|Abstract||This essay is an attempt to sketch the evolution of type theory from its beginnings early in the last century to the present day. Central to the development of the type concept has been its close relationship with set theory to begin with and later its even more intimate relationship with category theory. Since it is effectively impossible to describe these relationships (especially in regard to the latter) with any pretensions to completeness within the space of a comparatively short article, I have elected to offer detailed technical presentations of just a few important instances|
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
|Through your library||Only published papers are available at libraries|
Similar books and articles
Jerome Frazee (1990). A New Symbolic Representation for the Algebra of Sets. History and Philosophy of Logic 11 (1):67-75.
Stephen H. Voss & Charles Sayward (1980). The Structure of Type Theory. Journal of Philosophy 77 (5):241-259.
Colin McLarty (1991). Axiomatizing a Category of Categories. Journal of Symbolic Logic 56 (4):1243-1260.
Siegfried Gottwald (2006). Universes of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part II: Category Theoretic Approaches. Studia Logica 84 (1):23 - 50.
Siegfried Gottwald (2006). Universes of Fuzzy Sets and Axiomatizations of Fuzzy Set Theory. Part I: Model-Based and Axiomatic Approaches. [REVIEW] Studia Logica 82 (2):211 - 244.
Asaf Kedar (2007). Ideal Types as Hermeneutic Concepts. Journal of the Philosophy of History 1 (3):318-345.
Andrew M. Pitts & Paul Taylor (1989). A Note on Russell's Paradox in Locally Cartesian Closed Categories. Studia Logica 48 (3):377 - 387.
Adam Obtułowicz (1989). Categorical and Algebraic Aspects of Martin-Löf Type Theory. Studia Logica 48 (3):299 - 317.
Charles Sayward (1978). Strawson on Categories. Journal of Critical Analysis 7 (3):83-87.
Debi Roberson & Catherine O'Hanlon (2005). How Culture Might Constrain Color Categories. Behavioral and Brain Sciences 28 (4):505-506.
Added to index2012-09-06
Total downloads15 ( #85,901 of 722,742 )
Recent downloads (6 months)4 ( #20,344 of 722,742 )
How can I increase my downloads?