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Ideas for 'Philosophy of Mathematics', 'Philosophical Theology' and 'Virtues of the Mind'

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2 ideas

2. Reason / D. Definition / 2. Aims of Definition
Precision is only one of the virtues of a good definition [Zagzebski]
     Full Idea: Precision is but one virtue of a definition, one that must be balanced against simplicity, elegance, conciseness, theoretical illumination, and practical usefulness.
     From: Linda Trinkaus Zagzebski (Virtues of the Mind [1996], III 2.1)
     A reaction: Illumination looks like the dream virtue for a good definition. Otherwise it is just ticked as accurate and stowed away. 'True justified belief' is a very illuminating definition of knowledge - if it is right. But it's not very precise.
2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
     Full Idea: Definitions are called 'predicative', and are considered sound, if they only refer to entities which exist independently from the defined collection.
     From: Leon Horsten (Philosophy of Mathematics [2007], §2.4)