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Topic: [HM] Abstracted Ratio.
Replies: 2   Last Post: Aug 12, 2006 11:01 AM

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Robert (Bob) Eldon Taylor

Posts: 101
Registered: 12/3/04
[HM] Abstracted Ratio.
Posted: Jul 22, 2006 10:02 AM
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Dear Julio and All,

In Universal Arithmetick Newton says: "By Number we understand not so
much a Multitude of Unities, as the abstracted Ratio of any Quantity, to
another Quantity of the same Kind, which we take for Unity. "

What am I to understand by the word "abstracted"?

I mean something like this: points and lines are said to be abstracted
from dots, pebbles, sticks, sunbeams, etc. Multitudes of unities from
multitudes of things, herds of cows, stacks of coins, etc. But how is a
ratio an abstraction at all?

Regards,
Bob Taylor




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