|Abstract||The success of set theory as a foundation for mathematics inspires its use in arti cial intelligence, particularly in commonsense reasoning. In this survey, we brie y review classical set theory from an AI perspective, and then consider alternative set theories. Desirable properties of a possible commonsense set theory are investigated, treating di erent aspects like cumulative hierarchy, self-reference, cardinality, etc. Assorted examples from the ground-breaking research on the subject are also given.|
|Keywords||No keywords specified (fix it)|
|Categories||No categories specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
F. A. Muller (2001). Sets, Classes, and Categories. British Journal for the Philosophy of Science 52 (3):539-573.
Makmiller Pedroso (2009). On Three Arguments Against Categorical Structuralism. Synthese 170 (1):21 - 31.
A. Weir (1998). Naïve Set Theory is Innocent! Mind 107 (428):763-798.
Steve Awodey (2008). A Brief Introduction to Algebraic Set Theory. Bulletin of Symbolic Logic 14 (3):281-298.
Paul Strauss (1991). Arithmetical Set Theory. Studia Logica 50 (2):343 - 350.
Added to index2009-01-28
Total downloads6 ( #145,761 of 549,753 )
Recent downloads (6 months)0
How can I increase my downloads?