26 research outputs found
Vindicating GΓΆdel's uniting logic, metaphysics and theology
ΠΠ°Π½Π½Π°Ρ ΡΡΠ°ΡΡΡ β ΡΠ΅ΠΏΡΠ΅Π·Π΅Π½ΡΠ°ΡΠΈΠ²Π½ΡΠΉ ΠΏΡΠΈΠΌΠ΅Ρ ΡΠ°Π±ΠΎΡΡ Π² ΡΠ°ΠΌΠΊΠ°Ρ
ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΠΈΠ· ΡΠ°Π·Π²ΠΈΠ²Π°ΡΡΠΈΡ
ΡΡ Π½Π° Π£ΡΠ°Π»Π΅ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠΉ Π½Π°ΡΡΠ½ΠΎΠ³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΡΠΈΠ»ΠΎΡΠΎΡΡΠΊΠΎΠΉ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΠΈ, Π° ΠΈΠΌΠ΅Π½Π½ΠΎ, β Π°Π½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΠΈ, ΡΠΈΡΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΡΡΠ΅ΠΉ ΠΏΠΎΠ½ΡΡΠΈΡ ΠΈ ΠΌΠ΅ΡΠΎΠ΄Ρ ΡΠΎΠ²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ ΠΈ ΡΠΈΠΌΠ²ΠΎΠ»ΠΈΡΠ΅ΡΠΊΠΎΠΉ Π»ΠΎΠ³ΠΈΠΊΠΈ. ΠΠ°ΠΏΡΠΈΠΌΠ΅Ρ, Π² Π΄Π°Π½Π½ΠΎΠΉ ΡΠ°Π±ΠΎΡΠ΅ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ Π²Π΅Π·Π΄Π΅ΡΡΡΠ½ΠΎΡΡΠΈ ΠΠΎΠ³Π° ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΠ΅ΡΡΡ Β«Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠ΅ΠΌΒ» ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠ΅ΠΉ ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡΠΈΠΈ ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ Π² Π΄Π²ΡΠ·Π½Π°ΡΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΠ΅ ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΠΊΠΈ ΠΊΠ°ΠΊ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΠΈ.Godβs omnipresence proved by computing compositions of evaluation-functions in two-valued algebra of metaphysics as formal axiology
ΠΠ·Π°ΠΈΠΌΠΎΡΠ²ΡΠ·Ρ ΠΈΡΡΠΈΠ½Π½ΠΎΡΡΠΈ ΠΈ Π΄ΠΎΠΊΠ°Π·ΡΠ΅ΠΌΠΎΡΡΠΈ: Π. Π. ΠΠ΅ΠΉΠ±Π½ΠΈΡ, Π. ΠΠ΅Π΄Π΅Π»Ρ, Π. Π’Π°ΡΡΠΊΠΈΠΉ, ΠΈΡΡΠΎΡΠΈΠΊΠΎ-ΡΠΈΠ»ΠΎΡΠΎΡΡΠΊΠΈΠΉ ΠΈ ΡΠΎΠ±ΡΡΠ²Π΅Π½Π½ΠΎ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°ΡΠΏΠ΅ΠΊΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ
Logically-mathematical Models of Cognitive (veritable-functional) and Estimative (valuably-functional) Aspects of Intersubjective Acts of Legal Regulation and Responsibility
THE PROBLEM OF CORRUPTION OF BASIC SCIENTIFIC INVESTIGATIONS IN PARTICULAR: FORMAL-ETHIC AND ECONOMIC ASPECTS
The aim of the paper is to carry out historical-philosophical andlinguistic analysis of ethical and metaphysical doctrine of Aristotle on corruptionΒ in general; to discuss of formal-ethical view on the problem of corruption in basicΒ scientific researches; to define the place and role of fundamental scientific researchesΒ in knowledge-based economy taken as a whole, and Boston Chart, inΒ particular.Methods. The methods involve the historical-philosophical and logical-linguisticΒ analysis of texts; creation and studying of the elementary discrete mathematicalΒ model of the researched moral phenomenon at the level of artificial languageΒ of two-digit algebra of the natural right and morals; use of such conceptualΒ and figurative tool of the economic theory as Boston Chart.Results and scientific novelty. The definition of the concept Β«basic scientificΒ researchΒ» is given for the first time; the concept includes