This book presents novel formalizations of three of the most
important medieval logical theories: supposition, consequence and
obligations. In an additional fourth part, an in-depth analysis of
the concept of formalization is presented a crucial concept in the
current logical panorama, which as such receives surprisingly
little attention.
Although formalizations of medieval logical theories have been
proposed earlier in the literature, the formalizations presented
here are all based on innovative vantage points: supposition
theories as algorithmic hermeneutics, theories of consequence
analyzed with tools borrowed from model-theory and two-dimensional
semantics, and obligations as logical games. For this reason, this
is perhaps the first time that these medieval logical theories are
made fully accessible to the modern philosopher and logician who
wishes to obtain a better grasp of them, but who has always been
held back by the lack of appropriate translations into modern
terms.
Moreover, the book offers a reflection on the very nature of
logic, a reflection that is prompted by the comparisons between
medieval and modern logic, their similarities and dissimilarities.
It is thus a contribution not only to the history of logic, but
also to the philosophy of logic, the philosophy of language and
semantics.
The analysis of medieval logic is also relevant for the modern
philosopher and logician in that, being the unifying methodology
used across all disciplines at that time, logic really provided
unity to science. It thus presents a unified model of scientific
investigation, where logic plays the aggregating role.
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