Essays Tagged: "Set theory"
Georg Cantor
I. Georg CantorGeorg Cantor founded set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers. He ... ix children.It was in that same year of 1874 that Cantor published his first paper on the theory of sets. While studying a problem in analysis, he had dug deeply into its foundations, especially sets ... tudying a problem in analysis, he had dug deeply into its foundations, especially sets and infinite sets. What he found baffled him. In a series of papers from 1874 to 1897, he was able to prove that ...
Subjects: Science Essays > Mathematics
Georg Cantor
I. Georg CantorGeorg Cantor founded set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers. He ... ix children.It was in that same year of 1874 that Cantor published his first paper on the theory of sets. While studying a problem in analysis, he had dug deeply into its foundations, especially sets ... tudying a problem in analysis, he had dug deeply into its foundations, especially sets and infinite sets. What he found baffled him. In a series of papers from 1874 to 1897, he was able to prove that ...
Subjects: Science Essays > Mathematics
The Quantum of Continuity
ess. The number of points in a line served as the logical floodgate which led to the development of Set Theory by Cantor at the end of the 19th century. It took almost another century to demonstrate t ... ment. The other pole, the quantized model of the world conveniently gives rise to the complementary set of concepts : quantity, causality, observation, (classic) measurement, language, events, quants, ...
Subjects: Science Essays > Physics
The Essence of Problem-Solving in Algebra
ological fact of the existence of an intuition which is sufficiently clear to produce the axioms of set theory and of an open series of extensions of them suffices to give meaning to the question of t ... e, however, perhaps more than anything else, justifies the acceptance of this criterion of truth in set theory is the fact that continued appeals to mathematical intuition are necessary not only for o ...
Subjects: Science Essays > Mathematics
Understanding perceptual sets
A Perceptual set theory stresses the idea of perception as an active process involving selection, inference and i ... ea of perception as an active process involving selection, inference and interpretation. Perceptual set is a readiness to perceive certain aspects of available sensory data and to ignore others. Tunin ... can add to our understanding of tuning the visual system by clarifying the importance of perceptual set. Through this study, we can see how our sensory input bounces off our experiences and our schema ...
Subjects: Social Science Essays > Psychology
math1
chapter 1 : the set theoryObjectives:After the lesson, the student will be able to:Internalize the definition of ter ... ctives:After the lesson, the student will be able to:Internalize the definition of terms related to Set Theory.Understand some basic concepts in Set Theory, describing sets, elements, Venn diagrams an ... concepts in Set Theory, describing sets, elements, Venn diagrams and the union and intersection of sets.Construct and use Venn diagrams to show subsets, complements, and the intersection and union of ...
Subjects: Art Essays