time parameter andΒ knowledge of utility (the practical importance) of results of this research.Practical significance. The submitted definition (criterion) gives a possibilityΒ to establish at any moment of time definite borderline between the basic and theΒ applied scientific search (the line undergoes change in the flow of time). The effectiveΒ criterion of basic scientific researches offered by the author, and also exactΒ specifying of their place and role in lifecycle of knowledge as goods in marketΒ economy (at the conceptual level of the Boston Chart) allow to designate an urgentΒ problem of corruption of the scientific sphere in a new perspective. Along withΒ some additional conditions, this new evidence could help to solve the problem.Π¦Π΅Π»ΠΈ ΡΡΠ°ΡΡΠΈ: ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΠ΅ ΠΈΡΡΠΎΡΠΈΠΊΠΎ-ΡΠΈΠ»ΠΎΡΠΎΡΡΠΊΠΎΠ³ΠΎ ΠΈ Π»ΠΈΠ½Π³Π²ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΈ ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΡΠ΅Π½ΠΈΡ ΠΡΠΈΡΡΠΎΡΠ΅Π»ΡΒ ΠΎ ΠΊΠΎΡΡΡΠΏΡΠΈΠΈ Π²ΠΎΠΎΠ±ΡΠ΅; ΠΎΠ±ΡΡΠΆΠ΄Π΅Π½ΠΈΠ΅ Ρ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠΎΡΠΊΠΈ Π·ΡΠ΅Π½ΠΈΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΠΊΠΎΡΡΡΠΏΡΠΈΠΈ ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
Π½Π°ΡΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ; ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΌΠ΅ΡΡΠ° ΠΈ ΡΠΎΠ»ΠΈ ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
Π½Π°ΡΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Π² ΡΡΠ½ΠΎΡΠ½ΠΎΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ΅Β Π·Π½Π°Π½ΠΈΠΉ Π² ΡΠ΅Π»ΠΎΠΌ ΠΈ Π² Β«ΠΠΎΡΡΠΎΠ½ΡΠΊΠΎΠΉ Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΠ΅Β» Π² ΡΠ°ΡΡΠ½ΠΎΡΡΠΈ. ΠΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ ΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΠΈΠ·Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠ³ΠΎ Π² ΠΏΡΠ±Π»ΠΈΠΊΠ°ΡΠΈΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡΒ Π²ΠΊΠ»ΡΡΠ°Π»ΠΈ ΠΈΡΡΠΎΡΠΈΠΊΠΎ-ΡΠΈΠ»ΠΎΡΠΎΡΡΠΊΠΈΠΉ ΠΈ Π»ΠΎΠ³ΠΈΠΊΠΎ-Π»ΠΈΠ½Π³Π²ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠ΅ΠΊΡΡΠΎΠ²;Β ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΠ΅ ΠΈ ΠΈΠ·ΡΡΠ΅Π½ΠΈΠ΅ ΠΏΡΠΎΡΡΠ΅ΠΉΡΠ΅ΠΉ Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΈΡΡΠ»Π΅Π΄ΡΠ΅ΠΌΠΎΠ³ΠΎ Π½ΡΠ°Π²ΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ΅Π½ΠΎΠΌΠ΅Π½Π° Π½Π° ΡΡΠΎΠ²Π½Π΅ ΠΈΡΠΊΡΡΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ·ΡΠΊΠ° Π΄Π²ΡΠ·Π½Π°ΡΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΡ Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΠΏΡΠ°Π²Π° ΠΈ ΠΌΠΎΡΠ°Π»ΠΈ; ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΠΊΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΠ΅ΠΏΡΡΠ°Π»ΡΠ½ΠΎ-ΠΎΠ±ΡΠ°Π·Π½ΠΎΠ³ΠΎ ΠΈΠ½ΡΡΡΡΠΌΠ΅Π½ΡΠ° ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΠΎΡΠΈΠΈ, ΠΊΠ°ΠΊ Β«ΠΠΎΡΡΠΎΠ½ΡΠΊΠ°Ρ Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΠ°Β». Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈ Π½Π°ΡΡΠ½Π°Ρ Π½ΠΎΠ²ΠΈΠ·Π½Π°. ΠΠΏΠ΅ΡΠ²ΡΠ΅ Π΄Π°Π½ΠΎ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΏΠΎΠ½ΡΡΠΈΡΒ Β«ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΠ΅ Π½Π°ΡΡΠ½ΠΎΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅Β», Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎ Π²ΠΊΠ»ΡΡΠ°ΡΡΠ΅Π΅ Π² ΡΠ΅Π±ΡΒ Π²ΡΠ΅ΠΌΠ΅Π½Π½ΠΎΠΉ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡ ΠΈ Π·Π½Π°Π½ΠΈΠ΅ ΠΎ ΠΏΠΎΠ»Π΅Π·Π½ΠΎΡΡΠΈ (ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΎΠΉ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΠΈ) ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ² Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ.ΠΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠ°Ρ Π·Π½Π°ΡΠΈΠΌΠΎΡΡΡ. ΠΡΠ²Π΅Π΄Π΅Π½Π½Π°Ρ ΡΡΠ°ΠΊΡΠΎΠ²ΠΊΠ° ΠΏΠΎΠ½ΡΡΠΈΡ Β«ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΠ΅ Π½Π°ΡΡΠ½ΠΎΠ΅ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠ΅Β» Π΄Π°Π΅Ρ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ Π² ΠΊΠ°ΠΆΠ΄ΡΠΉ Π²ΠΏΠΎΠ»Π½Π΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΠΉ ΠΌΠΎΠΌΠ΅Π½Ρ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ ΡΡΡΠ°Π½Π°Π²Π»ΠΈΠ²Π°ΡΡ Π²ΠΏΠΎΠ»Π½Π΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Π½ΡΡ (ΠΈΠ·ΠΌΠ΅Π½ΡΡΡΡΡΡΡ ΡΠΎ Π²ΡΠ΅ΠΌΠ΅Π½Π΅ΠΌ) Π³ΡΠ°Π½ΠΈΡΡ ΠΌΠ΅ΠΆΠ΄Ρ ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΠΌ ΠΈ ΠΏΡΠΈΠΊΠ»Π°Π΄Π½ΡΠΌ Π½Π°ΡΡΠ½ΡΠΌ ΠΏΠΎΠΈΡΠΊΠΎΠΌ. ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΠΌΡΠΉ Π°Π²ΡΠΎΡΠΎΠΌ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΡΠΉ ΠΊΡΠΈΡΠ΅ΡΠΈΠΉ ΡΡΠ½Π΄Π°ΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΎΡΡΠΈ Π½Π°ΡΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠΎΡΠ½ΠΎΠ΅ ΡΠΊΠ°Π·Π°Π½ΠΈΠ΅ ΠΈΡ
ΠΌΠ΅ΡΡΠ° ΠΈ ΡΠΎΠ»ΠΈΒ Π² ΠΆΠΈΠ·Π½Π΅Π½Π½ΠΎΠΌ ΡΠΈΠΊΠ»Π΅ Π·Π½Π°Π½ΠΈΡ ΠΊΠ°ΠΊ ΡΠΎΠ²Π°ΡΠ° Π² ΡΡΠ½ΠΎΡΠ½ΠΎΠΉ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΠΊΠ΅ (Π½Π° ΠΊΠΎΠ½ΡΠ΅ΠΏΡΡΠ°Π»ΡΠ½ΠΎΠΌ ΡΡΠΎΠ²Π½Π΅ ΠΠΎΡΡΠΎΠ½ΡΠΊΠΎΠΉ Π΄ΠΈΠ°Π³ΡΠ°ΠΌΠΌΡ) ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡ ΠΎΠ±ΠΎΠ·Π½Π°ΡΠΈΡΡ Π°ΠΊΡΡΠ°Π»ΡΠ½ΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΠΊΠΎΡΡΡΠΏΡΠΈΠΈ Π½Π°ΡΡΠ½ΠΎΠΉ ΡΡΠ΅ΡΡ Π² Π½ΠΎΠ²ΠΎΠΌ ΡΠ²Π΅ΡΠ΅, ΡΡΠΎ ΠΏΡΠΈ Π½Π°Π»ΠΈΡΠΈΠΈ Π½Π΅ΠΊΠΎΡΠΎΡΡΡ
Π΄ΠΎΠΏΠΎΠ»Π½ΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΡΡΠ»ΠΎΠ²ΠΈΠΉ ΠΌΠΎΠΆΠ΅Ρ ΡΠΏΠΎΡΠΎΠ±ΡΡΠ²ΠΎΠ²Π°ΡΡ Π΅Π΅ ΡΠ°Π·ΡΠ΅ΡΠ΅Π½ΠΈΡ
A Logically Formalized Axiomatic Epistemology System Ξ£ + c and Philosophical Grounding Mathematics as a Self-Sufficing System
The subject matter of this research is Kantβs apriorism underlying Hilbertβs formalism in the philosophical grounding of mathematics as a self-sufficing system. The research aim is the in-vention of such a logically formalized axiomatic epistemology system, in which it is possible to con-struct formal deductive inferences of formulaeβmodeling the formalism ideal of Hilbertβfrom the assumption of Kantβs apriorism in relation to mathematical knowledge. The research method is hy-potheticalβdeductive (axiomatic). The research results and their scientific novelty are based on a logically formalized