Skip to main content Accessibility help
×
Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T11:39:14.508Z Has data issue: false hasContentIssue false

Bibliography

Published online by Cambridge University Press:  24 May 2019

Leon Horsten
Affiliation:
University of Bristol
Get access
Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Antonutti Marfori, Marianna, Naturalising mathematics: a critical look at the Quine-Maddy debate, Disputatio 4 (2012), 323342.CrossRefGoogle Scholar
Anselm, , St., Proslogion, in S. N. Deane, St. Anselm: basic writings. Trans. by Sidney D. Deane (1962), Open Court, 1977.Google Scholar
Alon, Noga and Spencer, Joel, The probabilistic method. 2nd edn, Wiley, 2000.Google Scholar
Bacon, John, The untenability of genera, Logique et Analyse 65 (1974), 197208.Google Scholar
Bell, John, Set theory: Boolean-valued models and independence proofs. Clarendon Press, 2005.CrossRefGoogle Scholar
Bell, John and Slomson, Alan, Models and ultraproducts. 2nd edn, Dover, 2006.Google Scholar
Belnap, Nuel and Müller, Thomas, CIFOL: case-intensional first-order logic. I: toward a theory of sorts, Journal of Philosophical Logic 43 (2014), 393437.Google Scholar
Benacerraf, Paul, What numbers could not be, Philosophical Review 74 (1965), 4773.Google Scholar
Benacerraf, Paul, Mathematical truth, Journal of Philosophy 70 (1973), 661679.Google Scholar
Benacerraf, Paul, What mathematical truth could not be – I, in Morton, A. and Stich, S. (eds), Benacerraf and his critics, pp. 959, Blackwell, 1996.Google Scholar
Benci, Vieri and Di Nasso, Mauro, Numerosities of labelled sets: a new way of counting, Advances in Mathematics 17 (2003), 5067.Google Scholar
Benci, Vieri, Forti, Marco, and Di Nasso, Mauro, An Euclidean measure of size for mathematical universes, Logique et Analyse 50 (2007), 4362.Google Scholar
Benci, Vieri, Horsten, Leon, and Wenmackers, Sylvia, Non-Archimedean probability, Milan Journal of Mathematics 81 (2013), 121151.Google Scholar
Benci, Vieri, Horsten, Leon, and Wenmackers, Sylvia, Infinitesimal probabilities, British Journal for the Philosophy of Science 69 (2018), 509552.Google Scholar
Berkeley, George, A treatise concerning human knowledge. Edited by Wilkins, D. R. (2002), Dublin, 1710.Google Scholar
Blitzstein, Joseph and Hwang, Jessica, Introduction to probability. CRC Press, 2015.Google Scholar
Boolos, George, Nominalist platonism, Philosophical Review 94 (1985), 327344.Google Scholar
Boolos, George, Jeffrey, Richard, and Burgess, John, Computability and logic. 5th edn, Cambridge University Press, 2007.Google Scholar
Breckenridge, Wylie and Magidor, Ofra, Arbitrary reference, Philosophical Studies 158 (2012), 377400.Google Scholar
Brickhill, Hazel and Horsten, Leon, Triangulating non-Archimedean probability, Review of Symbolic Logic 11 (2018), 519546.CrossRefGoogle Scholar
Brickhill, Hazel and Horsten, Leon, Sets and probability, arXiv:1903.08361, 2019, 26p.Google Scholar
Burgess, John and Rosen, Gideon, A subject with no object: strategies for nominalistic interpretation of mathematics. Clarendon Press, 1997.Google Scholar
Bressan, Aldo, A general interpreted modal calculus, Yale University Press, 1972.Google Scholar
Burgess, John, Identity, indiscernibility, and ante rem structuralism. Book Review: Stewart Shapiro, Philosophy of mathematics: structure and ontology, Notre Dame Journal of Formal Logic 40 (1999), 283291.Google Scholar
Burgess, John, Mathematics and Bleak House, Philosophia Mathematica 12 (2004a), 1836.Google Scholar
Burgess, John, Quine, analyticity and philosophy of mathematics, Philosophical Quarterly 54 (2004b), 3855.Google Scholar
