The subject is "Argument". I am looking for a text, a reference, a web
site or any combination including periodicals on this subject. The
idea is to find out all forms of argument from the Greek syllogism by
Aristotle to the modern forms of symbolic logic. Books on logic only
or rhetoric only are not broad enough. I have located 7 or 8 forms in
a range of different texts. There must be a great many more given the primary 
use of Argument in Law, Philosophy and Theology.

Larry,

Interesting question!  Here are some resources on Arguments of all
stripes and colors:



http://www.iep.utm.edu/a/argument.htm
The Internet Encyclopedia of Philosophy
Argument



http://www.iep.utm.edu/d/ded-ind.htm
The Internet Encyclopedia of Philosophy
Deductive and Inductive Arguments


http://www.iep.utm.edu/v/val-snd.htm
The Internet Encyclopedia of Philosophy
Validity and Soundness


http://www.bartleby.com/65/sy/syllogis.html
The Columbia Encyclopedia
syllogism


http://www.bartleby.com/65/fa/fallacy.html
The Columbia Encyclopedia
fallacy


http://www.bartleby.com/65/in/induct-log.html
The Columbia Encyclopedia
induction, in logic


http://www.bartleby.com/65/lo/logic.html
The Columbia Encyclopedia
logic


://www.google.com/search?sourceid=navclient&ie=UTF-8&rls=GGLG,GGLG:2006-22,GGLG:en&q=define%3Aargument
Definitions of argument on the Web:
[visit link for a number of definitions of the term, as well as links
to related terms:  closing argument, infant industry argument, oral
argument, ontological argument,  ad hominem argument, teleological
argument, cosmological argument, argument from design, deductive
argument, inductive argument]



http://www.sussex.ac.uk/languages/1-6-8-2-3.html#arg
What is an Argument?


http://www.sussex.ac.uk/languages/1-6-8-5-11.html
Argument: Logic - Analysis - Criticism



Lastly, there is this book considered the classic in the field:

http://www.amazon.com/gp/reader/0521534836/ref=sib_dp_top_toc/104-2782713-0251925?ie=UTF8&p=S006#reader-link
The Uses of Argument 
Stephen E. Toulmin 


Toulmin's work covers the topic of "Argument" from the point of view
of logic, history, law, science, math, jurisprudence, and numerous
other disciplines.


Note that you can view some pages from the book at the Amazon site,
and can also thumb through it using the Search Inside the Book
feature, which is available to all registered users at Amazon.com


I trust this information fully answers your question.

However, please don't rate this answer until you have everything you
need.  If there's anything more I can do for you, just post a Request
for Clarification, and I'm happy to assist you further.

pafalafa-ga


search strategy -- Searched Google, Google Scholar, and several
bookmarked reference sites for [ argument ]

Here's a start; the Stanford Encyclopedia entry on Aristotle's logic,
with the forms of the syllogism:

http://plato.stanford.edu/entries/aristotle-logic/

(I'm not a researcher, so this is a free comment.)

Have you tried searching Google with:   define:argument

You will get about 25 definitions with links to the sources, and at
the top of the page there are links to "related phrases" that included
"argument".