Notes on logic
| Abstract | We are all familiar with the idea of a set, also called a class or collection. As examples, we may consider the set of all coins in one's pocket, the set of all human beings, the set of all planets in the solar system, etc. These are all concrete sets in the sense that the objects constituting them—their elements or members—are material things. In mathematics and logic we wish also to consider abstract sets whose members are not necessarily material things, but abstract entities such as numbers, lines, ideas, names, etc. We shall use the term set to cover concrete and abstract sets, as well as sets which contain a mixture of material and abstract elements. | |||||||||
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Similar books and articlesWolfgang Maass (1982). Recursively Enumerable Generic Sets. Journal of Symbolic Logic 47 (4):809-823.
Andrej Nowik, Marion Scheepers & Tomasz Weiss (1998). The Algebraic Sum of Sets of Real Numbers with Strong Measure Zero Sets. Journal of Symbolic Logic 63 (1):301-324.
José Ferreirós (2011). On Arbitrary Sets and ZFC. Bulletin of Symbolic Logic 17 (3):361-393.
John P. Burgess (1988). Sets and Point-Sets: Five Grades of Set-Theoretic Involvement in Geometry. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:456 - 463.
P. T. Johnstone (1987). Notes on Logic and Set Theory. Cambridge University Press.
Øystein Linnebo (2010). Pluralities and Sets. Journal of Philosophy 107 (3):144-164.
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