Burgess, John, Critical study / book review: Charles Parsons. Mathematical thought and its objects, Philosophia Mathematica 16 (2008), 402420.Google Scholar
Burgess, John, Philosophical logic. Princeton University Press, 2009.CrossRefGoogle Scholar
Burgess, John, Rigor and structure. Oxford University Press, 2015.Google Scholar
Burgess, John, Parsons and the structuralist view, in O. Rechter (ed), Intuition and reason, Forthcoming.Google Scholar
Button, Tim and Walsh, Sean, Philosophy and model theory. Oxford University Press, 2018.Google Scholar
Cameron, Peter, The random graph, in Graham, R. and Nešetřil, J. (eds), The mathematics of Paul Erdős II. Algorithms and combinatorics, vol. 14, pp. 333351, Springer, 1997.Google Scholar
Cantor, Georg, Mitteilungen zur Lehre vom Transfiniten, Zeitschrift für Philosophie und Philosophische Kritik 91 (1887), 81125.Google Scholar
Carnap, Rudolf, Empiricism, semantics, and ontology, Revue Internationale de Philosophie 4 (1950), 4050.Google Scholar
Carnap, Rudolf, Meaning and necessity: a study in semantics and modal logic. 3rd edn, University of Chicago Press, 1956.Google Scholar
Chaitin, Gregory, A theory of program size complexity formally identical to information theory, Journal of the Association of Computing Machinery 22 (1975), 329340.CrossRefGoogle Scholar
Church, Alonzo, Introduction to mathematical logic. Vol. 1. Princeton University Press, 1962.Google Scholar
Damjanovic, Zlatan, Mutual interpretability of Robinson arithmetic and adjunctive set theory with extensionality, Bulletin of Symbolic Logic 23 (2017), 381404.CrossRefGoogle Scholar
Dedekind, Richard, Was sind und was sollen die Zahlen? Vieweg, 1888.Google Scholar
de Finetti, Bruno, Theory of probability. 2 vols. Wiley, 1974.Google Scholar
de la Vallée Poussin, Charles-Jean, Cours d’analyse infinitésimale. Tome I, A. Uystpruyst-Dieudonné, 1903.Google Scholar
Diestel, Richard, Graph theory. Springer, 2006.Google Scholar
Dieterle, Jill, Mathematical, astrological, and theological naturalism, Philosophia Mathematica 7 (1999), 129135.Google Scholar
Dummett, Michael, The logical basis of metaphysics. Harvard University Press, 1993.Google Scholar
Erdős, Paul and Rényi, Alfréd, Asymmetric graphs, Acta Mathematica Academiae Scientiae Hungaricae 14 (1963), 295315.Google Scholar
Euler, Leonhard, Institutiones calculi differentialis. Vol. 1, Opera omnia, ser. 1, vol. 10 (1913), Acadamiae Imperialis Scientiarum, St. Petersburg, 1755.Google Scholar
Evans, Gareth, Can there be vague objects?, Analysis 38 (1978), 208.Google Scholar
Ferreira, Fernando and Ferreira, Gilda, Interpretability in Robinson’s Q, Bulletin of Symbolic Logic 19 (2013), 289317.Google Scholar
Feyerabend, Paul, Against method. Verso, 1975.Google Scholar
Field, Hartry, Science without numbers. Blackwell, 1980.Google Scholar
Field, Hartry, Is mathematical knowledge just logical knowledge?, Philosophical Review 93 (1984), 509552.Google Scholar
Fine, Arthur, And not anti-realism either, Noûs 18 (1984a), 5165.Google Scholar
Fine, Arthur, The natural ontological attitude, in Leplin, J. (ed), Scientific realism, pp. 261277, University of California Press, 1984b.Google Scholar
Fine, Kit, Vagueness, truth and logic, Synthese 30 (1975), 265300.Google Scholar
Fine, Kit, A defence of arbitrary objects. I: Kit Fine, Proceedings of the Aristotelian Society, Supplementary Volumes 57 (1983), 5577.Google Scholar
Fine, Kit, Natural deduction and arbitrary objects, Journal of Philosophical Logic 14 (1985a), 57107.Google Scholar
Fine, Kit, Reasoning about arbitrary objects. Basil Blackwell, 1985b.Google Scholar
