Boat

[Boat @MyGoldIsGone]

@spikedoanz @Diego54933880 Yes it's a homomorphism, it doesnt matter what * is; call it "blob" (same for +).

It's just the statement that the map f: A -> B is a structure-preserving/respecting/whatever you want to call it-map; where you can either take the blob operation or take the + after mapping.

[Boat @MyGoldIsGone]

@MilitantAI @RBehiel You are just throwing words around.
There are no "axiomatic failures", axioms are fundamental assumptions one makes that underlie a theory and that cannot be derived from anything else. As long as the theory is self-consistent, which GR is, there are no "axiomatic failures".

[Boat @MyGoldIsGone]

@MilitantAI @RBehiel and even the concept of "velocity of the bird" or a manifold is already just "thinking / an idea". We then have to try to formulate a mathematical thought model phenomenologically and try to fit it with experiments very well.

But at the end of the day, it's just thinking.

[Boat @MyGoldIsGone]

@MilitantAI @RBehiel All of mathematics is technically an "accounting hack" for us to describe reality, so I do not see how that is a critique.

Even if we try to describe coordinate-free ("spacetime is a topological manifold with a smooth structure...), at the end of the day a bird is a bird, ...

[Boat @MyGoldIsGone]

@materiaconfess I mean it's not necessarily wrong, but also why tf are they not shielding, are they parsing - and in PF at that - already? For sorta exerienced P2 parties onward, the P1 DPS check is absolutely trivial and nothing is lost from shielding raidwides.
Absolute bozo mentality.

[Boat @MyGoldIsGone]

@gleech It is exponential! Compute = e^(Intelligence). Oh wait...

[Boat @MyGoldIsGone]

@ThomasVanRiet2 @MaxkwTet construct, but it is not the theory of our world.

And we DO want a theory in the UV.
If we don't care about UV, QFT on curved spacetime already works reasonably well (ignoring the mathematically shaky grounds of QFT).

[Boat @MyGoldIsGone]

@ThomasVanRiet2 @MaxkwTet Even if you argue the QHO is not "fundamental" or somehow emergent, you cannot argue that it describes "aspects of physical reality".

On the other hand, it is *absolutely* certain that we do not live in AdS space, or in a SUSY universe. AdS/CFT is a beautiful mathematical...

[Boat @MyGoldIsGone]

@pmddomingos @chaumian The set in this image (embedded in R^2, on which we choose the standard topology) is a topological space.

But it fails to be a topological manifold, since at the intersection there is no open neighborhood for which we can find a homeomorphism into a subset of R or R^2.

[Boat @MyGoldIsGone]

@pmddomingos @robertomasymas @chaumian There are many simple cases that already fail to be a manifold, since you cannot assign a single dimension number to them, like the set of two intersecting lines (embedded in the Euclidian plane R^2) with the subspace topology induced by standard topology of R^2.

[Boat @MyGoldIsGone]

@WKCosmo I never really liked / fully understood the difference between the first and second axiom in the force formalism.

It makes much more sense in the (Newtonian) spacetime formalism, where the first axiom defines what straight lines are (gravity is no longer considered a force).

[Boat @MyGoldIsGone]

@BenjaminSmith13 @rieszspieces I remember learning EM theory via diff. forms, the Hodge product, but we were just manipulating the symbols as a convenience, never really learning what they mean.

i think this is actually extremely counterproductive if you don't introduce it bottom up (topology, manifolds etc)

[Boat @MyGoldIsGone]

@BenjaminSmith13 @rieszspieces It is unfortunate I spent a large part of my physics undergrad really disliking mathematics (I don't mean computing integrals etc... but the proofs/more formal parts), not because of the mathematical rigor.

But because of the lack of conceptual rigor.

[Boat @MyGoldIsGone]

@jbulltard1 They are not correlated with the CPI, nor do they always anticipate inflation correctly (see 2011)

Not saying it's necessarily unjustified, but reality is always more complicated than simple declarative statements.

[Boat @MyGoldIsGone]

@LinkofSunshine @SpectreProXy you would def not, not in long dated puts since those don't have that type of upside, and while the OpenAI stake is not even 5% of market cap

idk why you would say this kind of stupid stuff

[Boat @MyGoldIsGone]

@ShaleTier7 it's sad to see a guy with that type of track record go completely off the rails

[Boat @MyGoldIsGone]

@rdd147 What does being a Physics professor have to do with anything? We are the literal physical proof that vision-only works, in real life, in the physical reality we call universe.

[Boat @MyGoldIsGone]

@ShaleTier7 be greedy when others are greedy and fearful when others are fearful 💯

[Boat @MyGoldIsGone]

@TheWealthMiner ah yes a bedrock of the Oil space