Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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The problem of explanation in mathematics

2016/21/B/HS1/01955

Keywords:

philosophy of mathematics mathematical explanation indispensability argument

Descriptors:

  • HS1_4: Logic, science methodology, philosophy of science
  • HS1_2: Ontology and metaphysics, particular ontologies
  • HS1_3: Epistemology (incl. sources of knowledge, criteria of truth, philosophy of language)

Panel:

HS1 - Fundamental questions of human existence and the nature of reality: philosophy, cognition, religious studies, theology

Host institution :

Uniwersytet Warszawski, Wydział Filozofii

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Krzysztof Wójtowicz 

Number of co-investigators in the project: 3

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 255 720 PLN

Project start date (Y-m-d): 2017-02-17

Project end date (Y-m-d): 2022-08-16

Project duration:: 66 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (9)
  • Book publications / chapters in book publications (6)
  1. A metaphysical foundation for mathematical philosophy
    Authors:
    Wójtowicz K., Skowron B.
    Academic press:
    Synthese (rok: 2022, tom: 200, strony: 45319), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11229-022-03760-5 - link to the publication
  2. A stochastic graphs semantics for conditionals
    Authors:
    Krzysztof Wójtowicz, Anna Wójtowicz
    Academic press:
    Erkenntnis (rok: 2019, tom: online first, strony: online first), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10670-019-00144-z - link to the publication
  3. Throwing spatial light: On topological explanation in Gestalt psychology.
    Authors:
    Krzysztof Wójtowicz, Bartłomiej Skowron
    Academic press:
    Phenomenology and the Cognitive Sciences (rok: 2020, tom: online first, strony: 45313), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11097-020-09691-1 - link to the publication
  4. A graph model for probabilities of nested contidionals
    Authors:
    Anna Wójtowicz, Krzysztof Wójtowicz
    Academic press:
    Linguistics and Philosophy (rok: 2021, tom: online-first, strony: online-first), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10988-021-09324-z - link to the publication
  5. Kategoria wyjaśniania w filozofii matematyki Godla
    Authors:
    Krzysztof Wójtowicz
    Academic press:
    Studia Semiotyczne (rok: 2018, tom: XXXII (2), strony: 107-127), Wydawca: PTS
    Status:
    Published
    DOI:
    10.26333/sts.xxxii2.07 - link to the publication
  6. Towards topological topology
    Authors:
    Skowron B., Wójtowicz K,. Kaczmarek J.
    Academic press:
    Metaphilosophy , Wydawca: Wiley
    Status:
    Submitted
    DOI:
    brak - link to the publication
  7. Dutch Book Against Lewis
    Authors:
    Krzysztof Wójtowicz, Anna Wójtowicz
    Academic press:
    Synthese (rok: 2021, tom: 199, strony: 9185–92), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11229-021-03199-0 - link to the publication
  8. Explanation versus understanding: on two roles of dynamical systems theory in extended cognition resear
    Authors:
    Wójtowicz K., Kuś K.
    Academic press:
    Foundations of Science , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Theory of quantum computation and philosophy of mathematics (II)
    Authors:
    Krzysztof Wójtowicz
    Academic press:
    Logic and Logical Philosophy (rok: 2019, tom: 29 (1), strony: 173-193), Wydawca: UMK
    Status:
    Published
    DOI:
    10.12775/LLP.2018.006 - link to the publication
  1. Mathematical modalities and mathematical explanation
    Authors:
    Krzysztof Wójtowicz
    Book:
    Philosophical Approaches to the Foundations of Logic and Mathematics (rok: 2021, tom: I, strony: 123-149), Wydawca: Brill
    Status:
    Published
  2. The significance of relativistic computation for philosophy of mathematics
    Authors:
    Krzysztof Wójtowicz
    Book:
    Hajnal Andreka and Istvan Nemeti on unity of science: from computing to relativity theory through algebraic logic (rok: 2021, tom: 19, strony: 165-183), Wydawca: Springer
    Status:
    Published
  3. Why Categories?
    Authors:
    Kuś M. Skowron B. Wójtowicz K.
    Book:
    Category Theory in Physics, Mathematics, and Philosophy (rok: 2019, tom: 235, strony: 45310), Wydawca: Springer (Proceedings in Physics)
    Status:
    Published
  4. Are there category-theoretical explanations of physical phenomena?
    Authors:
    Krzysztof Wójtowicz
    Book:
    Category Theory in Physics, Mathematics and Philosophy (rok: 2019, tom: 235, strony: 33-43), Wydawca: Springer (Proceedings in Physics)
    Status:
    Published
  5. The status of mathematical proofs and the Enhanced Indispensability Argument
    Authors:
    Krzysztof Wójtowicz
    Book:
    Metaphilosophy (tytuł roboczy) (rok: 2019, tom: I, strony: 180-194), Wydawca: Brill
    Status:
    Published
  6. Does mathematical possibility imply existence?
    Authors:
    Krzysztof Wójtowicz
    Book:
    Contemporary Polish Ontology (rok: 2019, tom: 82 (Phil. An.), strony: 285-302), Wydawca: de Gryuter
    Status:
    Published

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