International Encyclopedia of Unified Science. Otto Neurath, Rudolf Carnap, Charles W. Morris, Niels Bohr, John Dewey, Bertrand Russell, Leonard Bloomfield, Victor F. Lenzen, Ernest Nagel, J. H. Woodger

Isis ◽  
1942 ◽  
Vol 33 (6) ◽  
pp. 721-723
1970 ◽  
Vol 35 (2) ◽  
pp. 312-312
Author(s):  
Alonzo Church

Paul Benacerraf and Hilary Putnam. Introduction. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, 1964, pp. 1–27. - Rudolf Carnap. The logicist foundations of mathematics. English translation of 3528 by Erna Putnam and Gerald E. Massey. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 31–41. - Arend Heyting. The intuitionist foundations of mathematics. English translation of 3856 by Erna Putnam and Gerald E. Massey. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 42–49. - Johann von Neumann. The formalist foundations of mathematics. English translation of 2998 by Erna Putnam and Gerald E. Massey. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 50–54. - Arend Heyting. Disputation. A reprint of pages 1-12 (the first chapter) and parts of the bibliography of XXI 367. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 55–65. - L. E. J. Brouwer. Intuitionism and formalism. A reprint of 1557. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 66–77. - L. E. J. Brouwer. Consciousness, philosophy, and mathematics. A reprint of pages 1243-1249 of XIV 132. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 78–84. - Gottlob Frege. The concept of number. English translation of pages 67-104, 115-119, of 495 (1884 edn.) by Michael S. Mahoney. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 85–112. - Bertrand Russell. Selections from Introduction to mathematical philosophy. A reprint of pages 1-19, 194-206, of 11126 (1st edn., 1919). Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 113–133. - David Hilbert. On the infinite. English translation of 10813 by Erna Putnam and Gerald E. Massey. Philosophy of mathematics, Selected readings, edited by Paul Benacerraf and Hilary Putnam, Prentice-Hall, Inc., Engle-wood Cliffs, New Jersey, pp. 134–151.

1969 ◽  
Vol 34 (1) ◽  
pp. 107-110
Author(s):  
Alec Fisher

Author(s):  
Isaac Levi

Ernest Nagel was arguably the pre-eminent American philosopher of science from the mid 1930s to the 1960s. He taught at Columbia University for virtually his entire career. Although he shared with Bertrand Russell and with members of the Vienna Circle a respect for and sensitivity to developments in mathematics and the natural sciences, he endorsed a strand in the thought of Charles S. Peirce and John Dewey that Nagel himself called ‘contextual naturalism’. Among the main features of contextual naturalism is its distrust of reductionist claims that are not the outcomes of scientific inquiries. Nagel’s contextual naturalism infused his influential, detailed and informed essays on probability, explanation in the natural and social sciences, measurement, history of mathematics, and the philosophy of law. It is reflected, for example, in his trenchant critiques of Russell’s reconstruction of the external world and Russell’s epistemology as well as cognate views endorsed at one time or another by members of the Vienna Circle.


2019 ◽  
Vol 62 (2) ◽  
pp. 133-140
Author(s):  
Slobodan Perovic

Philosophers have substantially considered the key ideas of Neutral Monism, a philosophical view attempting to overcome the Mind/Body problem, as it was initially developed by Ernst Mach and Bertrand Russell. Yet similar ideas are also found in some key considerations of a few prominent physicists who developed quantum mechanics, although philosophers have neglected them. We will show that Niels Bohr?s principle of complementarity (of the particle and wave aspects of microphysical phenomena) is a gradually developed and experimentally motivated account very close to Russell?s and Mach?s key ideas on Neutral Monism.


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