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Halbach Volker: The Definition of
Logical Validity

The Definition of Logical Validity

Princeton Mathematical Series

Princeton Legacy Library

An authoritative introduction to the essential features of étale cohomology A. Grothendieck’s work on algebraic geometry is one of the most important mathematical achievements of the twentieth century. In the early 1960s, he and M. Artin introduced étale cohomology to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry but also in several different branches of number theory and in the representation theory of finite and p-adic groups. In this classic book, James Milne provides an invaluable introduction to étale cohomology, covering the essential features of the theory. Milne begins with a review of the basic properties of flat and étale morphisms and the algebraic fundamental group. He then turns to the basic theory of étale sheaves and elementary étale cohomology, followed by an application of the cohomology to the study of the Brauer group. After a detailed analysis of the cohomology of curves and surfaces, Milne proves the fundamental theorems in étale cohomology—those of base change, purity, Poincaré duality, and the Lefschetz trace formula—and applies these theorems to show the rationality of some very general L-series.

Étale Cohomology

Leibniz from Oxford

This volume gathers together the philosophical journal articles that appeared during Leibniz's lifetime, as a companion to Leibniz: Journal Articles on Natural Philosophy (OUP, 2023). The articles include seminal original works, responses to criticisms, and series of critical discussions of Descartes and Cartesian philosophy.

Leibniz: Journal Articles on Philosophy

Navigating Across Mathematical Cultures And Times: Exploring The Diversity Of Discoveries And Proofs

"Deflationary" theories are views about truth that are often, but not always, characterized as accounts that accept the utility of the truth predicate without granting the metaphysical or epistemological assumptions that usually go along with it. The Deflationary Approach to Truth: A Guide presents a detailed, up-to-date, and historically informed survey and critical explication of the deflationary approach to the topic of truth, paying special attention to the wide range of different deflationary theories.

A Guide

The Deflationary Approach to Truth

Focusing on moments of continuity and rupture, as well as the thin lines of fracture in Critical philosophy itself, Metaphysics of Nature and Failure in Kant's Opus postumum navigates the rough terrain of Kant's final thoughts. Terrence Thomson argues that Opus postumum constitutes Kant's last attempt to deliver on the promise of a system of speculative reason in a work called 'metaphysics of nature'. He journeys through the drafts left on Kant's desk when he died to encounter their failure to establish this work rather than their projected success. Far from this signaling that we give up on serious study of the Opus postumum, however, Thomson shows how failure is not something Kant shied away from but rather embraced as fuel for his continued thinking. Indeed, it is this failure that opens the door to a greater understanding of the dissonances at the core of Critical philosophy itself. Moreover, it indicates what it means to be in the process of philosophizing and that Kant was well-aware that to think often means to repeatedly fail. Suggesting how the very call for a metaphysics to be established upon the Critical philosophy can only ever fail to abide by the threshold it sets up, this book offers a new perspective on the central bind Kant repeatedly confronts in Opus postumum within the modern European tradition of philosophy. To deliver the system of metaphysics Kant calls for means to transgress the bounds of Critical philosophy, but to attempt to deliver it is nonetheless an unavoidable part of Critical philosophy itself.

Metaphysics of Nature and Failure in Kant's Opus postumum

Jewish Lives

The first biography in more than three decades of the Austrian-born thinker Ludwig Wittgenstein, one of the most influential philosophers of the twentieth century &nbsp; According to the philosopher Ludwig Wittgenstein (1889–1951), philosophy is a “battle against the bewitchment of our intelligence by means of language.” This audacious idea changed the way many of its practitioners saw their subject. In the first biography of Wittgenstein in more than three decades, Anthony Gottlieb evaluates this revolutionary idea, explaining the evolution of Wittgenstein’s thought and his place in the history of philosophy. &nbsp; Wittgenstein was born into an immensely rich Viennese family but yearned to live a simple life, and he gave away his inheritance. After studying with Bertrand Russell in Cambridge, he wrote his famous Tractatus Logico-Philosophicus while serving in World War I. He then took several positions as a primary-school teacher in rural Austria before returning as a fellow to Cambridge, where a cultlike following developed around him. Wittgenstein worked not only as a philosopher and schoolteacher, but also as an aeronautical engineer in Manchester and as an architect in Vienna. &nbsp; Gottlieb’s meticulously researched book traces the itinerant and troubled life of Wittgenstein, the development of his influential ideas, and the Viennese intellectual milieu and family background that shaped him.

Philosophy in the Age of Airplanes

Ludwig Wittgenstein

A Memoir

Building Things

Indo-Arabic Numerals and the Making of Practical Knowledge in Early Modern Europe

Working Numbers

New Essays on Normative Realism

Cambridge Critical Guides

This Critical Guide to Ockham's seminal philosophical masterpiece on logic, language, and ontology is the first collection of essays devoted to the work. It covers a range of topics, providing both fresh perspectives on existing debates and new contributions on topics that have not yet entered mainstream scholarship on Ockham.

A Critical Guide

Ockham's ‘Summa Logicae'

Spectral Realism and the Logic of Addition

Memory Assemblages

Dieses Buch deckt alle relevanten mathematischen Themen eines Grundstudiums der Natur- oder Ingenieurwissenschaften ab, von der Analysis (inklusive einer ausführlichen Behandlung gewöhnlicher Differentialgleichungen mitsamt Modellierungsaspekten) und der linearen Algebra bis hin zu den wichtigsten Lösungsmethoden für partielle Differentialgleichungen. Das selbstständige Erlernen der Inhalte wird durch zahlreiche anwendungs- und praxisrelevante Beispiele motiviert und durch interaktive Aufgaben, verlinkte Videos und Repetitionsfragen gefördert. 
 Außerdem werden die Studierenden durch direkt in den entsprechenden Programmen bearbeitbare Dateien befähigt, mit den gängigsten Computer-Algebra-Systemen zu arbeiten, wodurch die eigene Auseinandersetzung mit der Materie weiter unterstützt wird.
 Insgesamt wird hier nicht nur eine äußerst geschickte didaktische Herangehensweise an die Mathematik umgesetzt, sondern die Themen werden zudem mit modernsten multimedialen Mitteln aufbereitet.&nbsp;&nbsp;Die AutorinDr. Laura Keller
 ist Senior Scientist an der ETH Zürich, also einerseits als Dozentin und andererseits als Forscherin tätig. Insbesondere hält sie seit mehreren Jahren Grundstudium-Mathematik-Vorlesungen für Studierende, die Mathematik nicht als Hauptfach belegen. Diese Vorlesungen sind bei den Studierenden nicht zuletzt wegen des großen didaktischen Geschicks der Dozentin und den vielen Praxisbezügen sehr geschätzt.

für Naturwissenschaftler, Ingenieure und Mediziner

Mathematik interaktiv und verständlich

The Definition of Logical Validity

Informations bibliographiques

Mots-clés

Informations bibliographiques

Mots-clés

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