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Relevant bibliographies by topics / Mathematics Realism

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Academic literature on the topic 'Mathematics Realism'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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Journal articles on the topic "Mathematics Realism"

1

Jovanovic, Radmila. "Realism in Hintikka’s philosophy of mathematics." Theoria, Beograd 54, no. 4 (2011): 73–92. http://dx.doi.org/10.2298/theo1104073j.

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In this paper we take a closer look at some aspects of Hintikka's philosophy of mathematics. In his book The Principles of Mathematics Revisited and several more recent texts, Hintikka proposed a new foundation of mathematics. He claims that he is defending the realist approach. We will briefly sketch his main arguments and then we will discuss this specific form of Realism.

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Lavine, Shaughan, and Penelope Maddy. "Realism in Mathematics." Journal of Philosophy 89, no. 6 (1992): 321. http://dx.doi.org/10.2307/2026715.

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Korner, Stephan, and Penelope Maddy. "Realism in Mathematics." Mathematical Gazette 75, no. 472 (1991): 228. http://dx.doi.org/10.2307/3620285.

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Weiner, Joan, and Penelope Maddy. "Realism in Mathematics." Philosophical Review 102, no. 2 (1993): 281. http://dx.doi.org/10.2307/2186046.

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Field, Hartry. "Realism, Mathematics and Modality." Philosophical Topics 16, no. 1 (1988): 57–107. http://dx.doi.org/10.5840/philtopics19881613.

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Cocchiarella, Nino B. "Realism, Mathematics and Modality." International Studies in Philosophy 24, no. 3 (1992): 139–41. http://dx.doi.org/10.5840/intstudphil1992243134.

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Lindström, Per. "Quasi-Realism in Mathematics." Monist 83, no. 1 (2000): 122–49. http://dx.doi.org/10.5840/monist200083110.

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James, Eric P. "Realism, Mathematics and Modality." Grazer Philosophische Studien 39 (1991): 215–26. http://dx.doi.org/10.5840/gps19913935.

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Jonas, Silvia. "Mathematical and Moral Disagreement." Philosophical Quarterly 70, no. 279 (2019): 302–27. http://dx.doi.org/10.1093/pq/pqz057.

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Abstract The existence of fundamental moral disagreements is a central problem for moral realism and has often been contrasted with an alleged absence of disagreement in mathematics. However, mathematicians do in fact disagree on fundamental questions, for example on which set-theoretic axioms are true, and some philosophers have argued that this increases the plausibility of moral vis-à-vis mathematical realism. I argue that the analogy between mathematical and moral disagreement is not as straightforward as those arguments present it. In particular, I argue that pluralist accounts of mathema

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Gerard, Adam InTae. "A Metaphysics for Mathematical and Structural Realism." Stance: an international undergraduate philosophy journal 2, no. 1 (2019): 75–89. http://dx.doi.org/10.33043/s.2.1.75-89.

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The goal of this paper is to preserve realism in both ontology and truth for the philosophy of mathematics and science. It begins by arguing that scientific realism can only be attained given mathematical realism due to the indispensable nature of the latter to the prior. Ultimately, the paper argues for a position combining both Ontic Structural Realism and Ante Rem Structuralism, or what the author refers to as Strong Ontic Structural Realism, which has the potential to reconcile realism for both science and mathematics. The paper goes on to claims that this theory does not succumb to the sa

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Dissertations / Theses on the topic "Mathematics Realism"

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Cole, Julian C. "Practice-dependent realism and mathematics." Connect to resource, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1124122328.

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Thesis (Ph. D.)--Ohio State University, 2005.<br>Title from first page of PDF file. Document formatted into pages; contains xi, 248 p. Includes bibliographical references (p. 244-248). Available online via OhioLINK's ETD Center

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Purser, David T. "A Leibnizian approach to mathematical relationships : a new look at synthetic judgments in mathematics /." Connect to full text in OhioLINK ETD Center, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=toledo1264612988.

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Thesis (M.A.)--University of Toledo, 2009.<br>Typescript. "Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Arts Degree in Philosophy." "A thesis entitled"--at head of title. Bibliography: leaves 55-57.

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Gupta, Anoop K. "Benacerraf's dilemma and natural realism for arithmetic." Thesis, University of Ottawa (Canada), 2002. http://hdl.handle.net/10393/6324.

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A natural realist approach to the philosophy of arithmetic is defended by way of considering and arguing against contemporary attempts to solve Paul Benacerraf's dilemma (1973). The first horn of the dilemma concerns the existence of abstract mathematical objects, which seems necessitated by a desire for a unified semantics. Benacerraf adopts an extensional semantics whereby the reference of terms for natural numbers must be abstract objects. The second horn concerns a desirable causal constraint on knowledge, according to which "for X to know that S is true requires some causal relation to ob

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Landry, Elaine. "Category-theoretic realism, a linguistic approach to the philosophy of mathematics." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0007/NQ32318.pdf.

