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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Foundational Studies
Author: Andrzej Mostowski
Publisher: Elsevier
Published: 1979
Total Pages: 615
ISBN-13: 0444851038
DOWNLOAD EBOOKProvability, Computability and Reflection.
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 Studies
Author: Lev D. Beklemishev
Publisher: Elsevier
Published: 2000-04-01
Total Pages: 615
ISBN-13: 0080955010
DOWNLOAD EBOOKFoundational Studies
Semantics and Truth
Author: Jan Woleński
Publisher: Springer Nature
Published: 2020-01-01
Total Pages: 392
ISBN-13: 3030245365
DOWNLOAD EBOOKThe book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
Formal Approaches to Function in Grammar
Author: Andrew Carnie
Publisher: John Benjamins Publishing
Published: 2003-03-20
Total Pages: 390
ISBN-13: 9027296901
DOWNLOAD EBOOKThe contributions making up this volume in honor of Eloise Jelinek are written from a formalist perspective that deals with stereotypically functionalist questions about language. Jelinek's pioneering work in formalist syntax has shown that autonomous syntax need not exist in a vacuum. Her work has highlighted the importance of incorporating the effects of discourse and information structure on the syntactic representation. This book aims to invoke Jelinek's work either in substance or spirit. The focus is on Jelinek's influential Pronominal Argument Hypothesis as an "non-configurational" language; the influence of discourse-related interface phenomena on syntactic structure; the syntactic analysis of the grammaticalization; interactions between morphology, phonology and phonetics; and foundational issues about the link between formal grammar and function of language, as well as the methodological issues underlying the different approaches to linguistics.
The Philosophy of Mathematics and Logic in the 1920s and 1930s in Poland
Author: Roman Murawski
Publisher: Springer
Published: 2014-08-27
Total Pages: 235
ISBN-13: 3034808313
DOWNLOAD EBOOKThe aim of this book is to present and analyze philosophical conceptions concerning mathematics and logic as formulated by Polish logicians, mathematicians and philosophers in the 1920s and 1930s. It was a remarkable period in the history of Polish science, in particular in the history of Polish logic and mathematics. Therefore, it is justified to ask whether and to what extent the development of logic and mathematics was accompanied by a philosophical reflection. We try to answer those questions by analyzing both works of Polish logicians and mathematicians who have a philosophical temperament as well as their research practice. Works and philosophical views of the following Polish scientists will be analyzed: Wacław Sierpiński, Zygmunt Janiszewski, Stefan Mazurkiewicz, Stefan Banach Hugo Steinhaus, Eustachy Żylińsk and Leon Chwistek, Jan Łukasiewicz, Zygmunt Zawirski, Stanisław Leśniewski, Tadeusz Kotarbiński, Kazimierz Ajdukiewicz, Alfred Tarski, Andrzej Mostowski and Henryk Mehlberg, Jan Sleszyński, Stanisław Zaremba and Witold Wilkosz. To indicate the background of scientists being active in the 1920s and 1930s we consider in Chapter 1 some predecessors, in particular: Jan Śniadecki, Józef Maria Hoene-Wroński, Samuel Dickstein and Edward Stamm.
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.
Philosophy and Logic in Central Europe from Bolzano to Tarski
Author: Peter M. Simons
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 448
ISBN-13: 9401580944
DOWNLOAD EBOOKways of doing it, but it is wrong to project it far into the past: it did not exist at the turn of the century and only became clearly apparent after the Second World War. I recently taught at an American university on the his tory of philosophy from Balzano to Husserl. The course title had to come from a fixed pool and gave trouble. Was it philosophical logic, the nine teenth century, or phenomenology? A logic title would connote over this period Frege, Russell, Carnap, perhaps a mention of Boole: not continental enough. The nineteenth century? The century of Kant's successors: Fichte, Hegel, Schopenhauer, Feuer bach, Marx, Nietzsche? What have they to do with Balzano, Lotze, Brentano, Meinong, Husserl and Twardowski? Even tually 'Phenomenology' was chosen, misdescribing more than half of the course. That illustrates the problems one faces in trying to work against the picture of the period which is ingrained in minds and syllabuses. This book arises from my efforts to combat that picture. I backed into writing about the history of recent philosophy rather than setting out to do so. The beginning was chance. In Manchester in the early seventies, at a time when most English philosophy departments breathed re cycled Oxford air, the intellectual atmosphere derived from Cambridge and Warsaw, spiced with a breath of Freiburg and Paris.
Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language
Author: Alessandro Torza
Publisher: Springer
Published: 2015-07-23
Total Pages: 526
ISBN-13: 3319183621
DOWNLOAD EBOOKThis volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology and even the history of philosophy. It discusses the import of quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap. The volume further examines what it means that a quantifier can have multiple meanings and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts.
