Parts and Partitions

Theoria 66 (1):41-82 (2000)
Our object is to study the interaction between mereology and David Lewis’ theory of subject-matters, elaborating his observation that not every subject matter is of the form: how things stand with such-and-such a part of the world. After an informal introduction to this point in Section 1, we turn to a formal treatment of the partial orderings arising in the two areas – the part-whole relation, on the one hand, and the relation of refinement amongst partitions of the set of worlds, on the other. We emphasize a certain duality, formulated in and in Section 2, between the corresponding lattice operations – mereological joins with partition-lattice meets, mereological meets with partition-lattice joins. Section 3 presents some issues that are raised by consideration of the informally familiar idea of logical subtraction. These include, in particular, a problem about the need for a notion of independence different from the usual logical notion going by that name. The apparatus of Section 2 promises to throw some light on this problem, as we indicate in Section 4. Section 5 ties up some loose ends and suggests an area in which further work would be desirable
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2008
DOI 10.1111/j.1755-2567.2000.tb01144.x
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 25,651
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA
Parts and Differences.Stephen Yablo - 2016 - Philosophical Studies 173 (1):141-157.
Investigations Into a Left-Structural Right-Substructural Sequent Calculus.Lloyd Humberstone - 2007 - Journal of Logic, Language and Information 16 (2):141-171.
What Difference Might and May Make.Gerhard Nuffer - 2015 - Synthese 192 (2):405-429.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

75 ( #66,407 of 2,143,474 )

Recent downloads (6 months)

18 ( #25,353 of 2,143,474 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums