# The architecture of modern mathematics essays in history and philosophy

Gray This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics.

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It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions. Students and researchers in philosophy, mathematics and history of science.

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Reinterpretations in the history and philosophy of foundations M. Frege and the role of historical elucidation: Methodology and the foundations of mathematics J. Riemann's Habilitationsvortrag at the crossroads of mathematics, physics and philosophy J.

The Riemannian background to Frege's philosophy L.

Axiomatics, Empiricism, and Anschauung in Hilbert's conception of geometry: Between arithmetic and general relativity Explorations into the emergence of modern mathematics J. Methodology and metaphysics in the development of Dedekind's theory of ideals C. Emmy Noether's "set-theoretic" topology: Tarski on models and logical consequence J.

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- Special Features Leading developments in the overlapping areas of philosophy and the history of modern mathematics Coherent account aimed at both students and researchers in philosophy, mathematics and history of science Authored by leading scholars;
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A path to the epistemology of mathematics: Homotopy theory Alternative views and programs in the philosophy of mathematics M. Felix Hausdorff's 'considered empiricism' E.

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- It comprises, in its entirety, Anthony Kenny's celebrated translation of chosen philosophical letters, first released in 1970.
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Practice-related symbolic realism in H. Weyl's mature view of mathematical knowledge H.

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Benis-Sinaceur Translated by J. From Kant to Hilbert: French philosophy of concepts in the beginning of the 20th Century. Relative consistency and accessible domains, Synthese, vol.

## The Architecture of Modern Mathematics

He works on the history of mathematics in the 19th and 20th Centuries, and also on issues in the philosophy and social significance of mathematics.

He is the author of 'Labyrinth of Thought: There are no related titles available at this time. Special Features Leading developments in the overlapping areas of philosophy and the history of modern mathematics Coherent account aimed at both students and researchers in philosophy, mathematics and history of science Authored by leading scholars.