Date: Feb 1, 2013 11:09 PM
Author: Jonathan J. Crabtree
Subject: Re: Proving a definition of multiplication (wrong) by induction

> Dave wrote in part...

I don't see anything of a mathematical concern here. You're simply arguing over the English-language meaning of the phrase "a added to a b times".

Hello again Dave.

Thank you again for your contribution. I really appreciate it.

In the following;

"ab = a added to itself b times" or
"ab = a added to a b times"

...the ambiguity about what 'times' refers to is really the essence of any confusion with definitions involving multiplication.

So to clarify, are you stating that in formal definitions, the word 'times' refers to the count of addends, or binary additions?

Thank you again.