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• 1+2+3 is a sum, using sum as a noun to describe a sequence of mathematical symbols, esp. using the + sign. You may continue to argue that it is 2 sums, and
Message 1 of 16 , Apr 21, 2002
1+2+3 is a sum, using sum as a noun to describe a sequence of mathematical
symbols, esp. using the + sign.

You may continue to argue that it is 2 sums, and ignore it's abelian
properties if you must, but you know, I think most people stopped listening
to you a while ago, so I doubt it will make any difference.

Jon Perry
perry@...
http://www.users.globalnet.co.uk/~perry/maths
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-----Original Message-----
From: Phil Carmody [mailto:thefatphil@...]
Sent: 20 April 2002 10:54

--- Jon Perry <perry@...> wrote:
> Yes, but all I argued was that the + symbol that we all know and
> love to
> little bits requires 2 (two) operands.
>
> It was you who decided that once they had thought of the, admitedly
> immense,
> idea of invoking a sum{} operator, that the + operator that we all
> grew up
> with was now defunct in purpose, and should immediately be
> superceded
> (superseded for our American friends).
>
> As to my claim that 1+2+3 is a single sum, I didn't.

That's not my memory of the exchange. I rampantly delete e-mails, and
almost never keep mails I send, so there's no evidence either way.

> I actually said that 1+2+3 is permissible as a sum

'a' sum? How many would that be then?
The version of the language (English) that I use marks the definite
article 'a' with the number 'one'.

You know, I don't think my memory was flawed at all.

[rewinding]
> I actually said that 1+2+3 is permissible as a sum
> using only the +
> operator.

When applied twice.
So is "1" using zero applications of the operator.
Why can't you count to zero? It's less effort than you seem to think?

> The abelian nature of the formula was purely an accident.

Abelian is irrelevant.
I think you mean /associative/ rather than abelian, an instead of
/purely an accident/ you mean /absolutely necessary in order to be
unambiguous/.

Phil

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