ISBN:
9789401593151
Language:
English
Pages:
Online-Ressource (XII, 220 p)
,
digital
Edition:
Springer eBook Collection. Humanities, Social Sciences and Law
Series Statement:
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 279
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Keywords:
Philosophy (General)
;
Genetic epistemology
;
Science Philosophy
;
Logic, Symbolic and mathematical
;
Logic
;
Mathematics.
;
History.
;
Science—Philosophy.
;
Mathematical logic.
;
Knowledge, Theory of.
Abstract:
This book is the first modern examination of the philosophical foundations of intuitionism since Oscar Becker's (1927) Mathematische Existenz. Placek examines the three most widely-known arguments for mathematical intuitionism: Brouwer's, Heyting's and Dummett's. The examination centres on the questions of the intersubjectivity of mathematics and is concerned with understanding and evaluating the arguments. An unprejudiced stance leads to refreshing conclusions concerning Brouwer: the philosophical side of Brouwer's doctrine cannot be accused of such sins as psychologism, solipsism or the advocacy of private meaning. Similarly, examination of the Husserlian grounds of Heyting's explanation of the meaning of logical constants shows that this view of language should not be accused of violating the requirement of intersubjectivity of meaning. The approach of the work is philosophical, rather than mathematical or logico-technical
DOI:
10.1007/978-94-015-9315-1
URL:
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