@Book{883430398, editor="Putnam, Hilary and Benacerraf, Paul", title="Philosophy of mathematics: selected readings", year="2012", edition="Second edition", publisher="Cambridge University Press", address="Cambridge", keywords="Mathematics; Philosophy; Mathematik; Philosophie; Logik; Erkenntnistheorie; Mathematics ; Philosophy", contents="Symposium on the foundations of mathematics ; 1. The logicist foundations of mathematics Rudolf Carnap", abstract="The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt G{\"o}del. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and G{\"o}del himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field", note="edited by Paul Benacerraf, Hilary Putnam", note="Title from publisher's bibliographic system (viewed on 05 Oct 2015)", note="1983 |1983||||||||||", isbn="9781139171519", doi="10.1017/CBO9781139171519", url="https://www.gbv.de/dms/bowker/toc/9781139171519.pdf", url="https://doi.org/10.1017/CBO9781139171519", language="English" }