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Single Idea 12849

[filed under theme 9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts ]

Full Idea

We are on stronger grounds in asserting the general existence of sums when considering pluralities and masses than when considering individuals.

Gist of Idea

Sums are more plausible for pluralities and masses than they are for individuals

Source

Peter Simons (Parts [1987], 5.2)

Book Ref

Simons,Peter: 'Parts: a Study in Ontology' [OUP 1987], p.186


A Reaction

I was thinking that the modern emphasis on referring to plurals was precisely to resist the idea that we must 'sum' them into one thing. If so, we wouldn't want to then sum several plurals. If a mass isn't a sum, how can we sum some masses?


The 22 ideas with the same theme [the concept of parts treated as one concept]:

A 'whole' (rather than a mere 'sum') requires an internal order which distinguishes it [Aristotle]
If a syllable is more than its elements, is the extra bit also an element? [Aristotle]
A body is always the same, whether the parts are together or dispersed [Hobbes]
The place of a thing is the sum of the places of its parts [Newton]
If x is ever part of y, then y is necessarily such that x is part of y at any time that y exists [Chisholm, by Simons]
In mereology no two things consist of the same atoms [Lewis]
Trout-turkeys exist, despite lacking cohesion, natural joints and united causal power [Lewis]
Given cats, a fusion of cats adds nothing further to reality [Lewis]
The one has different truths from the many; it is one rather than many, one rather than six [Lewis]
A gerrymandered mereological sum can be a mess, but still have natural joints [Lewis]
An 'aggregative' sum is spread in time, and exists whenever a component exists [Fine,K]
An 'compound' sum is not spread in time, and only exists when all the components exists [Fine,K]
If something is 'more than' the sum of its parts, is the extra thing another part, or not? [Harte,V]
What exactly is a 'sum', and what exactly is 'composition'? [Harte,V]
The problem with the term 'sum' is that it is singular [Harte,V]
Classical mereology says there are 'sums', for whose existence there is no other evidence [Simons]
'Mereological extensionality' says objects with the same parts are identical [Simons]
If there are c atoms, this gives 2^c - 1 individuals, so there can't be just 2 or 12 individuals [Simons]
Sums are more plausible for pluralities and masses than they are for individuals [Simons]
Sums of things in different categories are found within philosophy. [Simons]
Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
Absolutely unrestricted qualitative composition would allow things with incompatible properties [Paul,LA]