Contradiction and Inconsistency
Links
Conflict without Contradiction: Noncontradiction as a Scientific Modus Operandi
http://www.bu.edu/wcp/Papers/Logi/LogiFaus.htm
Article by Don Faust presented at the 20th World Congress of Philosophy.
Dialetheism
http://plato.stanford.edu/entries/dialetheism/
A dialetheia is a true contradiction, a statement, A, such that both it and its negation, A, are true. Hence, dialeth(e)ism is the view that there are true contradictions. Dialetheism opposes the so-called Law of Non-Contradiction. By Graham Priest, from the Stanford Encyclopedia.
Metaphilosophical Pluralism and Paraconsistency: From Orientative to Multi-level Pluralism
http://www.bu.edu/wcp/Papers/Logi/LogiBobe.htm
Article by M.E. Orellana Benado, A. Bobenrieth and C. Verdugo. Presented at the 20th World Congress of Philosophy.
Paraconsistent Logic
http://plato.stanford.edu/entries/logic-paraconsistent/
The development of paraconsistent logic was initiated in order to challenge the logical principle that anything follows from contradictory premises, ex contradictione quodlibet. By Koji Tanaka, from the Stanford Encyclopedia.