History and Philosophy of Logic 15 (1):105-126 (1994)

Friedrich Albert Lange (1828-1875) author of a famous History of Materialism and Critique of Its Present Significance (1866, English transI. 1877-79, repr. 1925 with introduction by Bertrand Russell), was also interested in the epistemological foundations of formal logic. Part I of his intended two-volume Logische Studien was published posthumously in 1877 by Hermann Cohen, head of the Marburg school of neo-Kantianism. Lange, departing from Kant, claims that spatial intuition is the source of the apodeictic character not only of the truths of mathematics, but also of the truths of logic. He aims at showing this by basing validity and invalidity of syllogistic inferences on an interpretation of the standard forms (of proposition in assertoric syllogistic) with the help of the five kinds of possible relations (in fact what is known today as the Gergonne-Euler relations) between extensions of concepts given to us as areas in a plane, i.e.in space. Generality is achieved by considering all possible variations within each type of spatial relation, exhibiting a connection between concept and intuition reminding Lange of the Kantian "schema". Lange is well aware of the contemporary English "algebraic" logic, but he considers its approach as the appropriate one for a logic of content (Inhaltslogik) and not for a logic of extension (Umfangslogik). Lange did not live to enjoy the recognition by some leading logicians (amongst them John Venn, to whose reference in 1881 to Lange's "admirable Logische Studien" the present paper owes it title), nor could he respond to the many critics of his proposed foundation of logic. Its radicality as well as its broad reception (and discussion up to at least 1959) seem to entitle Lange's Logische Studien to an, if modest, place in the history of logic in the 19th century.
Keywords logic  Lange  space  logical extension
Categories (categorize this paper)
DOI 10.1080/01445349408837227
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Translate to english
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 59,916
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

The Development of Logic.W. C. Kneale - 1962 - Oxford University Press.
Symbolic Logic.John Venn - 1881 - New York: B. Franklin.
Encyclopedia of Philosophy.Leonard Linsky - 1970 - Ethics 80 (4):322-323.
On the Forms of Logical Proposition.John Venn - 1880 - Mind 5 (19):336-349.

View all 17 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Friedrich Albert Lange.Nadeem J. Z. Hussain & Lydia Patton - 2012 - The Stanford Encyclopedia of Philosophy.
Lange and Nietzsche.George J. Stack - 1983 - W. De Gruyter.
The Limits of Experience and Explanation: F. A. Lange and Ernst Mach on Things in Themselves.Scott Edgar - 2013 - British Journal for the History of Philosophy 21 (1):100-121.
Lange face au dualisme kantien de la matière et de la forme.Christophe Bouriau - 2002 - Revue de Métaphysique et de Morale 3 (3):363-377.
Probabilistic Induction and Hume’s Problem: Reply to Lange.Samir Okasha - 2003 - Philosophical Quarterly 53 (212):419–424.
Syllogistic: Old Wine in New Bottles.George Englebretsen - 2002 - History and Philosophy of Logic 23 (1):31-35.
Lange on Essentialism, Counterfactuals, and Explanation.Toby Handfield - 2005 - Australasian Journal of Philosophy 83 (1):81 – 85.


Added to PP index

Total views
24 ( #443,268 of 2,433,197 )

Recent downloads (6 months)
1 ( #463,180 of 2,433,197 )

How can I increase my downloads?


My notes