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Wednesday, July 25, 2018

What is a number?

 

Photo source: Wikimedia Commons, Main Department of Transportation

 

What is a number? Here is my definition:

 

A number is a word that represents a quantity of units

 

I believe that quantity is a fundamental aspect of numbers. I can't imagine a single number that doesn't represent a quantity. Maybe a mathematician could prove me wrong, but I don't see how a number could represent a quality instead of a quantity.

 

I also believe that numbers are objective. Think of the number 2. To establish the definition of 2, we can point to groupings of 2. In this regard, the meaning of 2 can be clearly differentiated from the meaning of 3. For this reason, I believe that numbers have an unmistakable meaning.

 

 

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