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/sci/ - Science & Math

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7561515 No.7561515 [Reply] [Original]

Is type theory a meme?

>> No.7561518

>>7561515
Is shit-posting a habit?

>> No.7561523

>>7561515
Is meme theory a type?

>> No.7561526

I'm a type btw

>> No.7561530

>>7561518
Yes, unfortunately.

>> No.7561541

I hope all of you die of genital herpes

>> No.7561787
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7561787

>>7561515
>C O Q U A N D L E C O Q U I N

>> No.7562595

>>7561530
I kinda have to agree. Everyone I've met in grad school who is a strict computational/constructivist-type "math" person tends to be a meme mathematician with little knowledge outside of "look, this part of category theory can be programmed in Haskell! What's an algebra/sheaf/cochain/anything that category theory was built to deal with? Sounds dumb."

>> No.7562599

>>7561787
>>7561787
What book is this from ?

>> No.7562602

>>7562599
looks lik HoTT, †rade Meme

>> No.7562644 [DELETED] 
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7562644

HoTT : 500+ pages a fucking notations for at the end having <span class="math">\pi_{n}(\mathbb{S}^{n}) = \mathbf{Z}[\math].

WELL THANKS NIGGA[/spoiler]

>> No.7562651 [DELETED] 

>>7562644
<span class="math">\pi_{n}(\mathbb{S}^{n}) = \mathbf{Z}[\math][/spoiler]

>> No.7562656

>>7562602
>HoTT : 500+ pages of notations for at the end having

<span class="math">\pi_{n}(\mathbb{S}^{n}) = \mathbf{Z}[/spoiler].

>> No.7564265
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7564265

On a semi-related note...

...in November, I’ll finally have some time on my hands for a few months and I consider using it for the tedious enterprise of polishing my „physics notebook“.

Let’s say I’ll aim for speaking about the bosonic ideal quantum gas and for that I’ll make all necessary definition. And by all necessary definitions I mean that the definition of the pair <span class="math">\langle a,b\rangle[/spoiler] of two sets will only be the 30’th post or so. So it will be slow, abstract and self-contained in the strongest sense. You may wanna take notes.

Also, my hope is that if I don’t fuck it up, this can also provide as a reference system of definition for some of the hotheaded discussions here sometimes.

I have a topical outline for the first 50 day which goes roughly like:
1. a word on syntax, a word on types, a word on how those are used to set up computation, then some logic (intuitionistic propositional => classic propositional => predicate), cats in a type theory, a little bit of category basics, how the latter are used to reflect on types and logic
2. then set axioms in predicate logic, followed by set basics, functions, universes
3. SET and what the previous definitions are in it
4. models for arithmetic and the continuum
5. definitions of various kinds of relevant functions, up to analysis definitions
….
x. ODE’s
…
y. Entropy
…
z. Feynamn path integrals
Any takers?
Any suggestions?

>> No.7564439

>>7564265
yes please

>> No.7564487

>>7564265
Sounds nice, and a bit spooky. Honestly, you gotta be some Ūbermensch to pull that off.