Identity, Leibniz's Law and Non-transitive Reasoning

  1. Cobreros, Pablo
  2. Egré, Paul
  3. Ripley, David
  4. Rooij, Robert
Revista:
Metaphysica

ISSN: 1437-2053 1874-6373

Año de publicación: 2013

Volumen: 14

Número: 2

Páginas: 253-264

Tipo: Artículo

DOI: 10.1007/S12133-013-0125-2 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Metaphysica

Objetivos de desarrollo sostenible

Resumen

Arguments based on Leibniz's Law seem to show that there is no room for either indefinite or contingent identity. The arguments seem to prove too much, but their conclusion is hard to resist if we want to keep Leibniz's Law. We present a novel approach to this issue, based on an appropriate modification of the notion of logical consequence.

Referencias bibliográficas

  • Bader R (2012) The Non-Transitivity of the Contingent and Occasional Identity Relations. Philosophical Studies 157: 141–152.
  • Cobreros P, Egré P, Ripley D, van Rooij R (2012a) Tolerant, Classical, Strict. Journal of Philosophical Logic 41: 347–385.
  • Cobreros P, Egré P, Ripley D, van Rooij R (2012b) Tolerance and Mixed Consequence in the s'valuationist setting. Studia Logica 100: 855–877.
  • Cobreros P, Egré P, Ripley D, van Rooij R (2013a) Reaching Transparent Truth. Mind (forthcoming).
  • Cobreros P, Egré P, Ripley D, van Rooij R (2013b) Priest's Motorbike and Tolerant Identity. In: Ciuni R, Wansing H, Willkommen C (eds), Proceedings of Trends in Logic XI, Springer (forthcoming).
  • Cobreros P, Egré P, Ripley D, van Rooij R (2013c) Vagueness, Truth and Permissive Consequence. In: Achourioti T, Galinon H, Fujimoto K, Martínez-Fernández J (eds) Volume on Truth in the Logic, Epistemology, and the Unity of Science series of Springer (forthcoming).
  • Cobreros P, Egré P, Ripley D, van Rooij R (2013d) How many degrees of truth do we need for vague predicates? (manuscript).
  • Evans G (1978) Can There Be Vague Objects? Analysis 38: 208.
  • Frege, G (1879). Begriffsschrift: Eine Der Arithmetische Nachgebildete Formelsprache des Reinen Denkens. Halle.
  • Frege G (1892) Über Sinn und Bedeutung, Zeitschrift für Philosophie und philosophische Kritik, NF 100, S. 25–50.
  • Gibbard A (1975) Contingent Identity. Journal of Philosophical Logic 4: 187–221.
  • Hughes G E, Cresswell M J (1996) A New Introduction to Modal Logic. Routledge, New York.
  • Lewis D (1988) Vague Identity: Evans Misunderstood. Analysis 48: 128–130
  • Magidor O. (2011) Arguments by Leibniz's Law. Philosophy Compass 6: 180–195.
  • Parsons T, Woodruff P (1995) Worldly indeterminacy of identity. Proceedings of the Aristotelian Society 95: 171–191.
  • Peirce CS (1932) The Collected Papers Vol. I: Principles of Philosophy. Belknap Press, Cambridge Mass.
  • Priest G (2008) An Introduction to Non-Classical Logic, 2nd edn. Cambridge University Press, Cambridge.
  • Priest G (2010) Non-transitive identity. In: Dietz R, Moruzzi S (eds) Cuts and Clouds. Oxford University Press, Oxford.
  • Quine WVO (1960) Word and Object. Cambridge, Mass: MIT Press.
  • Récanati F (2000) Opacity and the attitudes. In A. Orenstein and P. Kotatko, Knowledge, Language and Logic: Questions for Quine, Kluwer Academic Publishers (Ed.), 367–406.
  • Ripley D (2012) Conservatively Extending Classical Logic with Transparent Truth. The Review of Symbolic Logic 5: 354–378.
  • Ripley D (2013) Paradoxes and Failures of Cut. Australasian Journal of Philosophy 91 :139–164.
  • Schlechter J (2011) Weakly Classical Theories of Identity. The Review of Symbolic Logic 4: 607–644.
  • Segerberg K (1971) An Essay in Classical Modal Logic. Uppsala,Filosofiska Föreningen Och Filosofiska Institutionen Vid Uppsala Universitet.
  • Wiggins D (1980) Sameness and Substance. Blackwell, Oxford.
  • Williams R (2007) Multiple Actualities and Ontically Vague Identity. The Philosophical Quarterly 58: 134–154.
  • Williams R (2008) Ontic Vagueness and Metaphysical Indeterminacy. Philosophy Compass 3: 763–788.
  • Williamson T (1996) The Necessity and Determinacy of Distinctness. In: Lovibond S, Williams S (eds) Essays for David Wiggins: Identity, Truth and Value. Blackwell, Oxford.