Some Weakened Gödelian Ontological Systems

We describe a KB Gödelian ontological system, and some other weak systems, in a fully formal way using theory of types and natural deduction, and present a completeness proof in its main and specific parts. We technically and philosophically analyze and comment on the systems (mainly with respect to the relativism of values) and include a sketch of some connected aspects of Gödel's relation to Kant.     

Authority-based Argumentative Strategies: A Model for their Evaluation

In this paper, I try to develop an informal model for the analysis and evaluation of argumentative strategies based on active authorities. The explanations necessary to understand the idea of the model and what is modelled are given through the development of the paper. I first give an example of argumentative activities. After that, the main assumption of the model is given. In the third part, the relevant aspects of the argumentative activity are analysed, while the principles of the evaluation are explained in the fourth part. The informal model is presented in the fifth part. In the final remarks, the suggestions for further work are given, as well as a comparison with some related recent works in argumentation theory.     

Toleration vs. Doctrinal Evil in Our Time

Our time is characterized by what seems like an unprecedented process of intense global homogenization. This reality provides the context for exploring the nature and value of toleration. Hence, this essay is meant primarily as a contribution to international ethics rather than political philosophy. It is argued that because of the non-eliminability of differences in the world we should not even hope that there can be only one global religion or ideology. Further exploration exposes conceptual affinity between the concepts of intolerance, ideology, and doctrinal evil. The last concept is developed in contrast to pure evil and average evil, and under the assumption of the metaphysical necessity of free will. Doctrinal evil is found to represent the main source of intolerance as a result of a mechanism that tends to confuse doctrinal evil (or the competing conceptions of the good) with pure evil. This connection between doctrinal evil and pure evil provides ideologies with their forcefulness. Tolerance cannot be properly understood in terms of a simple opposition to intolerance, however. Tolerance emerges as a sort of vigilance, conscientiousness, and non-negligence based not on a supposedly correct interpretation of the good, but rather on the acceptance of the fallibility of any such attempted definition. Conversely, the principal evil in doctrinal evil is found in arrogance that accompanies the intolerance-inducing irresponsible thoughtlessness. With this conceptual topology in mind the paper also addresses questions regarding religious tolerance, the ideology of human rights and democracy, the right to self-defense, ways to face evil, the dialectics of using old names for novel evils, and related issues. This revised version was published online in August 2006 with corrections to the Cover Date.     

On the Light Doves and Learning on Mistakes

Each type of learning is proposed as being a three-stage process, composed of: (i) recognition of a perceptual situation and performance of an action corresponding thereto; (ii) observation of a deviation of the action result from an expected outcome; (iii) re-arrangement of the conceptual framework of reasoning to meaningfully assimilate the observed deviation. In order to evaluate a general, systemic significance of the concept of learning proposed hereby, the latter is assessed from perspectives that correspond to diverse levels of organizational complexity of Nature. Thermodynamic concepts, constructivist and autopoietic frameworks of analysis of cognitive phenomena, and the aspects of social sciences are intertwined so as to support the all-encompassing meaning of the general pathways of learning proposed herein. Numerous ethical consequences, with a particular emphasis on educational approaches, are derived from accepting such a general nature of learning and development. Naturally implied dialectical form of evolution, according to which prosperous and favorable features of human creativity arise solely from problem-solving situations, is further discussed.     

Perception of the form of stimulus increment as a method in assessment of the psychophysical relationship

Among numerous procedures for determination of the psychophysical relation, one approach has seldom been applied. Essential in this method is to present a set of stimuli whose intensity increases in fixed time following different forms. The objective stimulus increment, which the subjects perceive as linear growth directly, represents the inverse psychophysical relation. In this paper the method was tested in the fields of click frequency and sound pressure. This procedure was named "Perception of the Form of Stimulus Increment in Time". In comparison to other psychophysical approaches, this one has several advantages. The principal ones are the following: (1) In assessing the psychophysical relation it is not necessary to try to measure the perceptual magnitude; and (2) the psychophysical relation is directly determined by its dynamic pattern. In this paper modifications to the method are reported which facilitate the subject's task and avoid some differences in subjects' individual approaches to the task. The modified procedure leads to results satisfactory independent of the influence of the factors irrelevant to the psychophysical relationship.     

Informational approach to the processing of inflected morphology: Standard data reconsidered

Summary The present paper evaluates the two standard approaches to the processing of inflected morphology (decomposition and the satellite-entries hypothesis) in the scope of the results obtained on Serbo-Croatian inflected noun forms. It was demonstrated that the decomposition hypothesis cannot account for most of the results. On the other hand, some of the critical experiments upon which the satellite-entries hypothesis was based failed to replicate, and the hypothesis was rejected on empirical grounds. The approach proposed in the present study assumes that processing effects observed with inflected Serbo-Croatian noun forms are based on the subject's sensitivity to the amount of information (i. e., bits) within a particular inflected form. It was demonstrated that the basic unit of the subject's sensitivity is the amount of information derived from the average frequency per syntactic function within a particular inflected form of a noun. This parameter accounts for all the observed processing variability of the inflected Serbo-Croatian noun forms.     

A cut-free gentzen-type system for the logic of the weak law of excluded middle

The logic of the weak law of excluded middleKC _p is obtained by adding the formula A A as an axiom scheme to Heyting's intuitionistic logicH _p . A cut-free sequent calculus for this logic is given. As the consequences of the cut-elimination theorem, we get the decidability of the propositional part of this calculus, its separability, equality of the negationless fragments ofKC _p andH _p , interpolation theorems and so on. From the proof-theoretical point of view, the formulation presented in this paper makes clearer the relations betweenKC _p ,H _p , and the classical logic. In the end, an interpretation of classical propositional logic in the propositional part ofKC _p is given.     

Cross-alphabet and cross-modal long-term priming in Serbian and English

In Experiments 1 and 2, we investigated long-term repetition priming effects in Serbian under crossalphabet and cross-modal conditions. In both experiments, results followed the same pattern: significant priming in all conditions and no significant reduction in priming in the cross-modal as opposed to the cross-alphabet condition. These results are different from those obtained in English (Experiment 3), in which a modality shift led to a reduction in priming. The findings are discussed within a theoretical framework, in which long-term priming is a by-product of learning within the language system. A full list of word stimuli for all three experiments presented in this article can be found at www.psychonomic.org/archive.     

Lightness of an object under two illumination levels

Anchoring theory (Gilchrist et al, 1999 Psychological Review 106 795-834) predicts a wide range of lightness errors, including failures of constancy in multi-illumination scenes and a long list of well-known lightness illusions seen under homogeneous illumination. Lightness values are computed both locally and globally and then averaged together. Local values are computed within a given region of homogeneous illumination. Thus, for an object that extends through two different illumination levels, anchoring theory produces two values, one for the patch in brighter illumination and one for the patch in dimmer illumination. Observers can give matches for these patches separately, but they can also give a single match for the whole object. Anchoring theory in its current form is unable to predict these object matches. We report eight experiments in which we studied the relationship between patch matches and object matches. The results show that the object match represents a compromise between the match for the patch in the field of highest illumination and the patch in the largest field of illumination. These two principles are parallel to the rules found for anchoring lightness: highest luminance rule and area rule.