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Single Idea 14984

[filed under theme 4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology ]

Full Idea

Should our fundamental theory of part and whole take 'part' or 'overlap' as primitive?

Gist of Idea

Which should be primitive in mereology - part, or overlap?

Source

Theodore Sider (Writing the Book of the World [2011], 02.3)

Book Ref

Sider,Theodore: 'Writing the Book of the World' [OUP 2011], p.13

Related Idea

Idea 12826 Sum: the sum of individuals is what is overlapped if either of them are, written 'x + y' [Simons]


The 9 ideas with the same theme [basic principles for reasoning about parts and wholes]:

A part of a part is a part of a whole [Hobbes]
y is only a proper part of x if there is a z which 'makes up the difference' between them [Yablo]
We might combine the axioms of set theory with the axioms of mereology [Fine,K]
Which should be primitive in mereology - part, or overlap? [Sider]
Two standard formalisations of part-whole theory are the Calculus of Individuals, and Mereology [Simons]
Classical mereology doesn't handle temporal or modal notions very well [Simons]
The part-relation is transitive and asymmetric (and thus irreflexive) [Simons]
Each wheel is part of a car, but the four wheels are not a further part [Simons]
Extensional mereology needs two definitions and two axioms [Hossack]