Inductive Reasoning with Multi-dimensional Concepts

Abstract

Attribute 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.

Download options

PhilArchive



    Upload a copy of this work     Papers currently archived: 72,743

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Analytics

Added to PP
2019-03-25

Downloads
21 (#540,147)

6 months
1 (#386,989)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Marta Sznajder
Ludwig Maximilians Universität, München

References found in this work

Conceptual Spaces: The Geometry of Thought.Peter Gärdenfors - 2000 - Tijdschrift Voor Filosofie 64 (1):180-181.
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.

View all 17 references / Add more references

Citations of this work

Add more citations

Similar books and articles

Rudolf Carnap: Philosophy of Science as Engineering Explications.Christopher F. French - 2015 - In Uskali Mäki, Stephanie Ruphy, Gerhard Schurz & Ioannis Votsis (eds.), Recent Developments in the Philosophy of Science: EPSA13 Helsinki. Springer. pp. 293-303.
Carnapian Inductive Logic for Markov Chains.Brian Skyrms - 1991 - Erkenntnis 35 (1-3):439 - 460.
A Conception of Inductive Logic.Patrick Maher - 2006 - Philosophy of Science 73 (5):513-523.
Carnap’s Thought on Inductive Logic.Yusuke Kaneko - 2012 - Philosophy Study 2 (11).
What Conceptual Spaces Can Do for Carnap's Late Inductive Logic.Marta Sznajder - 2016 - Studies in History and Philosophy of Science Part A 56:62-71.
Explication of Inductive Probability.Patrick Maher - 2010 - Journal of Philosophical Logic 39 (6):593 - 616.
A Note on Irrelevance in Inductive Logic.Jeff B. Paris & Alena Vencovská - 2011 - Journal of Philosophical Logic 40 (3):357 - 370.