Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and Analysis
This book provides the reader with the basic modal logical tools necessary to read On the Logic of Modalities and gives a sketch of Lewis’s Logic S3, which is the target of Becker’s essay, in the modal logical symbolism that is current nowadays. Next, two extensions of S3 proposed by Oskar Becker are presented and all objections raised by Kurt Gödel in his Review of Becker 1930: On the Logic of Modalities (1931)] are considered with the aim of correcting some historical misunderstandings related to them.
Oskar Becker on Modalities
The history of modern modal logic is all too often presented as an American success story that started with the work of the Harvard philosopher C. I. Lewis, while prewar modal logic research in Europe is passed off as a side-show of well-intended failures. As a contribute towards correcting this picture, we carefully analyze and reconsider Oskar Becker’s pioneering work On the Logic of Modalities (1930), highlighting its influence on the early development of modal logic in the decade 1930 - 1940.
Studien zu Bolzano
Stefania Centrones Studien zu Bolzano umfassen sieben Aufsätze zu verschiedenen Aspekten von Bernard Bolzanos philosophischer Logik. Sie umspannen Bolzanos Frühwerk wie auch seine spätere Schaffensphase. Centrone widmet sich dabei sowohl Bolzanos Ontologie als auch seiner Philosophie des Geistes. Dank dem Einsatz formaler Instrumente der zeitgenössischen analytischen Philosophie stellt sie Bolzanos jeweilige Ideen in bestechender Klarheit dar. Nicht zuletzt liefert Centrone mit einem Vergleich des böhmischen Leibniz - wie Bolzano auch genannt wurde – zu G.W. Leibniz und E. Husserl ein erhellendes Bild von Bolzanos Stellung in der Philosophiegeschichte.
Logic and Philosophy of Mathematics in Early Husserl
Logic and Philosophy of Mathematics in 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 G.W. Leibniz, Bernard Bolzano, the logical algebraists (especially George Boole and Ernst Schröder), Gottlob Frege, David 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 is 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.
Foreword: Peter Simons.
- – Philosophia Mathematica 18 (2010)
- – Zentralblatt MATH (2010)
- – Dialectica 65 (2011)
- – Proceedings of the 42nd Annual Husserl Meeting (2011)
- – The Mathematical Intelligencer 34 (2012)
- – The New Yearbook for Phenomenology and Phenomenological Philosophy XII (2012)
- – Devenires 25/26 (2012)
- – Husserl Studies (2013)
- – Mathematical Reviews (2014)