Essays on Husserl's Logic and Philosophy of Mathematics

Description

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 expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one. Front Matter ....Pages i-xxvi Husserl and Leibniz: Notes on the Mathesis Universalis (Stefania Centrone, Jairo José Da Silva)....Pages 1-23 Husserl and His Alter Ego Kant (Judson Webb)....Pages 25-74 Husserl and Bolzano (Ettore Casari)....Pages 75-91 Husserl and Grassmann (Jan von Plato)....Pages 93-109 Husserl and Boole (Stefania Centrone, Pierluigi Minari)....Pages 111-124 Husserl and Schröder (Stefania Centrone, Pierluigi Minari)....Pages 125-145 The Brentanist Philosophy of Mathematics in Edmund Husserl’s Early Works (Carlo Ierna)....Pages 147-168 Husserl and Cantor (Claire Ortiz Hill)....Pages 169-196 Husserl and Frege on Sense (Christian Beyer)....Pages 197-227 Husserl and Riemann (Guillermo E. Rosado Haddock)....Pages 229-243 Husserl and Hilbert (Mirja Hartimo)....Pages 245-263 Construction and Constitution in Mathematics (Mark van Atten)....Pages 265-315 Husserl and Weyl (Jairo José Da Silva)....Pages 317-352 Paradox, Harmony, and Crisis in Phenomenology (Judson Webb)....Pages 353-408 Husserl and Carnap on Regions and Formal Categories (Ansten Klev)....Pages 409-429 Husserl and Gödel (Richard Tieszen)....Pages 431-459 Husserl and Jacob Klein (Burt C. Hopkins)....Pages 461-484 Back Matter ....Pages 485-526