Original Research

Transcending logic: the difference between contradiction and antinomy

Daniël Strauss
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 26, No 1 | a123 | DOI: https://doi.org/10.4102/satnt.v26i1.123 | © 2007 Daniël Strauss | This work is licensed under CC Attribution 4.0
Submitted: 21 September 2007 | Published: 21 September 2007

About the author(s)

Daniël Strauss, Universiteit van die Vrystaat, Bloemfontein, Suid-Afrika, South Africa

Full Text:

PDF (104KB)

Share this article

Bookmark and Share

Abstract

Philosophy and all the academic disciplines are sensitive to the aim of sound reasoning – except for the dialectical tradition which sanctions contradictions and antinomies (Heraclitus, Nicolas of Cusa, Hegel, Marx, Vaihinger, Simmel, Rex, and Dahrendorf). A brief overview is presented of conflicting theoretical stances within the various academic disciplines before an assessment is given of the positive and negative meaning of ‘reductionism.’ Against the background of historical lines of development the multiple terms employed in this context are mentioned and eventually positioned within the context of the normativity holding for logical thinking. It is argued that the logical contrary between logical and illogical serves as the foundation of other normative contraries, such as legal and illegal and moral and immoral. Through the discovery of irrational numbers the initial Pythagorean conviction that everything is number reverted to a geometrical perspective that generated a static metaphysics of being which challenged the ideas of plurality and motion. This development uncovered the problem of primitive terms in scientific discourse as an alternative for those theoretical attempts aimed at reducing whatever there is to one single mode of explanation. Zeno’s paradoxes are used to demonstrate an alternative understanding of the difference between the potential and the actual infinite as well as the nature of (theoretical) antinomies. It is argued that genuine antinomies are inter-modal in nature (such as is found in the attempt to reduce movement to static positions in space) and therefore differ from logical contradictions (such as a ‘square circle’ which merely confuses two figures within one modal aspect). Although every antinomy does entail logical contradictions, the latter do not necessarily presuppose an antinomy. The implication is that logic itself has an ontic foundation – as is seen from the nature of the principle of sufficient reason (ground) and the principle of the excluded antinomy – and therefore only acquires meaning on the basis of a non-reductionist ontology. When the method of immanent critique unveils genuine antinomies, the way is opened for meaningful intellectual interaction between different philosophical stances. In distinguishing between contradiction and antinomy philosophers are actually challenged to contemplate the implications of a non-reductionist ontology, such as avoiding the stance of monistic isms.

 


Keywords

No related keywords in the metadata.

Metrics

Total abstract views: 1963
Total article views: 2243

Reader Comments

Before posting a comment, read our privacy policy.

Post a comment (login required)

 

Crossref Citations

1. Scholarly communication
D F M Strauss
Communicatio  vol: 34  issue: 1  first page: 113  year: 2008  
doi: 10.1080/02500160802144587