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Author: Luitzen Egbertus Jan Brouwer Publisher: Cambridge University Press ISBN: 9780521177368 Category : Mathematics Languages : en Pages : 130
Book Description
Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such as choice sequences, the continuum, the fan theorem, order and well-order. Brouwer's own powerful style is evident throughout the work.
Author: Luitzen Egbertus Jan Brouwer Publisher: Cambridge University Press ISBN: 9780521177368 Category : Mathematics Languages : en Pages : 130
Book Description
Luitzen Egburtus Jan Brouwer founded a school of thought whose aim was to include mathematics within the framework of intuitionistic philosophy; mathematics was to be regarded as an essentially free development of the human mind. What emerged diverged considerably at some points from tradition, but intuitionism has survived well the struggle between contending schools in the foundations of mathematics and exact philosophy. Originally published in 1981, this monograph contains a series of lectures dealing with most of the fundamental topics such as choice sequences, the continuum, the fan theorem, order and well-order. Brouwer's own powerful style is evident throughout the work.
Author: Kofi K. Dompere Publisher: Springer ISBN: 3319616390 Category : Technology & Engineering Languages : en Pages : 213
Book Description
This book discusses the development of a theory of info-statics as a sub-theory of the general theory of information. It describes the factors required to establish a definition of the concept of information that fixes the applicable boundaries of the phenomenon of information, its linguistic structure and scientific applications. The book establishes the definitional foundations of information and how the concepts of uncertainty, data, fact, evidence and evidential things are sequential derivatives of information as the primary category, which is a property of matter and energy. The sub-definitions are extended to include the concepts of possibility, probability, expectation, anticipation, surprise, discounting, forecasting, prediction and the nature of past-present-future information structures. It shows that the factors required to define the concept of information are those that allow differences and similarities to be established among universal objects over the ontological and epistemological spaces in terms of varieties and identities. These factors are characteristic and signal dispositions on the basis of which general definitional foundations are developed to construct the general information definition (GID). The book then demonstrates that this definition is applicable to all types of information over the ontological and epistemological spaces. It also defines the concepts of uncertainty, data, fact, evidence and knowledge based on the GID. Lastly, it uses set-theoretic analytics to enhance the definitional foundations, and shows the value of the theory of info-statics to establish varieties and categorial varieties at every point of time and thus initializes the construct of the theory of info-dynamics.
Author: Kumaraswamy Vela Velupillai Publisher: Routledge ISBN: 1134385463 Category : Business & Economics Languages : en Pages : 200
Book Description
Herbert Simon (1916-2001) is mostly celebrated for the theory of bounded rationality and satisficing. This book of essays on Models of Simon tackles these topics that the he broached in a professional career spanning more than 60 years. Expository material on the fundamental concepts he introduced are re-interpreted in terms of the theory of computability. This volume frames the behavioural issues of concern for economists, such as: hierarchy, causality, near-diagonal linear dynamical systems, discovery, the contrasts between the notion of heuristics, and the Church-Turing Thesis of Computability Theory. There is, consistently, an emphasis on the historical origins of the concepts Simon worked with, in emphasising Human Problem Solving and Decision Making – by rational individuals and institutions (like Organizations). The main feature of the results in the book are its emphasis on the procedural aspects of human problem solving, decision making and the remarkable way Simon harnessed many tools of mathematical logic, mathematics, cognitive sciences, economics and econometrics. This long-awaited volume is an important read for those who study economic theory and philosophy, microeconomics and political economy, as well as those interested in the great Herbert Simon’s work.
Author: Stuart G. Shanker Publisher: Taylor & Francis ISBN: 1000949699 Category : Philosophy Languages : en Pages : 508
Book Description
The twentieth century witnessed the birth of analytic philosophy. This volume covers some of its key movements and philosophers, including Frege and Wittgenstein's Tractatus.
Author: Kofi Kissi Dompere Publisher: Springer ISBN: 3030181596 Category : Technology & Engineering Languages : en Pages : 247
Book Description
This book presents an epistemic framework for dealing with information-knowledge and certainty-uncertainty problems within the space of quality-quantity dualities. It bridges between theoretical concepts of entropy and entropy measurements, proposing the concept and measurement of fuzzy-stochastic entropy that is applicable to all areas of knowing under human cognitive limitations over the epistemological space. The book builds on two previous monographs by the same author concerning theories of info-statics and info-dynamics, to deal with identification and transformation problems respectively. The theoretical framework is developed by using the toolboxes such as those of the principle of opposites, systems of actual-potential polarities and negative-positive dualities, under different cost-benefit time-structures. The category theory and the fuzzy paradigm of thought, under methodological constructionism-reductionism duality, are used in the fuzzy-stochastic and cost-benefit spaces to point to directions of global application in knowing, knowledge and decision-choice actions. Thus, the book is concerned with a general theory of entropy, showing how the fuzzy paradigm of thought is developed to deal with the problems of qualitative-quantitative uncertainties over the fuzzy-stochastic space, which will be applicable to conditions of soft-hard data, fact, evidence and knowledge over the spaces of problem-solution dualities, decision-choice actions in sciences, non-sciences, engineering and planning sciences to abstract acceptable information-knowledge elements.
Author: Peter Hacker Publisher: Anthem Press ISBN: 1785276859 Category : Philosophy Languages : en Pages : 438
Book Description
Peter Hacker’s Insight and Illusion is a thoroughly comprehensive examination of the evolution of Wittgenstein’s thought from the Tractatus to his later ‘mature’ phase. This is a reprint of the revised and corrected 1989 edition, with a new foreword by Constantine Sandis. Hacker’s book is now widely regarded as the best single volume study covering both the ‘early’ and the ‘later’ Wittgenstein. Until this third edition, the book had been out of print for 25 years.
Author: Luitzen Egbertus Jan Brouwer
Author: Luitzen Egbertus Jan Brouwer
Author: 
Author: Luitzen Egbertus Jan Brouwer
Author: Anne S. Troelstra
Author: Dirk Dalen
Author: Kofi K. Dompere
Author: Kumaraswamy Vela Velupillai
Author: Stuart G. Shanker
Author: Kofi Kissi Dompere
Author: Peter Hacker