Types, Sets and Categories

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
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Colin McLarty (1991). Axiomatizing a Category of Categories. Journal of Symbolic Logic 56 (4):1243-1260.
Asaf Kedar (2007). Ideal Types as Hermeneutic Concepts. Journal of the Philosophy of History 1 (3):318-345.
Charles Sayward (1978). Strawson on Categories. Journal of Critical Analysis 7 (3):83-87.
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