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
Stephen Yablo (forthcoming). Parts and Differences. Philosophical Studies:1-17.
Lloyd Humberstone (2007). Modal Logic for Other-World Agnostics: Neutrality and Halldén Incompleteness. [REVIEW] Journal of Philosophical Logic 36 (1):1 - 32.
Gerhard Nuffer (2015). What Difference Might and May Make. Synthese 192 (2):405-429.
Lloyd Humberstone (2007). Investigations Into a Left-Structural Right-Substructural Sequent Calculus. Journal of Logic, Language and Information 16 (2):141-171.
Similar books and articles
Erick C. W. Krabbe (1984). Formal Systems of Dialogue Rules. Synthese 58 (2):295 - 328.
J. -W. Romeyn (2004). Hypotheses and Inductive Predictions. Synthese 141 (3):333-364.
Hans-Johann Glock (2010). Can Animals Judge? Dialectica 64 (1):11-33.
David Ellerman (2010). The Logic of Partitions: Introduction to the Dual of the Logic of Subsets. Review of Symbolic Logic 3 (2):287-350.
David Ellerman (2009). A Short Note on the Logico-Conceptual Foundations of Information Theory in Partition Logic. The Reasoner 3 (7):4-5.
Michael Smithson (2011). How Many Alternatives? Partitions Pose Problems for Predictions and Diagnoses. Social Epistemology 23 (3):347-360.
Duygu Nizamogullari & İpek Özkal-Sanver (2011). Coalitional Stability and Efficiency of Partitions in Matching Problems. Theory and Decision 71 (3):395-407.
Johan Benthem (1982). The Logical Study of Science. Synthese 51 (3):431 - 472.
David Ellerman (2009). Counting Distinctions: On the Conceptual Foundations of Shannon's Information Theory. Synthese 168 (1):119 - 149.
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 downloads41 ( #81,917 of 1,726,249 )
Recent downloads (6 months)4 ( #183,615 of 1,726,249 )
How can I increase my downloads?