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Stream created by Burak Emir.
I heard about Kristeva from an anime, Ergo Proxy. Abjection would be a cool name for an ACT process. Don't we all love things that produce meaning?
@janet singer I wonder if mentioning somebody adds then to a stream. Just playing around with this app.
From my knowledge, abjection is the casting off or devaluation of something horrific by experiencing it, like the choice we make to view a dead body of a loved one?
For (A)CT to find post-structuralism valuable, it would have to give a framework for a, e.g., general _abjective_ process, i.e. some process which manipulates a semiotic structure such that things re-signify something less. This means we have to design a framework for signification, etc.
Then of course are the usual CT properties to be shown.
It is the only thing I remembered from Kristeva. I am generally pretty ignorant about post-structuralism, but doesn't the "skeletal category" somehow qualify :D
I’m not familiar with Kristeva’s work, but I’m up for the challenge of making way through the thickets of terminology and concepts relevant to this stream! I’m particularly interested in Zalamea’s synthesis of pragmatism/ continental philosophy/ modern mathematics
And I thought I saw a response from @John Vickers that I can’t find now …?
@Burak Emir there are a lot of concepts in-and-out of poststructuralism that smack of categorical flavor. We should hunt them down...
@janet singer agree completely, I bought one copy for myself and another for a friend. Whereas the "categorification of abjection" maps mathematics into philosophy, Zalamea is a philosophical treatment of mathematics
An interesting duality that the toposophy channel might also be interested in. I think it would help people if we made this 'adjunction' clearer
Yes, definitely – both are needed and it would be nice to make the adjunction clear. So should we have one stream for philosophy + CT with two primary topics for the two directions? Or two ‘related’ streams each with subtopics? Is there a way to provide an ‘About’ for the streams that explains the relations?
I believe @John Vickers will find us on this stream, eventually. It does take time to get used to this medium. I am looking forward to asking you guys many naive questions.
Is semiotics and semiosis not somewhat different, more narrow than philosophy in general?
I think it is, but it's taken on its own life.
I would have placed the toposophy stream somewhere in philosophy of mathematics, whereas - in my naive view - semiotics and semiosis is a study more of communication. Am I off? I do think there is a connection, maybe an adjunction is really appropriate.
@Burak Emir I agree, I think semiotics has a life of its own where "production of meaning" and the relational nature of semiotics is worth seeing if CT can clarifying it.
@janet singer maybe we cna jump into toposophy if we feel like its more appropriate later
Logic, seen as a linguistic activity, seems also not far off. Most of my study of CT was mainly guided by logics.
Good questions with no single answer, though phil(math) and math(phil) is a good complementarity to keep in mind,
Maybe if we proceed by reading specific texts that would allow for some common contexts for discussion?
I think we should focus on "complementarity" (or duality, etc.) as Janet puts it just to filter out structure, but if there's anything interesting you find, I say post! Kristeva's semiotic square distinguishes Contradiction and Contrary relations which is itself a nice relation I would like to bring to the table later.
Yes, maybe Umberto Eco _A Theory of Semiotics_
to start or do you have something in particular in mind?
@janet singer Can you describe Zalamea's synthesis and what is intriguing about it? I am not familiar at all. With anything : ) I do find pragmatics is easy to relate to.
This is good https://ncatlab.org/nlab/show/Fernando+Zalamea
Fernando Zalamea Traba is a mathematician at Universidad Nacional de Colombia at Bogotá with main interests in categorical logic, non-classical logic, history and philosophy of mathematics. He is also writing essays in cultural studies.
On the difference between modern and contemporary mathematics: Just as Albert Lautman identified 5 features characteristic of advanced (post mid-19th century) mathematics (1-5 in this list), Zalamea identifies an additional set of 5 characteristics (6-10 in this list) which emerge only in the mid 20th century and (in addition to 1-5, which are conserved) define contemporary mathematics:
1) the complex hierarchisation of various theories, irreducible to systems of intermediate deduction;
2) the richness of the models, irreducible to linguistic manipulation;
3) the unity of structural methods and of conceptual polarites, beyond the effective multiplicity of models;
4) the dynamics of the creative activity, in a permanent back-and-forth between freedom and saturation, open to the Platonic division and the Platonic dialectic;
5) the mathematically demonstrable relation between what is multiple on a given level and what is singular on another, through a sophisticated lattice of mixed ascents and descents.
6) the structural impurity of arithmetic (Weil’s conjectures, Langlands program, the theorems of Deligne, Faltings and Wiles etc.)
7) the systematic geometrization of all environments of mathematics (sheaves, homologies, cobordisms, geometrical logic etc.)
8) the schematization and the liberation from set theoretical, algebraic, and topological restrictions (groupoids, categories, schemas, topoi, motifs etc..)
