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Re: [ontolog-forum] Axiomatic ontology

To: "[ontolog-forum] " <ontolog-forum@xxxxxxxxxxxxxxxx>
From: Christopher Menzel <cmenzel@xxxxxxxx>
Date: Mon, 22 Sep 2008 10:49:59 -0500
Message-id: <0D5D0006-E3D6-47E1-91C3-932CE410A64F@xxxxxxxx>

"Well you did ask," :-) I could say that studies show that singing to my plants (music, gardening and botany) helps them grow. On a more serious note I would like a good intro to category theory as you have defined it here pertaining to math: "Category theory is a branch of pure mathematics, a kind of ultimate abstraction of algebra, which focusses on systems ('categories') defined by mappings".

Rob Goldblatt's Topoi: The Categorical Analysis of Logic is a good place to start.  It's written in a friendlier style than most introductions.  It's focus is specifically on the application of category theory to logic, but it does provide a general overview of category theory.  The book asssumes the reader already knows a good bit of mathematical logic and set theory.  Conceptual Mathematics: A First Introduction to Categories by Schanuel and Lawvere is often cited as a place to start, but I myself found this book very hard.  You might also give the Wikiversity course a look.


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