A logic for reasoning about relative similarity

Studia Logica 58 (1):185-226 (1997)
  Copy   BIBTEX

Abstract

A similarity relation is a reflexive and symmetric binary relation between objects. Similarity is relative: it depends on the set of properties of objects used in determining their similarity or dissimilarity. A multi-modal logical language for reasoning about relative similarities is presented. The modalities correspond semantically to the upper and lower approximations of a set of objects by similarity relations corresponding to all subsets of a given set of properties of objects. A complete deduction system for the language is presented.

Categories

Keywords

Reprint years

DOI

10.1023/a:1004952317628

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,349

External links

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

Through your library

My notes

Similar books and articles

Evolution.Robert N. Brandon - 1978 - Philosophy of Science 45 (1):96-109.
The rules versus similarity distinction.Emmanuel M. Pothos - 2005 - Behavioral and Brain Sciences 28 (1):1-14.
Similarity relations and the preservation of solidity.A. P. Hazen & Lloyd Humberstone - 2004 - Journal of Logic, Language and Information 13 (1):25-46.
From similarity to inference.Daniel Osherson - manuscript
Illuminating reasoning and categorization.Evan Heit & Brett K. Hayes - 2005 - Behavioral and Brain Sciences 28 (1):27-27.
A critique of the similarity space theory of concepts.Christopher Gauker - 2007 - Mind and Language 22 (4):317–345.
Similarity and dimensional analysis (preprint - entry in handbook of philosophy of science, elsevier).S. G. Sterrett - 2009 - In Anthonie W. M. Meijers (ed.), Handbook of the Philosophy of Science.

Analytics

Added to PP
2009-01-28

Downloads
64 (#247,260)

6 months
19 (#130,585)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Similarity Structure and Emergent Properties.Samuel C. Fletcher - 2020 - Philosophy of Science 87 (2):281-301.
Modal Logic As Dialogical Logic.Patrick Blackburn - 2001 - Synthese 127 (1-2):57-93.
A hierarchy of modal logics with relative accessibility relations.Philippe Balbiani & Ewa Orlowska - 1999 - Journal of Applied Non-Classical Logics 9 (2-3):303-328.

View all 13 citations / Add more citations

References found in this work

Proof Methods for Modal and Intuitionistic Logics.Melvin Fitting - 1985 - Journal of Symbolic Logic 50 (3):855-856.
The Foundations of Mathematics.Charles Parsons & Evert W. Beth - 1961 - Philosophical Review 70 (4):553.

Add more references