Authors
Simon B. Duffy
Yale-NUS College
Abstract
Maimon’s theory of the differential has proved to be a rather enigmatic aspect of his philosophy. By drawing upon mathematical developments that had occurred earlier in the century and that, by virtue of the arguments presented in the Essay and comments elsewhere in his writing, I suggest Maimon would have been aware of, what I propose to offer in this paper is a study of the differential and the role that it plays in the Essay on Transcendental Philosophy (1790). In order to do so, this paper focuses upon Maimon’s criticism of the role played by mathematics in Kant’s philosophy, to which Maimon offers a Leibnizian solution based on the infinitesimal calculus. The main difficulties that Maimon has with Kant’s system, the second of which will be the focus of this paper, include the presumption of the existence of synthetic a priori judgments, i.e. the question quid facti, and the question of whether the fact of our use of a priori concepts in experience is justified, i.e. the question quid juris. Maimon deploys mathematics, specifically arithmetic, against Kant to show how it is possible to understand objects as having been constituted by the very relations between them, and he proposes an alternative solution to the question quid juris, which relies on the concept of the differential. However, despite these arguments, Maimon remains sceptical with respect to the question quid facti.
Keywords Maimon  Kant  differential  mathematics  concepts  intuitions
Categories (categorize this paper)
Reprint years 2014
ISBN(s)
DOI 10.1080/09672559.2013.861004
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

 PhilArchive page | Other versions
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Critique of Pure Reason.Immanuel Kant - 1991 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Philosophy and Phenomenological Research. Blackwell. pp. 449-451.
Critique of Pure Reason.Immanuel Kant - 1724 - Macmillan Company.

View all 17 references / Add more references

Citations of this work BETA

Maimon's Post-Kantian Skepticism.Emily Fitton - 2017 - Dissertation, University of Essex

Add more citations

Similar books and articles

Apostate Rationalism and Maimon's Hume.Peter Thielke - 2008 - Journal of the History of Philosophy 46 (4):pp. 591-618.
Salomon Maimon and the Rise of Spinozism in German Idealism.Yitzhak Y. Melamed - 2004 - Journal of the History of Philosophy 42 (1):67-96.
Solomon Maimon: An Autobiography.Salomon Maimon - 1967 - New York: Schocken Books.
The Synthetic a Priori in Kant and German Idealism.Seung-Kee Lee - 2009 - Archiv für Geschichte der Philosophie 91 (3):288-328.
Aye Shelomoh Maimon.Katuv Bi-Yede ʻatsmo & Targum Y. L. Barukh - 2009 - In Chaim Wirszubski, Y. L. Barukh, Benedictus de Spinoza & Salomon Maimon (eds.), Aḥerim: Barukh Shpinozah, Shelomoh Maimon. Miśkal.

Analytics

Added to PP index
2014-01-15

Total views
500 ( #16,216 of 2,462,251 )

Recent downloads (6 months)
40 ( #22,045 of 2,462,251 )

How can I increase my downloads?

Downloads

My notes