In Federico L. G. Faroldi & Frederik Van De Putte (eds.), Outstanding Contributions to Logic: Kit Fine. Springer (forthcoming)

Mark Jago
Nottingham University
Fine (2017a) sets out a theory of content based on truthmaker semantics which distinguishes two kinds of consequence between contents. There is entailment, corresponding to the relationship between disjunct and disjunction, and there is containment, corresponding to the relationship between conjunctions and their conjuncts. Fine associates these with two notions of parthood: disjunctive and conjunctive. Conjunctive parthood is a very useful notion, allowing us to analyse partial content and partial truth. In this chapter, I extend the notion of disjunctive parthood in terms of a structural relation of refinement, which stands to disjunctive parthood much as mereological parthood stands to conjunctive parthood. Philosophically, this relation may be modelled on the determinable- determinate relation, or on a fact-to-fact notion of grounding. I discuss its connection to two other Finean notions: vagueness (understood via precisification) and arbitrary objects. I then investigate what a logic of truthmaking with refinement might look like. I argue that (i) parthood naturally gives rise to a relevant conditional; (ii) refinement underlies a relevant notion of disjunction; and so (iii) truthmaker semantics with refinement is a natural home for relevant logic. The resulting formal models draw on Fine’s (1974) semantics for relevant logics. Finally, I use this understanding of relevant semantics to investigate the status of the mingle axiom.
Keywords Kit Fine  parthood  Relevant Logic  Conjunction  Disjunction  Logic
Categories (categorize this paper)
Buy the book Find it on
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

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

Metaphysical Dependence: Grounding and Reduction.Gideon Rosen - 2010 - In Bob Hale & Aviv Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology. Oxford University Press. pp. 109-36.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Against Parthood.Theodore Sider - 2013 - Oxford Studies in Metaphysics 8:237–293.

View all 26 references / Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Truthmaker Semantics for Relevant Logic.Mark Jago - 2020 - Journal of Philosophical Logic 49 (4):681-702.
A General Concept of Being a Part of a Whole.Andrzej Pietruszczak - 2014 - Notre Dame Journal of Formal Logic 55 (3):359-381.
Logic for Exact Entailment.Kit Fine & Mark Jago - 2018 - Review of Symbolic Logic:1-21.
Logic for Exact Entailment.Kit Fine & Mark Jago - 2019 - Review of Symbolic Logic 12 (3):536-556.
A First Order Theory of Functional Parthood.Pawel Garbacz - 2007 - Journal of Philosophical Logic 36 (3):309-337.
Propositions and Parthood: The Universe and Anti-Symmetry.Chris Tillman & Gregory Fowler - 2012 - Australasian Journal of Philosophy 90 (3):525 - 539.
Having a Part Twice Over.Karen Bennett - 2013 - Australasian Journal of Philosophy 91 (1):83 - 103.
Parts and Wholes.Kris McDaniel - 2010 - Philosophy Compass 5 (5):412-425.
Parthood and Naturalness.M. Eddon - 2017 - Philosophical Studies 174 (12):3163-3180.
Disjunction.Stephen Read - 1982 - Journal of Semantics 1 (3-4):275-285.
Can a Thing Be Part of Itself?Stephen Kearns - 2011 - American Philosophical Quarterly (1):87.
The Genealogy of Disjunction.Raymond Earl Jennings - 1994 - Oxford and New York: Oxford University Press.


Added to PP index

Total views
215 ( #48,329 of 2,455,894 )

Recent downloads (6 months)
58 ( #13,062 of 2,455,894 )

How can I increase my downloads?


My notes