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## Re: [ontolog-forum] {Disarmed} Reality and Truth

 To: "[ontolog-forum]" Ingvar Johansson Sat, 12 May 2007 12:05:00 +0200 <4645914C.7040204@xxxxxxxxxxxxxxxxxxxxxx>
 ```John F. Sowa schrieb: > Ingvar, >    (01) I have no qualms about anything you say below.    (02) best, Ingvar    (03) > I'm happy to accept the following position: > > IJ> 'Truthlikeness' is introduced as a notion *beside* > > the bipolar notion of 'true-false' used in everyday > > life and in two-valued logic. I have by no means claimed > > that the introduction of 'truthlikeness' implies that > > two-valued logic has to be replaced by many-valued logic. > > But I also believe that Peirce's notion of truth is useful > to describe the ultimate goal that scientists are seeking, > but may never attain: > > IJ> The notion of 'truthlikeness' is needed in order to make > > sense of the history of science and to get a reasonable view > > of the future of science. > > I believe that Peirce was influenced by the mathematical > treatment of infinite series. For example, the following sum > > 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + ... > > converges to the limit 2. However, any finite sum of terms > is less than 2 by some small amount. > > For this series, I would say that the truth is "2", and > that any finite sum is more and more "truthlike" as more > terms are added. > > Although this particular series happens to have a very > compact statement of the "exact truth", namely "2", > many series, such as those that converge on an irrational > number such as pi, have no exact statement of the "true > value". But we can approximate it as closely as we like. > > This example illustrates a useful way of interpreting both > words 'truth' and 'truthlikeness': > > - Truth, in Peirce's sense, is a precise goal, which might > be beyond our ability to discover or even to describe in > a finite string of symbols. > > - Truthlikeness, in Popper's sense, has a range of values, > each of which can be stated in a finite number of symbols. > It's possible that one of those statements might happen > to be a precise description of the absolute truth, but we > might never be able to know whether it is the final answer. > > Neither of these two senses is identical to the common meaning > of the word 'truth', but the distinction is useful for clarifying > certain debates, such as this thread. > > John > > > _________________________________________________________________ > Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ > Subscribe/Config: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ > Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx > Shared Files: http://ontolog.cim3.net/file/ > Community Wiki: http://ontolog.cim3.net/wiki/ > To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx > >    (04) -- Ingvar Johansson IFOMIS, Saarland University home site: http://ifomis.org/ personal home site: http://hem.passagen.se/ijohansson/index.html    (05) _________________________________________________________________ Message Archives: http://ontolog.cim3.net/forum/ontolog-forum/ Subscribe/Config: http://ontolog.cim3.net/mailman/listinfo/ontolog-forum/ Unsubscribe: mailto:ontolog-forum-leave@xxxxxxxxxxxxxxxx Shared Files: http://ontolog.cim3.net/file/ Community Wiki: http://ontolog.cim3.net/wiki/ To Post: mailto:ontolog-forum@xxxxxxxxxxxxxxxx    (06) ```
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