Robert,
I agree that lattices would make a good formal structure for classifying and
organizing interpretants. If all the interpretants are derived by formal rules
of inference according to some formal logic, then a lattice would be the
appropriate mathematical structure for organizing and
John, List
John, concerning Peirce's mathematical background, I can't find a note
attached to your message, but perhaps I misread it?
I want to point out, however, that I did some research to find out whether
Peirce was aware of Lattice Theory since I think you are aware that over
forty years
Gary R, Robert M, Jon AS, Edwina, List,
Thanks, Gary, for explaining our points of agreement. As you emphasize in bold
face, we all agree with Nathan Houser and with Short that Peirce’s later
taxonomy “is sketchy, tentative, and, as best I can make out, incoherent”
(Short 2007, p. 260). But
List,
I agree with JAS on the architectonic character of the classification of
the sciences. I want to complement what he says further and be even more
precise about Peirce's deeper thinking. Indeed, JAS is perfectly suitable
to note that applying the principle of classification (which Peirce
Jon,
I would tend to strongly agree with what you've written. However, this
passage seems to me to need a bit of 'unpacking' to be entirely clear.
JAS: The necessity of collateral experience/observation for any sign to be
understood is one of Peirce's most notable insights. It leads to the
Gary, List:
Indeed, as I have said before, usefulness is in the eye of the beholder;
and as Peirce himself said, "True science is distinctively the study of
useless things. For the useful things will get studied without the aid of
scientific men" (CP 1.76, c. 1896). Nobody should disparage one
List, John, Edwina, Jon,
How differently some other distinguished scholars see this matter of the
'usefulness' of Peirce's semeiotic project than John Sowa appears to.
Consider this passage near the conclusion of a paper by Nathan Houser in a
festschrift for Lucia Santaella published just last
