Mathematicians flailing around in a swamp of confusion about the truth of the Continuum Hypothesis: https://en.wikipedia.org/wiki/Continuum_hypothesis#Arguments_for_and_against_the_CH_axiom …
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Isn't this also true of the Axiom of Choice?
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Yes, it is! Also proved by Cohen using similar methods.
End of conversation
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1/2 Even better to state *precisely* how context changes our ideas of truth. Category theory and Topos theory go some way towards that aim
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2/2 as homotopic ideas infiltrate our notions of foundations, we will find that fluidity is more central to math than certainty
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There is no context to which contexts the hypothesis applies to. You go up one level, then stop.
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