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Pastimes : Let's Talk About Our Feelings!!!
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To: Chuzzlewit who wrote (38122)5/13/1999 12:40:00 AM
From: The Philosopher  Read Replies (1) of 108807
 
Mathematics is a theoretical language. It is used to describe concepts, not things. That it has applicability to real things is a happenstance, not an integral part of the mathematics. You're confusing the two.

Certainly, the quantity of apples represented by the number 4 in base 10, the number 11 in base 3, and the number IV in Roman numbers, etc. is the same quantity of apples.

But in terms of mathematics, the number 4 base 10 and the number 11 base 3 are different numbers. That's where you are falling short.
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