Starry Reckoning: Reference and Analysis in Mathematics and Cosmology

This book deals with a topic that has been largely neglected by philosophers of science to date: the ability to refer and analyze in tandem. On the basis of a set of philosophical case studies involving both problems in number theory and issues concerning

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Emily Rolfe Grosholz

Starry Reckoning: Reference and Analysis in Mathematics and Cosmology

Studies in Applied Philosophy, Epistemology and Rational Ethics Volume 30

Series editor Lorenzo Magnani, University of Pavia, Pavia, Italy e-mail: [email protected] Editorial Board Atocha Aliseda Universidad Nacional Autónoma de México (UNAM), Coyoacan, Mexico Giuseppe Longo Centre Cavaillès, CNRS—Ecole Normale Supérieure, Paris, France Chris Sinha Lund University, Lund, Sweden Paul Thagard Waterloo University, Waterloo, ON, Canada John Woods University of British Columbia, Vancouver, BC, Canada

About this Series Studies in Applied Philosophy, Epistemology and Rational Ethics (SAPERE) publishes new developments and advances in all the fields of philosophy, epistemology, and ethics, bringing them together with a cluster of scientific disciplines and technological outcomes: from computer science to life sciences, from economics, law, and education to engineering, logic, and mathematics, from medicine to physics, human sciences, and politics. It aims at covering all the challenging philosophical and ethical themes of contemporary society, making them appropriately applicable to contemporary theoretical, methodological, and practical problems, impasses, controversies, and conflicts. The series includes monographs, lecture notes, selected contributions from specialized conferences and workshops as well as selected Ph.D. theses. Advisory Board A. Abe, Chiba, Japan H. Andersen, Copenhagen, Denmark O. Bueno, Coral Gables, USA S. Chandrasekharan, Mumbai, India M. Dascal, Tel Aviv, Israel G.D. Crnkovic, Västerås, Sweden M. Ghins, Lovain-la-Neuve, Belgium M. Guarini, Windsor, Canada R. Gudwin, Campinas, Brazil A. Heeffer, Ghent, Belgium M. Hildebrandt, Rotterdam, The Netherlands K.E. Himma, Seattle, USA M. Hoffmann, Atlanta, USA P. Li, Guangzhou, P.R. China G. Minnameier, Frankfurt, Germany M. Morrison, Toronto, Canada Y. Ohsawa, Tokyo, Japan S. Paavola, Helsinki, Finland W. Park, Daejeon, South Korea

A. Pereira, São Paulo, Brazil L.M. Pereira, Caparica, Portugal A.-V. Pietarinen, Helsinki, Finland D. Portides, Nicosia, Cyprus D. Provijn, Ghent, Belgium J. Queiroz, Juiz de Fora, Brazil A. Raftopoulos, Nicosia, Cyprus C. Sakama, Wakayama, Japan C. Schmidt, Le Mans, France G. Schurz, Dusseldorf, Germany N. Schwartz, Buenos Aires, Argentina C. Shelley, Waterloo, Canada F. Stjernfelt, Aarhus, Denmark M. Suarez, Madrid, Spain J. van den Hoven, Delft, The Netherlands P.-P. Verbeek, Enschede, The Netherlands R. Viale, Milan, Italy M. Vorms, Paris, France

More information about this series at http://www.springer.com/series/10087

Emily Rolfe Grosholz

Starry Reckoning: Reference and Analysis in Mathematics and Cosmology

123

Emily Rolfe Grosholz Department of Philosophy The Pennsylvania State University University Park, PA USA

ISSN 2192-6255 ISSN 2192-6263 (electronic) Studies in Applied Philosophy, Epistemology and Rational Ethics ISBN 978-3-319-46689-7 ISBN 978-3-319-46690-3 (eBook) DOI 10.1007/978-3-319-46690-3 Library of Congress