Polyadic Quantification via Denoting Concepts
Simchen, Ori
Notre Dame J. Formal Logic, Tome 51 (2010) no. 1, p. 373-381 / Harvested from Project Euclid
The question of the origin of polyadic expressivity is explored and the results are brought to bear on Bertrand Russell's 1903 theory of denoting concepts, which is the main object of criticism in his 1905 "On Denoting." It is shown that, appearances to the contrary notwithstanding, the background ontology of the earlier theory of denoting enables the full-blown expressive power of first-order polyadic quantification theory without any syntactic accommodation of scopal differences among denoting phrases such as 'all φ', 'every φ', and 'any φ' on the one hand, and 'some φ' and 'a φ' on the other. The case provides an especially vivid illustration of the general point that structural (or ideological) austerity can be paid for in the coin of ontological extravagance.
Publié le : 2010-07-15
Classification:  polyadic quantification,  Russell,  denoting,  01A60,  03B10
@article{1282137989,
     author = {Simchen, Ori},
     title = {Polyadic Quantification via Denoting Concepts},
     journal = {Notre Dame J. Formal Logic},
     volume = {51},
     number = {1},
     year = {2010},
     pages = { 373-381},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1282137989}
}
Simchen, Ori. Polyadic Quantification via Denoting Concepts. Notre Dame J. Formal Logic, Tome 51 (2010) no. 1, pp.  373-381. http://gdmltest.u-ga.fr/item/1282137989/