Infinity and infinitesimals
2018/31/B/HS1/03896
Keywords
Descriptors
- HS1_4: Logika, metodologia nauk, filozofia nauki
- ST1_1: Logika i podstawy matematyki
- HS1_1: Historia filozofii (starożytnej, średniowiecznej, nowożytnej i współczesnej) i historia idei
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
Voivodeship: małopolskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
OPUS 16 – announced on 2018-09-14
- Amount awarded
- 243 600 PLN
- Project start date
- 2019-06-28
- Project end date
- 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)
-
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 (year: 2023, volume: 1, pages: 73-102), Publisher: Birkhauser
- Status:
- Published
-
Modes of Continuity in Diagram for Intermediate Value Theorem
- Authors:
- P. Błaszczyk, M. Fila
- Academic press:
- Diagrammatic Representation and Inferece. LNAI 12169 (year: 2020, volume: 0, pages: 34-49), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/978-3-030-54249-8_4 – link to the publication
-
Cantor on infinitesimals. Historical and moder perspective
- Authors:
- Piotr Błaszczyk, Marlena Fila
- Academic press:
- Bulletin of the Section of Logic (year: 2020, volume: 49 (2), pages: 149-179), Publisher: Lodz University Press
- Status:
- Published
- DOI:
- 10.18778/0138-0680.2020.09 – link to the publication
-
Galileo'e paradox and numerosities
- Authors:
- P. Błaszczyk
- Academic press:
- Zagadnienia Filozoficzne w Nauce (year: 2021, volume: 70, pages: 73-107), Publisher: Copericus Center Press
- Status:
- Published
-
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
Book publications / chapters in book publications (4)
-
On Bolzano and Greek Concepts of Continuity
- Authors:
- Błaszczyk Piotr, Fila Marlena
- Book:
- Handbook of the History and Philosophy of Mathematical Practice, (year: 2024, volume: 1, pages: 1563-1594), Publisher: Springer
- Status:
- Published
-
Descartes' Transformation of Greek Notion of Proportionality
- Authors:
- Błaszczyk Piotr
- Book:
- Handbook of the History and Philosophy of Mathematical Practice, (year: 2024, volume: 1, pages: 235-267), Publisher: Springer
- Status:
- Published
-
wszystkie rozdzialy
- Authors:
- Błaszczyk Piotr
- Book:
- Ciągłość i liczby rzeczywiste. Eudoxos-Dedekind-Conway (year: 2024, volume: 1, pages: ss. 420), Publisher: Wydawnictwo Naukowe UKEN
- Status:
- Accepted for publication
-
wszystkie
- Authors:
- Błaszczyk Piotr, Mrówka Kazimierz, Pogonowski Jerzy
- Book:
- Ciągłość i liczby rzeczywiste. Teksty źródłowe (year: 2024, volume: 1, pages: 287), Publisher: WN UKEN
- Status:
- Accepted for publication