Beim @neusprech mal wieder das Wort #Topos gehört. Mein Eindruck ist, dass das nur in journalistischen Kreisen verwendet wird. @kaibiermann bestätigt hier den Eindruck. 😉

I am under the impression that Eff (the effective #topos )
models an impredicative universe of proof-relevant types, and on the
other hand its subobject classifier can be used to model a
proof-irrelevant Prop.

As a topos, Eff models extensional type theory, and thence we have the
functional extensionality law.
https://groups.google.com/g/HomotopyTypeTheory/c/r5FSNLRMPXM/m/f243r_qaCAAJ

contd
pointfree rewrites a function in point-free style. There are no x's, y's or z's in the written version, only uncurry, composition (.), and the product function (,). These exist in all Cartesian closed categories (CCC). So our original function definition, despite apparently referring to elements, can be mechanically turned into a definition valid for any CCC. We can now reinterpret the meaning of x, y and z in the original definition as not referring to elements at all, but as labels indicating how a bunch of fairly general categorically defined primitives are to be assembled together.
take a formal system and find a way to translate it to talk about categories in such a way that true propositions in one are turned into true propositions in the other. The formal system now becomes an internal language for those categories.

The best known example is #topos theory. A topos is a category that has a bunch of properties that make it a bit like Set. We take a subset of the language of set theory that makes use of just these properties. Our propositions that look like set theory can now be mechanically translated into statements valid of all toposes. This means we can happily write lots of arguments referring to elements of objects in a topos and get correct results.

Journey of Morning as Tomorrows | Chapter 1 | Homo rehabilis

https://homorehabilis.medium.com/journey-of-morning-as-tomorrows-chapter-1-homo-rehabilis-29ef26cb4ed3

#bird #birds #birdlover #essay #naturewriting #philosophy #anthropology #bergson #revelation #buddhism #ecosystem #superposition #quantum #quantummechanics #nature #homorehabilis #bugs #error #Islam #sufism #eberhardt #maghreb #topos #dream #medium #naturewriting #immense #kuya #amida

Neighborhood bookstore 📚
#topos #bookstore #books #ridgewood #nyc

Lieb gemeint vom #ORF dieses #Topos, am Tablet nur, Browser egal (Chrome/Safari/Opera), leider ein einziger großer Bug. Kein Zugriff auf Einstellungen, multimediale Imnhalte starten von selbst, oder lassen sich erst gar nicht starten, am Ende Absturz/Freeze.

Lieb gemeint vom #ORF dieses #Topos, am Tablet nur, Browser egal (Chrome/Safari/Opera), leider ein einziger großer Bug. Kein Zugriff auf Einstellungen, multimediale Imnhalte starten von selbst, oder lassen sich erst gar nicht starten, am Ende Absturz/Freeze.

He who asks shall be given:
#orf #topos ist eine brückenschlagende Plattform im Bildungsauftrag für alle Kanäle und Formate, dle „die Bereiche Wissenschaft, Kultur, Religion und Gesellschaft miteinander verbindet“.

https://orf.at/stories/3295562/

@didierchatenay @jaztrophysicist #solidaire... si qqun peut m'expliquer les #topos ici...