Reactionary mathematics: a genealogy of purity
"The nineteenth century opened with a major shift in European mathematics, and in the Kingdom of Naples, this occurred earlier than elsewhere. Between 1790 and 1830 its leading scientific institutions rejected as untrustworthy the "very modern mathematics" of French analysis and in it...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chicago ; London
The University of Chicago Press
2023
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "The nineteenth century opened with a major shift in European mathematics, and in the Kingdom of Naples, this occurred earlier than elsewhere. Between 1790 and 1830 its leading scientific institutions rejected as untrustworthy the "very modern mathematics" of French analysis and in its place consolidated, legitimated, and put to work a different mathematical culture. The Neapolitan mathematical resistance was a complete reorientation of mathematical practice. Over the unrestricted manipulation and application of algebraic algorithms, Neapolitan mathematicians called for a return to Greek-style geometry and the preeminence of pure mathematics. For all their apparent backwardness, Massimo Mazzotti explains, they were arguing for what became crucial features of modern mathematics: its voluntary restriction through a new kind of rigor and discipline, and the complete disconnection of mathematical truth from the empirical world-in other words, its purity. The Neapolitans, Mazzotti argues, were reacting to the widespread use of mathematical analysis in social and political arguments: theirs was a reactionary mathematics that aimed to technically refute the revolutionary mathematics of the Jacobins. Reactionaries targeted the modern administrative monarchy and its technocratic ambitions, and their mathematical critique questioned the legitimacy of analysis as deployed by expert groups, such as engineers and statisticians. What Mazzotti's penetrating history shows us in vivid detail is that producing mathematical knowledge was equally about producing certain forms of social, political, and economic order"-- |
| Beschreibung: | Literaturverzeichnis Seite [279]-319. - Index |
| Beschreibung: | 343 Seiten 23 cm |
| ISBN: | 9780226826721 9780226826745 |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
INTRODUCTION: MATHEMATICS
AS
SOCIAL
ORDER
I
ADVENTURES
OF
THE
ANALYTIC REASON
2
MATHEMATICS
AT
THE
BARRICADES
3
EMPIRE
OF
ANALYSIS
4
THE SHAPE
OF
THE
KINGDOM
INTERMEZZO:
ALGORITHM
OR
INTUITION?
5
THE
GEOMETRY
OF
REACTION
6A SCIENTIFIC
COUNTERREVOLUTION
7A
REACTIONARY
REASON
8 MATHEMATICAL PURITY
AS
RETURN
TO
ORDER
NOTES
243
BIBLIOGRAPHY
279
INDEX
321
$
BIIOTHEK
DEUTSCHES
MUSEUM
T?
HLUENCHE A
I
17
44
72
98
128
147
170
199
225
|
| adam_txt |
CONTENTS
INTRODUCTION: MATHEMATICS
AS
SOCIAL
ORDER
I
ADVENTURES
OF
THE
ANALYTIC REASON
2
MATHEMATICS
AT
THE
BARRICADES
3
EMPIRE
OF
ANALYSIS
4
THE SHAPE
OF
THE
KINGDOM
INTERMEZZO:
ALGORITHM
OR
INTUITION?
5
THE
GEOMETRY
OF
REACTION
6A SCIENTIFIC
COUNTERREVOLUTION
7A
REACTIONARY
REASON
8 MATHEMATICAL PURITY
AS
RETURN
TO
ORDER
NOTES
243
BIBLIOGRAPHY
279
INDEX
321
$
BIIOTHEK
DEUTSCHES
MUSEUM
T?
HLUENCHE'A
I
17
44
72
98
128
147
170
199
225 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
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| dewey-full | 510.945/7310903 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| era | Geschichte 1790-1830 gnd |
| era_facet | Geschichte 1790-1830 |
| format | Book |
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| spelling | Mazzotti, Massimo Verfasser (DE-588)119240467X aut Reactionary mathematics a genealogy of purity Massimo Mazzotti Chicago ; London The University of Chicago Press 2023 343 Seiten 23 cm txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis Seite [279]-319. - Index "The nineteenth century opened with a major shift in European mathematics, and in the Kingdom of Naples, this occurred earlier than elsewhere. Between 1790 and 1830 its leading scientific institutions rejected as untrustworthy the "very modern mathematics" of French analysis and in its place consolidated, legitimated, and put to work a different mathematical culture. The Neapolitan mathematical resistance was a complete reorientation of mathematical practice. Over the unrestricted manipulation and application of algebraic algorithms, Neapolitan mathematicians called for a return to Greek-style geometry and the preeminence of pure mathematics. For all their apparent backwardness, Massimo Mazzotti explains, they were arguing for what became crucial features of modern mathematics: its voluntary restriction through a new kind of rigor and discipline, and the complete disconnection of mathematical truth from the empirical world-in other words, its purity. The Neapolitans, Mazzotti argues, were reacting to the widespread use of mathematical analysis in social and political arguments: theirs was a reactionary mathematics that aimed to technically refute the revolutionary mathematics of the Jacobins. Reactionaries targeted the modern administrative monarchy and its technocratic ambitions, and their mathematical critique questioned the legitimacy of analysis as deployed by expert groups, such as engineers and statisticians. What Mazzotti's penetrating history shows us in vivid detail is that producing mathematical knowledge was equally about producing certain forms of social, political, and economic order"-- Geschichte 1790-1830 gnd rswk-swf Wissenschaftlicher Fortschritt (DE-588)4190101-0 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Wissenschaftspolitik (DE-588)4140181-5 gnd rswk-swf Königreich Neapel (DE-588)4041478-4 gnd rswk-swf Mathematics / Study and teaching / Italy / Naples Mathematics / Political aspects Königreich Neapel (DE-588)4041478-4 g Mathematik (DE-588)4037944-9 s Wissenschaftlicher Fortschritt (DE-588)4190101-0 s Wissenschaftspolitik (DE-588)4140181-5 s Geschichte 1790-1830 z DE-604 Erscheint auch als Online-Ausgabe 978-0-226-82673-8 Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034253342&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mazzotti, Massimo Reactionary mathematics a genealogy of purity Wissenschaftlicher Fortschritt (DE-588)4190101-0 gnd Mathematik (DE-588)4037944-9 gnd Wissenschaftspolitik (DE-588)4140181-5 gnd |
| subject_GND | (DE-588)4190101-0 (DE-588)4037944-9 (DE-588)4140181-5 (DE-588)4041478-4 |
| title | Reactionary mathematics a genealogy of purity |
| title_auth | Reactionary mathematics a genealogy of purity |
| title_exact_search | Reactionary mathematics a genealogy of purity |
| title_exact_search_txtP | Reactionary mathematics a genealogy of purity |
| title_full | Reactionary mathematics a genealogy of purity Massimo Mazzotti |
| title_fullStr | Reactionary mathematics a genealogy of purity Massimo Mazzotti |
| title_full_unstemmed | Reactionary mathematics a genealogy of purity Massimo Mazzotti |
| title_short | Reactionary mathematics |
| title_sort | reactionary mathematics a genealogy of purity |
| title_sub | a genealogy of purity |
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