Fine, Kit, Cantorian abstraction: a reconstruction and defense, Journal of Philosophy 95 (1998), 599634.Google Scholar
Fine, Kit, The question of realism, Philosophical Imprints 1 (2001), 130.Google Scholar
Fine, Kit, Class and membership, Journal of Philosophy, 102, 547572.Google Scholar
Fine, Kit, Our knowledge of mathematical objects, in Szabo, T. and Hawthorne, J. (eds), Oxford studies in epistemology, vol. 1, pp. 89–110, Oxford University Press, 2005b.Google Scholar
Fine, Kit, Form, Journal of Philosophy 114 (2017a), 509535.Google Scholar
Fine, Kit, Naive metaphysics, Philosophical Issues 1 (2017b), 98113.Google Scholar
Frege, Gottlob, The foundations of arithmetic: a logico-mathematical enquiry into the concept of number. 2nd edn. Trans. by J.L. Austin (1968), Northwestern, 1984.Google Scholar
Frege, Gottlob, Philosophical writings of Gottlob Frege. Trans. by P. Geach and M. Black, Blackwell, 1960.Google Scholar
Frege, Gottlob, Posthumous writings. Trans. by P. Long and R.M. White, Blackwell, 1979.Google Scholar
Freiling, Chris, Axioms of symmetry: throwing darts at the real number line, Journal of Symbolic Logic 51 (1986), 190200.Google Scholar
Garson, James, Modal logic for philosophers. Cambridge University Press, 2006.CrossRefGoogle Scholar
Gödel, Kurt, What is Cantor’s continuum problem?, American Mathematical Monthly 54 (1947), 515525.Google Scholar
Goldblatt, Robert, Lectures on the hyperreals: an introduction to non-standard analysis. Springer, 1998.Google Scholar
Halbach, Volker and Horsten, Leon, Computational structuralism, Philosophia Mathematica 13 (2006), 174186.CrossRefGoogle Scholar
Hamkins, Joel, The set theoretic multiverse, Bulletin of Symbolic Logic 5 (2012), 416449.Google Scholar
Hazen, Alan, Review of Crispin Wright: Frege’s conception of numbers as objects, Journal of Philosophy 63 (1985), 250254.Google Scholar
Heidegger, Martin, Introduction to ‘What is metaphysics’ (‘Getting to the bottom of metaphysics’). Trans. by M. Groth, 1949.Google Scholar
Hellman, Geoffrey, Mathematics without numbers: towards a modal-structural interpretation. Clarendon Press, 1993.Google Scholar
Hellman, Geoffrey, Structuralism, in Shapiro, S. (ed), Oxford handbook of philosophy of mathematics and logic, pp. 536562, Oxford University Press, 2006.Google Scholar
Heylen, Jan, Carnap’s theory of descriptions and its problems, Studia Logica 94 (2010), 355380.Google Scholar
Hilbert, David, Naturerkennen und Logik, in Hilbert, D., Gesammelte Abhandlungen. Dritter Band (1935), pp. 378387, Julius Springer, 1930.Google Scholar
Hilbert, David, Neubegrundung der Mathematik, in Hilbert, D., Gesammelte Abhandlungen. Dritter Band, pp. 157177, Julius Springer, 1935.Google Scholar
Horsten, Leon, Canonical naming systems, Minds and Machines 15 (2005), 229257.Google Scholar
Horsten, Leon, Levity, Mind 118 (2009), 555581.Google Scholar
Horsten, Leon, Vom Zählen zu den Zahlen. On the relation between computation and arithmetical structuralism, Philosophia Mathematica 20 (2012), 275288.Google Scholar
Horsten, Leon, Mathematical philosophy?, in Andersen, H. et al. (eds), The philosophy of science in a European perspective, vol. 4, pp. 7386, Springer, 2013.Google Scholar
Horsten, Leon, Generic structuralism, Philosophia Mathematica, online first (2019), 19p.Google Scholar
Horsten, Leon and Speranski, Stanislav, Reasoning about arbitrary natural numbers from a Carnapian perspective, Journal of Philosophical Logic (forthcoming).Google Scholar
Hume, David, A treatise of human nature. Being an attempt to introduce the experimental method of reasoning into moral subjects (1986). Penguin, 1739.Google Scholar
