A Precis of Mathematical Logic

A Precis of Mathematical Logic PDF Author: J.M. Bochenski
Publisher: Springer Science & Business Media
ISBN: 9401705925
Category : Philosophy
Languages : en
Pages : 109

Get Book Here

Book Description
The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.

A Precis of Mathematical Logic

A Precis of Mathematical Logic PDF Author: J.M. Bochenski
Publisher: Springer Science & Business Media
ISBN: 9401705925
Category : Philosophy
Languages : en
Pages : 109

Get Book Here

Book Description
The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.

Causality, Correlation And Artificial Intelligence For Rational Decision Making

Causality, Correlation And Artificial Intelligence For Rational Decision Making PDF Author: Tshilidzi Marwala
Publisher: World Scientific
ISBN: 9814630888
Category : Computers
Languages : en
Pages : 207

Get Book Here

Book Description
Causality has been a subject of study for a long time. Often causality is confused with correlation. Human intuition has evolved such that it has learned to identify causality through correlation. In this book, four main themes are considered and these are causality, correlation, artificial intelligence and decision making. A correlation machine is defined and built using multi-layer perceptron network, principal component analysis, Gaussian Mixture models, genetic algorithms, expectation maximization technique, simulated annealing and particle swarm optimization. Furthermore, a causal machine is defined and built using multi-layer perceptron, radial basis function, Bayesian statistics and Hybrid Monte Carlo methods. Both these machines are used to build a Granger non-linear causality model. In addition, the Neyman-Rubin, Pearl and Granger causal models are studied and are unified. The automatic relevance determination is also applied to extend Granger causality framework to the non-linear domain. The concept of rational decision making is studied, and the theory of flexibly-bounded rationality is used to extend the theory of bounded rationality within the principle of the indivisibility of rationality. The theory of the marginalization of irrationality for decision making is also introduced to deal with satisficing within irrational conditions. The methods proposed are applied in biomedical engineering, condition monitoring and for modelling interstate conflict.

The Journal of Symbolic Logic

The Journal of Symbolic Logic PDF Author: Alonzo Church
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 544

Get Book Here

Book Description
Includes lists of members.

Dictionary Catalog of the University Library, 1919-1962

Dictionary Catalog of the University Library, 1919-1962 PDF Author: University of California, Los Angeles. Library
Publisher:
ISBN:
Category : Library catalogs
Languages : en
Pages : 1030

Get Book Here

Book Description


Metalogical Studies in Sixth Century Buddhist Proto-metalogic from the Sanskrit and Chinese Texts of the Nyāyapraveśa

Metalogical Studies in Sixth Century Buddhist Proto-metalogic from the Sanskrit and Chinese Texts of the Nyāyapraveśa PDF Author: Douglas Dunsmore Daye
Publisher:
ISBN:
Category : Buddhist logic
Languages : en
Pages : 454

Get Book Here

Book Description


New Technical Books

New Technical Books PDF Author: New York Public Library
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 394

Get Book Here

Book Description


Mathematica Scandinavica

Mathematica Scandinavica PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 906

Get Book Here

Book Description


Logic

Logic PDF Author: Patrick K. Bastable
Publisher: Gill
ISBN:
Category : Logic
Languages : en
Pages : 448

Get Book Here

Book Description


Notices of the American Mathematical Society

Notices of the American Mathematical Society PDF Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 824

Get Book Here

Book Description


Mind

Mind PDF Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 592

Get Book Here

Book Description
A journal of philosophy covering epistemology, metaphysics, philosophy of language, philosophy of logic, and philosophy of mind.