cianfa72's latest activity
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Just to reiterate what you said. Suppose in the context of ZF set theory (i.e. without throwing in the AC) there was some way to prove... -
cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Sorry, does what discussed above have anything to do with Godel's incompleteness theorems?
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cianfa72 reacted to Ibix's post in the thread B Einstein-Poincare Clock Synchronization Convention with
Like.
I agree with both @pervect and @Orodruin, about the importance of clock synchronisation to relativity (or lack of importance). But it's... -
cianfa72 reacted to PeroK's post in the thread I Synchronizing clocks in an inertial frame if light is anisotropic with Like.
Not really. You just need a synchronization procedure. That defines the 1wsol. There are no physical assumptions, per se, in defining...
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cianfa72 reacted to Ibix's post in the thread I Synchronizing clocks in an inertial frame if light is anisotropic with Like.
No you aren't. Dividing the round trip time by two and assuming that is the appropriate clock offset is an assumption of isotropic light...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Let me check my understanding. Consider the statement "R over Q doesn't have an Hamel basis". Is it true ? Who knows, what we can say is...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Sorry, the point I'm having trouble in understanding is that, I believe, ##\mathbb R_\mathbb Q## for instance either has or has not an...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Ah ok. Basically your are saying that to pick a basis for ##\mathbb R_\mathbb Q## without assuming AC as True you can't. However that...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Not sure to get the point. From the iff implication the existence of Hamel basis is equivalent to AC is True. Maybe the key point is...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.The above ##A \Leftrightarrow B## is a if and only if (iff). I'm not sure how it fits in the discussion.
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cianfa72 replied to the thread B Trying to calculate proper time of worldlines using rotating frames.Yes, as others said you can use Born chart for Minkowski spacetime in which the Langevin observers are at rest. Their worldlines form...
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cianfa72 replied to the thread I About the existence of Hamel basis for vector spaces.Ah ok. So your claim is that every vector has an Hamel basis even though it can't proved without assuming the Axiom of Choice (AC)...
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cianfa72 posted the thread I About the existence of Hamel basis for vector spaces in Linear and Abstract Algebra.It is well known that a vector space always admits an algebraic (Hamel) basis. This is a theorem that follows from Zorn's lemma based on...
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cianfa72 replied to the thread I Follow-up Einstein Definition of Simultaneity for Langevin Observers.Thinking about it, based on what explained here, I believe the key point is as follows. The Langevin frame field has as timelike unit...
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You can measure proper acceleration locally. Put a mass on a spring balance held at rest with respect to you. Does it register weight...