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PolySet Theory
 http://www.rbjones.com/rbjpub/pp/doc/t020.pdf. p011.tex; 25/01/2010; 13:13; p.12 13
"... This document is concerned with the specification of an interpretation of the first order language of set theory. The purpose of this is to provide an ontological basis for foundation systems suitable for the formal derivation of mathematics. The ontology is to include the pure wellfounded sets of ..."
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Cited by 259 (2 self)
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This document is concerned with the specification of an interpretation of the first order language of set theory. The purpose of this is to provide an ontological basis for foundation systems suitable for the formal derivation of mathematics. The ontology is to include the pure wellfounded sets
Rough Sets.
 Int. J. of Information and Computer Sciences
, 1982
"... Abstract. This article presents some general remarks on rough sets and their place in general picture of research on vagueness and uncertainty concepts of utmost interest, for many years, for philosophers, mathematicians, logicians and recently also for computer scientists and engineers particular ..."
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Cited by 793 (13 self)
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particularly those working in such areas as AI, computational intelligence, intelligent systems, cognitive science, data mining and machine learning. Thus this article is intended to present some philosophical observations rather than to consider technical details or applications of rough set theory. Therefore
Building a Practically Useful Theory of Goal Setting and Task Motivation  A 35Year Odyssey
, 2002
"... The authors summarize 35 years of empirical research on goalsetting theory. They describe the core findings of the theory, the mechanisms by which goals operate, moderators of goal effects, the relation of goals and satisfaction, and the role of goals as mediators of incentives. The external validi ..."
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Cited by 501 (10 self)
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The authors summarize 35 years of empirical research on goalsetting theory. They describe the core findings of the theory, the mechanisms by which goals operate, moderators of goal effects, the relation of goals and satisfaction, and the role of goals as mediators of incentives. The external
Set theory
"... Set theory aims at proving interesting true statements about the mathematical universe. Different people interpret “interesting ” in different ways. It is well known that set theory comes from real analysis. Certainly, descriptive set theory, the study of properties of definable sets of reals, is an ..."
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Set theory aims at proving interesting true statements about the mathematical universe. Different people interpret “interesting ” in different ways. It is well known that set theory comes from real analysis. Certainly, descriptive set theory, the study of properties of definable sets of reals
Set Theory
, 2010
"... Set Theory deals with the fundamental concepts of sets and functions used everywhere in mathematics. Cantor initiated the study of set theory with his investigations on the cardinality of sets of real numbers. In particular, he proved that there are different infinite cardinalities: the quantity of ..."
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Set Theory deals with the fundamental concepts of sets and functions used everywhere in mathematics. Cantor initiated the study of set theory with his investigations on the cardinality of sets of real numbers. In particular, he proved that there are different infinite cardinalities: the quantity
Set Theory
"... Set Theory deals with the fundamental concepts of sets and functions used everywhere in mathematics. Cantor initiated the study of set theory with his investigations on the cardinality of sets of real numbers. In particular, he proved that there are different infinite cardinalities: the quantity of ..."
Abstract
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Set Theory deals with the fundamental concepts of sets and functions used everywhere in mathematics. Cantor initiated the study of set theory with his investigations on the cardinality of sets of real numbers. In particular, he proved that there are different infinite cardinalities: the quantity
A Theory of the Learnable
, 1984
"... Humans appear to be able to learn new concepts without needing to be programmed explicitly in any conventional sense. In this paper we regard learning as the phenomenon of knowledge acquisition in the absence of explicit programming. We give a precise methodology for studying this phenomenon from ..."
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Cited by 1985 (15 self)
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a computational viewpoint. It consists of choosing an appropriate information gathering mechanism, the learning protocol, and exploring the class of concepts that can be learnt using it in a reasonable (polynomial) number of steps. We find that inherent algorithmic complexity appears to set serious
Algebraic Graph Theory
, 2011
"... Algebraic graph theory comprises both the study of algebraic objects arising in connection with graphs, for example, automorphism groups of graphs along with the use of algebraic tools to establish interesting properties of combinatorial objects. One of the oldest themes in the area is the investiga ..."
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Cited by 892 (13 self)
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is the investigation of the relation between properties of a graph and the spectrum of its adjacency matrix. A central topic and important source of tools is the theory of association schemes. An association scheme is, roughly speaking, a collection of graphs on a common vertex set which fit together in a highly
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