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Transfer Principles, Klein’s Erlangen Program, and Methodological Structuralism

Georg Schiemer

in The Prehistory of Mathematical Structuralism

Published in print:
2020
Published Online:
June 2020
ISBN:
9780190641221
eISBN:
9780190641245
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780190641221.003.0005
Subject:
Philosophy, Logic/Philosophy of Mathematics, General

The present article investigates Felix Klein’s mathematical structuralism underlying his Erlangen program. The aim here is twofold. The first aim is to survey the geometrical background of his 1872 ... More


The Genesis of Relativistic Cosmology

Hanoch Gutfreund and Jürgen Renn

in The Formative Years of Relativity: The History and Meaning of Einstein's Princeton Lectures

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691174631
eISBN:
9781400888689
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691174631.003.0008
Subject:
Physics, History of Physics

This chapter highlights the background for the emergence of relativistic cosmology. A specific interpretational issue, which is treated in this context, is the role of Ernst Mach's principle and the ... More


Conclusion: Art, Math, and Technical Drawing

Tony Robbin

in Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Published in print:
2006
Published Online:
October 2013
ISBN:
9780300110395
eISBN:
9780300129625
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110395.003.0011
Subject:
Society and Culture, Technology and Society

This chapter reviews the key concepts related to projective geometry, which is the field that has helped develop thinking on physics and mathematics. It first looks at the fact that Felix Klein ... More


A Very Short Course in Projective Geometry

Tony Robbin

in Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought

Published in print:
2006
Published Online:
October 2013
ISBN:
9780300110395
eISBN:
9780300129625
Item type:
chapter
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300110395.003.0005
Subject:
Society and Culture, Technology and Society

This chapter serves as a brief lesson on projective geometry. It starts by discussing two basic theorems of projective geometry, which are concerned with perspectives from a point and perspectives ... More


Geometry on my Mind

David D. Nolte

in Galileo Unbound: A Path Across Life, the Universe and Everything

Published in print:
2018
Published Online:
August 2018
ISBN:
9780198805847
eISBN:
9780191843808
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198805847.003.0005
Subject:
Physics, History of Physics

This chapter reviews the history of modern geometry with a focus on the topics that provided the foundation for the new visualization of physics. It begins with Carl Gauss and Bernhard Riemann, who ... More


A Worthy Endeavor

Jacqueline M. Dewar

in The Scholarship of Teaching and Learning: A Guide for Scientists, Engineers, and Mathematicians

Published in print:
2018
Published Online:
June 2018
ISBN:
9780198821212
eISBN:
9780191860751
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821212.003.0001
Subject:
Mathematics, Educational Mathematics

Chapter 0 calls for wide participation in the scholarship of teaching and learning (SoTL) by faculty at all types of institutions, including faculty active in traditional research. The chapter ... More


Professorship and family life

A. J. Kox and H. F. Schatz

in A Living Work of Art: The Life and Science of Hendrik Antoon Lorentz

Published in print:
2021
Published Online:
April 2021
ISBN:
9780198870500
eISBN:
9780191912825
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198870500.003.0003
Subject:
Physics, History of Physics

Chapter 2 describes Lorentz’s appointment as university professor, his move from Arnhem to Leiden, the methodology and views on physics in his inaugural lecture on molecular theories in physics, and ... More


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