Categorias

Apostolado da Oração

Pesquisa

Some Notes on the Role of the Identity of Indiscernibles in Metaphysics

Some Notes on the Role of the Identity of Indiscernibles in Metaphysics

Francesco Maria Ferrari, “Some Notes on the Role of the Identity of Indiscernibles in Metaphysics,” Revista Portuguesa de Filosofia 80, no. 4 (2024): 1215–42, https://doi.org/10.17990/RPF/2024_80_4_1215.

Mais detalhes

À venda À venda!
10,00 €

128041215

Disponível apenas on-line

  • Some Notes on the Role of the Identity of Indiscernibles in Metaphysics

    Item Type Journal Article
    Author Francesco Maria Ferrari
    Abstract The Principle of the Identity of Indiscernibles (PII) asserts that if putative objects x and y share all properties P, then they must be one and the same entity. Since the usual formal rendering of the PII has the same formal structure as the Leibniz Identity, it may be unclear whether it can be used to define identity and objectuality. As identity and objectuality are closely related, this study aims to examine their relationship within the framework of formal ontology. Crucial for the discussion are issues about type and range of quantification and the invariance of the identity predicate coourring in the PII. Ultimately, the analysis reveals that the appeal to PII is insufficient for providing both identity and objectuality. Some further considerations about how the PII sensitively constrains the range of available ontologies or metaphysics are formulated.
    Date 2024
    Language English
    Rights © 2024 Aletheia - Associação Científica e Cultural
    Volume 80
    Pages 1215-1242
    Publication Revista Portuguesa de Filosofia
    DOI 10.17990/RPF/2024_80_4_1215
    Issue 4
    Date Added 12/6/2024, 8:33:10 PM
    Modified 12/6/2024, 10:27:02 PM

    Tags:

    • identity, indiscernibility, invariance. metaphysics, objectuality, plural quantification.

    Notes:

    • Arenhart, Jonas R. B., Otávio Bueno, and Décio Krause. “Making Sense of Non-Individuals in Quantum Mechanics.” In Quantum Worlds: Perspectives on the Ontology of Quantum Mechanics, edited by Olimpia Lombardi, Sebastián Fortin, Cristian López, and Federico Holik, 185–204. Vol. 1. Cambridge: Cambridge University Press, 2019.

      Benacerraf, Paul. “What Numbers Could Not Be.” *The Philosophical Review* 74, no. 1 (1965): 47–73.

      Béziau, Jean-Yves. “Quine on Identity.” Principia 7, no. 1–2 (2003): 1–15.

      Black, Max. “The Identity of Indiscernibles.” Mind 61, no. 242 (1952): 153–64.

      Boolos, George. “To Be Is to Be a Value of a Variable (or to Be Some Values of Some Variables).” Journal of Philosophy 81, no. 8 (1984): 430–50.

      Boolos, George. “Nominalist Platonism.” Philosophical Review 94, no. 3 (1985): 327–44.

      Borges, Carlos J. R. “A Study on Many-Valued Functions.” Pacific Journal of Mathematics 23 (1967): 451–61.

      Campbell, Keith. Abstract Particulars. Oxford: Blackwell, 1990.

      Campbell, Richard, and Mark H. Bickhard. “Physicalism, Emergence, and Downward Causation.” Axiomathes 21 (2011): 33–56.

      Dorato, Mauro, and Matteo Morganti. “Grades of Individuality: A Pluralistic View of Identity in Quantum Mechanics and in the Sciences.” Philosophical Studies 163 (2013): 591–610.

      Dupré, John, and Daniel J. Nicholson. “A Manifesto for a Processual Philosophy of Biology.” In Everything Flows: Towards a Processual Philosophy of Biology, edited by Daniel J. Nicholson and John Dupré, 3–45. Oxford: Oxford University Press, 2018.

      Dutilh-Novaes, Catarina. “The Undergeneration of Permutation Invariance as a Criterion for Logicality.” Erkenntnis 79 (2014): 81–97.

      Enderton, Herbert B. Elements of Set Theory. New York: Academic Press, 1977.

      Ferrari, Francesco M. “Some Notes on Boolos’ Semantics: Genesis, Ontological Quests, and Model-Theoretic Equivalence to Standard Semantics.” Axiomathes 28, no. 2 (2018): 125–54.

      Ferrari, Francesco M. “An Argument Against Nominalism.” Synthese 200, no. 5 (2022): 403.

      Ferrari, Francesco M. “Formal Issues of Only-Trope Theories of Universals.” Erkenntnis. 89, (2024): 919-946.

      Florio, Salvatore, and Øystein Linnebo. The Many and the One: A Philosophical Study of Plural Logic. Oxford: Oxford University Press, 2021.

      Forrest, Peter. “The Identity of Indiscernibles.” In The Stanford Encyclopedia of Philosophy, edited by Edward N. Zalta. Stanford University, 2020.

      Hodges, Wilfrid. “Elementary Predicate Logic.” In Handbook of Philosophical Logic I, edited by Dov Gabbay and Franz Guenthner, 1–131. Dordrecht: Reidel, 1983.

      Klenk, Virginia. “Intended Models and the Löwenheim-Skolem Theorem.” Journal of Philosophical Logic 5, no. 4 (1976): 475–89.

      Krause, Décio, and Jonas R. B. Arenhart. “Quantum Non-Individuality: Background Concepts and Possibilities.” In The Map and the Territory: Exploring the Foundations of Science, Thought and Reality, edited by Shyam Wuppuluri and Francisco A. Doria, 281–306. Cham: Springer, 2018.

      Linnebo, Øystein. “Pluralities and Sets.” Journal of Philosophy 107 (2010): 144–64.

      Mitsch, Christian. “Why Should Identity Be Harmonious?” PhilSci Archive, 2023. Preprint. http://philsci-archive.pitt.edu/id/eprint/22846.

      Oliver, Alex, and Timothy Smiley. Plural Logic. Oxford: Oxford University Press, 2013.

      Quine, Willard V. O. “Reference and Modality.” In From a Logical Point of View, 139–59. Cambridge, MA: Harvard University Press, 1953.

      Saunders, Simon. “Are Quantum Particles Objects?” Analysis 66 (2006): 52–63.

      Seibt, Johanna. “Quanta, Tropes or Processes: Ontologies for QFT beyond the Myth of Substance.” In Ontological Aspects of Quantum Field Theory, edited by Meinard Kuhlmann, Holger Lyre, and Andrew Wayne, 53–97. Singapore: World Scientific, 2002.

      Seibt, Johanna. “Particulars.” In Theory and Applications of Ontology: Philosophical Perspectives, edited by Roberto Poli and Johanna Seibt, 23–55. Dordrecht: Springer, 2010.

      Shapiro, Stewart. Foundations Without Foundationalism. Oxford: Oxford University Press, 1991.

      Shapiro, Stewart. “Higher-Order Logic.” In The Oxford Handbook of Philosophy of Mathematics and Logic, edited by Stewart Shapiro, 751–80. Oxford: Oxford University Press, 2005.

      Spiegel, Murray R., Seymour Lipschutz, John J. Schiller, and Dennis Spellman. Complex Variables (Schaum’s Outline). New York: McGraw-Hill, 2009.

      van Dalen, Dirk. Logic and Structure. 1st ed. 1980. 5th ed. Berlin: Springer, 2004.

Carrinho  

Sem produtos

Envio 0,00 €
Total 0,00 €

Carrinho Encomendar

PayPal

Pesquisa