Proceeding in abstraction. From concepts to types and the recent perspective on information

Primiero, Giuseppe (2009) Proceeding in abstraction. From concepts to types and the recent perspective on information. History and Philosophy of Logic, 30 (3). pp. 257-282. ISSN 0144-5340

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Abstract

This article presents an historical and conceptual overview on different approaches to logical abstraction. Two main trends concerning abstraction in the history of logic are highlighted, starting from the logical notions of concept and function. This analysis strictly relates to the philosophical discussion on the nature of abstract objects. I develop this issue further with respect to the procedure of abstraction involved by (typed) λ-systems, focusing on the crucial change about meaning and predicability. In particular, the analysis of the nature of logical types in the context of Constructive Type Theory allows elucidation of the role of the previously introduced notions. Finally, the connection to the analysis of abstraction in computer science is drawn, and the methodological contribution provided by the notion of information is considered, showing its conceptual and technical relevance. Future research shall focus on the notion of information in distributed systems, analysing the paradigm of information hiding in dependent type theories.

Item Type: Article
Research Areas: A. > School of Science and Technology > Computer Science > Foundations of Computing group
Item ID: 12080
Depositing User: Users 3197 not found.
Date Deposited: 27 Sep 2013 14:57
Last Modified: 26 Sep 2018 11:13
URI: http://eprints.mdx.ac.uk/id/eprint/12080

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