Incurvati, Luca, On the concept of finitism, Synthese 129 (2015), 24132436.Google Scholar
Isaacson, Daniel, The reality of mathematics and the case of set theory, in Novak, S. and Simonyi, A. (eds), Truth, reference, and realism, pp. 176, Central European University Press, 2011.Google Scholar
Ito, Ryo, Russell’s metaphysical accounts of logic. PhD dissertation, University of St Andrews, 2017.Google Scholar
Jeshion, Robin, Intuiting the infinite, Philosophical Studies 171 (2014), 327349.Google Scholar
Kaye, Richard, Models of Peano Arithmetic. Clarendon Press, 1991.Google Scholar
Kearns, Stephen and Magidor, Ofra, Epistemicism about vagueness and meta-linguistic safety, Philosophical Perspectives 22 (2008), 277304.Google Scholar
Keränen, Jukka, The identity problem for realist structuralism, Philosophia Mathematica 9 (2001), 308330.Google Scholar
Ketland, Geoffrey, Structuralism and the identity of indiscernibles, Analysis 66 (2006), 303315.CrossRefGoogle Scholar
King, Jeffrey, Instantial terms, anaphora and arbitrary objects, Philosophical Studies 61 (1991), 239265.Google Scholar
Kremer, Philip, Indeterminacy of fair infinite lotteries, Synthese 191 (2014), 17571760.Google Scholar
Kripke, Saul, Semantical considerations on modal logic, Acta Philosophica Fennica 16 (1963), 8394.Google Scholar
Kripke, Saul, Naming and necessity. Harvard University Press, 1980.Google Scholar
Kripke, Saul, Individual concepts: their logic, philosophy, and some of their uses, Proceedings and Addresses of the American Philosophical Association 66 (1992), 7073.Google Scholar
Kuhn, Thomas, Objectivity, value judgement and theory choice, in Th. Kuhn, The essential tension, pp. 320339, University of Chicago Press, 1977.Google Scholar
Ladyman, James and Ross, Don, Everything must go: metaphysics naturalized. Oxford University Press, 2009.Google Scholar
Ladyman, James, Linnebo, Øystein, and Pettigrew, Richard, Identity and discernibility in philosophy and logic, Review of Symbolic Logic 5 (2012), 162186.Google Scholar
Lakatos, Imre, Falsfication and the methodology of scientific research programmes, in Lakatos, I. and Musgrave, A. (eds), Cricism and the growth of knowledge, pp. 91196, Cambridge University Press, 1970.CrossRefGoogle Scholar
Lawvere, William, Functorial semantics for algebraic theories. PhD dissertation, Columbia University, 1963.Google Scholar
Leitgeb, Hannes and Ladyman, James, Criteria of identity and structuralist ontology, Philosophia Mathematica 16 (2008), 388396.Google Scholar
Lewis, David, On the plurality of worlds. Blackwell, 1986.Google Scholar
Lewis, David, Parts of classes. Basil Blackwell, 1991.Google Scholar
Linnebo, Øystein, Philosophy of mathematics. Princeton University Press, 2017.Google Scholar
Littlewood, J., Littlewood’s miscellany. Edited by Bollobas, B., Cambridge University Press, 1986.Google Scholar
Littlewood, J., Thin objects: an abstractionist account. Oxford University Press, 2018.Google Scholar
Linnebo, Øystein and Pettigrew, Richard, Two types of abstraction for structuralism, Philosophical Quarterly 64 (2014), 267283.Google Scholar
Locke, John, An essay concerning human understanding. Edited by Fraser, A. C. (1894), Clarendon Press, 1690.Google Scholar
Loux, Michael and Zimmerman, Dean (eds), The Oxford handbook of metaphysics. Oxford University Press, 2003.Google Scholar
MacBride, Fraser, Structuralism reconsidered, in Shapiro, S. (ed), Oxford handbook of philosophy of mathematics and logic, pp. 563589, Oxford University Press, 2005.CrossRefGoogle Scholar
