End of the square?

South American Journal of Logic 4 (2):485-505 (2018)
Download Edit this record How to cite View on PhilPapers
Abstract
It has been recently argued that the well-known square of opposition is a gathering that can be reduced to a one-dimensional figure, an ordered line segment of positive and negative integers [3]. However, one-dimensionality leads to some difficulties once the structure of opposed terms extends to more complex sets. An alternative algebraic semantics is proposed to solve the problem of dimensionality in a systematic way, namely: partition (or bitstring) semantics. Finally, an alternative geometry yields a new and unique pattern of oppositions that proceeds with colored diagrams and an increasing set of bitstrings.
PhilPapers/Archive ID
SCHEOT-30
Upload history
First archival date: 2019-08-14
Latest version: 2 (2021-02-25)
View other versions
Added to PP index
2019-08-14

Total views
70 ( #53,190 of 65,606 )

Recent downloads (6 months)
13 ( #48,161 of 65,606 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.