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Essays on Husserl's Logic and Philosophy of Mathematics

Part of the Synthese Library Book Series (volume 384)

Editors: Centrone, Stefania

DOI: 10.1007/978-94-024-1132-4

ISBN: 978-94-024-1130-0

Publisher: Springer Netherlands - Springer Journals

Sep 8, 2017

1 - 10 of 17 Chapters

Available

Husserl and Leibniz: Notes on the Mathesis Universalis

Centrone, Stefania; Da Silva, Jairo José

Pages: 1 –23

[The notion of mathesis universalis appears in many of Edmund Husserl’s works, where it corresponds essentially to “a universal a priori ontology”. This paper has two purposes; one, largely exegetical, of clarifying how Husserl elaborates on Leibniz’ concept of mathesis universalis and associated...
Available

Husserl and His Alter Ego Kant

Webb, Judson

Pages: 25 –74

[Husserl’s lifelong interest in Kant eventually becomes a preoccupation in his later years when he finds his phenomenology in competition with Neokantianism for the title of transcendental philosophy. Some issues that Husserl is concerned with in Kant are bound up with the works of Lambert. Kant...
Available

Husserl and Bolzano

Casari, Ettore

Pages: 75 –91

[The paper examines the all too often neglected role of the Czech philosopher and mathematician Bernard Bolzano for Husserl’s work, from ca. 1893–1894 onwards. Husserl himself finds it important to stress in an appendix to chapter 10 of the Prolegomena to Pure Logic that his investigations are...
Available

Husserl and Grassmann

von Plato, Jan

Pages: 93 –109

[Husserl’s Philosophie der Arithmetik came out in 1891. In this short essay, its place at the crossroads of two traditions in the philosophy and foundations of arithmetic is described; what preceded it and could thus have influenced Husserl. A brief look at what came later is also taken; where...
Available

Husserl and Boole

Centrone, Stefania; Minari, Pierluigi

Pages: 111 –124

[We aim at clarifying to what extent the work of the English mathematician George Boole (1815–1864) on the algebra of logic is taken into consideration and discussed in the work of early Husserl, focusing in particular on Husserl’s lecture “Über die neueren Forschungen zur deduktiven Logik” of...
Available

Husserl and Schröder

Centrone, Stefania; Minari, Pierluigi

Pages: 125 –145

[We aim at clarifying to what extent the work of the German mathematician Ernst Schröder (1841–1902) on the algebra of logic is taken into consideration and rehashed in the work of the early Husserl, focusing on Husserl’s 1891 Review of the first volume of Schröder’s monumental Vorlesungen über...
Available

The Brentanist Philosophy of Mathematics in Edmund Husserl’s Early Works

Ierna, Carlo

Pages: 147 –168

[A common analysis of Edmund Husserl’s early works on the philosophy of logic and mathematics presents these writings as the result of a combination of two distinct strands of influence: on the one hand a mathematical influence due to his teachers is Berlin, such as Karl Weierstrass, and on the...
Available

Husserl and Cantor

Hill, Claire Ortiz

Pages: 169 –196

[Husserl and Cantor were colleagues and close friends during the last 14 years of the nineteenth century, when Cantor was at the height of his creative powers and Husserl in the throes of an intellectual struggle during which he drew apart from people and writings to whom he owed most of his...
Available

Husserl and Frege on Sense

Beyer, Christian

Pages: 197 –227

[This article presents and compares Frege’s and Husserl’s conceptions of sense, also taking into account their 1891 and 1906 correspondence. It is argued that while the similarities between their views speak in favour of a Fregean interpretation of Husserl’s notion of noematic sense, there are...
Available

Husserl and Riemann

Rosado Haddock, Guillermo E.

Pages: 229 –243

[After briefly showing that, contrary to the received view in analytic circles, Frege’s influence on the evolution of Husserl’s views on logic and mathematics, as well as on the distinction between sense and referent are either insignificant or, as in the last case, totally inexistent, and that...

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