* And the law of non-contradiction
is the law of identity in negative form: A thing cannot be both what it is and what it is not at the same time and in the same respect.
What is more, one's conception of natural property rights cannot treat them as rationally justified norms because nothing that runs against the law of non-contradiction
can be rationally justified (Lukasiewicz, 1987, p.
Three of Aristotle's assumptions, in particular, have led to poor ways of thinking: his Law of Identity (e.g., facts are facts, a stone is a stone, the truth is the truth), his Law of the Excluded Middle (something is either one thing or another--e.g., good or bad, tall or short, fat or thin), and his Law of Non-Contradiction
(e.g., a fact is a fact and nothing but a fact).
See, for example, Otavio Bueno and Mark Colyvan in 'Logical Non-Apriorism and the 'Law' of Non-Contradiction', The Law of Non-Contradiction
: New Philosophical Essays, eds.
For example, Aristotle's laws of logic, according to Strate's essay, include the Law of Identity, the Law of Non-Contradiction
, and the Law of the Excluded Middle Together.
A variety of scientific topics are covered, including the law of non-contradiction
, a fundamental first principle of thought putatively put into doubt by quantum mechanics (and by the liar's paradox), the new essentialism in biology, and the fit between contemporary theory of evolution and Aristotle's views on species or natural kinds.
Stephen Clark questions this method on the grounds that the Law of Non-Contradiction
, together with the other fundamental laws of logic does not accord with everyday reality.
The logic of education may defy the law of non-contradiction
. To get to the logic of Bildung, we will have to go back beyond the ancient idea of logos as discourse to the even more antique notion of logos as goodness, togetherness, gathering, or fitting connection.
The indispensable tool is the law of non-contradiction
, and the lesson it teaches is what Kant (37) described as the Categorical Imperative: "Act only in accordance with that maxim through which you can at the same time will that it become a universal law."
I think it's possible to take Paradoxism too far, because I think the law of non-contradiction
is both important and unimportant.
His penchant for contradiction is consistent with skepticism, and both are incompatible with the law of non-contradiction
, a basic axiom of Aristotle's metaphysics.
428) explicitly affirm that vagueness is a ground for a paraconsistent dialectical logic, claiming that "[i]n any concrete continuum there is a stretch where something is both A and [perpendicular]A....There is a sense in which the ranges of application of red and non-red [in so far as "red" is vague] overlap, and the law of non-contradiction
does not hold".