In the paradox of Achilles and the tortoise, Achilles is in a footrace with the tortoise. Achilles allows the tortoise a head start of 100 meters, for example. If we suppose that each racer starts running at some constant speed (one very fast and one very slow), then after some finite time, Achilles will have run 100 meters, bringing him to the tortoise's starting point. During this time, the tortoise has run a much shorter distance, say, 10 meters. It will then take Achilles some further time to run that distance, by which time the tortoise will have advanced farther; and then more time still to reach this third point, while the tortoise moves ahead. Thus, whenever Achilles arrives somewhere the tortoise has been, he still has some distance to go before he can even reach the tortoise. — Huggett, Nick (2010).
In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead. — — Aristotle, Physics VI:9, 239b15
Fisrt up I want to talk about one role philosophy has in the progress of science - with a view to discovering others. My general position is the dichotomy between Philosophy and Science has been exaggerated.I am not sure what it is that you want to talk about.... — SophistiCat
Yeah, there's a misunderstanding there all right. But exactly where? Only when false premises have been identified have we been able to the escape gravitiational capture of paradigms.Your black hole question most likely belongs to the category of layman misunderstandings of complex science. — SophistiCat
The proper authorities have everything in hand - nothing to see here folks. Hmm ... like 98% of the missing mass in the unvierse it turns out. Now I'm not saying that particular solution lies in the Black Hole Paradox. But I am saying the whole field is ripe for (desperate for) a huge paradigm shift. Let's get on board that train, It's going to be a great ride!my own physics background is insufficient to answer your question ... — SophistiCat
Common sense is the view seen through the eyes of the locally accepted paradigm. Sometimes it's right, but for a long time it was common sense that the Earth was at the centre of the universe. This is kind of just what I'm trying to have a crack at here.- but from the position of common sense. — SophistiCat
Agreed, that would be hubriistic indeed. Sure, I'm curious enough about the Black Hole Question, but I really lead with it to launch a broader discussion.... you ought not assume right away that you have stumbled upon some paradigm-shattering paradox — SophistiCat
My general position is the dichotomy between Philosophy and Science has been exaggerated. — Kym
Yeah, there's a misunderstanding there all right. But exactly where? — Kym
Fisrt up I want to talk about one role philosophy has in the progress of science - with a view to discovering others. — Kym
My general position is the dichotomy between Philosophy and Science has been exaggerated. — Kym
P1: I mean... the escape velocity of a black hole exceeds the escape velocity of light, so even light can't escape. (Wow)
P2: Gravity propagates via gravitational waves which have been shown to travel at light speed
C1: Even gravity can't move fast enough to escape a black hole!
C2: Black holes do not suck — Kym
.... science originates in philosophy, and is (strictly speaking) a sub-discipline thereof. — NKBJ
The apparent paradoxical nature of something like a black hole is useful, though. It serves as a red flag saying "wait guys, we need to do some more research and theorizing here!" — NKBJ
Same reason I'm sceptical of any talk about quantum physics, btw. Someday scientists will have a reasonable explanation for the double slit experiment, but it won't be that a particle is in two absolutely separate places at the exact same time. IMO. — NKBJ
I agree with this distinction of emphasis. The "paradigms only need to work view" of science is laudable in that it allows them to crack on and get a lot of work done. It would have been tragic if Newton had spent all his time on paradoxes rather than cracking on with Principia Mathematica, especially it's Law of Universal Gravitation. At the very least this kicked off a golden age in astronomy, now the movement of the planets were predictable. In fact the very existence and location of still unobserved planets could be predicted by perturbations on those we observed.Science would say its all just models, so the paradigms only need to work. One view can only be better than another view in that pragmatic sense. Philosophy might then say it cares about what is actually the case. Which is where the two would be very strongly divided as practices. — apokrisis
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