This paper gives the logical theory of information that is developed out of partition logic in exactly the same way that Boole developed logical probability theory out of his subset logic.
Adjoints and Emergence
December 11, 2012 by
Given the importance of adjoint funtors in mathematics, it seems appropriate to look for empirical applications. The focus here is on applications in the life sciences (e.g., selectionist mechanisms) and human sciences (e.g., the generative grammar view of language).
Adjoints and Brain Functors
December 11, 2012 by
These slides define the potentially important notion of a brain functor which is a cognate of the notion of adjoint functors.
Adjoint Functors and Heteromorphisms
December 11, 2012 by
This heteromorphic theory of adjoint functors shows that all adjunctions arise from the birepresentations of the heteromorphisms between the objects of different categories.
A Theory of Adjoint Functors
December 11, 2012 by
Our focus in this paper is to present a theory of adjoint functors, a theory which shows that all adjunctions arise from the birepresentations of “chimera” morphisms or “heteromorphisms” between objects in different categories.
Category Theory and Concrete Universals
December 11, 2012 by
This old paper, published in Erkenntnis, deals with a connection between a relatively recent (1940s and 1950s) field of mathematics, category theory, and a hitherto vague notion of philosophical logic usually associated with Plato, the self-predicative universal or concrete universal.
Concrete Universals in Category Theory
December 11, 2012 by
This old essay deals with a connection between a relatively recent (1940s and 1950s) field of mathematics, category theory, and a hitherto vague notion of philosophical logic usually associated with Plato, the self-predicative universal or concrete universal.
Introduction to Series-Parallel Duality
December 11, 2012 by
This is an introduction to the mathematics of series-parallel duality which shows many unexpected applications.
Mathematics of Real Estate Appraisal
December 11, 2012 by
This paper on the math of real estate appraisal is my most downloaded paper on the SSRN site! Hence I might as well make it available here too. It is a long discourse on the mathematics of compounding and discounting.
Mathematics of Double Entry Bookkeeping
December 11, 2012 by
This is a scan of the first publication in a mathematics journal of the mathematical treatment of double-entry bookkeeping using the group of differences construction.