Acta Analytica

, Volume 33, Issue 1, pp 19–33 | Cite as

A Notion of Logical Concept Based on Plural Reference

  • Massimiliano Carrara
  • Enrico Martino


In To be is to be the object of a possible act of choice (Studia Logica, 96, 289–313, 2010) 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.


Plural reference Plural quantification Logical concepts Logicism 


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Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.FISPPA DepartmentUniversity of PaduaPadovaItaly

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