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The article in the issue 8:2:
The date of the publication:
2019-10-24
The number of pages:
83
The issue:
8:2
Commentaries:
0
The Authors
Jan Woleński, Andrew Schumann, Bartłomiej K. Krzych, Nataliia Reva, Magdalena Michalik-Jeżowska, Magdalena Hoły-Łuczaj, Andrzej Niemczuk
, Paweł Balcerak, Tomasz Goban-Klas,
, Paweł Balcerak, Tomasz Goban-Klas,
Andrew Schumann worked at the Belarusian State University, Minsk, Belarus. His research focuses on logic and philosophy of science with an emphasis on non-well-founded phenomena: self-references and circularity. He contributed mainly to research areas such as reasoning under uncertainty, probability reasoning, non-Archimedean mathematics, as well as their applications to cognitive science. He is engaged also in unconventional computing, decision theory, logical modelling of economics.
Email: andrew.schumann@gmail.com
ARTICLE:
Logical Determinacy versus Logical Contingency.
The Case of Łukasiewicz’s Three-valued Logic
autor: Andrew Schumann,
In constructing the three-valued logic, Jan Łukasiewicz was highly inspirited
by the Aristotelian idea of logical contingency. Nevertheless, we can construct
a four-valued logic for explicating the Stoic idea of logical determinacy. In this
system, we have the following truth values: 0 (‘possibly false), 1 (‘necessarily
false’), 2 (‘possibly true’), 3 (‘necessarily true’), where the designated truth
value is represented by the two values: 2 and 3.
