David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Erkenntnis 54 (1):121-131 (2001)
The method of Quasi-Analysis used by Carnap in his program of theconstitution of concepts from finite observations has the following twogoals: (1) Given unsharp observations in terms of similarity relations thetrue properties of the observed objects shall be obtained by a suitablelogical construction. (2) From a single relation on a finite domain,different dimensions of qualities shall be reconstructed and identified. Inthis article I show that with a slight modification Quasi-Analysis iscapable of fulfilling the first goal for a single observable dimension. Weobtain a partition of the so-called Quality Classes representing thepairwise disjoint and exhaustive extensions associated to the ``values'''' ofthe observable. On the other hand, an example demonstrates that the methodfails, as Goodman has pointed out, for a relation expressing similarity withregard to at least one out of many properties.Since it seems to be impossible in general to reconstruct more-dimensionalqualities from a single similarity relation, the constitution of at least asmany similarity relations as there are qualities have to be presumed. Thenit is possible to state adequate sufficient conditions for the dimension ofthe observable space, even if some of the similarity relations might dependon others. The concept of topological dimension cannot be used for thispurpose on finite sets of observations. We replace it by a set-algebraicalcondition on the Quality Classes.
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
|Through your library||Configure|
Similar books and articles
Klaus Sutner (1990). The Ordertype of Β-R.E. Sets. Journal of Symbolic Logic 55 (2):573-576.
M. Carmen Sánchez (1998). Rational Choice on Non-Finite Sets by Means of Expansion-Contraction Axioms. Theory and Decision 45 (1):1-17.
Beata Konikowska (1997). A Logic for Reasoning About Relative Similarity. Studia Logica 58 (1):185-226.
Roger D. Maddux (1992). Relation Algebras of Every Dimension. Journal of Symbolic Logic 57 (4):1213-1229.
Ian Hodkinson (1994). Finite H-Dimension Does Not Imply Expressive Completeness. Journal of Philosophical Logic 23 (5):535 - 573.
S. G. Sterrett (2009). Similarity and Dimensional Analysis (Preprint - Entry in Handbook of Philosophy of Science, Elsevier). In Anthonie W. M. Meijers (ed.), Handbook of the Philosophy of Science.
Hernando Gaitán (2000). Priestley Duality for Quasi-Stone Algebras. Studia Logica 64 (1):83-92.
Alexei Vernitski (2004). Finite Quasivarieties and Self-Referential Conditions. Studia Logica 78 (1-2):337 - 348.
Thomas Mormann (2009). New Work for Carnap's Quasi-Analysis. Journal of Philosophical Logic 38 (3):249-282.
Hannes Leitgeb (2007). A New Analysis of Quasianalysis. Journal of Philosophical Logic 36 (2):181 - 226.
Added to index2009-01-28
Total downloads4 ( #195,632 of 1,008,728 )
Recent downloads (6 months)1 ( #64,702 of 1,008,728 )
How can I increase my downloads?