 2007 13:05:45 -0400
- To: "Henry S. Thompson" <ht@inf.ed.ac.uk>
- Cc: Pat Hayes <phayes@ihmc.us>, SWEOIG?@ccil.org, Tim Berners-Lee <timbl@w3.org>, Dan Brickley <danbri@danbri.org>, www-tag@w3.org
Henry S. Thompson scripsit: > I did say 'to some extent'. A photograph of a painting of George V > surely depicts George V, and an MP3 of a wax cylinder of a player > piano roll of Rubenstein playing the Hammerklavier is still a > rendering of the Hammerklavier. Indeed, I will go further and say that "represent" *is* transitive, when properly separated from types of description that are not representation. There is a limitation on the length of transitive chains for material reasons: a xerox copy of a page from a book represents not only the page, but the text of the book; however, a 10th-generation xerox copy is probably just a blur and no longer represents the text. This is the ancient "paradox of the heap"; in general, a heap with one item removed remains a heap, but the recursion must not be pursued too far: there are no one-element heaps, and still less zero-element ones. See http://en.wikipedia.org/wiki/Sorites_paradox , or for more detail http://plato.stanford.edu/entries/sorites-paradox . The final section of the latter addresses the relevance of the paradox to reference: the summit of Everest is part of the mountain, but points on the Himalayan plain are not, and there is no saying exactly where the boundary between Everest and non-Everest might be. -- John Cowan http://ccil.org/~cowan cowan@ccil.org Arise, you prisoners of Windows / Arise, you slaves of Redmond, Wash, The day and hour soon are coming / When all the IT folks say "Gosh!" It isn't from a clever lawsuit / That Windowsland will finally fall, But thousands writing open source code / Like mice who nibble through a wall. --The Linux-nationale by Greg Baker
Received on Monday, 11 June 2007 17:05:55 UTC