British Journal for the Philosophy of Science 72 (2):465-484 (2021)
AbstractAttribute spaces are a type of conceptual spaces which Carnap introduced in his late basic system of inductive logic. This article shows how to extend Carnap's use of them into a full model of inductive reasoning with geometrically represented concepts, extending my earlier work. The proposed model draws on Bayesian non-parametric techniques in order to define a probability distribution over the attribute space and a way of updating it with data. The model is another example of conceptual and formal continuity of Carnapian inductive logic with subsequent developments in statistics.
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References found in this work
Conceptual Spaces: The Geometry of Thought.Peter Gärdenfors - 2000 - Tijdschrift Voor Filosofie 64 (1):180-181.
My Basic Conceptions of Probability and Induction, PA Schilpp Ed.Rudolf Carnap - 1963 - In Paul Arthur Schilpp (ed.), The Philosophy of Rudolf Carnap. La Salle, Ill., Open Court.
Vagueness: A Conceptual Spaces Approach.Igor Douven, Lieven Decock, Richard Dietz & Paul Égré - 2013 - Journal of Philosophical Logic 42 (1):137-160.
On the Application of Inductive Logic.Rudolf Carnap - 1947 - Philosophy and Phenomenological Research 8 (1):133-148.
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