Reactionary mathematics : a genealogy of purity / Massimo Mazzotti.

Format:

Book

Author/Creator:

Mazzotti, Massimo, author.

Language:

English

Subjects (All):

Mathematics--Study and teaching--Italy--Naples.

Mathematics.

Mathematics--Political aspects.

Mathematics--Study and teaching.

Italy--Naples.

Physical Description:

343 pages : illustrations ; 23 cm

Place of Publication:

Chicago, IL : The University of Chicago Press, 2023.

Summary:

"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"-- Provided by publisher.

Contents:

Introduction: Mathematics as Social Order

Adventures of the Analytic Reason

Mathematics at the Barricades

Empire of Analysis

The Shape of the Kingdom

Intermezzo: Algorithm or Intuition?

The Geometry of Reaction

A Scientific Counterrevolution

A Reactionary Reason

Mathematical Purity as Return to Order.

Notes:

Includes bibliographical references and index.

ISBN:

9780226826721

0226826724

9780226826745

0226826740

OCLC:

1346348959