Øystein Linnebo (linnebo)
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Bibliography
Bueno, Otávio and Linnebo, Øystein, eds. 2009a. New Waves in Philosophy of Mathematics. New Waves in Philosophy. Basingstoke, Hampshire:
Palgrave Macmillan.
Bueno, Otávio and Linnebo, Øystein. 2009b. “Philosophy of Mathematics: Old and New.” in
New Waves in Philosophy of
Mathematics, edited by Otávio Bueno and Øystein Linnebo, pp. 1–12. New
Waves in Philosophy. Basingstoke, Hampshire: Palgrave Macmillan.
Florio, Salvatore and Linnebo, Øystein. 2017. “Logic and Plurals.” in The Routledge Handbook of Collective
Intentionality, edited by Marija Jankovic and Kirk A. Ludwig, pp. 451–463. Routledge Handbooks in Philosophy. London:
Routledge.
Florio, Salvatore and Linnebo, Øystein. 2020. “Critical
Plural Logic.” Philosophia Mathematica 28(2):
172–203.
Florio, Salvatore and Linnebo, Øystein. 2021. The Many and the One: A Philosophical Study of Plural
Logic. Oxford: Oxford University Press, doi:10.1093/oso/9780198791522.001.0001.
Horsten, Leon and Linnebo, Øystein. 2016. “Term Models for Abstraction Principles.”
The Journal of Philosophical Logic 45(1): 1–23.
Ladyman, James, Linnebo, Øystein and Pettigrew, Richard. 2012. “Identity and Discernibility in Philosophy and
Logic.” The Review of Symbolic Logic 5(1):
162–186, doi:10.1017/S1755020311000281.
Linnebo, Øystein. 2003a.
“Plural Quantification Exposed.”
Noûs 37(1): 71–92.
Linnebo, Øystein. 2003b. “Frege’s Conception of Logic: From Kant to
Grundgesetze.” Manuscrito 26(2):
235–252.
Linnebo, Øystein. 2004a.
“Plural Quantification.” in The Stanford Encyclopedia of Philosophy.
Stanford, California: The Metaphysics Research Lab, Center for the Study
of Language; Information, https://plato.stanford.edu/archives/win2004/entries/plural-quant/.
Linnebo, Øystein. 2004b. “Frege’s Proof of Referentiality.” Notre
Dame Journal of Formal Logic 45(2): 73–98.
Linnebo, Øystein. 2004c. “Predicative Fragments of Frege Arithmetic.”
The Bulletin of Symbolic Logic 10(2): 153–174.
Linnebo, Øystein. 2004d. “Review of Fine (2002).”
Australasian Journal of Philosophy 82(4): 653–656.
Linnebo, Øystein. 2005. “To Be Is to Be an \(F\).” Dialectica
59(2): 201–222.
Linnebo, Øystein. 2006a. “Sets, Properties, and Unrestricted
Quantification.” in Absolute
Generality, edited by Agustı́n Rayo and Gabriel Uzquiano, pp. 149–178. Oxford: Oxford
University Press.
Linnebo, Øystein. 2006b. “Epistemological Challenges to Mathematical
Platonism.” Philosophical Studies 129(3):
545–574.
Linnebo, Øystein. 2006c. “Mending the Master: Burgess (2005).”
Philosophia Mathematica 14(3): 338–342.
Linnebo, Øystein. 2007a. “Burgess on Plural Logic and Set Theory.”
Philosophia Mathematica 15(1): 79–93.
Linnebo, Øystein. 2007b. “Review of Fine (2005).” The
Philosophical Quarterly 57(227): 294–297.
Linnebo, Øystein. 2008a. “Structuralism and the Notion of
Dependence.” The Philosophical Quarterly 58(230):
59–79.
Linnebo, Øystein. 2008b.
“Retos epistemológicos al platonismo
matemático.” Analı́tica
2. Translation of Linnebo (2006b).
Linnebo, Øystein. 2008c. “The Nature of Mathematical Objects.” in
Proof and Other Dilemmas: Mathematics and
Philosophy, edited by Bonnie Gold and Roger A. Simons, pp. 205–220. Washington, D.C.:
Mathematical Association of America.
Linnebo, Øystein. 2008d.
“Plural Quantification.” in The Stanford Encyclopedia of Philosophy.
Stanford, California: The Metaphysics Research Lab, Center for the Study
of Language; Information, https://plato.stanford.edu/archives/spr2008/entries/plural-quant/.
Linnebo, Øystein. 2009a.
“Thin Objects.” in Proceedings of the 31st International Wittgenstein
Symposium: Reduction – Abstraction – Analysis, edited by
Alexander Hieke and Hannes Leitgeb, pp. 227–239. Publications of the Austrian Ludwig Wittgenstein Society
(new series) n. 11. Heusenstamm b. Frankfurt: Ontos Verlag.
Linnebo, Øystein. 2009b. “The Individuation of the Natural Numbers.”
in New Waves in Philosophy of
Mathematics, edited by Otávio Bueno and Øystein Linnebo, pp. 220–238. New
Waves in Philosophy. Basingstoke, Hampshire: Palgrave Macmillan.
