Peircers,
Category theory, along with its applications to logic and computation, has been a recurrent subject
of discussion in many online groups over the last 15 years or so, just since I came online, anyway.
Here are excerpts from basic texts that served as springboards and resources for these groups, along
with a few bits of associated commentary and discussion, that I archived at the InterSciWiki site.
Perhaps a few readers on the Peirce will find these of use by way of informing their discussions.
Excerpts from Saunders Mac Lane (1971/1997), ''Categories for the Working
Mathematician''
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☞http://intersci.ss.uci.edu/wiki/index.php/User:Jon_Awbrey/Mathematical_Notes#CAT._Category_Theory
☞http://intersci.ss.uci.edu/wiki/index.php/User:Jon_Awbrey/Mathematical_Notes#CAT._Category_Theory_.E2.80.A2_Discussion
Excerpts from J. Lambek and P.J. Scott (1986), ''Introduction To Higher Order
Categorical Logic''
=================================================================================================
☞http://intersci.ss.uci.edu/wiki/index.php/User:Jon_Awbrey/Mathematical_Notes#HOC._Higher_Order_Categorical_Logic
☞http://intersci.ss.uci.edu/wiki/index.php/User:Jon_Awbrey/Mathematical_Notes#HOC._Higher_Order_Categorical_Logic_.E2.80.A2_Discussion
Regards,
Jon
Jeffrey Brian Downard wrote:
Jerry, List,
We might add that category theory, as it has been developed in mathematics in the 20th century, is a generalization upon the conception of a mathematical group. Peirce was quite familiar with Klein's use of group structure as a basis for exploring the relations between different areas of mathematics. As such, we should not assume that the general idea of what is involved in the conception of mathematical category is entirely foreign to Peirce.
Jeff
Jeff Downard
Associate Professor
Department of Philosophy
NAU
(o) 523-8354
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