On Dedekind's Logicism

Abstract

The place of Richard Dedekind in the history of logicism is a controversial matter. The conception of logic incorporated in his work is certainly old-fashioned, in spite of innovative elements that would play an important role in late 19th and early 20th century discussions. Yet his understanding of logic and logicism remains of interest for the light it throws upon the development of modern logic in general, and logicist views of the foundations of mathematics in particular. The paper clarifies Dedekind's views and their relation to transcendental logic, makes explicit the role of the principle of comprehension (unrestricted) and offers a reconstrucion ot his dichotomy conception. The last section explores the differences with Frege (half epistemic, half metaphysical) making clear that there were different brands of logicism, and that logicism does not necessarily lead to singularism or “essentialistic objectualism”.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,897

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

Frege, Dedekind, and the Origins of Logicism.Erich H. Reck - 2013 - History and Philosophy of Logic 34 (3):242-265.
Dedekind's Logicism.Ansten Mørch Klev - 2015 - Philosophia Mathematica:nkv027.
Chateaubriand's logicism.Abel Casanave - 2004 - Manuscrito 27 (1):13-20.
A Note on Weakly Dedekind Finite Sets.Pimpen Vejjajiva & Supakun Panasawatwong - 2014 - Notre Dame Journal of Formal Logic 55 (3):413-417.
Generalizations of Cantor's theorem in ZF.Guozhen Shen - 2017 - Mathematical Logic Quarterly 63 (5):428-436.
Dedekind’s Map-theoretic Period.José Ferreirós - 2017 - Philosophia Mathematica 25 (3):318–340.
The Fruits of Logicism.Timothy Bays - 2000 - Notre Dame Journal of Formal Logic 41 (4):415-421.
Homogeneous and universal dedekind algebras.George Weaver - 2000 - Studia Logica 64 (2):173-192.

Analytics

Added to PP
2018-07-18

Downloads
45 (#353,414)

6 months
13 (#194,641)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Jose Ferreiros
Universidad de Sevilla

Citations of this work

Dedekind and Wolffian Deductive Method.José Ferreirós & Abel Lassalle-Casanave - 2022 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (4):345-365.
Dedekind's Logicism.Ansten Mørch Klev - 2015 - Philosophia Mathematica:nkv027.
Dedekind's Logicism†.Ansten Mørch Klev - 2015 - Philosophia Mathematica 25 (3):341-368.

Add more citations

References found in this work

Kritik der reinen Vernunft.Immanuel Kant - 2020 - Walter de Gruyter GmbH & Co KG.
The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
From Frege to Gödel.Jean van Heijenoort - 1968 - Philosophy of Science 35 (1):72-72.

View all 24 references / Add more references