Nugatory's latest activity
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Nugatory replied to the thread High School Why the bottom of a rolling wheel has zero velocity.That one confused me for a moment, and then I realized why it had to be specifically a "train" wheel - the flange extends below the... -
Nugatory replied to the thread High School What if we could use a Black Hole as starship?.Depends on what you mean by “sure”? The best current theory we have is General Relativity, and it says that a black hole of mass M has...
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Nugatory reacted to wrobel's post in the thread Undergrad Is infinity a necessary concept? with
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We say that ##f(x)\to C## as ##x\to \infty## if for any positive number ##\varepsilon## there exists ##B## such that the inequality... -
Nugatory replied to the thread Graduate Time evolution of a detected particle.Not quite. We need to consider the resolution of our position-measuring apparatus. That resolution is not infinite, so the result of a...
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Nugatory reacted to FactChecker's post in the thread Undergrad Is infinity a necessary concept? with Like.
Even with analytic continuation, I doubt that there is any legitimate expansion at a point that allows that conclusion.
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Nugatory reacted to Matterwave's post in the thread Undergrad Is infinity a necessary concept? with Like.
If by logical difficulties you mean logical contradictions then yes. We build our systems of mathematics on the principle that we can't...
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This is often true even in number systems like the hyperreals that actually do have infinite numbers.
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Nugatory replied to the thread Undergrad Is infinity a necessary concept?.There isn’t any single “the concept” of infinity in math. There are multiple concepts, all of which have rigorous definitions that...
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Nugatory replied to the thread Undergrad Self-reference problem in MWI (13yo amateur, be gentle).”All branches exist” isn’t quite right, it’s better to say that there is a branch for every possible outcome, but violating the laws of...