Macnamara, John, Review: Kit Fine. Reasoning with arbitrary objects, Journal of Symbolic Logic 53 (1988), 305306.Google Scholar
Maddy, Penelope, Naturalism in mathematics. Oxford University Press, 1997.Google Scholar
Maddy, Penelope, Second philosophy: a naturalistic method. Oxford University Press, 2007.Google Scholar
Manders, Kenneth, Domain extensions and the philosophy of mathematics, Journal of Philosophy 86 (1989), 553562.Google Scholar
Martens, David, Combination, convention, and possibility, Journal of Philosophy 103 (2006), 577586.Google Scholar
Martin, Donald, Multiple universes of sets and indeterminate truth values, Topoi 20 (2001), 516.Google Scholar
Mates, Benson, Identity and predication in Plato, Phronesis 24 (1979), 211229.Google Scholar
Mayberry, John, What is required for a foundation of mathematics?, Philosophia Mathematica 2 (1994), 1635.CrossRefGoogle Scholar
McMullin, Ernan, A case for scientific realism, in Leplin, J. (ed), Scientific realism, pp. 8–40, University of California Press, 1984.Google Scholar
Menger, Karl, On variables in mathematics and in natural science, British Journal for the Philosophy of Science 18 (1954), 134142.Google Scholar
Meyer Viol, Wilfried, Instantial logic: an investigation into reasoning with instances. ILLC, 1995.Google Scholar
Myhill, John, Review: W. V. Quine, On Carnap’s views on ontology, Journal of Symbolic Logic 20 (1955), 6162.Google Scholar
Nelson, Edward, Predicative arithmetic. Princeton University Press, 1986.Google Scholar
Nickel, Benhard, Generics, in Hale, B., Miller, A., and Wright, C. (eds), The Blackwell companion to the philosophy of language, 2nd edn, pp. 437462, Blackwell, 2017.Google Scholar
Niebergall, Karl-Georg, On the logic of reducibility: axioms and examples, Erkenntnis 53 (2000), 2762.Google Scholar
Nodelman, Uri and Zalta, Edward, Foundations for mathematical structuralism, Mind 123 (2014), 3978.CrossRefGoogle Scholar
Oliver, Alex and Smiley, Oliver, What are sets and what are they for?, Philosophical Perspectives 20 (2006), 123155.CrossRefGoogle Scholar
Parsons, Charles, Mathematical intuition, Proceedings of the Aristotelian Society, Supplementary Volumes 80 (1980), 145168.Google Scholar
Parsons, Charles, The structuralist view of mathematical objects, Synthese 84 (1990), 303346.Google Scholar
Parsons, Charles, Structuralism and metaphysics, Philosophical Quarterly 54 (2004), 5677.Google Scholar
Parsons, Charles, Mathematical thought and its objects. Cambridge University Press, 2008.Google Scholar
Pettigrew, Richard, Platonism and Aristotelianism in mathematics, Philosophia Mathematica 16 (2008), 310332.Google Scholar
Poincaré, Henri, Science and hypothesis. Dover, 1905.Google Scholar
Putnam, Hilary, Mathematics without foundations, Journal of Philosophy 67 (1967), 522.Google Scholar
Quine, William V.O., On what there is, Review of Metaphysics 2 (1948), 2148.Google Scholar
Quine, William V.O., Two dogmas of empiricism, Philosophical Review 60 (1951), 2043.CrossRefGoogle Scholar
Quine, William V.O., Epistemology naturalized, in W.V.O. Quine, Ontological relativity and other essays, pp. 6990, Columbia University Press, 1969.Google Scholar
Quine, William V.O., The variable, in Parikh, R. (ed), Logic Colloquium 1972–1973, pp. 155168, Springer, 1975.Google Scholar
Quine, William V.O., Theories and things. Harvard University Press, 1981.Google Scholar
Quine, William V.O., Review of Parsons’s ‘Mathematics in philosophy’, Journal of Philosophy 81 (1984), 783794.Google Scholar
Quine, William V.O., Philosophy of logic. 2nd edn, Harvard University Press, 1986.Google Scholar
