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

        Author
        Primiero, G.
        Attention
        2299/5947
        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.
        Publication date
        2009
        Published in
        History and Philosophy of Logic
        Published version
        https://doi.org/10.1080/01445340902872630
        Other links
        http://hdl.handle.net/2299/5947
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