Hermann Weyl. Philosophy of mathematics and natural science. Revised and augmented English edition based on a translation by Olaf Helmer. Princeton University Press, Princeton1949, x + 311 S.

1950 ◽  
Vol 15 (3) ◽  
pp. 206-208
Author(s):  
Heinrich Scholz
Keyword(s):  
Natural Science ◽  
Philosophy Of Mathematics ◽  
English Edition ◽  
Princeton University ◽  
Hermann Weyl

German Philosophy

Philosophy ◽  
1956 ◽  
Vol 31 (119) ◽  
pp. 358-361
Author(s):  
F. H. Heinemann
Keyword(s):  
Natural Science ◽  
Philosophy Of Mathematics ◽  
Premature Death ◽  
New Venture ◽  
Foundations Of Mathematics ◽  
German Philosophy ◽  
Hermann Weyl ◽  
And Mathematics

Operative Logic and Mathematics would appear to be a new venture. Only a few weeks before his premature death Hermann Weyl, one of the most original mathematicians of our time, the author of a Philosophy of Mathematics and Natural Science and also of a stimulating book on Symmetry, drew my attention to Paul Lorenzen's Einführung in die operative Logik und Mathematik(Springer, Berlin). This book had given him new hope, since GÖdel had discouraged his endeavour to find the foundations of mathematics. “Perhaps,” he added, “Lorenzen's approach promises a way of arriving at reliable foundations.”

Philosophy of Mathematics and Natural Science. Hermann Weyl

Isis ◽  
1950 ◽  
Vol 41 (2) ◽  
pp. 236-237
Author(s):  
V. F. Lenzen
Keyword(s):  
Natural Science ◽  
Philosophy Of Mathematics ◽  
Hermann Weyl

Philosophy of Mathematics and Natural Science.

1950 ◽  
Vol 59 (3) ◽  
pp. 385
Author(s):  
Stephen Toulmin ◽  
Hermann Weyl
Keyword(s):  
Natural Science ◽  
Philosophy Of Mathematics

The New Entities of Abbacus and Renaissance Algebra

2017 ◽  
Author(s):  
Roi Wagner
Keyword(s):  
Fifteenth Century ◽  
Middle Ages ◽  
Natural Science ◽  
Philosophy Of Mathematics ◽  
Mathematical Practice ◽  
Northern Italy ◽  
Historical Narrative ◽  
Negative Numbers ◽  
Late Middle Ages ◽  
Mathematical Signs

This chapter offers a historical narrative of some elements of the new algebra that was developed in the fourteenth to sixteenth centuries in northern Italy in order to show how competing philosophical approaches find an intertwining expression in mathematical practice. It examines some of the important mathematical developments of the period in terms of a “Yes, please!” philosophy of mathematics. It describes economical-mathematical practice with algebraic signs and subtracted numbers in the abbaco tradition of the Italian late Middle Ages and Renaissance. The chapter first considers where the practice of using letters and ligatures to represent unknown quantities come from by analyzing Benedetto's fifteenth-century manuscript before discussing mathematics as abstraction from natural science observations that emerges from the realm of economy. It also explores the arithmetic of debited values, the formation of negative numbers, and the principle of fluidity of mathematical signs.

Book Reviews

2012 ◽  
Vol 50 (3) ◽  
pp. 823-824 ◽  
Keyword(s):  
Economic Policy ◽  
Economic Development ◽  
Chinese Text ◽  
Chinese Economy ◽  
Development Economic ◽  
English Edition ◽  
Princeton University ◽  
American Economy ◽  
China’S Economy

Zhigang Tao of University of Hong Kong reviews “Interpreting China's Economy” by Gregory C. Chow. The EconLit abstract of the reviewed work begins: English edition of Chinese text explores topics related to the Chinese economy. Focuses on economic development; economic analysis; economic policy; and thoughts about the American economy. Chow is Professor of Economics and Class of 1913 Professor of Political Economy, Emeritus, at Princeton University. No index.

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