It follows from the proved theorems that ifM π=〈Q, ϕ〉 (whereQ={0,q 1,q 2,...,q α}) is a machine of the classM F then there exist α machinesM πi such thatM πi(〈1,c〉)=M π(〈q i,c〉) andQ i={0, 1, 2, ..., α+1} (i=1, 2, ..., α).And thus, if the way in which to an initial function of content of memoryc∈C a machine assigns a final onec′∈C is regarded as the only essential property of the machine then we can deal with the machines of the (...) formM π=〈{0, 1, 2, ..., α}, ϕ〉 and processes π(t) (wheret=〈1,c〉,c∈C) only.Such approach can simplify the problem of defining particular machines of the classM F , composing and simplifying them. (shrink)

The aim of the paper is to shed light on the problem of identity of particulars over time within the framework of Quinean analysis. First, it focuses on the relationship between essential and accidental property changes as a criterion for distinguishing cases when objects retain their identity from cases when they loose it. In this part it is shown, that a coherent distinction between essential and accidental properties is problematic. Quinean approach indicates that we do not need to look for (...) any kind of criterion of identity of particulars over time. Hence, the conclusion is that the identity of particulars over time should not be viewed as a problem of how to understand the concept of identity, but rather as a problem of how to understand certain general concepts, i.e. how to individualize certain parts of the world by the use of certain general terms. (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.

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)

The concepts of measurement and measurable quantity are discussed. A probabilistic interpretation independent of the arrow of time is recommended and a definition of quantizable physical systems is given. The space of states of information about the physical system is Schwarz space rather than Hilbert space.

It is shown explicitly that the linearized theory does not constitute any approximation to the exact solutions in the case of free fields. The only regular solution satisfying, as boundary condition, the requirement of a sufficiently rapid decrease at infinity is a flat space. The problem of conservation laws is discussed anew. The continuity equation satisfied by Einstein's pseudotensor does not guarantee the existence of global conservation laws. Solutions violating the energy conservation are interpretable as representing gravitational radiation absorbed or (...) emitted by sources at infinity. (shrink)

Preceded by a historical introduction the problem of a multi-dimensional extension of the geometrical framework of physical reality is discussed. Both metrical space-time and superspace are taken into account. Arguments in favour of a six-dimensional space-time D=6 are presented. A conviction that - according to „the spirit of Kaluza's theory” - all vector fields should be incorporated into the metric is a prejudice: some are ingredients of metric, but some other are genuine multivectors. The idea of supersymmetry is taken into (...) account only in so far that fundamental fields form a supermultiplet of highest extension N=8, but supersymmetry is only global whereas local interactions do not need to be fully supersymmetric but locally gauge invariant and generally relativistic (replacing partial by covariant derivatives). Even a global supersymmetry may soften convergence difficulties so that super-string may be dispensed with. The set of all fields including 3 families of quarks and leptons may be arranged into a table resembling Mendelejev's one. A generalized Higgs mechanism explains high value of masses, also that of top quark. (shrink)

In this paper we introduce a new technique of proving undecidability results. This technique is based on the notion of a Thue tree. We also give examples of applications of this method to term rewriting, Horn implication problem and database dependencies.

There are few opinions as soundly rooted and commonly acknowledged as the notion of usefulness of education. There is a deep belief, proved right by the experience of mankind, that an educated person has the advantage over a simpleton. It is considered that educated individuals understand themselves and the world around them better. Therefore, they are more a homo rationalis than uneducated ones.In the world changing as in a kaleidoscope an educated person must have the skill to absorb incoming information (...) easily and quickly, to select it and then process into substantial knowledge about the world. At the same time, they need to be reliable and highly efficient in its particular applications. In a word, an educated person needs to know how to develop their individual capital of knowledge. The average age of starting a career increases. Keeping up with fast occurring civilisation changes requires some outside assistance, and so the tasks for higher education are expanding to include theneed to organise lifelong learning.I think that the more effectively will an educational system deliver the abovementioned objectives-acquiring knowledge as such, understood as acquiring the truthabout the world and as increasing the intellectual potential of the society-the ’better’ it will be. This leads to perceiving also the system’s effectiveness as a value in itself, and achieving this value becomes the system’s priority.However, are the values and goals of the higher education mentioned above exclusive? What tradition is backing the priorities of universities nowadays? What should be changed to make the education in universities more efficient in the changing world?I am asking those difficult questions while not quite convinced that my opinion is the best and the only one possible, but I would like to make a small contribution to the discussion on values of education. (shrink)

W latach 1931-1934 Kazimierz Ajdukiewicz sformułował dwie wersje teorii znaczenia. Tarski wykazał, że druga wersja teorii dopuszcza moż- liwość istnienia równoznacznych nazw o różnej denotacji. Cecha ta zo- stała uznana przez Tarskiego i Ajdukiewicza za dyskwalifikującą teorię. W artykule dokonuję porównania obu wersji teorii, przede wszystkim ze względu na podstawową definicję wzajemnej wymienialności wyrażeń. Pokazuję, że wbrew rozpowszechnionej opinii zarzut Tarskiego dotyczy także pierwszej wersji teorii. Siła argumentu Tarskiego opiera się na założeniu, że żadna adekwatna teoria znaczenia nie może dopuszczać (...) istnienia równoznacznych nazw o różnej denotacji. Podejmuję dyskusję z tym stanowiskiem. (shrink)