S. Jakowski introduced the discussive prepositional calculus D 2as a basis for a logic which could be used as underlying logic of inconsistent but nontrivial theories (see, for example, N. C. A. da Costa and L. Dubikajtis, On Jakowski's discussive logic, in Non-Classical Logic, Model Theory and Computability, A. I. Arruda, N. C. A da Costa and R. Chuaqui edts., North-Holland, Amsterdam, 1977, 37–56). D 2has afterwards been extended to a first-order predicate calculus and to a higher-order logic (cf. the (...) quoted paper). In this paper we present a natural version of D 2, in the sense of Jakowski and Gentzen; as a consequence, we suggest a new formulation of the discussive predicate calculus (with equality). A semantics for the new calculus is also presented. (shrink)

S. Jaśkowski introduced the discussive propositional calculus D₂ as a basis for a logic which could be used as underlying logic of inconsistent but nontrivial theories. D₂ has afterwards been extended to a first-order predicate calculus and to a higher-order logic. In this paper we present a natural version of D₂, in the sense of Jaśkowski and Gentzen; as a consequence, we suggest a new formulation of the discussive predicate calculus. A semantics for the new calculus is also presented.

In [8] Jakowski defined by means of an appropriate interpretation a paraconsistent calculusD 2 . In [9] J. Kotas showed thatD 2 is equivalent to the calculusM(S5) whose theses are exactly all formulasa such thatMa is a thesis ofS5. The papers [11], [7], [3], and [4] showed that interesting paraconsistent calculi could be obtained using modal systems other thanS5 and modalities other thanM. This paper generalises the above work. LetA be an arbitrary modality (i.e. string ofM''s,L''s and negation signs). (...) Then theA-extension of a set of formulasX is {¦A X}}. Various properties ofA-extensions of normal modal systems are examined, including a problem of their axiomatizability. (shrink)

We introduce several concepts concerning the indiscernibility of trees. A tree is by definition an ordered set such that, for any a∈O, the initial segment {b∈O:b (...) A of the form η∈O, where O is a tree, and aη labeled by η is an element in M. Such a set A is also called a tree in this paper. We study the indiscernibility of trees A in general settings and apply the obtained results to the study of unstable theories. (shrink)

The paper defends a dynamic view of reality which is founded on the assumption of the existence of the flow of time. This vindication makes use of a metaphysical theory of the flow of time developed by the author which is based on the notion of dynamic existence. It is shown that such a conception allows one to explain the fundamental phenomena connected with the flow of time, namely the continuous changing of the present, the endurance of things, and the (...) asymmetry of time. It is also argued that the proposed approach may be of some virtue for the empirical sciences because it explains the ubiquitous interest of scientists in the evolution of dynamic systems of different kinds, and provides us with an arrow of time which is lacking in theories describing fundamental physical interactions. The argument is advanced which aims to show that physics is unable to provide us with a theory of the flow of time and that we should look for such a theory in metaphysics. Thus, an approach to the relation between metaphysics and physics is vindicated that may help to overcome the difficulties blocking our understanding of reality as a dynamic one. (shrink)

Jerzy Franczak comprehensively presents Jacques Rancière's thought by emphasizing the relations between politics and literature. The detailed analysis considers the context of modern aesthetics and political philosophy, which is why the book introduces further protagonists, such as Louis Althusser, Michel Foucault, Pierre Bourdieu, or Jean-François Lyotard. Franczak first reconstructs Rancière's original philosophy of literature so as to then immediately apply it in readings of select world literature masterpieces by Gustav Flaubert, Max Jacob, Bertold Brecht, Vladimir Nabokov, and Philip Roth.

Studies focusing on debate as pedagogy have been gaining attention recently. However, most research has employed policy debate, which is a traditional debate style. Parliamentary debate, which is an impromptu debate style, has been recently gaining popularity worldwide. As minimal research exists on parliamentary debate as pedagogy, the present study examined the correlations between parliamentary debate participation, communication competence, communication apprehension, argumentativeness, and willingness to communicate. Moreover, this study aimed to investigate the unique characteristics of communication variables and correlations with (...) the experience of participating in a parliamentary debate in a Japanese context, an area that interests many scholars. The results showed some differences in correlations between Japanese and United States samples, which was explained by analyzing a trait of Japanese culture that is characterized as highly contextual. Regarding the correlations between communication variables and parliamentary debate participation, significant differences were found for all variables except for communication competence, where less communication apprehension, more argument approach, less argument avoidance, and more willingness to communicate were observed compared to non-debaters. Finally, the study findings revealed that those with parliamentary debate experience obtained lower scores for communication apprehension and higher scores for argumentative approaches compared with those who did not have such experience; the effect sizes were smaller in women than men. These findings suggest that parliamentary debate participation is an effective way to foster communication variables. (shrink)

The first scientific work by John Henry Newman, Arians of the Fourth Century, should not be read simply as a patristic historiography; Newman engages with theoretical problems in this work. This essay attempts to explain the theory behind Arians with particular regard to the problematic relationship between Scripture and doctrinal expression in the Church. It will demonstrate the confluence of Newman’s thought on this point with the theological reflection of Vincent Holzer, who discusses this problem in the context of German (...) theology in the twentieth century. This article was originally published in French in Études Newmaniennes no. 29 (2013). (shrink)

The old-fashioned concept of state is shown to be inadequate and misleading. Replacing it by a concept of information and taking advantage of the invariance of the mechanical description under time reversal puts the problems of the interpretation of quantum mechanics in a new light. A more realistic interpretation appears to be possible. Moreover, a new explanation of the Einstein-Podolsky-Rosen paradox is presented, too.

We study model companions of theories extending the graph axioms. First we prove general results concerning the existence of the model companion. Then, by applying these results to the case of graphs, we give a series of companionable and non‐companionable examples.

Author: Sawicki Jerzy Title: THELEOGICAL PRINCIPLE IN KANT’S METHODOLOGY (Zasada teleologiczna w metodologii Kanta) Source: Filo-Sofija year: 2005, vol:.5, number: 2005/1, pages: 281-292 Keywords: KANT, THELEOGICAL PRINCIPLE, FINALISM, MECHANICISM Discipline: PHILOSOPHY Language: POLISH Document type: ARTICLE Publication order reference (Primary author’s office address): E-mail: www:The work contains a concise of I. Kant’s views on the problem of the laws of nature and the theleological principle presented in this context, which Kant proposes in the character of a regulative methodological postulate. (...) The analysis of fundamental philosophical notions (the law of nature, necessity, causality, purpose) carried out from the position of an extreme aprioristic rationalism leads Kant to the conclusion about the basic impossibility of educing the conception of purpose (in relation to nature) from aprioristic transcendental laws, ie. such laws which the theoretical reason imposes to the nature by necessity. However, the fact of a total functioning of an organism does not fit, according to Kant, into the frames of a mechanically understood causality. Kant tries to solve this problem choosing the way of conclusion by analogy and finally he suggests to introduce into the living nature a specific causal relation in which the purposes constitute a particular kind of causes and results at the same time. That conception oscillates between mechanicism and theological finalism, and the fitting of a science system into the frames of aprioristic categories does not permit a finally decide about the supremacy of one or the other way of seeing the world. However, nevertheless, the perceiving and stressing of the peculiarity of organic symptoms, the formulation of the postulate about their unreductability to the law of a mechanical type constitute unquestionable and great merit of the author of the Criticism of the Judgment Authority. The idea of the totality of organism, though involved in subjective idealistic non consequences of Kant’s conceptions has in the given historical period all features of a deep and progressive thought, outpacing and inspiring several later research ideas, both in philosophy and in natural science. (shrink)