Rescher, Nicholas, Can there be random individuals? Analysis 18 (1958), 114117.Google Scholar
Resnik, Michael, Mathematics as a science of patterns: ontology and reference, Noûs 15 (1981), 529550.Google Scholar
Resnik, Michael, Second order logic still wild, Journal of Philosophy 85 (1988), 7587.Google Scholar
Robinson, Abraham, Non-standard analysis, Proceedings of the Royal Academy of Sciences, Amsterdam, Series A 64 (1961), 432440.Google Scholar
Rosen, Gideon, Metaphysical dependence: grounding and reduction, in Hale, B. and Hoffmann, A. (eds), Modality: metaphysics, logic, and epistemology, pp. 109136, Oxford University Press, 2010.Google Scholar
Rovelli, Carlo, ’Space is blue and birds fly through it’, Philosophical Transactions of the Royal Society A 376 (2018), no. 2017.0312, 12p.Google Scholar
Russell, Bertrand, On meaning and denotation, in Urquhart, A. (ed), The collected papers of Bertrand Russell 4: foundations of logic 1903–1905, pp. 314358, Routledge, 1903a.Google Scholar
Russell, Bertrand, The principles of mathematics (1996). W. W. Norton, 1903b.Google Scholar
Russell, Bertrand, On denoting, Mind 56 (1905), 479493.Google Scholar
Russell, Bertrand, Knowledge by acquaintance and knowledge by description, Proceedings of the Aristotelian Society 11 (1910), 108128.CrossRefGoogle Scholar
Russell, Bertrand, Introduction to mathematical philosophy. George Allen & Unwin, 1919.Google Scholar
San Gines, Aranzanzu, On Skolem functions, and arbitrary objects: an analysis of Kit Fine’s mysterious claim, Teorema 33 (2014), 137150.Google Scholar
Santambrogio, Marco, Generic and intensional objects, Synthese 73 (1987), 637663.Google Scholar
Santambrogio, Marco, Review: Reasoning about arbitrary objects, by K. Fine, Noûs 22 (1988), 630635.CrossRefGoogle Scholar
Santambrogio, Marco, Was Frege right about variable objects?, in Mulligan, K. (ed), Language, truth and ontology, pp. 133156, Kluwer, 1992.Google Scholar
Schiemer, Georg and Wigglesworth, John, The structuralist thesis reconsidered, British Journal for the Philosophy of Science, forthcoming.Google Scholar
Schiffer, Jonathan, The things we mean. Clarendon Press, 2003.Google Scholar
Schoenfield, Joseph, The axioms of set theory, in Barwise, J. (ed), Handbook of mathematical logic, pp. 321345, North-Holland, 1977.Google Scholar
Shafer, Glenn, When to call a variable random, working paper no 41 of the Game-Theoretic Probability and Finance Project (2018), 64p.Google Scholar
Shapiro, Stewart, Acceptable notation, Notre Dame Journal of Formal Logic 23 (1982), 1420.Google Scholar
Shapiro, Stewart, Foundations without foundationalism: a case for second-order logic. Oxford University Press, 1991.Google Scholar
Shapiro, Stewart, Philosophy of mathematics: structure and ontology. Oxford University Press, 1997.Google Scholar
Shapiro, Stewart, Structure and identity, in MacBride, F. (ed), Identity and modality, pp. 3469, Oxford University Press, 2006.Google Scholar
Shapiro, Stewart, Identity, indiscernibility, and ante rem structuralism: the tale of i and -i, Philosophia Mathematica 16 (2008), 285309.Google Scholar
Shapiro, Stuart C., A logic of arbitrary and indefinite objects, in Dubois, D. et al. (eds), Principles of knowledge representation and reasoning: proceedings of the ninth international conference (KR2004), pp. 265275, AAAI Press, 2004.Google Scholar
Sider, Theodore, Four-dimensionalism: an ontology of persistence and time. Oxford University Press, 2001.CrossRefGoogle Scholar
Sider, Theodore, Writing the book of the world. Oxford University Press, 2011.Google Scholar
Sklar, Lawrence, Space, time, and spacetime. University of California Press, 1975.Google Scholar
