Existence and Free Logic
| Abstract | In this paper I aim to defend a first‐order non‐discriminating property view concerning existence. The version of this view that I prefer is based on negative (or a specific neutral) free logic that treats the existence predicate as first‐order logical predicate. I will provide reasons why such a view is more plausible than a second‐order discriminating property view concerning existence and I will also discuss four challenges for the proposed view and provide solutions to them. | |||||||||
| Keywords | Existence Free Logic Empty Names Bare plurals | |||||||||
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Kevin Timpe (forthcoming). Free WIll. In Neil Manson & Bob Barnard (eds.), The Continuum Companion to Metaphysics. Continuum.
Karel Lambert (ed.) (1991). Philosophical Applications of Free Logic. Oxford University Press.
Joseph Almog (2003). The Structure–in–Things: Existence, Essence and Logic. Proceedings of the Aristotelian Society 103 (2):197–225.
Nino Cocchiarella (1976). On the Logic of Natural Kinds. Philosophy of Science 43 (2):202-222.
Joel Katzav (2008). The Second-Order Property View of Existence. Pacific Philosophical Quarterly 89 (4):486-496.
Neil Tennant (2007). Existence and Identity in Free Logic: A Problem for Inferentialism? Mind 116 (464):1055 - 1078.
Karel Lambert (1981). On the Philosophical Foundations of Free Logic. Inquiry 24 (2):147 – 203.
Friederike Moltmann (2010). On the Semantics of Existence Predicates. In Ingo Reich (ed.), Proceedings of Sinn und Bedeutung 15, Saarbruecken.
Peter Milne (2007). Existence and Identity in Free Logic: Two Comments. Mind 116 (464):1079 - 1081.
Jouko Väänänen (2012). Second Order Logic or Set Theory? Bulletin of Symbolic Logic 18 (1):91-121.
Karel Lambert (2003). Free Logic: Selected Essays. New Yorkcambridge University Press.
Karel Lambert (1967). Free Logic and the Concept of Existence. Notre Dame Journal of Formal Logic 8 (1-2):133-144.
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