Richard_Hollerith comments on Possibility and Could-ness - Less Wrong
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I consider that an accurate summary of Eliezer's original post (OP) to which these are comments.
Will you please navigate to this page and start reading where it says,
You need read only to where it says, "Markos Sophisticus Maximus".
Those six paragraphs attempt to be a reductive exposition of the concept of whole number, a.k.a., non-negative integer. Please indicate whether you have the same objection to that exposition, namely, that the exposition treats of the number of pebbles in a bucket and therefore circularly depends on the concept of number (or whole number).