MODERNISM AND MATHEMATICS

The origins of modern mathematics can be found in the mathematical practices of the nineteenth century. It has become a commonplace that the nineteenth century saw the rigorization of analysis under the slogan, coined by Felix Klein in a public lecture in 1895, of the “arithmetization of analysis.”¹...

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Bibliographic Details
Published inPlato's Ghost pp. 18 - 38
Main Author Gray, Jeremy
Format Book Chapter
LanguageEnglish
Published United States Princeton University Press 02.09.2008
Subjects
Algebra
Applied mathematics
Art genres and movements
Art history
Arts
Behavioral sciences
Cognitive processes
Cognitive psychology
Formal logic
Geometry
History of mathematics
Idealism
Kantianism
Logic
Logical topics
Mathematical logic
Mathematics
Metaphysics
Modernist art
Monism
Ontology
Philosophical psychology
Philosophy
Physical sciences
Physics
Psychology
Pure mathematics
Reasoning
Thought processes
Transcendental idealism
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Summary:The origins of modern mathematics can be found in the mathematical practices of the nineteenth century. It has become a commonplace that the nineteenth century saw the rigorization of analysis under the slogan, coined by Felix Klein in a public lecture in 1895, of the “arithmetization of analysis.”¹ Klein was then making his bid to be the leading mathematician in Germany, with a vision of the subject as a whole, and, as he was eager to point out, the arithmetization he was criticizing underestimated the flourishing nineteenth-century line in applied mathematics, but it is true nonetheless that analysis was rigorized
ISBN:9780691136103
0691136106
DOI:10.1515/9781400829040.18