Journal article
Russell's substitutional theory of classes and relations
History and philosophy of logic, Vol.8(2), pp.171-200
01/01/1987
DOI: 10.1080/01445348708837115
Abstract
This paper examines Russell's substitutional theory of classes and relations, and its influence on the development of the theory of logical types between the years 1906 and the publication of Principia Mathematica (volume I) in 1910. The substitutional theory proves to have been much more influential on Russell's writings than has been hitherto thought. After a brief introduction, the paper traces Russell's published works on type-theory up to Principia. Each is interpreted as presenting a version or modification of the substitutional theory. New motivations for Russell's 1908 axiom of infinity and axiom of reducibility are revealed.
Details
- Title: Subtitle
- Russell's substitutional theory of classes and relations
- Creators
- Gregory Landini - Ball State University
- Resource Type
- Journal article
- Publication Details
- History and philosophy of logic, Vol.8(2), pp.171-200
- Publisher
- Taylor & Francis
- DOI
- 10.1080/01445348708837115
- ISSN
- 0144-5340
- eISSN
- 1464-5149
- Language
- English
- Date published
- 01/01/1987
- Academic Unit
- Philosophy
- Record Identifier
- 9984397201602771
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