David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Theoria 66 (1):41-82 (2008)
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 follow Lewis – approximately – in identifying subject-matters with such partitions.) We emphasize a certain duality, formulated in (2.6) and (2.7) 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(s) 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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Erick C. W. Krabbe (1984). Formal Systems of Dialogue Rules. Synthese 58 (2):295 - 328.
David Ellerman (2009). Counting Distinctions: On the Conceptual Foundations of Shannon's Information Theory. Synthese 168 (1):119 - 149.
Johan Benthem (1982). The Logical Study of Science. Synthese 51 (3):431 - 472.
Duygu Nizamogullari & İpek Özkal-Sanver (2011). Coalitional Stability and Efficiency of Partitions in Matching Problems. Theory and Decision 71 (3):395-407.
Michael Smithson (2011). How Many Alternatives? Partitions Pose Problems for Predictions and Diagnoses. Social Epistemology 23 (3):347-360.
David Ellerman, A Short Note on the Logico-Conceptual Foundations of Information Theory in Partition Logic.
David Ellerman (2010). The Logic of Partitions: Introduction to the Dual of the Logic of Subsets. Review of Symbolic Logic 3 (2):287-350.
Hans-Johann Glock (2010). Can Animals Judge? Dialectica 64 (1):11-33.
J. -W. Romeyn (2004). Hypotheses and Inductive Predictions. Synthese 141 (3):333-364.
A. P. Hazen & Lloyd Humberstone (2004). Similarity Relations and the Preservation of Solidity. Journal of Logic, Language and Information 13 (1):25-46.
Added to index2009-01-28
Total downloads37 ( #57,094 of 1,693,252 )
Recent downloads (6 months)3 ( #82,927 of 1,693,252 )
How can I increase my downloads?