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Stenkvist, Anna. "Pictures and Mathematics : Essays on Geometrical Representation, Pictorial Realism and Representational Abilities." Licentiate thesis, KTH, Filosofi, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-146643.

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Gullberg, Ebba. "Objects and objectivity : Alternatives to mathematical realism." Doctoral thesis, Umeå universitet, Institutionen för idé- och samhällsstudier, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-43692.

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This dissertation is centered around a set of apparently conflicting intuitions that we may have about mathematics. On the one hand, we are inclined to believe that the theorems of mathematics are true. Since many of these theorems are existence assertions, it seems that if we accept them as true, we also commit ourselves to the existence of mathematical objects. On the other hand, mathematical objects are usually thought of as abstract objects that are non-spatiotemporal and causally inert. This makes it difficult to understand how we can have knowledge of them and how they can have any relev

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Pappas, Vangelis. "Aristotle on the metaphysical status of mathematical entities." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/290080.

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The purpose of this dissertation is to provide an account of the metaphysical status of mathematical entities in Aristotle. Aristotle endorses a form of realism about mathematical entities: for him as well as for Platonists, anti-realism, the view that mathematical objects do not exist, is not a viable option. The thesis consists of two main parts: a part dedicated to the objects of geometry, and a part dedicated to numbers. Furthermore, I have included an introductory chapter about a passage in the second chapter of Book B of the Physics (193b31- 194a7) where Aristotle endorses a form of naï

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Pomeroy, David Charles Hay. "Enabling mathematical minds : how social class, ethnicity, and gender influence mathematics learning in New Zealand secondary schools." Thesis, University of Cambridge, 2016. https://www.repository.cam.ac.uk/handle/1810/277623.

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The wide and enduring educational disparities between European and Asian heritage New Zealanders on the one hand, and indigenous Māori and Pacific Islanders on the other, have been a national education policy priority for some time. Such is the degree of focus on ethnic inequalities that very little attention is devoted to sources of privilege and disadvantage related to socio-economic status (SES) and gender, despite international scholarship showing that both of these profoundly influence experiences of schooling. The current study explores the ways in which SES, ethnicity, and gender influ

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Watson, Matthew James. "Anti-realist semantics for mathematical and natural language /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Öberg, Anders. "Hilary Putnam on Meaning and Necessity." Doctoral thesis, Uppsala universitet, Filosofiska institutionen, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-160279.

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In this dissertation on Hilary Putnam's philosophy, I investigate his development regarding meaning and necessity, in particular mathematical necessity. Putnam has been a leading American philosopher since the end of the 1950s, becoming famous in the 1960s within the school of analytic philosophy, associated in particular with the philosophy of science and the philosophy of language. Under the influence of W.V. Quine, Putnam challenged the logical positivism/empiricism that had become strong in America after World War II, with influential exponents such as Rudolf Carnap and Hans Reichenbach. P

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Books on the topic "Mathematics Realism"

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Maddy, Penelope. Realism in mathematics. Clarendon Press, 1992.

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Realism in mathematics. Clarendon Press, 1990.

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3

Field, Hartry H. Realism, mathematics, and modality. Blackwell, 1989.

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Field, Hartry. Realism, mathematics and modality. Basil Blackwell, 1989.

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Realism, mathematics, and modality. B. Blackwell, 1991.

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Conceptual relevance. B.R. Grüner Pub. Co., 1989.

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Les réalismes épistémologiques de Gaston Bachelard. Éditions Universitaires de Dijon, 2012.

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8

A realistic theory of categories: An essay on ontology. Cambridge University Press, 1996.

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Putnam, Hilary. Representation and reality. MIT Press, 1988.

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10

Franklin, James. An Aristotelian Realist Philosophy of Mathematics. Palgrave Macmillan UK, 2014. http://dx.doi.org/10.1057/9781137400734.

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Book chapters on the topic "Mathematics Realism"

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Kahle, Reinhard. "Mathematical Truth Revisited: Mathematics as a Toolbox." In Varieties of Scientific Realism. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51608-0_22.

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Posy, Carl J. "Kant’s Mathematical Realism." In Kant’s Philosophy of Mathematics. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8046-5_12.

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Heinzmann, Gerhard. "Objectivity in Mathematics: The Structuralist Roots of a Pragmatic Realism." In Varieties of Scientific Realism. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-51608-0_21.

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Friend, Michèle. "The Journey from Realism to Pluralism." In Pluralism in Mathematics: A New Position in Philosophy of Mathematics. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7058-4_2.

