Markus Pantsar

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  1. Naturalizing Logico-Mathematical Knowledge: Approaches from Philosophy, Psychology and Cognitive Science. Edited by Bangu Sorin. [Book review]

    General information

    Publication statusPublished
    MoE publication typeA1 Journal article-refereed
    OrganisationsDepartment of Philosophy, History and Art Studies, Staff Services
    ContributorsPantsar, M.
    Number of pages3
    Publication date31 Oct 2018
    Peer-reviewedYes

    Publication information

    JournalPhilosophical Quarterly
    Volume68
    Issue number273
    ISSN (Print)0031-8094
    Ratings
    • Scopus rating (2018): SJR 1.507 SNIP 2.157
    Original languageEnglish
    Fields of Science611 Philosophy
    DOIs

    Bibliographical note

    Book review. Reviewed book:
    Naturalizing Logico-Mathematical Knowledge: Approaches from Philosophy, Psychology and Cognitive Science. Edited by Bangu Sorin. New York: Routledge, 2018.

    Research output: Contribution to journalBook/Film/Article reviewScientificpeer-review

  2. Mathematical Explanations and Mathematical Applications

    One of the key questions in the philosophy of mathematics is the role and status of mathematical applications in the natural sciences. The importance of mathematics for science is indisputable, but philosophers have disagreed on what the relation between mathematical theories and scientific theories are. This chapter presents these topics through a distinction between mathematical applications and mathematical explanations. Particularly important is the question whether mathematical applications are ever indispensable. If so, it has often been argued, such applications should count as proper mathematical explanations.

    Following Quine, many philosophers have also contended that if there are indispensable mathematical applications in the natural sciences, then the mathematical objects posited in those applications have an independent existence like the scientific objects. Thus the question of mathematical explanations and applications has an important relevance for the ontology of mathematics.

    General information

    Publication statusPublished
    MoE publication typeA3 Book chapter
    OrganisationsDepartment of Philosophy, History and Art Studies, Staff Services
    ContributorsPantsar, M.
    Number of pages16
    Pages1-16
    Publication date23 Dec 2018

    Host publication information

    Title of host publicationHandbook of The Mathematics of The Arts and Sciences
    PublisherSpringer
    EditorSriraman, B.
    ISBN (Print)978-3-319-57071-6
    ISBN (Electronic)978-3-319-57072-3
    Fields of Science111 Mathematics

    Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

  3. Book Review of “Numbers and the Making of Us: Counting and the Course of Human Cultures” by Caleb Everett

    General information

    Publication statusPublished
    MoE publication typeA1 Journal article-refereed
    OrganisationsDepartment of Philosophy, History and Art Studies, Lund University
    ContributorsPantsar, M., Quinon, P.
    Number of pages11
    Pages494-504
    Publication date7 Sep 2018
    Peer-reviewedYes

    Publication information

    JournalJournal of numerical cognition
    ISSN (Print)2363-8761
    Original languageEnglish
    Fields of Science6160 Other humanities
    Electronic versions
    DOIs
    URLs

    Research output: Contribution to journalBook/Film/Article reviewScientificpeer-review

  4. Early numerical cognition and mathematical processes

    General information

    Publication statusPublished
    MoE publication typeA1 Journal article-refereed
    OrganisationsDepartment of Philosophy, History and Art Studies, Univ Helsinki, University of Helsinki, Dept Philosophy Hist Culture & Art Studies Archae
    ContributorsPantsar, M.
    Number of pages20
    Pages285-304
    Publication dateMay 2018
    Peer-reviewedYes

    Publication information

    JournalTheoria : revista de teoria, historia y fundamentos de la ciencia
    Volume33
    Issue number2
    ISSN (Print)0495-4548
    Ratings
    • Scopus rating (2018): SJR 0.217 SNIP 0.538
    Original languageEnglish
    Fields of SciencePhilosophy of mathematics, arithmetic, conceptual metaphor theory, processes, number cognition, PRIMATE PREFRONTAL CORTEX, HUMAN INFANTS, NUMBER, REPRESENTATION, MAGNITUDE, LANGUAGE, METAPHOR, HUMANS, BRAIN, CODE, 6160 Other humanities
    DOIs
    SourceWOS
    Source-ID000439680600010

    Research output: Contribution to journalArticleScientificpeer-review

  5. Truth, Proof and Gödelian Arguments: A Defence of Tarskian Truth in Mathematics

    General information

    Publication statusPublished
    MoE publication typeG4 Doctoral dissertation (monograph)
    ContributorsPantsar, M.
    Number of pages308
    Publication date27 Apr 2009
    Place of PublicationHelsinki
    Publisher
    • University of Helsinki, Department of Philosophy
    Print ISBNs978-952-10-5373-3
    Electronic ISBNs978-952-10-5374-0
    Fields of Science611 Philosophy, 111 Mathematics
    URLs

    Research output: ThesisDoctoral ThesisMonograph

  6. The Modal Status of Contextually A Priori Arithmetical Truths

    General information

    Publication statusPublished
    MoE publication typeA3 Book chapter
    OrganisationsDepartment of Philosophy, History, Culture and Art Studies 2010-2017
    ContributorsPantsar, M.
    Number of pages13
    Pages67-79
    Publication date2016

