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FactChecker reacted to mathwonk's post in the thread Undergrad The natural numbers and logical consequences of them with
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the fact that the natural numbers contain an infinite number of disjoint infinite subsets, implies for the arithmetic of infinite... -
FactChecker reacted to Nugatory's post in the thread Undergrad Question about entanglement and relative causality with
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I cannot prove that that claim is wrong, but that doesn’t mean that I have to accept it. Causality is such a useful organizing... -
FactChecker replied to the thread Undergrad The natural numbers and logical consequences of them.The development of physics and mathematics have gone hand-in-hand for hundreds of years. "Pure" math is pure until it is applied to... -
FactChecker reacted to sophiecentaur's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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You will remember the quote "Let there be light." Well - Genesis seems to have got that bit right!! It's now an established idea that... -
FactChecker reacted to haruspex's post in the thread Undergrad The natural numbers and logical consequences of them with
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Operations like addition and multiplication are only defined for numbers, which are necessarily finite. What if we try to extend those... -
FactChecker replied to the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage?.As a casual amateur, I like the analogy of a stone thrown into water. It could be continued to the waves hitting sand on the shore. If... -
FactChecker reacted to Ibix's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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Yes, in principle you can use the electric component of light to push a current on a circuit. Light oscillates too fast for us to do... -
FactChecker reacted to berkeman's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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Not so much "travel on", more like "are influenced by". For the electrons in the metal of an antenna, the EM wave that passes the... -
FactChecker reacted to sevensages's post in the thread Undergrad Our Mathematical Universe book -- Since when does light contain voltage? with
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I am currently reading Max Tegmark's book Our Mathematical Universe. Some of you are probably familiar with this book. On page 167... -
FactChecker reacted to jedishrfu's post in the thread Agentic-AI/LLM 'misbehavior' or 'going rogue' with
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I can just see the time when the agent manages your work computer sees an April Fools joke and proceeds to reorganize and delete... -
FactChecker replied to the thread Agentic-AI/LLM 'misbehavior' or 'going rogue'.IMHO: LLM = "Garbage in, garbage out." Agentic AI/LLMs = automatic, unreviewed actions based on garbage. -
FactChecker replied to the thread Undergrad The natural numbers and logical consequences of them.That is where "infinity" begins. It is the size of the smallest infinite set. It's size is denoted by ##\aleph_0##. There are larger... -
FactChecker reacted to Roberto Pavani's post in the thread High School A question about special relativity with
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A.T. gave an excellent answer in post #2, but perhaps the original question was even simpler than we made it: if a clock moves fast... -
FactChecker replied to the thread An AI to Write Data Analysis and Modeling Programs.A real problem with AI-generated code would be verification. Generated code is often very hard for a human to read and review. If the...