Introduction to the Logic of Definitions

In International Workshop on Definitions in Ontologies, organized in conjunction with the Fourth International Conference on Biomedical Ontology (ICBO), Montreal, July 7, 2013, (CEUR, 1061). pp. 1-2 (2013)
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Abstract

What follows is a summary of basic principles pertaining to the definitions used in constructing an ontology. A definition is a statement of necessary and sufficient conditions. What this means in the simplest case can be understood as follows. To say that ɸ‐ing is a necessary condition for being an A is just another way of saying that every A ɸ’s; to say that ɸ‐ing is a sufficient condition for being an A is just another way of saying that everything that ɸ’s is an A. The goal in writing a definition is to specify a set of conditions of this sort which are all necessary, and which are jointly sufficient.

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Barry Smith
University at Buffalo

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