… We add Most X are Y to the syllogistic logic of All X are Y and Some X are Y. We prove
soundness, completeness, and decidability in polynomial time. Our … This paper presents …

… This logical system lies at the root of the western logical tradition. For this reason, modern …
presents an extension of the syllogistic which includes sentences of the form \(\mathsf{Most}\;X\;…

… The contrariety of A andE is part of classical syllogistic logic, as is the subcontrariety of /
and0. That A and (9, andEand /, are contradictory is also part of classical syllogistic logic. All of …

… Most of these algorithms depend on two logical operations:(a) Consensus generation (or
equivalently multiplying a product of sums into a sum of products), and (b) absorption. We …

… syllogism in the Prior,'lttctll'tic's. For the moment the system will be thought of as a logic
for the … A au Unlike most previous formal syllogistic systems the present one is a natural-deduction …

… E, I and O for our more ‘Fregean’ variable-binding binary quantifiers, in order to distinguish
them from Aristotle's quantifiers, our logical forms would be the ones in the right-most column …

… treatment of syllogisms as arguments and claimed that the authentic Aristotelian syllogism is
a … 1 For Aristotle, however, a syllogism is essentially something with a deductive structure as …

… This paper delves into logical syllogisms featuring intermediate quantifiers. In our previous
… “Almost all”, “Most”, and “Many”. In this paper, we focus on syllogisms incorporating also the …

… take syllogistic logic and enlarge the nouns by allowing X (‘non-X’) in addition to X, with
semantics given by [[X ]]=M\[[X]]. A complete syllogistic logic … Most of the soundness details are …

… syllogistic systems for both S and S† that do not employ reductio (we call such systems direct
syllogistic … We come finally to the most general of the fragments studied here. Recalling that …