Objects, Models, Theories

Post   : Objects, Models, Theories : 1
URL    : http://inquiryintoinquiry.com/2013/09/10/objects-models-theories-1/
Posted : September 10, 2013 at 10:00 am
Author : Jon Awbrey

Happy Birthday, Charles Sanders Peirce❢ — September 10, 1839

Re: Three Types of Mathematical Models
At: http://egtheory.wordpress.com/2013/09/08/mathematical-models/

Comment 1
---------

In talking of models we often find denizens of different disciplines talking at cross purposes
to one another.  Logicians use the word to describe what we might call “logical models”, saying
that a model is whatever satisfies a theory, anything that a theory holds true of, and this is
the sense they use in the logical subject of “model theory”.  Almost everyone else uses the
word to describe what we might call “analogical models”, analogues being things that share
enough properties with other things that learning about Thing 2 (the analogue system) can
teach us about Thing 1 (the object system).  It is actually not difficult to integrate
the dual senses of the word “model” into a coherent picture of the whole situation,
namely, the triadic relationship among objects, analogues, and theories.

Comment 2
---------

I'm presently in the middle of some very tedious work and will have to
keep my nose to the grindstone for fear of never working up the fortitude
to face it again, so for now I'll just link to some very rough notes and
hope for a chance to give them a proper set-up later.  (Full disclosure —
I come at almost everything from a Peircean perspective.)

Inquiry and Analogy
• http://intersci.ss.uci.edu/wiki/index.php/Functional_Logic_:_Inquiry_and_Analogy

Propositions As Types
• http://intersci.ss.uci.edu/wiki/index.php/Propositions_As_Types

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