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A brief account of the central elements in Hart’s concept will first be in order. Hart begins The Concept of Law by characterising law as a type of rule which exists within a particular system of rules. That is, laws are those rules which come within the framework of primary and secondary rules.8 10 9. 8.
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Strawson's defining characteristic for contradictions is that they are both logically exclusive and logically exhaustive (C18). Evident in the literature, then, are at least four basic approaches to the notion of contradiction: semantic, syntactic, pragmatic, and ontological.
This chapter examines three ways of formalizing the law of non-contradiction. The key feature of such a way is the enforcement of consistency of the formal system concerned. The first formalization is as a formula of form, ∼(A&∼A), favoured by textbooks.
Most philosophers think that finding a contradiction – the assertion of both P and not-P – in one's reasoning is the best possible evidence that something has gone wrong, the ultimate refutation of a position. But why should this be so? What reason do we have to believe it?
diction: " The principle of contradiction is in general: A proposition is either true or false; this comprises two true statements; one, that the true and the false are not compatible in the same proposition, or that a proposition cannot be true and false
Jun 28, 2006 · The twin foundations of Aristotle’s logic are the law of non-contradiction (LNC) (also known as the law of contradiction, LC) and the law of excluded middle (LEM). In Metaphysics Book \(\Gamma\), LNC—“the firmest of all principles”—is defined as follows:
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In other words, the Law of Non-Contradiction is a truth about propositions: those primary bearers of truth-value. It is a truth about which truth-values a proposition can and cannot bear: if a proposition bears the value true, it cannot also bear the value false, and vice versa.