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.

This is another contribution to the unending controversy over two Barbaras. My approach problem hopefully quite new: I wish view issue through prism of modal upgrading. Modal upgrading occurs when a subject term that has only been predicated assertorically in premises apodictically either: i) conclusion given syllogism, or; ii) some proposition derived from either syllogism alone or combination...

Signal Detection Theory (SDT; Wickens, 2002) is a prominent measurement model that characterizes observed classification responses in terms of discriminability and response bias. In recent years, SDT has been increasingly applied within the psychology of reasoning (Rotello and Heit, 2009; Dube et al., 2010; Heit and Rotello, 2010, 2014; Trippas et al., 2013). SDT assumes that different stimulus...

This paper investigates the conditional correlations and volatility spillovers between the dollar exchange rate return, gold coin return and crude oil return to stock index return. Monthly returns in the 144 observations (2005 - 2017) are analyzed by constant conditional correlation, dynamic conditional correlation, VARMA-GARCH and VARMA-AGARCH models. So this paper presents interdependences in...

the stochastic outcomes and phenomenon of climate are the reason to use probability sciences in climatology. interactions of most of climatic phenomenon as well as justify them are very acceptable based on probability technique. accordingly it is useful in environmental management and planning. a conditional probability is the probability of an event given that another event has occurred e.g. l...

In this paper, a new approximate syllogistic reasoning schema is described that expands some of the approaches expounded in the literature into two ways: (i) a number of different types of quantifiers (logical, absolute, proportional, comparative and exception) taken from Theory of Generalized Quantifiers and similarity quantifiers, taken from statistics, are considered and (ii) any number of p...

For those who have never taken the trouble to consider ways and methods of thinking and who wish to know of a readable and interesting introduction to the subject this small book of Canon Dewar's can be confidently recommended. Its three sections cover a great deal of ground. The first is concerned with different types of thinking and with the rules of the syllogism. The second calls attention ...

Internal syntactic operations on diagrams play a key role in accounting for efficacy of diagram use in reasoning. However, it is often held that in the case of complex deductive reasoning, diagrams can serve merely as an auxiliary source of information in interpreting sentences or constructing models. Based on experiments comparing subjects’ performances in syllogism solving where logic diagram...