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Single Idea 12848

[filed under theme 4. Formal Logic / G. Formal Mereology / 4. Groups ]

Full Idea

Groups may coincide in membership without being identical - extensionality goes.

Gist of Idea

The same members may form two groups

Source

Peter Simons (Parts [1987], 4.9)

Book Ref

Simons,Peter: 'Parts: a Study in Ontology' [OUP 1987], p.168

A Reaction

Thus an eleven-person orchestra may also constitute a football team. What if a pile of stones is an impediment to you, and useful to me? Is it then two groups? Suppose they hum while playing football? (Don't you just love philosophy?)

The 3 ideas with the same theme [collections of individuals with a unifying concept]:

12846 A 'group' is a collection with a condition which constitutes their being united [Simons]
12848 The same members may form two groups [Simons]
12861 'The wolves' are the matter of 'the pack'; the latter is a group, with different identity conditions [Simons]