Skolem, Thoralf, Some remarks on axiomatized set theory, in van Heijenoort, J. (ed), From Frege to Gödel: a source book in mathematical logic, 1879–1931 (1967), pp. 252263, Harvard University Press, 1922.Google Scholar
Solomonoff, Ray, A preliminary report on a general theory of inductive inference, Report v-131, Zator Co., 1960.Google Scholar
Strawson, Peter, Individuals. Methuen, 1959.Google Scholar
Strawson, Peter, Entity and identity, in Strawson, P., Entity and identity and other essays (1997), pp. 2151, Clarendon Press, 1976.Google Scholar
Švejdar, Vítězslav, On interpretability in the theory of concatenation, Notre Dame Journal of Formal Logic 50 (2009), 8795.Google Scholar
Szubka, Tadeusz, Metaontological maximalism and minimalism: Fine versus Horwich, in Kuzniar, A. and Odrowaz-Sypniewska, J. (eds), Uncovering facts and values: studies in contemporary epistemology and political philosophy. Poznan Studies in the Philosophy of Science and the Humanities 107, 2016.Google Scholar
Tait, William, Finitism, Journal of Philosophy 78 (1981), 524546.Google Scholar
Tait, William, Truth and proof: the platonism of mathematics, in W. Tait, The provenance of pure reason: essays in the philosophy of mathematics and its history (2005), pp. 6188, Oxford University Press, 1986.Google Scholar
Tait, William, Beyond the axioms: the question of objectivity in mathematics, Philosophia Mathematica 9 (2001), 2136.Google Scholar
Tennant, Neil, A defence of arbitrary objects. II: Neil Tennant, Proceedings of the Aristotelian Society, Supplementary Volumes 57 (1983), 7989.Google Scholar
Troelstra, Anne, Choice sequences: a chapter in intuitionistic mathematics. Clarendon Press, 1977.Google Scholar
Truss, John, Foundations of mathematical analysis. Oxford University Press, 1997.Google Scholar
Väänänen, Jouko, Dependence logic: A new approach to independence-friendly logic. Cambridge University Press, 2007.Google Scholar
Väänänen, Jouko and Grädel, Erich, Dependence and independence, Studia Logia 101 (2013), 399410.Google Scholar
van Fraassen, Bas, The scientific image. Oxford University Press, 1980.Google Scholar
Visser, Albert, Growing commas: a study of sequentiality and concatenation, Notre Dame Journal of Formal Logic 50 (2009), 6185.Google Scholar
Williamson, Timothy, Modal logic as metaphysics. Oxford University Press, 2013.Google Scholar
Wittgenstein, Ludwig, Philosophical investigations. Blackwell, 1953.Google Scholar
Worrall, John, Structural realism: the best of both worlds?, Dialectica 43 (1989), 99124.Google Scholar
Zermelo, Ernst, On boundary numbers and domains of sets (translated by W. Hallett), in Ewald, W. (ed), From Kant to Hilbert: a source book in mathematics. Vol. 2 (1996), pp. 12081233, Oxford, 1930.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

  • Bibliography
  • Leon Horsten, University of Bristol
  • Book: The Metaphysics and Mathematics of Arbitrary Objects
  • Online publication: 24 May 2019
  • Chapter DOI: https://doi.org/10.1017/9781139600293.014
Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • Bibliography
  • Leon Horsten, University of Bristol
  • Book: The Metaphysics and Mathematics of Arbitrary Objects
  • Online publication: 24 May 2019
  • Chapter DOI: https://doi.org/10.1017/9781139600293.014
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Bibliography
  • Leon Horsten, University of Bristol
  • Book: The Metaphysics and Mathematics of Arbitrary Objects
  • Online publication: 24 May 2019
  • Chapter DOI: https://doi.org/10.1017/9781139600293.014
Available formats
×