Jaime Rudas's latest activity
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Jaime Rudas replied to the thread Undergrad Is infinity a necessary concept?.In this regard, I seem to recall that a 2-sphere is a finite but unbounded space -
Jaime Rudas replied to the thread Undergrad Is infinity a necessary concept?.Actually, no. As early as the mid-18th century, Immanuel Kant and Thomas Wright proposed the "island universes" hypothesis—the idea that... -
Jaime Rudas replied to the thread Undergrad Is infinity a necessary concept?.No, it isn't. According to the Big Bang theory, the universe could be either finite or infinite. -
Jaime Rudas replied to the thread Undergrad Is infinity a necessary concept?.Could you cite reliable sources that state that? -
Jaime Rudas replied to the thread Undergrad Is infinity a necessary concept?.How do you know it isn't? -
Jaime Rudas reacted to Dale's post in the thread Undergrad Is infinity a necessary concept? with
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I would say that the most fundamental concept in mathematics is the natural numbers. And since the set of all natural numbers is... -
Jaime Rudas reacted to Ibix's post in the thread Undergrad Does the steady-state model resolve Olbers' paradox? with
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It wouldn't surprise me if it's possible to construct such a "bright sky" FLRW model - I already argued that the Einstein static... -
Jaime Rudas reacted to PeterDonis's post in the thread Undergrad Does the steady-state model resolve Olbers' paradox? with
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Of course not. There are many expanding models that have no cosmological horizon. However, de Sitter spacetime, which is the only... -
Jaime Rudas reacted to Roberto Pavani's post in the thread Undergrad Does the steady-state model resolve Olbers' paradox? with
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It seems to me that expansion alone does not necessarily prevent light from eventually reaching us. For example, consider an expanding... -
Jaime Rudas reacted to Ibix's post in the thread Undergrad Does the steady-state model resolve Olbers' paradox? with
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Well, in that case I think the answer is as given by Bonnor - the redshift is not determined by those constraints because there isn't... -
Jaime Rudas replied to the thread Undergrad Does the steady-state model resolve Olbers' paradox?.Yes, when I mentioned the steady-state model in the original post, I assumed, perhaps mistakenly, that it would be understood that I was... -
Jaime Rudas reacted to Dale's post in the thread Undergrad Does the steady-state model resolve Olbers' paradox? with
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This is clearly false. An obvious counterexample is Newtonian spacetime. It is homogenous and isotropic but is not described by any... -
Jaime Rudas replied to the thread Undergrad Does the steady-state model resolve Olbers' paradox?.I believe the issue stems from the historical sequence of events. In 1922, Friedman found solutions to Einstein's field equations under... -
Jaime Rudas replied to the thread Undergrad Does the steady-state model resolve Olbers' paradox?.I'm not claiming that, Bonnor is claiming that that metric is the metric of the steady-state model -
Jaime Rudas replied to the thread Undergrad Does the steady-state model resolve Olbers' paradox?.Bonnor does make the claim that that metric is the metric of the steady-state model, and at no point does he link this statement to...