Quote: could define empirically significant terms via reduction sentences, but couldn't handle concepts such as length (could be irrational)

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problems with empirical truth

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Every term with empirical significance must be capable … characteristic of the liberalized versions of positivism and … of all terms of empirical science by means … not seem to offer an adequate means for … … now take, for example, the concept of length … points may assume any positive real number as … condition [for unmeasurably small differences or irrational numbers].   Google-1   Google-2

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