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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl's early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl's logico-mathematical work.The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl's Nachlaß that have not yet been the object of systematical scrutiny.This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.…

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl's work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl's early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl's logico-mathematical work.The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl's Nachlaß that have not yet been the object of systematical scrutiny.This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.…

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto be 'the science of all things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.…

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers the first-ever English translation of Oskar Becker'sZur Logik der Modalitäten. Thisessay, published in 1930, is a pioneering yet often neglected contribution in the context of prewar modal logic research in Europe. Becker's text is complemented by an extended commentary that explains, analyzes and highlights Becker's accomplishments and the philosophical background of his investigations.The commentary provides an in-depth analysis of all of Becker's important contributions, both from a philosophical and logical perspective, making it a very useful book for scholars in both philosophy and logic.…

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book offers the first-ever English translation of Oskar Becker'sZur Logik der Modalitäten. Thisessay, published in 1930, is a pioneering yet often neglected contribution in the context of prewar modal logic research in Europe. Becker's text is complemented by an extended commentary that explains, analyzes and highlights Becker's accomplishments and the philosophical background of his investigations.The commentary provides an in-depth analysis of all of Becker's important contributions, both from a philosophical and logical perspective, making it a very useful book for scholars in both philosophy and logic.…

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Husserls Werk ist an begrifflichen Herausforderungen gewiss nicht arm, was durchaus seiner messianischen Überzeugung entspricht, »dass aus meiner Lebensarbeit eine völlige Umwälzung des ganzen Stils, der notwendigen Problemstellung der gesamten Philosophie der Jahrtausende hervorgeht«.Dieser Band versammelt acht leicht verständliche Interpretationen namhafter Husserl-Forscher zu den zentralen Begriffen der Intentionalität, Reflexion, Eidetik und Evidenz, zur Rolle des Handelns, zum Personenverstehen und zur Rechtfertigung sowie zu Husserls Position im Psychologismus-Streit. Zugleich versuchen die Autoren, die Diskussionsgrundlagen zwischen Husserl und einigen seiner wichtigsten und einflussreichsten Gesprächspartner wiederherzustellen: Bernard Bolzano, Franz Brentano, Gottlob Frege, Martin Heidegger und Ludwig Wittgenstein. Ergänzt wird der Band durch einen Abriss zu Husserls Leben, Werk und Wirkung.Mit Beiträgen von: Christian Beyer, Stefania Centrone, Dagfinn Føllesdal, George Heffernan, Wolfgang Künne, Eduard Marbach und Markus Stepanians.…

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In a fragment entitledElementa Nova Matheseos Universalis(1683 ) Leibniz writes 'themathesis[.]shall deliver the method through which things that are conceivable can be exactly determined'; in another fragment he takes themathesisto be 'the science of all things that are conceivable.' Leibniz considers all mathematical disciplines as branches of themathesisand conceives themathesisas a general science of forms applicable not only to magnitudes but to every object that exists in our imagination, i.e. that is possible at least in principle. As a general science of forms themathesisinvestigates possible relations between 'arbitrary objects' ('objets quelconques'). It is an abstract theory of combinations and relations among objects whatsoever.In 1810 the mathematician and philosopher Bernard Bolzano published a booklet entitledContributions to a Better-Grounded Presentation of Mathematics.There is, according to him, acertain objective connectionamong the truths that are germane to a certain homogeneous field of objects: some truths are the 'reasons' ('Gründe') of others, and the latter are 'consequences' ('Folgen') of the former. The reason-consequence relation seems to be the counterpart of causality at the level of a relation between true propositions. Arigorous proofis characterized in this context as a proof that shows the reason of the proposition that is to be proven. Requirements imposed on rigorous proofs seem to anticipate normalization results in current proof theory.The contributors ofMathesis Universalis, Computability and Proof,leading experts in the fields of computer science, mathematics, logic and philosophy, show the evolution of these and related ideas exploring topics in proof theory, computability theory, intuitionisticlogic, constructivism and reverse mathematics, delving deeply into a contextual examination of the relationship between mathematical rigor and demands for simplification.…

Taschenbuch. Zustand: Neu. Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and Analysis | Stefania Centrone (u. a.) | Taschenbuch | xii | Englisch | 2023 | Springer | EAN 9783030875503 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Zustand: Neu. Mathesis Universalis, Computability and Proof | Stefania Centrone (u. a.) | Taschenbuch | x | Englisch | 2020 | Springer | EAN 9783030204495 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Essays on Husserl's Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl's work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl's by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar - e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege - and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expertof the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.…

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