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joeldavidhamkins's top posts of the month

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joeldavidhamkins 6 likes 13 Jan 23
Unexpected difficulties in a practical measurement problem challenged fundamental conceptions of length and led to a new theory of dimension, while revealing monsters lurking at small scales.
joeldavidhamkins 3 likes 19 Jan 23
Is it perfectly sensible or fundamentally incoherent to speak of completing a task with infinitely many steps?
joeldavidhamkins 0 likes 04 Feb 23
The hotel is full, yet nevertheless can accommodate new guests, even infinitely many new guests. Thus the parable of Hilbert's Grand Hotel illuminates the nature of countable infinity.