New work for Carnap's quasi-analysis

Journal of Philosophical Logic 38 (3):249-282 (2009)
Carnap’s quasi-analysis is usually considered as an ingenious but definitively flawed approach in epistemology and philosophy of science. In this paper it is argued that this assessment is mistaken. Quasi-analysis can be reconstructed as a representational theory of constitution of structures that has applications in many realms of epistemology and philosophy of science. First, existence and uniqueness theorems for quasi-analytical representations are proved. These theorems defuse the classical objections against the quasi-analytical approach launched forward by Goodman and others. Secondly, the constitution of various kinds of structures is treated in detail: order structures, comparative similarity structures, mereological, mereotopological, and topological structures are considered. In particular, it is pointed out that there exist interesting relations between quasi-analysis and modern theories of pointless topology.
Keywords Carnap  Quasi-analysis  Representational theory of constitution  Order structures  Mereo(topo)logy
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Lieven Decock & Igor Douven (2011). Similarity After Goodman. Review of Philosophy and Psychology 2 (1):61-75.

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