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:
  • ST1_1:
  • HS1_1:

Panel:

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

Host institution :

Uniwersytet Pedagogiczny im. 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:: 60 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 (5)
  • Book publications / chapters in book publications (4)
  1. 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
  2. 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
  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: 73-102), Wydawca: Birkhauser
    Status:
    Published
  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. A Euclidean Proof for the Fourth Postulate
    Authors:
    José Gil-Férez, Piotr Blaszczyk, Andrew Moshier, Alberto Naibo, Marco Panza, Jean-Michel Salanskis
    Status:
    Accepted for publication
  1. On Bolzano and Greek Concepts of Continuity
    Authors:
    Błaszczyk Piotr, Fila Marlena
    Book:
    Handbook of the History and Philosophy of Mathematical Practice, (rok: 2024, tom: 1, strony: 1563-1594), Wydawca: Springer
    Status:
    Published
  2. Descartes' Transformation of Greek Notion of Proportionality
    Authors:
    Błaszczyk Piotr
    Book:
    Handbook of the History and Philosophy of Mathematical Practice, (rok: 2024, tom: 1, strony: 235-267), Wydawca: Springer
    Status:
    Published
  3. wszystkie
    Authors:
    Błaszczyk Piotr, Mrówka Kazimierz, Pogonowski Jerzy
    Book:
    Status:
    Accepted for publication
  4. wszystkie rozdzialy
    Authors:
    Błaszczyk Piotr
    Book:
    Status:
    Accepted for publication

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