7699
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Numbers, sets and propositions are abstract particulars; properties, qualities and relations are universals [Jacquette]
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Full Idea:
Roughly, numbers, sets and propositions are assumed to be abstract particulars, while properties, including qualities and relations, are usually thought to be universals.
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From:
Dale Jacquette (Ontology [2002], Ch. 9)
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A reaction:
There is an interesting nominalist project of reducing all of these to particulars. Numbers to patterns, sets to their members, propositions to sentences, properties to causal powers, relations to, er, something else.
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10661
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'Composition is identity' says multitudes are the reality, loosely composing single things [Varzi]
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Full Idea:
The thesis known as 'composition is identity' is that identity is mereological composition; a fusion is just the parts counted loosely, but it is strictly a multitude and loosely a single thing.
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From:
Achille Varzi (Mereology [2003], 4.3)
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A reaction:
[He cites D.Baxter 1988, in Mind] It is not clear, from this simple statement, what the difference is between multitudes that are parts of a thing, and multitudes that are not. A heavy weight seems to hang on the notion of 'composed of'.
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10647
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Parts may or may not be attached, demarcated, arbitrary, material, extended, spatial or temporal [Varzi]
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Full Idea:
The word 'part' can used whether it is attached, or arbitrarily demarcated, or gerrymandered, or immaterial, or unextended, or spatial, or temporal.
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From:
Achille Varzi (Mereology [2003], 1)
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10649
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'Part' stands for a reflexive, antisymmetric and transitive relation [Varzi]
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Full Idea:
It seems obvious that 'part' stands for a partial ordering, a reflexive ('everything is part of itself'), antisymmetic ('two things cannot be part of each other'), and transitive (a part of a part of a thing is part of that thing) relation.
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From:
Achille Varzi (Mereology [2003], 2.1)
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A reaction:
I'm never clear why the reflexive bit of the relation should be taken as 'obvious', since it seems to defy normal usage and common sense. It would be absurd to say 'I'll give you part of the cake' and hand you the whole of it. See Idea 10651.
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10654
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The parthood relation will help to define at least seven basic predicates [Varzi]
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Full Idea:
With a basic parthood relation, we can formally define various mereological predicates, such as overlap, underlap, proper part, over-crossing, under-crossing, proper overlap, and proper underlap.
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From:
Achille Varzi (Mereology [2003], 2.2)
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A reaction:
[Varzi offers some diagrams, but they need interpretation]
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