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re: Define “five” without using the word “five” or another number
Posted on 3/28/19 at 9:03 pm to hojo
Posted on 3/28/19 at 9:03 pm to hojo
quote:
that's defining five as a quantity and a specific quantity equal to the number of fingers on a typical hand
That’s like defining “pen” as “The thing I put inside this box. I know I put a pen in here, so therefore I can define ‘pen’ as the thing inside this box.”
5 exists even if hands did not, just as “pen” exists even if it’s not inside the box. Define 5 for what it actually is.
1
Posted on 3/28/19 at 9:14 pm to Jon Ham
Yes, five exists even if fingers on hands do not, and yet the fingers on a hand are still a physical manifestation of five. Much of how we explain intangible concepts like numbers is done by finding their inherent representation in tangible items. You can semantically argue all day whether or not this truly "defines" the number, but it is a true representation of the quantitative concept.
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