Date: Feb 4, 2013 6:10 PM
Author: Robert Hansen
Subject: Re: Proving a definition of multiplication (wrong) by induction


On Feb 4, 2013, at 5:51 PM, Dave L. Renfro <renfr1dl@cmich.edu> wrote:

> In a formal treatment one would clear up any possible ambiguity
> that arises in the use of a term such as this. To me, it's a
> simple matter of writing
>
> a + a + a + ... + a


Indexing also shows up in board games, like do you start counting on the square you are on, or the next one. I remember my son's confusion (when he was 5). You actually NEED this ambiguity early on in order to distinguish differences in context. It is a critical and essential part of higher level reasoning that should be embraced.

Bob Hansen