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Oliveri, Gianluigi. "Anti-Realism and the Philosophy of Mathematics." In The Philosophy of Michael Dummett. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8336-7_6.

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Restall, Greg. "Anti-realist Classical Logic and Realist Mathematics." In The Realism-Antirealism Debate in the Age of Alternative Logics. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-1923-1_14.

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Mardari, Ghenadie N. "Local Realism Without Hidden Variables." In STEAM-H: Science, Technology, Engineering, Agriculture, Mathematics & Health. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74971-6_12.

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Harper, William. "Kant on Space, Empirical Realism and the Foundations of Geometry." In Kant’s Philosophy of Mathematics. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-015-8046-5_11.

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Benci, Vieri. "Some Remarks on the Theory of Relativity and the Naïve Realism." In The Application of Mathematics to the Sciences of Nature. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-0591-4_3.

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Dhombres, Jean. "The Mathematics Implied in the Laws of Nature and Realism, or the Role of Functions Around 1750." In The Application of Mathematics to the Sciences of Nature. Springer US, 2002. http://dx.doi.org/10.1007/978-1-4615-0591-4_15.

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Conference papers on the topic "Mathematics Realism"

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Kuznetsova, A. K., J. A. Almeida, and P. Legoinha. "Improved Realism of Channel Morphology in Object Modelling with Analogue Data Constraints." In ECMOR XIV - 14th European Conference on the Mathematics of Oil Recovery. EAGE Publications BV, 2014. http://dx.doi.org/10.3997/2214-4609.20141814.

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Kozlov, Dmitri. "Knots: Art, Mathematics, Structures." In 2nd International Conference “Futurity designing. Digital reality problems”. Keldysh Institute of Applied Mathematics, 2019. http://dx.doi.org/10.20948/future-2019-24.

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Voytsekhovich, Vyacheslav Emerikovich. "Mathematics of the future." In 4th International Conference “Futurity designing. Digital reality problems”. Keldysh Institute of Applied Mathematics, 2021. http://dx.doi.org/10.20948/future-2021-8.

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Mathematics has entered a crisis of complexity. The main reason is the use of immutable concepts according to the law of identity of Aristotle's logic. The evidence has become super-long, unverifiable. Overcoming the crisis is possible in the transition from immutable concepts to "mobile" ones, in the generalization of the law of identity. In modern mathematics, there are prerequisites for such a transition – in qualitative theory, probability theory, algorithm theory, and foundations. The future of mathematics lies in the development of categories as transformative concepts.

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Redfors, Andreas. "REALITY – THEORETICAL MODELS – MATHEMATICS IN PHYSICS TEACHING." In 12th annual International Conference of Education, Research and Innovation. IATED, 2019. http://dx.doi.org/10.21125/iceri.2019.2890.

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Lee, Jui-Lin. "On nonstandard reals and Granular Mathematics." In 2012 IEEE International Conference on Granular Computing (GrC-2012). IEEE, 2012. http://dx.doi.org/10.1109/grc.2012.6468611.

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Kaufmann, Hannes, and Dieter Schmalstieg. "Mathematics and geometry education with collaborative augmented reality." In ACM SIGGRAPH 2002 conference abstracts and applications. ACM Press, 2002. http://dx.doi.org/10.1145/1242073.1242086.

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Liu, Ruixue, Chu Liu, and Youqun Ren. "A Virtual Reality Application for Primary School Mathematics Class." In 2018 International Symposium on Educational Technology (ISET). IEEE, 2018. http://dx.doi.org/10.1109/iset.2018.00038.

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Thilagavathy, R., T. Veeramani, and B. Ramakrishna. "Role of Augmented Reality and Virtual Reality in Digital World." In 2019 Fifth International Conference on Science Technology Engineering and Mathematics (ICONSTEM). IEEE, 2019. http://dx.doi.org/10.1109/iconstem.2019.8918727.

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Reit, Xenia-Rosemarie. "Enhancing understanding of analytic geometry by augmented reality." In Fifth International Conference on Higher Education Advances. Universitat Politècnica València, 2019. http://dx.doi.org/10.4995/head19.2019.9561.

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An augmented reality (AR) system is a technology which combines computer-generated representations or information and reality in real-time. Instead of substituting the real situation, as it is possible with dynamic geometry systems (DGS), AR adds virtual objects or information to reality to make the situation experiential. The project MalAR aims at investigating the impact of an augmented reality (AR) learning environment in the subject area of analytic geometry. The focus of the AR learning environment is an AR-App, which supports learners understanding of mathematics situations usually given

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Takac, Michal. "Application of Web-based Immersive Virtual Reality in Mathematics Education." In 2020 21th International Carpathian Control Conference (ICCC). IEEE, 2020. http://dx.doi.org/10.1109/iccc49264.2020.9257276.

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