Acta Analytica 33 (1):19-33 (2018)
AbstractIn To be is to be the object of a possible act of choice the authors defended Boolos’ thesis that plural quantification is part of logic. To this purpose, plural quantification was explained in terms of plural reference, and a semantics of plural acts of choice, performed by an ideal team of agents, was introduced. In this paper, following that approach, we develop a theory of concepts that—in a sense to be explained—can be labeled as a theory of logical concepts. Within this theory, we propose a new logicist approach to natural numbers. Then, we compare our logicism with Frege’s traditional logicism.
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To be is to be a value of a variable (or to be some values of some variables).George Boolos - 1984 - Journal of Philosophy 81 (8):430-449.
Truth and Objectivity.Crispin Wright - 1992 - Philosophy and Phenomenological Research 56 (4):883-890.