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Some features of this site may not work without it. To find a general eocpi*ession for all angles hamng the same sine; that is, to show that, when n is integral, sin $ = sin {mr + (- 1)"^}. There is a 'process' (not yet fully understood in the abstract, but emerging clearly in practice) by means of which the proof theoretic ordinal of a theory is computed: one first unravels the induction and comprehension principles of the given theory into infinitary rules which reflect their intended meaning.
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