A Complete and Consistent Formal System for Sortals
Max A. Freund
Departamento de Filosofia
Cite this article as:
Freund, M.A. Studia Logica (2000) 65: 367. doi:10.1023/A:1005239914821
A formal logical system for sortal quantifiers, sortal identity and (second order) quantification over sortal concepts is formulated. The absolute consistency of the system is proved. A completeness proof for the system is also constructed. This proof is relative to a concept of logical validity provided by a semantics, which assumes as its philosophical background an approach to sortals from a modern form of conceptualism.