Note 285 — Chapter IX

This, as Mr Johnson has pointed out, must be taken in connexion with the recognition of propositions as involving multiple quantification. “Thus we may indicate a series of propositions involving single, double, triple … quantification, which may reach any order of multiplicity: (1) ‘All luxuries are taxed’; (2) ‘In some countries all luxuries are taxed’; (3) ‘At some periods it is true that in all countries all luxuries are taxed’.… with respect to each of the types of proposition (1), (2), (3).… I contend that, when made explicit with respect to time or place, etc., it is absurd to speak of them as sometimes true and sometimes false” (Mind, 1892, p. 30 n.).