Mathematical Intuitionism and Intersubjectivity
Subtitle: A Critical Exposition of Arguments for Intuitionism
By: by Tomasz Placek
Series: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science -- 279; Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science -- 279
Publisher: Springer Netherlands
Published: 1999
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 220
ISBN-13: 9789048151875; 9789401593151
Subjects: Philosophy (General); Symbolic and mathematical Logic; Logic; Science; Genetic epistemology; Philosophy
Description: 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.
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