Cognitive Set Theory PDF Download
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Author: Alec Rogers
Publisher: ArborRhythms
ISBN: 0983037612
Category : Psychology
Languages : en
Pages : 288
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Book Description
Cognitive Set Theory applies mereology and set theory to perception and thought. Using generic concepts such as part, whole, and reference, it explores the physical, perceptual, and conceptual universes. This book appeals to an audience at the crossroads of psychology, linguistics, logic, mathematics, and philosophy. It is accessible to anyone, and relies heavily on hierarchy and diagrams to illustrate key points.
Author: Alec Rogers
Publisher: ArborRhythms
ISBN: 0983037612
Category : Psychology
Languages : en
Pages : 288
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Book Description
Cognitive Set Theory applies mereology and set theory to perception and thought. Using generic concepts such as part, whole, and reference, it explores the physical, perceptual, and conceptual universes. This book appeals to an audience at the crossroads of psychology, linguistics, logic, mathematics, and philosophy. It is accessible to anyone, and relies heavily on hierarchy and diagrams to illustrate key points.
Author: Luca Incurvati
Publisher: Cambridge University Press
ISBN: 1108497829
Category : History
Languages : en
Pages : 255
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Book Description
Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Author: Christopher Michael Langan
Publisher: Mega Foundation Press
ISBN: 0971916225
Category : Philosophy
Languages : en
Pages : 94
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Book Description
Paperback version of the 2002 paper published in the journal Progress in Information, Complexity, and Design (PCID). ABSTRACT Inasmuch as science is observational or perceptual in nature, the goal of providing a scientific model and mechanism for the evolution of complex systems ultimately requires a supporting theory of reality of which perception itself is the model (or theory-to-universe mapping). Where information is the abstract currency of perception, such a theory must incorporate the theory of information while extending the information concept to incorporate reflexive self-processing in order to achieve an intrinsic (self-contained) description of reality. This extension is associated with a limiting formulation of model theory identifying mental and physical reality, resulting in a reflexively self-generating, self-modeling theory of reality identical to its universe on the syntactic level. By the nature of its derivation, this theory, the Cognitive Theoretic Model of the Universe or CTMU, can be regarded as a supertautological reality-theoretic extension of logic. Uniting the theory of reality with an advanced form of computational language theory, the CTMU describes reality as a Self Configuring Self-Processing Language or SCSPL, a reflexive intrinsic language characterized not only by self-reference and recursive self-definition, but full self-configuration and self-execution (reflexive read-write functionality). SCSPL reality embodies a dual-aspect monism consisting of infocognition, self-transducing information residing in self-recognizing SCSPL elements called syntactic operators. The CTMU identifies itself with the structure of these operators and thus with the distributive syntax of its self-modeling SCSPL universe, including the reflexive grammar by which the universe refines itself from unbound telesis or UBT, a primordial realm of infocognitive potential free of informational constraint. Under the guidance of a limiting (intrinsic) form of anthropic principle called the Telic Principle, SCSPL evolves by telic recursion, jointly configuring syntax and state while maximizing a generalized self-selection parameter and adjusting on the fly to freely-changing internal conditions. SCSPL relates space, time and object by means of conspansive duality and conspansion, an SCSPL-grammatical process featuring an alternation between dual phases of existence associated with design and actualization and related to the familiar wave-particle duality of quantum mechanics. By distributing the design phase of reality over the actualization phase, conspansive spacetime also provides a distributed mechanism for Intelligent Design, adjoining to the restrictive principle of natural selection a basic means of generating information and complexity. Addressing physical evolution on not only the biological but cosmic level, the CTMU addresses the most evident deficiencies and paradoxes associated with conventional discrete and continuum models of reality, including temporal directionality and accelerating cosmic expansion, while preserving virtually all of the major benefits of current scientific and mathematical paradigms.
Author: George Lakoff
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 520
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Book Description
A study of the cognitive science of mathematical ideas.
Author: Abraham Adolf Fraenkel
Publisher:
ISBN:
Category :
Languages : en
Pages : 297
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Book Description
Author: Michael Hallett
Publisher: Oxford University Press
ISBN: 9780198532835
Category : Mathematics
Languages : en
Pages : 372
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Book Description
Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity. The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.
Author: Mark K. Singley
Publisher: Harvard University Press
ISBN: 9780674903401
Category : Education
Languages : en
Pages : 330
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Book Description
The issue of the transfer of learning from one domain to another is a classic problem in psychology and an educational question of great importance, which this book sets out to solve through a theory of transfer based on a comprehensive theory of skill acquisition.
Author: Nicholas Shea
Publisher: OUP Oxford
ISBN: 0198812884
Category : Philosophy
Languages : en
Pages : 305
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Book Description
Our thoughts are meaningful. We think about things in the outside world; how can that be so? This is one of the deepest questions in contemporary philosophy. Ever since the 'cognitive revolution', states with meaning-mental representations-have been the key explanatory construct of the cognitive sciences. But there is still no widely accepted theory of how mental representations get their meaning. Powerful new methods in cognitive neuroscience can now reveal information processing in the brain in unprecedented detail. They show how the brain performs complex calculations on neural representations. Drawing on this cutting-edge research, Nicholas Shea uses a series of case studies from the cognitive sciences to develop a naturalistic account of the nature of mental representation. His approach is distinctive in focusing firmly on the 'subpersonal' representations that pervade so much of cognitive science. The diversity and depth of the case studies, illustrated by numerous figures, make this book unlike any previous treatment. It is important reading for philosophers of psychology and philosophers of mind, and of considerable interest to researchers throughout the cognitive sciences.
Author: Judith Roitman
Publisher: John Wiley & Sons
ISBN: 9780471635192
Category : Mathematics
Languages : en
Pages : 188
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Book Description
This is modern set theory from the ground up--from partial orderings and well-ordered sets to models, infinite cobinatorics and large cardinals. The approach is unique, providing rigorous treatment of basic set-theoretic methods, while integrating advanced material such as independence results, throughout. The presentation incorporates much interesting historical material and no background in mathematical logic is assumed. Treatment is self-contained, featuring theorem proofs supported by diagrams, examples and exercises. Includes applications of set theory to other branches of mathematics.
Author: Seymour Epstein
Publisher: Oxford University Press
ISBN: 0199927553
Category : Medical
Languages : en
Pages : 370
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Book Description
In this book, Epstein presents a new theory of personality, referred to as cognitive-experiential theory (CET), that is integrative of all other major personality theories.
