Adopting a different method from the previous scholars, this article deduces remaining 23 valid syllogisms just taking syllogism AEE-4 as basic axiom. The idea of study is follows: firstly, make full use trichotomy structure categorical propositions to formalize syllogisms. Then, advantage deductive rules in classical propositional logic and facts generalized quantifier theory, we deduce by one...

in this paper, we show that the conditional transform with respect to the gaussian process involving the first variation can be expressed in terms of the conditional transform without the first variation. we then use this result to obtain various integration formulas involving the conditional $diamond$-product and the first variation.

We consider an algorithmic approach for revising inconsistent data and restoring its consistency. This approach detects the \spoiled" part of the data (i.e., the set of assertions that cause inconsistency), deletes it from the knowledge-base, and then draws classical conclusions from the \recovered" information. The essence of this approach is its coherence with the original (possibly inconsist...

the notion of a $d$-poset was introduced in a connection withquantum mechanical models. in this paper, we introduce theconditional expectation of  random variables on thek^{o}pka's $d$-poset and prove the basic properties ofconditional expectation on this  structure.

in this paper, we determine the structure of the space of multipliers of the range of a composition operator cφ that induces by the conditional expectation between two lp() spaces.

modeling and forecasting the volatility of tehran exchange dividend price index (tedpix) the present research, analyses the forecasting performance of a variety of conditional and non-conditional models of tedpix volatility at the daily frequencies performance criterion namely the root mean square error (rmse). under rmse, results show ma250 and cgarch models had better performance between non ...

Abstract This paper provides a case study for the use of syllogistic reconstructions in commentaries on Plato by fifth-century commentator Proclus. The discusses Proclus’ reconstruction argument about range Forms Plato’s Parmenides (130b–e). In his commentary this dialogue, Proclus reports proposed some predecessors. reconstruction, as whole is interpreted straightforward attack existence Forms...

A gualij%e~ syllogism is a classical Aristoteiean syllogism that has been “qualified” through the use of fuzzy quantifiers, likelihood modifiers, and usuality modifiers, e.g., “Most birds can Ry; Tweety is a bird; therefore, it is likely that Tweety can fly.” This paper introduces a formal logic Q of such syllogisms and shows how this may be employed in a system of nonmonotonj~ reasoning. In pr...