    Host publication information

    Title of host publicationObjectivity, Realism, and Proof : FilMat Studies in the Philosophy of Mathematics
    PublisherSpringer
    EditorsBoccuni, F., Sereni, A.
    ISBN (Print)978-3-319-31642-0
    ISBN (Electronic)978-3-319-31644-4

    Publication series

    NameBoston Studies in the Philosophy and History of Science
    No.318
    ISSN (Print)0068-0346
    ISSN (Electronic)2214-7942
    Fields of Science6121 Languages
    DOIs

    Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

  7. Frege, Dedekind, and the Epistemology of Arithmetic

    In early analytic philosophy, one of the most central questions concerned the status of arithmetical objects. Frege argued against the popular conception that we arrive at natural numbers with a psychological process of abstraction. Instead, he wanted to show that arithmetical truths can be derived from the truths of logic, thus eliminating all psychological components. Meanwhile, Dedekind and Peano developed axiomatic systems of arithmetic. The differences between the logicist and axiomatic approaches turned out to be philosophical as well as mathematical. In this paper, I will argue that Dedekind’s approach can be seen as a precursor to modern structuralism and as such, it enjoys many advantages over Frege’s logicism. I also show that from a modern perspective, Frege’s criticism of abstraction and psychologism is one-sided and fails against the psychological processes that modern research suggests to be at the heart of numerical cognition. The approach here is twofold. First, through historical analysis, I will try to build a clear image of what Frege’s and Dedekind’s views on arithmetic were. Then, I will consider those views from the perspective of modern philosophy of mathematics, and in particular, the empirical study of arithmetical cognition. I aim to show that there is nothing to suggest that the axiomatic Dedekind approach could not provide a perfectly adequate basis for philosophy of arithmetic.

    General information

    Publication statusPublished
    MoE publication typeA1 Journal article-refereed
    OrganisationsDepartment of Philosophy, History, Culture and Art Studies 2010-2017
    ContributorsPantsar, M.
    Number of pages22
    Pages297-318
    Publication date2016
    Peer-reviewedYes

    Publication information

    JournalActa Analytica.
    Volume31
    Issue number3
    ISSN (Print)0353-5150
    Ratings
    • Scopus rating (2016): SJR 0.259 SNIP 0.465
    Original languageEnglish

    Research output: Contribution to journalArticleScientificpeer-review

  8. The Great Gibberish—Mathematics in Western Popular Culture

    In this paper, I study how mathematicians are presented in western popular culture. I identify five stereotypes that I test on the best-known modern movies and television shows containing a significant amount of mathematics or important mathematician characters: (1) Mathematics is highly valued as an intellectual pursuit. (2) Little attention is given to the mathematical content. (3) Mathematical practice is portrayed in an unrealistic way. (4) Mathematicians are asocial and unable to enjoy normal life. (5) Higher mathematics is often connected to mental instability—if not downright mental illness.

    General information

    Publication statusPublished
    MoE publication typeA3 Book chapter
    OrganisationsDepartment of Philosophy, History, Culture and Art Studies 2010-2017
    ContributorsPantsar, M.
    Number of pages29
    Pages409-437
    Publication date2016

    Host publication information

    Title of host publicationMathematical Cultures : The London Meetings 2012-2016
    Place of publicationCham
    PublisherSpringer
    EditorLarvor, B.
    ISBN (Print)978-3-319-28580-1
    ISBN (Electronic)978-3-319-28582-5

    Publication series

    NameTrends in the History of Science
    PublisherSpringer
    ISSN (Print)2297-2951
    Fields of Science5141 Sociology
    DOIs

    Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

  9. Assessing the "Empirical Philosophy of Mathematics"

    General information

    Publication statusPublished
    MoE publication typeA1 Journal article-refereed
    OrganisationsDepartment of Philosophy, History, Culture and Art Studies 2010-2017
    ContributorsPantsar, M.
    Number of pages20
    Pages111-130
    Publication date2015
    Peer-reviewedYes

    Publication information

    JournalDiscipline filosofiche
    VolumeXXV
    Issue number1
    ISSN (Print)1591-9625
    Original languageEnglish
    Fields of Science611 Philosophy

    Research output: Contribution to journalArticleScientificpeer-review

  10. In search of aleph-null: how infinity can be created

    In this paper I develop a philosophical account of actual mathematical infinity that does not demand ontologically or epistemologically problematic assumptions. The account is based on a simple metaphor in which we think of indefinitely continuing processes as defining objects. It is shown that such a metaphor is valid in terms of mathematical practice, as well as in line with empirical data on arithmetical cognition.

    General information

    Publication statusPublished
    MoE publication typeA1 Journal article-refereed
    OrganisationsDepartment of Philosophy, History, Culture and Art Studies 2010-2017
    ContributorsPantsar, M.
    Number of pages23
    Pages2489-2511
    Publication date2015
    Peer-reviewedYes

    Publication information

    JournalSynthese
    Volume192
    Issue number8
    ISSN (Print)0039-7857
    Ratings
    • Scopus rating (2015): SJR 0.902 SNIP 1.014
    Original languageEnglish
    Fields of Science611 Philosophy (infinity, philosophy of mathematics)
    DOIs

    Research output: Contribution to journalArticleScientificpeer-review

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