PHILOS 2 Lecture Notes - Lecture 19: Antinomy, Fallibilism, Omnipotence
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A paradox is an apparently unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises (sainsbury 2009) Paradoxes teach us about the nature and limits of reasoning. We can learn that something apparently obvious is in fact profoundly confusing. Paradoxes force us to scruinize what seems so obviously right. Paradoxes expose some kind of trouble with our reasoning, or the statements we take as premises, or the basic concepts that underlie the paradox in quesion (cuonzo 2014: Deducive arguments: validity: if the premises were true, the conclusion would have to be true, soundness: the argument is valid and the premises are in fact true. Inducive arguments: strength: an argument is strong if the truth of the premises makes the truth of the conclusion very likely. Paradox of validity (a) this argument, a, is valid. Suppose the premise is true: then the argument is valid.