International Relations and the Burden of Classical Two-Valued Logic

  • Abakedi, D. Effiong University of Calabar, Philosophy Department
  • Ushie, A. Idagu Department of Philosophy, University of Calabar,
Keywords: Classical Two-Valued Logic, International Relations, Non-Classical Logic

Abstract

This paper argued that international relations has for a very long time been driven
by commitment to the classical logic of bivalence, and that today, this logic is a
threat to world peace. Using the philosophical methods of critical analysis and
historical exposition, the paper highlighted that commitment to classical twovalued
logic augured well for the expansion of empires in ancient, medieval and
modern times because it provided the logical tool for the justification of the
exclusive elimination of the sovereignties of weaker nations by stronger ones. The
paper argued that lessons from recent developments in philosophy of logic and
quantum physics have exposed the weakness of classical two-valued logic in
handling differences which should rather be seen as valued-contraries relative to
possible worlds. The paper submitted that there is need to adopt approaches
founded on logics of complementarity because the elitist approach of bivalent logic,
which is reflective of the principle of conjunction-elimination or simplification has
become a burden to diplomatic relations. Many of the nations adjudged to be weak
and less developed are beginning to resist the supremacy of the world powers,
whereby between two entities, the weak, the underdeveloped, or less-valued can be
justifiably eliminated or overruled.

References

Abakedi, Dominic. “Lessons from Quantum Logic and Ijiomah’s Logic of
Harmonious Monism: Towards the Axiomatization of African Logic.”
Journal of Philosophy, Culture and Religion, no 19 (2016): 7-12.
Asouzu, Innocent. Ibuanyidanda: New Complementary Ontology Beyond World
Immanentism, Etnocentric Reduction and Impositions. Zurich: Litverlag,
2009.
Birkhoff, Gareth, and John von Neumann. “The Logic of Quantum Mechanics.”
Annals of Mathematics 37, no 4 (1936): 823-843.
Carnap, Rudolf. The Logical Syntax. New York: Harcod, 1937.
Irvine, Andrew. ‘Philosophy of Logic’. In. Routledge History of Philosophy of
Science, Logic and Mathematics in the 20th Century, edited by Stuart
Shanker,12 -18. London and New York: Routledge, 2004.
Kneale, William and Martha Kneale. The Development of Logic. Oxford: Oxford
Clarendon Press, 1962.
Lovibond, Sabina. “Feminism in Ancient Philosophy: The Feminist Stake in Greek
Rationalism.” In The Cambridge Companion to Feminism in Philosophy,
edited by Miranda Fricker and Jenifer Hornsby, 10-28. Cambridge:
Cambridge University Press, 2000.
Published
2020-08-24
Section
Articles