Linnebo, Øystein. 2009c. “Frege’s Context Principle and Reference to Natural
Numbers.” in Logicism,
Intuitionism, and Formalism. What Has Become of Them?,
edited by Sten Lindström, Erik Palmgren, Krister Segerberg, and Viggo Stoltenberg-Hansen, pp. 47–68. Synthese
Library n. 341. Dordrecht: Springer.
Linnebo, Øystein. 2009d. “Platonism in the Philosophy of
Mathematics.” in The Stanford
Encyclopedia of Philosophy. Stanford, California: The
Metaphysics Research Lab, Center for the Study of Language; Information,
https://plato.stanford.edu/archives/fall2009/entries/platonism-mathematics/.
Linnebo, Øystein. 2010. “Pluralities and Sets.” The Journal of
Philosophy 107: 144–164.
Linnebo, Øystein. 2011a.
“Higher-Order Logic.” in The Continuum Companion to Philosophical
Logic, edited by Richard Pettigrew and Leon Horsten, pp. 105–127. London: Continuum
International Publishing Group.
Linnebo, Øystein. 2011b. “Platonism in the Philosophy of
Mathematics.” in The Stanford
Encyclopedia of Philosophy. Stanford, California: The
Metaphysics Research Lab, Center for the Study of Language; Information,
https://plato.stanford.edu/archives/fall2011/entries/platonism-mathematics/.
Linnebo, Øystein. 2012a.
“Metaontological Minimalism.” Philosophy
Compass 7(2): 139–151.
Linnebo, Øystein. 2012b. “Reference by Abstraction.” Proceedings
of the Aristotelian Society 112(1): 45–71.
Linnebo, Øystein. 2012c.
“Plural Quantification.” in The Stanford Encyclopedia of Philosophy.
Stanford, California: The Metaphysics Research Lab, Center for the Study
of Language; Information, https://plato.stanford.edu/archives/sum2012/entries/plural-quant/.
Linnebo, Øystein. 2013a. “The Potential Hierarchy of Sets.” The
Review of Symbolic Logic 6(2): 205–228.
Linnebo, Øystein. 2013b. “Platonism in the Philosophy of
Mathematics.” in The Stanford
Encyclopedia of Philosophy. Stanford, California: The
Metaphysics Research Lab, Center for the Study of Language; Information,
https://plato.stanford.edu/archives/win2013/entries/platonism-mathematics/.
Linnebo, Øystein. 2013c. “Føllesdal and Frege on
Reference.” in Reference,
Rationality, and Phenomenology. Themes from Føllesdal, edited by Michael Frauchiger, pp. 259–280. Lauener Library of Analytical Philosophy n. 2.
Heusenstamm b. Frankfurt: Ontos Verlag.
Linnebo, Øystein. 2014. “ ‘Just is’-Statements as Generalized
Identities [on Rayo
(2013)].” Inquiry 57(4): 466–482.
Linnebo, Øystein. 2016a. “Plurals and Modals.” Canadian Journal
of Philosophy 46(4–5): 654–676. Reprinted in Yli-Vakkuri and
McCullagh (2019).
Linnebo, Øystein. 2016b. “How to Harness Basic Law V.” in Unity and Plurality. Logic, Philosophy and
Linguistics, edited by Massimiliano Carrara, Alexandra Arapinis, and Friederike Moltmann, pp. 19–32. Oxford: Oxford University
Press, doi:10.1093/acprof:oso/9780198716327.001.0001.
Linnebo, Øystein. 2016c. “Impredicativity in the Neo-Fregean
Program.” in Abstractionism. Essays in Philosophy of
Mathematics, edited by Philip A. Ebert and Marcus Rossberg, pp. 247–268. Oxford: Oxford
University Press, doi:10.1093/acprof:oso/9780199645268.001.0001.
Linnebo, Øystein. 2017a. Philosophy of Mathematics. Princeton Foundations of Contemporary Philosophy.
Princeton, New Jersey: Princeton University Press.
Linnebo, Øystein. 2017b.
“Plural Quantification.” in The Stanford Encyclopedia of Philosophy.
Stanford, California: The Metaphysics Research Lab, Center for the Study
of Language; Information, https://plato.stanford.edu/archives/sum2017/entries/plural-quant/.
Linnebo, Øystein. 2018a. Thin
Objects. An Abstractionist Account. Oxford: Oxford
University Press, doi:10.1093/oso/9780199641314.001.0001.
Linnebo, Øystein. 2018b. “Truth in Mathematics.” in The Oxford Handbook of Truth, edited by
Michael Glanzberg, pp. 648–667.
Oxford Handbooks. New York: Oxford University Press, doi:10.1093/oxfordhb/9780199557929.001.0001.
Linnebo, Øystein. 2018c. “Putnam on Mathematics as Modal Logic.” in
Hilary Putnam on Logic and
Mathematics, edited by Geoffrey Hellman and Roy T. Cook, pp. 249–268. Outstanding Contributions to Logic n. 9. Cham:
Springer, doi:10.1007/978-3-319-96274-0.