9) the fluxion and deformation of the usual boundaries of mathematical structures (nonlinearity, noncommutativity, nonelemantarity, quantization etc)
10) the reflexivity of theories and models onto themselves (classification theory, fixed-point theorems, monstrous models, elementary/nonelementary classes etc..)
Just gauging, what are our histories with CT, semiotics? I've been amateur in CT for a few years but I'm trying to seriously learn now. I was a B.A. in philosophy at USF, no publications, but I took special interest in semiotics, existential geography, and bioethics. I've been working full-time for four years after with a general exploratory attitude but I'm trying to focus on serious understanding now.
I have undergrad degrees in humanities and math, MA in math but amateur in CT as well because my interest keeps diverging into the kinds of questions Zalamea raises.
@janet singer thanks! I have some reading up to do. 6-10 seems related to something I have been pondering.
I have been reading up on CT from the angle of programming language technology. Lambda calculus, denotational semantics, higher order logic and types.
There is this multitude of formal systems that each let you express "all mathematics", which makes the foundations one chooses somewhat arbitrary.
As a programmer, one works with abstractions that are all in some sense models of reality, yet in another finite mathematical structures stacked on top of each other, in ways we fail to grasp.
@Matt Cuffaro have you read much of Zalamea’s book? There were some passages that were dense but it wasn’t as tough going as I expected. It does require prior immunization to both mathematical and Continental perspectives, and it seems not many people have both
(I only got part way through before getting diverted expecting to get back to it, preferably with a reading group.)
I got diverted as well
I haven’t read it since 2016 (? It’s publishing year?)
@Matt Cuffaro to answer your q, I know my way around CCCs and used to know the triangle identities of adjunctions. Revisiting categorical logic.
BTW, is Mazzola's topos of music in scope? I heard the word 'gesture'. Couldn't get hold of it through a library but I believe the concept of gesture is relevant here.
I started reading Mazzola's "Cool Math for Hot Music", it was very interesting, but I haven't revisited it recently. My math background is probably to the point where I can understand more of it now.
I agree, when I first saw it in the library years ago I was astounded
I am always amused at the subtitle "A First Introduction to Mathematics for Music Theorists", given how quickly the book gets into set theory and groups and rings and topology. It's more like a head-first dive!
You all seem to be already at post-structuralism. I'm still grasping how cybernetics, CT and structuralism are connected, as outlined in "The Cybernetic Matrix of French Theory
" by Céline Lafontaine.
I think we’re just flying around. There’s a lot of explore. I have a special interest in cybernetics too. Another article I’d like to check out
I wasn’t able to read the two articles last night. Hopefully I’ll have time again
I think i am going to ask Christian to get rid of the "abjection" piece of the stream title. I was close to ordering a copy of Umberto Eco last night.
We kind of got to a point where we'd want this stream to be "mathematics of (semiotics & semiosis / phil)" and the other stream would be phil of math. I am neither very learned nor a big fan of post-structuralism.
Christian Williams renamed stream semiotics, semiosis and abjection to semiotics and semiosis.
... sorry, Kristeva. We have chosen to dissociate from a concept of yours, in order to preserve our identity.
I wanna get how post structuralism comes in here.
I mean, again, I'm embarrassingly uneducated about this type of thing, in that I only have the faintest grasp of structuralism and post-structuralism.
But one aspect of post-structuralism I always thought was cool (again assuming I understood it at all, which maybe I didn't) was this notion of Derrida's (maybe?) that the idea of "concept" or "symbol" that points to something specific is pretty messy. And I sort of got this idea that maybe our ideas of "symbols," or even "concepts," were kind of loci in networks, or maybe something more like "clumps" if you zoomed out far enough.
And so you could have this kind of strange category where the arrows are something like... "evokes?"
And the objects are "concepts" or "symbols"?
I don't think you should be embarrassed about not knowing (post)structuralism! it is sort of heady. I posted a link to one Leandro's "Categorical Semiotics" where he tries to connect semiotics with fuzzy logic. I can't vouch for it nor does it look like what I imagine CTemiotics to look like, but it addresses the "messiness."
Umberto Eco in his Theory of Semiotics gives specific meaning between "denotation" and "connotation," which is to say that the connotation is the evocation that goes on in what we might call some higher space of thinking about things. I would expect that a denotation (a relation between two things, I suppose) _induces_ a relation between the target object and the connotation. These relations don't exist in the world, but are something which the mind _does_
Re: derrida, I'm writing a LaTeX document on readings. I think I'm going to give some time to Derrida and post-structuralism, because it will help me remember its content and maybe the stream will like it
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Learn about signs and meaning, and try to identify an ACT concept that we can name abjection.
Deprecated, use #theory: science instead. Learn about signs and meaning, and try to identify an ACT concept that we can name abjection.
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