Foundational Studies Selected Works
Author: Lev D. Beklemishev
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 684
ISBN-13: 0080955002
DOWNLOAD EBOOKFoundational Studies Selected Works
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Andrzej Mostowski and Foundational Studies
Author: A. Ehrenfeucht
Publisher: IOS Press
Published: 2008-03-06
Total Pages: 460
ISBN-13: 1607502720
DOWNLOAD EBOOKAndrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and human. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of foundations of mathematics. He is best known of the Kleene-Mostowski and Davis-Mostowski hierarchies of properties of integers reflecting the complexity of their definitions, and of the very elegant concept of a generalized quantifier which inspired and keeps stimulating a stream of deep work on fundamental issues of logics, deduction and reasoning both in mathematics and in computer science, and also of the contributions and excellent lectures on undecidability, unprovability, consistency and independence of various statements in set theory and arithmetic following Gödel, Tarski and Cohen. The overall content of the volume is designed to cover the current main streams in the field. For many years after WWII, especially in the late sixties, till his untimely death in 1975, Warsaw - where he led the centre of foundational studies - was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.
Foundational Research in Entrepreneurship Studies
Author: Golshan Javadian
Publisher: Springer
Published: 2018-04-23
Total Pages: 281
ISBN-13: 3319735284
DOWNLOAD EBOOKThis book draws attention to the classic, seminal articles in entrepreneurship that have made profound contributions to the field’s emergence, development, and maturity. In each chapter, a classic is identified, ideas contained therein that are still relevant to the field are discussed, and subsequently follow-up research that is being conducted based on these ideas is highlighted, including possible areas of future research. Scholars will embrace this systematic effort to identify and reveal the contribution of classic articles in entrepreneurship research and their impact on subsequent scholarship.
Foundational Studies
Author: Andrzej Mostowski
Publisher: Elsevier
Published: 1979
Total Pages: 615
ISBN-13: 0444851038
DOWNLOAD EBOOKProvability, Computability and Reflection.
Foundational Studies
Author: Lev D. Beklemishev
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 615
ISBN-13: 0080955010
DOWNLOAD EBOOKFoundational Studies
Recursive Functions and Metamathematics
Author: Roman Murawski
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 416
ISBN-13: 9401728666
DOWNLOAD EBOOKRecursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography. Readership: Scholars and advanced students of logic, mathematics, philosophy of science.
Foundational Theories of Classical and Constructive Mathematics
Author: Giovanni Sommaruga
Publisher: Springer Science & Business Media
Published: 2011-03-24
Total Pages: 312
ISBN-13: 9400704313
DOWNLOAD EBOOKThe book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.
Routledge Encyclopedia of Philosophy
Author: Edward Craig
Publisher:
Published: 1998
Total Pages: 920
ISBN-13: 9780415187121
DOWNLOAD EBOOKVolume seven of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
The Lvov-Warsaw School. Past and Present
Author: Ángel Garrido
Publisher: Birkhäuser
Published: 2018-06-12
Total Pages: 802
ISBN-13: 3319654306
DOWNLOAD EBOOKThis is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The papers range from historical considerations to new philosophical, logical and mathematical developments of this impressive School, including applications to Computer Science, Mathematics, Metalogic, Scientific and Analytic Philosophy, Theory of Models and Linguistics.
Trends in Logic
Author: Vincent F. Hendricks
Publisher: Springer Science & Business Media
Published: 2013-03-09
Total Pages: 387
ISBN-13: 9401735980
DOWNLOAD EBOOKIn 1953, exactly 50 years ago to this day, the first volume of Studia Logica appeared under the auspices of The Philosophical Committee of The Polish Academy of Sciences. Now, five decades later the present volume is dedicated to a celebration of this 50th Anniversary of Studia Logica. The volume features a series of papers by distinguished scholars reflecting both the aim and scope of this journal for symbolic logic.
