1998-09-21 - Peano Algebra and it’s base theorem

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From: Jim Choate <ravage@einstein.ssz.com>
To: cypherpunks@einstein.ssz.com (Cypherpunks Distributed Remailer)
Message Hash: 3dbb8d5f4831c131c76f7f08cc4467affcb2806944e9fe08201bb5b89ea6c6c1
Message ID: <199809221242.HAA02351@einstein.ssz.com>
Reply To: N/A
UTC Datetime: 1998-09-21 23:14:46 UTC
Raw Date: Tue, 22 Sep 1998 07:14:46 +0800

Raw message

From: Jim Choate <ravage@einstein.ssz.com>
Date: Tue, 22 Sep 1998 07:14:46 +0800
To: cypherpunks@einstein.ssz.com (Cypherpunks Distributed Remailer)
Subject: Peano Algebra and it's base theorem
Message-ID: <199809221242.HAA02351@einstein.ssz.com>
MIME-Version: 1.0
Content-Type: text



Peano Algebra's are based on the following:

If a unary predicate P holds for 0, and if P holds, together with an element
x, also for it's succesor x', then P  holds for all natural numbers.

The question under consideration is NOT an attempt to describe a language in
a Sigma structure/algebra/model. We are NOT trying to analyze the language
but rather a specific mathematical statement made IN that language.

They are not the same problem and hence Peano Algebra's do NOT apply.

Nice straw man, I had to drag a math book out to refresh what a Peano
Algebra was (don't think I've ever had to deal with one).


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