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.”

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
Keyword(s):  
New Jersey ◽  
English Translation ◽  
Philosophy Of Mathematics ◽  
Bertrand Russell ◽  
Hilary Putnam ◽  
Foundations Of Mathematics ◽  
Rudolf Carnap ◽  
Von Neumann ◽  
David Hilbert ◽  
And Mathematics

Wittgenstein on Philosophy of Logic and Mathematics

2009 ◽  
Author(s):  
Juliet Floyd
Keyword(s):  
Ludwig Wittgenstein ◽  
Philosophy Of Mathematics ◽  
Vienna Circle ◽  
Short Review ◽  
Significant Part ◽  
Foundations Of Mathematics ◽  
Philosophy Of Logic ◽  
And Mathematics

Ludwig Wittgenstein (1889–1951) wrote as much on the philosophy of mathematics and logic as he did on any other topic, leaving at his death thousands of pages of manuscripts, typescripts, notebooks, and correspondence containing remarks on (among others) Brouwer, Cantor, Dedekind, Frege, Hilbert, Poincaré, Skolem, Ramsey, Russell, Gödel, and Turing. He published in his lifetime only a short review (1913) and the Tractatus Logico-Philosophicus (1921), a work whose impact on subsequent analytic philosophy's preoccupation with characterizing the nature of logic was formative. Wittgenstein's reactions to the empiricistic reception of his early work in the Vienna Circle and in work of Russell and Ramsey led to further efforts to clarify and adapt his perspective, stimulated in significant part by developments in the foundations of mathematics of the 1920s and 1930s; these never issued in a second work, though he drafted and redrafted writings more or less continuously for the rest of his life.

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

scholarly journals SCHOOL MUSEUMS IN THE KINGDOM OF POLAND – IDENTIFICATION OF MAIN ISSUES

Muzealnictwo ◽  
2018 ◽  
Vol 59 ◽  
pp. 39-47
Author(s):  
Aldona Tołysz
Keyword(s):  
Secondary School ◽  
20Th Century ◽  
Natural Science ◽  
Educational Institutions ◽  
Blind People ◽  
National Education ◽  
Teaching Aids ◽  
Museums And Collections ◽  
And Mathematics ◽  
Scientific Value

School museums – which had been founded mostly in the vicinity of educational institutions – used to collect teaching aids. So-called natural history cabinets were the most popular among them, recommended, inter alia, by the Commission of National Education in 1783. The tradition of collecting this type of exhibits was common until the middle of the 20th century. There are two types to be distinguished: school museums and pedagogical museums, which differ with respect to the character of their activity and the kind of exhibits. School museums collected basically objects of natural science, instruments for teaching geography, chemistry and mathematics as well as prints and facilities used during lessons. The second group also specialised in exhibits of natural science, but they were no longer used and usually of higher scientific value, including patterns and examples known in the education system. Among the earliest school museums created in the Kingdom of Poland were Warsaw collections of the Institute for Deaf and Blind People (1875), and those of the Eugeniusz Babiński’s so-called Realschule. At the beginning of the 20th century the idea was spreading, inspired inter alia by the exemplary activity of the Polish School Museum in Lviv (1903). The biggest number of school museums and collections were created in institutions founded by the Polish Educational Society (1906–1907). The survived resources give us relatively detailed information about the collections from Warsaw and Pabianice, which aspired to be categorised as pedagogical museums. The Secondary School for Boys of the Merchants Association in Łódź and the Pedagogical Museum in Warsaw (1917) had also in their possession some interesting collections. The latter one was based upon the collections of former governmental schools, in which – in accordance with a decree issued by Russian authorities – the scientific exhibits were to be collected.

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