In this paper the authors develop a logic of concepts within a mathematical linguistic theory. In the set of concepts defined in a belief system, the order relationship and Boolean algebra of the concepts are considered. This study is designed to obtain a tool, which is the metatheoretical base of this type of theory.

In this paper, the authors try to clarify the relations between Meinong’s and Russell's thoughts on the ontological ideas of existence. The Meinongian theory on non-existent objects does not in itself violate the principle of non-contradiction, since the problem that this hypothesis offers to the theory of definite descriptions is not so much a logical problem as an ontological problem. To demonstrate this we will establish what we believe are the two main theses basic to the theory of descriptions: the (...) epistemological thesis and logical thesis. (shrink)

The most common definition of belief is taken from analytical philosophy, which understands it as a proposition that is considered as true. Such a broad definition is ambiguous for some fields of empirical research, like psychology, which deals with the mental state of the believer when holding the belief. This article aims to reach an operationalization of beliefs to pinpoint their distinctive features with respect to similar concepts. We summarize the most influential interpretations of belief in psychology and psychiatry, which (...) are mainly based on Immanuel Kant and analytical philosophy. We also expose the problem that arises from putting the mental states of beliefs, knowledge, opinions and preferences in the same bag. Our proposal is that a belief is: a proposition that is taken to be true; and which the subject is willing to hold even if irrefutable evidence were hypothetically argued against it. We introduce a narrower interpretation to reliably discriminate the mental state of believing, which is intended to be applied to empirical psychology, neuroscience, behavioral economics, sociology and related sciences. (shrink)