@EmilioPisanty thx for clarification; am willing to accept some criticism of all popsci sites that they "dumb down" content and mostly rewrite press releases, sometimes not really adding a lot on top of that. however think some criticism of them is unfair. think professional scientists should not have "too much" disdain about communicating with the mass public. re that...
@dmckee a topic of major interest for me, try this, maybe some different/ novel pov, wonder what you think... The Science Gap: Jorge Cham/ Phd comics at TEDxUCLA http://phdcomics.com/tv/?v=AzcMEwAxSP8
@vzn I don't fully understand your grammar, but OK.
I'm not sure whether you're charging people in this chatroom with having "too much disdain" about communicating with the mass public.
But I'm not sure whether you realize to what extent the stuff we're asking of you is related to a perceived disdain on your part to whether the science communication is done correctly.
@EmilioPisanty there has been a lot of disdain expressed for popsci in this chat room over the yrs. but (also) theres a lot of disdain expressed in general in this chat room.
@EmilioPisanty huh, you just said sorry earlier, this isnt sounding as much like a sorry any more. :|
Say I have a basis where I have one timelike and one spacelike basis vector, forming an orthogonal set, and start with the simple (1,0) and (0,1) pair, how does that actually become useful when considering motion?
I assume I apply a lorentz transform to the space but what do I do then to actually get a result that's equivalent to just doing simpler algebra
I'm not sure why you're ridiculing them - they're very up-front about the "nPOV" being their angle of approach to everything, and they're not claiming other approaches don't exist - they're just not interested in them. And considering how little other resources like the nLab exist for non-nPOV approaches, the amount of effort that went into the nLab is impressive and it's a bit sad a similar resource doesn't exist for more "down to earth" mathy physics.
If you ask anyone who has worked his or her whole life on differential geometry whether thinking of a differential form as a n-functor on the n-path space is even a little bit useful, the answer is going to be "no".
And indeed, unraveling the definition gives you something very tautological.
@BalarkaSen So what if it may not be useful in every (or even most) cases? Why does it make it ridiculous to try and see how much of math and physics can be made to fit this general language?
It's ideological statements like "The following is effectively a derivation of, and an introduction to, classical mechanics by studying correspondences in what is called (as we will explain) the slice topos over the moduli stack of prequantum line bundles." ncatlab.org/nlab/show/prequantized+Lagrangian+correspondence that are the problem with this site
Most of it is good in that it applies ideas in general, multiple fields etc, and seems like a good idea of expressing things in one language in another etc... but then you have religion like the above peppered into it
@BalarkaSen There's a quote (I think by Lawvere or MacLane) that goes like this: "The purpose of category theory is to make the obvious obviously obvious", and this motivates a lot of the "weird" definitions they make - they're not choosing definitions that are "intuitive" or useful for applications, they choose definitions that lend themselves best to deriving theorems by nPOV techniques.
"If Hegel had written his whole logic and had written in the preface that it was only a thought experiment, he undoubtedly would have been the greatest thinker who has ever lived. As it is he is comic."
@ACuriousMind Well, right now I am trying to construct a binary operation on the set of prime numbers. I want to make it a semigroup, take it's Grothendieck completion and study it's group structure.
That's an interesting endeavor, by your logic
To the mathematical community, it's lol-able. Ask someone.
It's just smashing togather different corners and ideas of mathematics to a meaningless pile of formalism
i think the 'comedy' of nLab comes from it seeming to lose track of the 'thought experiment' it represents---namely, to what extent can physics/math be expressed from nPOV
The outrageous point of the site is not the site itself, but the fact that this alleged n point of view is giving birth to a new trend in mathematical education where people learn a bunch of abstract words and learn to throw them out without understanding the meaning behind them
Take a look at a conversation on the math chat we had an hour back; someone was asking about abelian categories and the likes without understanding/knowing that cyclic groups are not free abelian
so someone just interested in math-physics in general may not really get the premise of the site and so take it as a joke rather than an intentional thought experiment regarding nPOV
("thought experiment" is not the right word, but eh it's what i've got)
the other line which comes to mind: "The light dove cleaving in free flight the thin air, whose resistance it feels, might imagine that her movements would be far more free and rapid in airless space"
Anyway, this does not point to anything inherently wrong with nlab; the whole association with the mentality of $(\infty, n)$-point of view being the best formal viewpoint is the depressing thing in this situation.
Eg, consider Univalent Foundations/Homotopy Type Theory. Greatly advocated by a large group of people involved in the infinity business as a "formal" approach to homotopy theory. There is a series of heated exchange between Jacob Lurie and Urs Schreiber on the usefulness of this thing in a blogpost out there.
@Semiclassical Only a vague one I think - it's pretty difficult to extract good values from the lattice simulations as I understand. There might be developments I'm not aware of, though
This answer only provides a link. As such, it is not unlikely that it will be deleted, and in fact a user has already suggested that the post does not really qualify as an answer (I may presume they also flagged it as "not an answer", but I cannot know that). But the link is actually useful, so d...