http://www.objectivelytrue.com/philosophy/2009/10/15/is-there-a-little-paradox-here/ forcibly extracting meaning from everything (syncretically) Fri, 16 Oct 2009 00:54:55 +0000 hourly 1 http://wordpress.org/?v=3.0.1 http://www.objectivelytrue.com/philosophy/2009/10/15/is-there-a-little-paradox-here/comment-page-1/#comment-1372 jackson Fri, 16 Oct 2009 00:54:55 +0000 http://www.objectivelytrue.com/?p=297#comment-1372 Curious. For me, "Any" was the real hairy word here, because, if the statement is true, arguments from induction are unverifiable (or, if you dislike verification, let's use a weaker term like "justifiable"). Yet this statement generalizes, having not observed the entire class of statements which are based in induction. Thus, until EVERY inductive statement can be shown to fail the test of verification, this statement has extrapolated from a potentially unfairly-generalized inductive observation. If, however, the original claim was shown to be true by examining every possible such statement, it was shown to be verifiable even when the statement was only an inductive generalization (and thus, simultaneously false)...maybe? Curious. For me, “Any” was the real hairy word here, because, if the statement is true, arguments from induction are unverifiable (or, if you dislike verification, let’s use a weaker term like “justifiable”). Yet this statement generalizes, having not observed the entire class of statements which are based in induction. Thus, until EVERY inductive statement can be shown to fail the test of verification, this statement has extrapolated from a potentially unfairly-generalized inductive observation. If, however, the original claim was shown to be true by examining every possible such statement, it was shown to be verifiable even when the statement was only an inductive generalization (and thus, simultaneously false)…maybe?

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