Jerry, List, I'm not exactly sure how to answer your question (I'm assuming that it's about the parenthetical comment).
Sheaf theory, which appears to be changing to some consideral extent the direction of topological mathematics, uses such concepts as presheaves being *glued* together. Honestly, although I attended 3 of Fernando's 6 lectures (which included discussions of sheaf theory) at Pratt in NYC this Fall, *that *mathematics was very far 'above my pay grade'. Although I followed a lot of it and learned a lot, I was principally interested in Fernando's insights into Peircean pragmatism and the continuum as Peirce understood it. For those who aren't familiar with sheaf theory, a sheaf is defined as "a tool for systematically tracking locally defined data attached to the open sets <https://en.wikipedia.org/wiki/Open_set> of a topological space <https://en.wikipedia.org/wiki/Topological_space>." Two wikipedia articles are helpful for the novice, one on Grothendieck's work (which was the topic of Fernando's seminar series): https://en.wikipedia.org/wiki/Grothendieck_topology and a more general one. Perhaps this snippet from the latter site will show why I commented that 'glue' was a technical term in this mathematics. . . . A presheaf is *separated* if its sections are "locally determined": whenever two sections over *U* coincide when restricted to each of *V**i*, the two sections are identical. . . Finally, a separated presheaf is a *sheaf* if *compatible sections can be glued together*, i.e., whenever there is a section of the presheaf over each of the covering sets *V**i*, chosen so that they match on the overlaps of the covering sets, these sections correspond to a (unique) section on *U*, of which they are restrictions. https://en.wikipedia.org/wiki/Sheaf_(mathematics) But, again, my ignorance of this mathematics is profound.aeven though I've been self-studying topology for some time now. Best, Gary R [image: Gary Richmond] *Gary Richmond* *Philosophy and Critical Thinking* *Communication Studies* *LaGuardia College of the City University of New York* *C 745* *718 482-5690* On Tue, Dec 1, 2015 at 12:51 AM, Jerry LR Chandler <[email protected] > wrote: > Gary: > On Nov 30, 2015, at 11:02 PM, Gary Richmond wrote: > > And he quotes Peirce, from several sources, in support of this notion (I > should note, btw, that "glues" in the passage above is a technical term in > the mathematics which Zalamea espouses). > > > I am curious as to why you consider this assertion valid. > > Cheers > > jerry > > >
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