In his posthumous book from 1914, “New foundations of logic, arithmetic andset theory”, Julius König develops his philosophy of mathematics. In a previous contribution, we attracted attention on the positive part of his “pure logic”: his “isology” being assimilated to mutual implication, it constitutes a genuine formalization of positive intuitionistic logic. König’s intention was to rebuild logic in such a way that the excluded third’s principle could no longer be logical. However, his treatment of truth and falsehood is purely classical. We explain here this discrepancy by the choice of the alleged more primitive notions to which the questioned notions of truth and falsehood have been reduced. Finaly, it turns out that the disjunctive and conjunctive forms of the principles of the excluded third and of contradiction have effectively been excluded, but none of their implicative forms.
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
DOI 10.5007/1808-1711.2009v13n2p153
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: 58,981
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Julius Konig et les Principes Aristoteliciens.Marcel Guillaume - 2009 - Principia: An International Journal of Epistemology 13 (2):153-164.
König von Gottes Gnaden.Julius H. Schoeps - 1993 - Zeitschrift für Religions- Und Geistesgeschichte 45 (2):168-171.
Argumentationen.Harald Delius, Günther Patzig & Josef König - 1964 - Vandenhoeck & Ruprecht.
Ramsey’s Theorem and König’s Lemma.T. E. Forster & J. K. Truss - 2007 - Archive for Mathematical Logic 46 (1):37-42.


Added to PP index

Total views
9 ( #902,488 of 2,427,505 )

Recent downloads (6 months)
1 ( #533,878 of 2,427,505 )

How can I increase my downloads?


My notes