categories: concepts & categories

categories: concepts & categories

[Posina Venkata Rayudu]

Dear All,

I hope all is well.

Would you be kind enough to share a copy of the following papers (and
abstracts) of Professor F. William Lawvere (in case you happen to
have):

Categorie e Spazio: Un Profilo, Lettera matematica PRISTEM 31,
Springer, Italy, (1999), 35-50. [Reprinted in La Mathematica a cura di
Bartocci, Claudio, Giulio Einaudi editore (2010) vol. 4, 107-135.]

Concetti fondazionali espliciti nell'insegnamento della matematica,
Matematica e filosofia: il problema dei fondamenti oggi PRISTEM/Storia
14-15 a cura di Albeverio, Sergio e Minazzi, Fabio. Atti del Convegno
di Mendrisio, 16 novembre 2001. [Interdisciplinary Encounter on the
Problem of Foundations of Mathematics].

and/or its English translation:

Explicit foundational concepts in the teaching of mathematics in
Filsofia, scienza e bioetica nel dibattito contemporaneo a cura di
Minazzi, Fabio, Instituto Poligrafico e Zecca dello Stato, Roma
(2007).

Functorial Automata Theory
AMS Notices 603-151, vol 10: 477-478 (July 1963)

Concepts and Problems in Mathematical Toposes
CMS Winter Meeting, Toronto, Special Session on Category Theory,
Program p. 31 (December 1988)

Categorical Analyses of the Whole/Part Relation
Mitteleuropaeisches Kulturinstitut, Bolzano, Italy (May 1998)

On a related note, I was wondering of any efforts to collect together
Professor F. William Lawvere's posts to our Category Theory Mailing
List, most of which are very substantive (e.g., critique of Chomskian
syntax vs. semantics obsession unmindful of theories).  Speaking of
words and concepts, it is amusing to see how the enlightened
artificial intelligentsia (AI) is blissfully oblivious to the
mathematical advances---Bastiani & Ehresmann's Sketches,
Grothendieck's Descent, and F. William Lawvere's Functorial
Semantics---in our understanding of the relationship between
presentations (words) and representations of concepts objectified as
structures (cf. https://www.nature.com/articles/s42256-023-00703-8).
This may not be surprizing given that Nature, Science, PNAS et al.,
turned political or something other than science (e.g., speaking in
tongues: oracles and faith, https://www.nature.com/articles/529437a).
The good old days of MacLane communicating Professor F. William
Lawvere's Category of Sets to PNAS (and, of course, Functorial
Semantics was also published there) are gone for good (cf.
https://www.pnas.org/doi/10.1073/pnas.1609793113).

Happy Weekend :)

Thanking you,
Yours truly,
posina


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