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By Stanislaw Lesniewski; S. J. Surma et al. (eds.)

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Paris, however, is indeed not situated in China; therefore the proposition 'Paris is not situated in China' must be true. The latter proposition, being true, cannot be equivalent to the false proposition 'a Paris situated in China does not exist' and consequently the theory which s~ys that all propositions can be reduced to existential propositions, is refuted. § 1. The idea expressed in the preceding section contradicts current opinions concerning existential propositions: the possibility of constructing both positive and negative, true existential propositions is commonly accepted.

The first and third of these expressions possess a symbolic function, but the second and fourth do not because no object is a hippocentaur or the possession by a hippocentaur of the property of horseness. HeJ:lcethe conclusion that not all of the expressions possessing a symbolic disposition possess, also, a symbolic function. § 8. The examples of expressions possessing a symbolic function which I gave in Section 6 indicate that the expressionsymbols, like other expressions, can· be connoting or nonconnoting.

The proposition 'Paris is not situated in China' could not be true under these conditions because it would be equivalent to the proposition 'a Paris situated in China does not exist' which cannot be true being a negative IO Dr F. Brentano, Psychologie vom empirischen Staridpunkte, Volume I, Leipzig 1874, pp. 288 - 289. , p. 283. Existential Propositions 15 existential proposition and, as such, contradictory. Paris, however, is indeed not situated in China; therefore the proposition 'Paris is not situated in China' must be true.

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