David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
History and Philosophy of Logic 30 (3):257-282 (2009)
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
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
George Bealer (1982). Quality and Concept. Oxford University Press.
David Bell & W. D. Hart (1979). The Epistemology of Abstract Objects: Access and Inference. Proceedings of the Aristotelian Society 53:153-165.
Keith Campbell (1990). Abstract Particulars. B. Blackwell.
Alonzo Church (1940). A Formulation of the Simple Theory of Types. Journal of Symbolic Logic 5 (2):56-68.
Citations of this work BETA
Giuseppe Primiero (2013). Offline and Online Data: On Upgrading Functional Information to Knowledge. Philosophical Studies 164 (2):371-392.
Similar books and articles
Rafal Urbaniak (2010). Neologicist nominalism. Studia Logica 96 (2):149-173.
Deborah G. Johnson & Keith W. Miller (2008). Un-Making Artificial Moral Agents. Ethics and Information Technology 10 (2-3):123-133.
Gian Maria Greco, Gianluca Paronitti, Matteo Turilli & Luciano Floridi (2005). How to Do Philosophy Informationally. Lecture Notes in Computer Science 3782:623-634.
G. A. Antonelli (2010). Notions of Invariance for Abstraction Principles. Philosophia Mathematica 18 (3):276-292.
Eric Thomas Updike (2012). Abstraction in Fitch's Basic Logic. History and Philosophy of Logic 33 (3):215-243.
A. Baltag & S. Smets (2008). A Dynamic-Logical Perspective on Quantum Behavior. Studia Logica 89 (2):187 - 211.
D. J. Saab & U. V. Riss (eds.) (2010). Logic and Abstraction as Capabilities of the Mind: Reconceptualizations of Computational Approaches to the Mind. IGI.
Timothy Colburn & Gary Shute (2007). Abstraction in Computer Science. Minds and Machines 17 (2):169-184.
Added to index2009-09-09
Total downloads22 ( #76,726 of 1,098,828 )
Recent downloads (6 months)8 ( #26,870 of 1,098,828 )
How can I increase my downloads?