And of course, I’m talking to a guy with an especially exacting definition of “truth” (100% certainty about the territory)- I could use an LW post that succinctly discusses the role and definition of truth, there.
That’s a great essay—not only does it have a detailed history of the refinement of various scientific concepts, it’s got a sketch of the idea of guessing the teacher’s password with some clues about what better teaching would look like.
That’s a nice essay, but it’s worth noting that Asimov misunderstands the question of Newtonian versus relativistic physics. In particular, nothing in Newtonian physics requires light to propagate instantaneously.
I think he means it in the sense that if you take relativistic equations, and substitute infinity in for c (or, more rigorously, take the limit as c goes to infinity), you will get Newtonian equations. Thus the behavior of objects at small speeds is roughly Newtonian, because c is already well on its way to infinity compared to those speeds; conversely, when an object is traveling at a rate of 0.1c, it matters greatly that c is finite.
> conversely, when an object is traveling at a rate of 0.1c, it matters greatly that c is finite.
Not that greatly: the size of most relativistic effects is v²/2c² + O(v^4) which for v = 0.1c is 0.005. I would have used a bigger number for the example, say 0.9c.
It’s not an LW post, but how about an Isaac Asimov essay instead?
That’s a great essay—not only does it have a detailed history of the refinement of various scientific concepts, it’s got a sketch of the idea of guessing the teacher’s password with some clues about what better teaching would look like.
That’s a nice essay, but it’s worth noting that Asimov misunderstands the question of Newtonian versus relativistic physics. In particular, nothing in Newtonian physics requires light to propagate instantaneously.
I think he means it in the sense that if you take relativistic equations, and substitute infinity in for c (or, more rigorously, take the limit as c goes to infinity), you will get Newtonian equations. Thus the behavior of objects at small speeds is roughly Newtonian, because c is already well on its way to infinity compared to those speeds; conversely, when an object is traveling at a rate of 0.1c, it matters greatly that c is finite.
Upon re-reading, I see that you are probably correct. Thanks!