Logica Universalis

, Volume 2, Issue 1, pp 77–85

Non-Traditional Squares of Predication and Quantification

Article

DOI: 10.1007/s11787-007-0029-4

Cite this article as:
Staschok, M. Log. univers. (2008) 2: 77. doi:10.1007/s11787-007-0029-4

Abstract.

Three logical squares of predication or quantification, which one can even extend to logical hexagons, will be presented and analyzed. All three squares are based on ideas of the non-traditional theory of predication developed by Sinowjew and Wessel. The authors also designed a non-traditional theory of quantification. It will be shown that this theory is superfluous, since it is based on an obscure difference between two kinds of quantification and one pays a high price for differentiating in this way: losing the definability between the existence- and all-quantifier. Therefore, a combination of non-traditional predication and classical quantification is preferred here.

Mathematics Subject Classification (2000).

Primary 03C80 Secondary 62A01 

Keywords.

Internal negation predication denying quantification logical squares 

Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.Institut für Philosophie, FB LogikHumboldt-Universität zu BerlinBerlinGermany