Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Infinity and infinitesimals

2018/31/B/HS1/03896

Keywords:

infinity infinitesimals nonstandard analysis surreal numbers ordinal numbers cardinal numbers Basic Metaphor of Infinity theory of numerosities

Descriptors:

  • HS1_4: Logic, science methodology, philosophy of science
  • ST1_1: Logic and foundations
  • HS1_1: History of philosophy (ancient, medieval, modern and contemporary) and history of ideas

Panel:

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

Host institution :

Uniwersytet Komisji Edukacji Narodowej w Krakowie

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Piotr Błaszczyk 

Number of co-investigators in the project: 2

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 243 600 PLN

Project start date (Y-m-d): 2019-06-28

Project end date (Y-m-d): 2024-06-27

Project duration:: 36 months (the same as in the proposal)

Project status: Project completed

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 (5)
  • Book publications / chapters in book publications (2)
  1. Galileo'e paradox and numerosities
    Authors:
    P. Błaszczyk
    Academic press:
    Zagadnienia Filozoficzne w Nauce (rok: 2021, tom: 70, strony: 73-107), Wydawca: Copericus Center Press
    Status:
    Published
    DOI:
    brak - link to the publication
  2. New model of non-Euclidean plane
    Authors:
    P Błaszczyk, A Petiurenko
    Academic press:
    Rivista di Matematica della Università di Parma , Wydawca: Università di Parma
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Euler's Series for Sine and Cosine. An Interpretation in Nonstandard Analysis
    Authors:
    P. Błaszczyk, A. Petiurenko
    Academic press:
    The Annals of the Canadian Society for History and Philosophy of Mathematics (rok: 2023, tom: 1, strony: 73), Wydawca: Birkhauser
    Status:
    Published
    DOI:
    brak - link to the publication
  4. Cantor on infinitesimals. Historical and moder perspective
    Authors:
    Piotr Błaszczyk, Marlena Fila
    Academic press:
    Bulletin of the Section of Logic (rok: 2020, tom: 49 (2), strony: 149-179), Wydawca: Lodz University Press
    Status:
    Published
    DOI:
    10.18778/0138-0680.2020.09 - link to the publication
  5. Modes of Continuity in Diagram for Intermediate Value Theorem
    Authors:
    P. Błaszczyk, M. Fila
    Academic press:
    Diagrammatic Representation and Inferece. LNAI 12169 (rok: 2020, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/978-3-030-54249-8_4 - link to the publication
  1. Descartes' transformation of Greek notions of proportionality
    Authors:
    Piotr Błaszczyk
    Book:
    Handbook of the History and Philosophy of Mathematical Practice (rok: 2021, tom: 1, strony: 45322), Wydawca: Springer
    Status:
    Published
  2. On Bolzano and Greek concepts of continuity
    Authors:
    Piotr Błaszczyk, Marlena Fila
    Book:
    Handbook of the History and Philosophy of Mathematical Practice (rok: 2023, tom: 1, strony: 11689), Wydawca: Springer
    Status:
    Published

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