Empiricism, Logic and Mathematics

Empiricism, Logic and Mathematics PDF Author: Hans Hahn
Publisher: Springer Science & Business Media
ISBN: 9400989822
Category : Science
Languages : en
Pages : 159

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Book Description
The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the Mach-Boltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan.

Empiricism, Logic and Mathematics

Empiricism, Logic and Mathematics PDF Author: Hans Hahn
Publisher: Springer Science & Business Media
ISBN: 9400989822
Category : Science
Languages : en
Pages : 159

Get Book Here

Book Description
The role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the Mach-Boltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan.

The Cambridge Companion to Logical Empiricism

The Cambridge Companion to Logical Empiricism PDF Author: Alan Richardson
Publisher: Cambridge University Press
ISBN: 1139826433
Category : Philosophy
Languages : en
Pages : 624

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Book Description
If there is a movement or school that epitomizes analytic philosophy in the middle of the twentieth century, it is logical empiricism. Logical empiricists created a scientifically and technically informed philosophy of science, established mathematical logic as a topic in and tool for philosophy, and initiated the project of formal semantics. Accounts of analytic philosophy written in the middle of the twentieth century gave logical empiricism a central place in the project. The second wave of interpretative accounts was constructed to show how philosophy should progress, or had progressed, beyond logical empiricism. The essays survey the formative stages of logical empiricism in central Europe and its acculturation in North America, discussing its main topics, and achievements and failures, in different areas of philosophy of science, and assessing its influence on philosophy, past, present, and future.

The Oxford Handbook of Philosophy of Mathematics and Logic

The Oxford Handbook of Philosophy of Mathematics and Logic PDF Author: Stewart Shapiro
Publisher: OUP USA
ISBN: 0195148770
Category : Mathematics
Languages : en
Pages : 850

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Book Description
Covers the state of the art in the philosophy of maths and logic, giving the reader an overview of the major problems, positions, and battle lines. The chapters in this book contain both exposition and criticism as well as substantial development of their own positions. It also includes a bibliography.

Logical Empiricism at Its Peak

Logical Empiricism at Its Peak PDF Author: Maria Neurath
Publisher: Routledge
ISBN: 1000525066
Category : Philosophy
Languages : en
Pages : 424

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Book Description
First Published in 1996. This volume reprints pieces from the Vienna Circle period between the manifesto and the adoption of semantics, as well as two commentaries. During this period, the logical empiricists were the most ambitious and the most confident about the success of their enterprise. The first section consists of four ideological classics, The second section reprints three papers on physicalism. The third section consists of three papers on logic and the fourth on reprints three papers on truth, induction, and confirmation.

On Theories

On Theories PDF Author: William Demopoulos
Publisher: Harvard University Press
ISBN: 0674237579
Category : Science
Languages : en
Pages : 273

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Book Description
A renowned philosopherÕs final work, illuminating how the logical empiricist tradition has failed to appreciate the role of actual experiments in forming its philosophy of science. The logical empiricist treatment of physics dominated twentieth-century philosophy of science. But the logical empiricist tradition, for all it accomplished, does not do justice to the way in which empirical evidence functions in modern physics. In his final work, the late philosopher of science William Demopoulos contends that philosophers have failed to provide an adequate epistemology of science because they have failed to appreciate the tightly woven character of theory and evidence. As a consequence, theory comes apart from evidence. This trouble is nowhere more evident than in theorizing about particle and quantum physics. Arguing that we must consider actual experiments as they have unfolded across history, Demopoulos provides a new epistemology of theories and evidence, albeit one that stands on the shoulders of giants. On Theories finds clarity in Isaac NewtonÕs suspicion of mere Òhypotheses.Ó NewtonÕs methodology lies in the background of Jean PerrinÕs experimental investigations of molecular reality and of the subatomic investigations of J. J. Thomson and Robert Millikan. Demopoulos extends this account to offer novel insights into the distinctive nature of quantum reality, where a logico-mathematical reconstruction of Bohrian complementarity meets John Stewart BellÕs empirical analysis of EinsteinÕs Òlocal realism.Ó On Theories ultimately provides a new interpretation of quantum probabilities as themselves objectively representing empirical reality.

After Gödel

After Gödel PDF Author: Richard Tieszen
Publisher: OUP Oxford
ISBN: 0191619310
Category : Philosophy
Languages : en
Pages : 258

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Book Description
Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. As well as providing discussions of Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Gödel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism.

The Logic in Philosophy of Science

The Logic in Philosophy of Science PDF Author: Hans Halvorson
Publisher: Cambridge University Press
ISBN: 1107110998
Category : Philosophy
Languages : en
Pages : 305

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Book Description
Reconsiders the role of formal logic in the analytic approach to philosophy, using cutting-edge mathematical techniques to elucidate twentieth-century debates.

The Routledge Handbook of Logical Empiricism

The Routledge Handbook of Logical Empiricism PDF Author: Thomas Uebel
Publisher: Routledge
ISBN: 1317307623
Category : Philosophy
Languages : en
Pages : 533

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Book Description
Logical empiricism is a philosophical movement that flourished in the 1920s and 30s in Central Europe and in the 1940s and 50s in the United States. With its stated ambition to comprehend the revolutionary advances in the empirical and formal sciences of their day and to confront anti-modernist challenges to scientific reason itself, logical empiricism was never uncontroversial. Uniting key thinkers who often disagreed with one another but shared the aim to conceive of philosophy as part of the scientific enterprise, it left a rich and varied legacy that has only begun to be explored relatively recently. The Routledge Handbook of Logical Empiricism is an outstanding reference source to this challenging subject area, and the first collection of its kind. Comprising 41 chapters written by an international and interdisciplinary team of contributors, the Handbook is organized into four clear parts: The Cultural, Scientific and Philosophical Context and the Development of Logical Empiricism Characteristic Theses of and Specific Issues in Logical Empiricism Relations to Philosophical Contemporaries Leading Post-Positivist Criticisms and Legacy Essential reading for students and researchers in the history of twentieth-century philosophy, especially the history of analytical philosophy and the history of philosophy of science, the Handbook will also be of interest to those working in related areas of philosophy influenced by this important movement, including metaphysics and epistemology, philosophy of mind and philosophy of language.

Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy PDF Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 224

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Book Description


A Companion to the Philosophy of Science

A Companion to the Philosophy of Science PDF Author: W. H. Newton-Smith
Publisher: Wiley-Blackwell
ISBN: 9780631230205
Category : Science
Languages : en
Pages : 596

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Book Description
Unmatched in the quality of its world-renowned contributors, this companion serves as both a course text and a reference book across the broad spectrum of issues of concern to the philosophy of science.