论文信息 - Pattern-Recognition: a Foundational Approach

Pattern-Recognition: a Foundational Approach

This paper aims at giving a contribution to the ongoing attempt to turn the theory of pattern-recognition into a rigorous science. In this article we address two problems which lie at the foundations of pattern-recognition theory: (i) What is a pattern? and (ii) How do we come to know patterns? In so doing much attention will be paid to tracing a non-arbitrary connection between (i) and (ii), a connection which will be ultimately based on considerations relating to Darwin’s theory of evolution.

[1] Salvatore Gaglio,et al. A Cognitive Architecture for Artificial Vision , 1997, Artif. Intell..

[2] Annita Tuller. A modern introduction to geometries , 1967 .

[3] P. Gärdenfors. Conceptual spaces as a framework for knowledge representation , 2004 .

[4] G. Chaitin. Randomness and Mathematical Proof , 1975 .

[5] Michael D. Resnik,et al. Mathematics as a science of patterns , 1997 .

[6] Massimo Paolucci,et al. Some problems on uncertain knowledge acquisition for rule based systems , 1988, Decis. Support Syst..

[7] N. Pierce. Origin of Species , 1914, Nature.

[8] Gianluigi Oliveri,et al. Truth in Mathematics , 1998 .

[9] S. Shapiro. Philosophy of mathematics : structure and ontology , 1997 .

[10] Stewart Shapiro,et al. Philosophy of mathematics , 1997 .

[11] M. Resnik. Mathematics as a Science of Patterns: Ontology and Reference in Philosophy of Mathematics. , 1981 .

[12] 大野善久,et al. L.F. Curtiss著: Introduction to Neutron Physics, D. Van Nostrand Company, Inc., Princeton, new Jersey, 1959, 369, 369頁, 15×24cm, $ 8.50 , 1959 .

[13] Gianluigi Oliveri,et al. Mathematics. A Science of Patterns? , 1997, Synthese.

[14] N. Foo. Conceptual Spaces—The Geometry of Thought , 2022 .

[15] Gianluigi Oliveri. Object, structure, and form , 2012 .