Logical Concepts vs. Logical Operations

Journal for the History of Analytical Philosophy 9 (11):56 - 74 (2021)
  Copy   BIBTEX

Abstract

In what follows, the difference between Frege’s and Schröder’s understanding of logical connectives will be investigated. It will be argued that Frege thought of logical connectives as concepts, whereas Schröder thought of them as operations. For Frege, logical connectives can themselves be connected. There is no substantial difference between the connectives and the concepts they connect. Frege’s distinction between concepts and objects is central to this conception, because it allows a method of concept formation which enables us to form concepts from the logical connectives alone. Schröder in contrast unifies the distinction between concepts and objects, but keeps the distinction between logical connectives and what they connect. It will be argued that Frege’s particular way of perceiving logical connectives is crucial for his foundational project.

Similar books and articles

Following logical realism where it leads.Michaela Markham McSweeney - 2019 - Philosophical Studies 176 (1):117-139.
Logicality and Invariance.Denis Bonnay - 2006 - Bulletin of Symbolic Logic 14 (1):29-68.
Logical analysis versus Phenomenological Descriptions.Denis Fisette - 2004 - In Feist R. (ed.), Husserl and the Sciences. University of Ottawa Press. pp. 69-98.
Logical operations.Vann McGee - 1996 - Journal of Philosophical Logic 25 (6):567 - 580.
Frege's Logical Theory. [REVIEW]H. K. R. - 1969 - Review of Metaphysics 22 (3):579-580.
Logic for morals, morals from logic.Charlie Kurth - 2011 - Philosophical Studies 155 (2):161-180.
Logical concepts and logical inferences.Paolo Casalegno - 2004 - Dialectica 58 (3):395–411.
A Survey of Logical Realism.Tuomas E. Tahko - 2021 - Synthese 198 (5):4775-4790.

Analytics

Added to PP
2021-12-31

Downloads
252 (#80,365)

6 months
87 (#53,936)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Tabea Rohr
Friedrich Schiller Universität, Jena

Citations of this work

No citations found.

Add more citations

References found in this work

Vorlesungen über die algebra der logik.Ernst Schröder, Jakob Lüroth & Karl Eugen Müller - 1890 - Leipzig: B. G. Teubner. Edited by Jakob Lüroth & Karl Eugen Müller.
Frege's Conception of Logic.Warren Goldfarb - 2001 - In Juliet Floyd (ed.), Future Pasts: The Analytic Tradition in Twentieth-Century Philosophy. Oxford: Oxford University Press. pp. 25-41.
Schröder's logic.Volker Peckhaus - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 3--557.

Add more references