Linnebo, Øystein. 2018d. “On the Permissibility of Impredicative
Comprehension.” in Being
Necessary. Themes of Ontology and Modality from the Work of Bob
Hale, edited by Ivette Fred-Rivera and Jessica F. Leech, pp. 170–187. Oxford: Oxford University
Press, doi:10.1093/oso/9780198792161.001.0001.
Linnebo, Øystein. 2018e. “Dummett on Indefinite Extensibility.” in
Philosophical Issues 28: Philosophy of Logic
and Inferential Reasoning, edited by Cory Juhl and Joshua Schechter, pp. 196–220. Hoboken, New Jersey:
John Wiley; Sons, Inc., doi:10.1111/phis.12122.
Linnebo, Øystein. 2018f. “Platonism in the Philosophy of
Mathematics.” in The Stanford
Encyclopedia of Philosophy. Stanford, California: The
Metaphysics Research Lab, Center for the Study of Language; Information,
https://plato.stanford.edu/archives/spr2018/entries/platonism-mathematics/.
Linnebo, Øystein. 2019. “The Context Principle in Frege’s
Grundgesetze.” in Essays
on Frege’s Basic Laws of Arithmetic, edited by
Philip A. Ebert and Marcus Rossberg, pp. 90–114. Oxford: Oxford University
Press, doi:10.1093/oso/9780198712084.001.0001.
Linnebo, Øystein. 2022a.
“Generality Explained.” The Journal of
Philosophy 119(7): 349–379, doi:10.5840/jphil2022119725.
Linnebo, Øystein. 2022b.
“Plural Quantification.” in The Stanford Encyclopedia of Philosophy.
Stanford, California: The Metaphysics Research Lab, Center for the Study
of Language; Information, https://plato.stanford.edu/archives/spr2022/entries/plural-quant/.
Linnebo, Øystein. 2023. “Platonism in the Philosophy of
Mathematics.” in The Stanford
Encyclopedia of Philosophy. Stanford, California: The
Metaphysics Research Lab, Center for the Study of Language; Information,
https://plato.stanford.edu/archives/sum2023/entries/platonism-mathematics/.
Linnebo, Øystein. 2024. “Reality as Tall and Fine, Not Flat and
Coarse.” in Higher-Order
Metaphysics, edited by Peter Fritz and Nicholas K. Jones, pp. 191–219. Oxford: Oxford University
Press, doi:10.1093/oso/9780192894885.003.0005.
Linnebo, Øystein and Muller, F. A. 2013. “On Witness-Discernibility of Elementary
Particles.” Erkenntnis 78(5): 1133–1142.
Linnebo, Øystein and Nicolas, David. 2008. “Superplurals in English.” Analysis
68(3): 186–197, doi:10.1093/analys/68.3.186.
Linnebo, Øystein and Pettigrew, Richard. 2011. “Category Theory as an Autonomous
Foundation.” Philosophia Mathematica 19(3):
227–254.
Linnebo, Øystein and Pettigrew, Richard. 2014. “Two Types of Abstraction for
Structuralism.” The Philosophical Quarterly
64(255): 267–283.
Linnebo, Øystein and Rayo, Agustı́n. 2012. “Hierarchies Ontological and Ideological.”
Mind 121(482): 269–308.
Linnebo, Øystein and Rayo, Agustı́n. 2014. “Reply to Florio and Shapiro [Florio and Shapiro
(2014)].” Mind 123(489): 175–181.
Linnebo, Øystein and Shapiro, Stewart. 2019. “Realizability as a Kind of Truth-Making.”
in Quo Vadis, Metaphysics? Essays in Honor of
Peter van Inwagen, edited by Mirosław Szatkowski, pp. 351–366. Philosophical
Analysis n. 81. Berlin: de Gruyter, doi:10.1515/9783110664812.
Linnebo, Øystein and Shapiro, Stewart. 2021. “Modality in Mathematics.” in The Routledge Handbook of Modality, edited by
Otávio Bueno and Scott A. Shalkowski, pp. 281–291. Routledge Handbooks in Philosophy. London:
Routledge.
Linnebo, Øystein, Shapiro, Stewart and Hellman, Geoffrey. 2016.
“Aristotelian Continua.” Philosophia
Mathematica 24(2): 214–246.
Further References
Burgess, John P. 2005. Fixing
Frege. Princeton, New Jersey: Princeton University Press.
Fine, Kit. 2002. The Limits of Abstraction. Oxford: Oxford
University Press, doi:10.1093/oso/9780199246182.001.0001.
Fine, Kit. 2005. Modality and Tense. Philosophical Papers.
Oxford: Oxford University Press, doi:10.1093/0199278709.001.0001.
Florio, Salvatore and Shapiro, Stewart. 2014. “Set Theory, Type Theory, and Absolute
Generality.” Mind 123(489): 157–174.
Rayo, Agustı́n. 2013. The Construction of Logical Space. Oxford:
Oxford University Press, doi:10.1093/acprof:oso/9780199662623.001.0001.
Yli-Vakkuri, Juhani and McCullagh, Mark, eds. 2019. Williamson on Modality. London: Routledge,
doi:10.4324/9781315184074.