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Reminiscences of the Vienna Circle and the Mathematical Colloquium (Hardcover, 1994 ed.)
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Reminiscences of the Vienna Circle and the Mathematical Colloquium (Hardcover, 1994 ed.)
Series: Vienna Circle Collection, 20
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Karl Menger (1902--1985), a pure mathematician of distinction, also
took an active interest in both philosophy and economics. In this
memoir, which he was composing at the time of his death, he relates
how all these subjects developed and flourished against the
Viennese background (itself described in depth and with affection),
and did so despite the political developments of the '20s and '30s,
which depressed but did not silence him. He continued his work in
the United States. The memoir describes his membership of the
Vienna Circle (the scientifically minded philosophers that gathered
around Moritz Schlick) for whom he was an invaluable intermediary,
bringing them into contact with Brouwer's intuitionism, with the
work of the Polish logicians, especially that of Tarski, but more
generally with rigorous mathematical thinking. Indeed, the other
Viennese group described here is the Mathematical Colloquium, which
he founded, whose Proceedings (still read) show it to have been a
powerhouse of ideas. There are also valuable chapters on philosophy
and mathematics in the Poland of the '20s and '30s and the U.S. of
the '30s and '40s. The memoir devotes particular attention to
Wittgenstein (with whose family Menger was acquainted) and to
GAdel, whom he was instrumental in bringing to America. The genesis
of Menger's own writings on philosophy is also described and the
work abounds in mathematical examples lucidly applied to that
subject. This volume (which can now be placed beside the two by
Menger already published in the Vienna Circle Collection) gives an
unequalled impression of the fruitful interdisciplinarity of the
tradition to which he partly belonged and partly created. It
testifiesboth to Menger's power to inspire and to the critical eye
he always turned on even the philosophers he most approved of. A
brief account of his life is given in an Introduction by the
Editors (all of whom knew him personally), and his important
contribution to the social sciences -- only touched on in the text
-- is elucidated by Professor Lionello Punzo.
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