Logica Universalis

, Volume 2, Issue 1, pp 155–165 | Cite as

Weakened Semantics and the Traditional Square of Opposition



In this paper we present a proposal that (i) could validate more relations in the square than those allowed by classical logic (ii) without a modification of canonical notation neither of current symbolization of categorical statements though (iii) with a different but reliable semantics.

Mathematics Subject Classification (2000).

Primary 0A305 Secondary 03B50, 03B60, 03B80 


Weakening semantics pseudo-weak logics classical zero- and first-order logic traditional square of opposition 


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Copyright information

© Birkhaeuser 2008

Authors and Affiliations

  1. 1.Institute for Philosophical ResearchNational Autonomous University of Mexico (UNAM)Coyoacán, México, D.FMexico

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