Buch
From Dedekind to Gödel
essays on the development of the foundations of mathematics
Abstrakt
Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either.
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Details | Inhaltsverzeichnis
the idea of a model from Kant to Hilbert
pp.1-20
https://doi.org/10.1007/978-94-015-8478-4_1a watershed in the foundations of mathematics
pp.21-44
https://doi.org/10.1007/978-94-015-8478-4_2pp.165-213
https://doi.org/10.1007/978-94-015-8478-4_8Russell, Couturat, and the antinomy of infinite number
pp.215-239
https://doi.org/10.1007/978-94-015-8478-4_9pp.283-329
https://doi.org/10.1007/978-94-015-8478-4_12Wittgenstein, Gödel, and the trisection of the angle
pp.373-425
https://doi.org/10.1007/978-94-015-8478-4_15Publication details
Publisher: Springer
Ort: Dordrecht
Year: 1995
Seiten: 472
DOI: 10.1007/978-94-015-8478-4
ISBN (hardback): 978-90-481-4554-6
ISBN (digital): 978-94-015-8478-4
Referenz:
Hintikka Jaakko (1995) From Dedekind to Gödel: essays on the development of the foundations of mathematics. Dordrecht, Springer.