axiomatic system of epistemology called Ξ£ + C, constructed here for the first time. In comparison with the already published formal epistemology systems X and Ξ£, some of the axiom schemes here are generalized in Ξ£ + C, and a new symbol is included in the object-language alphabet of Ξ£ + C, namely, the symbol representing the perfection modality, C: βit is consistent thatβ¦β. The meaning of this modality is defined by the system of axiom schemes of Ξ£ + C. A deductive proof of the consistency of Ξ£ + C is submitted. For the first time, by means of Ξ£ + C, it is deduc-tively demonstrated that, from the conjunction of Ξ£ + C and either the first or second version of GΓΆdelβs theorem of incompleteness of a formal arithmetic system, the formal arithmetic investigated by GΓΆdel is a representation of an empirical knowledge system. Thus, Kantβs view of mathematics as a self-sufficient, pure, a priori knowledge system is falsified. Β© 2021 by the authors. Licensee MDPI, Basel, Switzerland
THE PROBLEM OF CORRUPTION OF BASIC SCIENTIFIC INVESTIGATIONS IN PARTICULAR: FORMAL-ETHIC AND ECONOMIC ASPECTS
The aim of the paper is to carry out historical-philosophical andlinguistic analysis of ethical and metaphysical doctrine of Aristotle on corruptionΒ in general; to discuss of formal-ethical view on the problem of corruption in basicΒ scientific researches; to define the place and role of fundamental scientific researchesΒ in knowledge-based economy taken as a whole, and Boston Chart, inΒ particular.Methods. The methods involve the historical-philosophical and logical-linguisticΒ analysis of texts; creation and studying of the elementary discrete mathematicalΒ model of the researched moral phenomenon at the level of artificial languageΒ of two-digit algebra of the natural right and morals; use of such conceptualΒ and figurative tool of the economic theory as Boston Chart.Results and scientific novelty. The definition of the concept Β«basic scientificΒ researchΒ» is given for the first time; the concept includes time parameter andΒ knowledge of utility (the practical importance) of results of this research.Practical significance. The submitted definition (criterion) gives a possibilityΒ to establish at any moment of time definite borderline between the basic and theΒ applied scientific search (the line undergoes change in the flow of time). The effectiveΒ criterion of basic scientific researches offered by the author, and also exactΒ specifying of their place and role in lifecycle of knowledge as goods in marketΒ economy (at the conceptual level of the Boston Chart) allow to designate an urgentΒ problem of corruption of the scientific sphere in a new perspective. Along withΒ some additional conditions, this new evidence could help to solve the problem
Discrete Mathematical Model of Kantβs Doctrine of Necessary Inconsistency of Thinking about Non-cognizable Being of Things-in-Themselves
Π ΡΠΊΠΎΠΏΠΈΡΡ ΠΏΠΎΡΡΡΠΏΠΈΠ»Π° Π² ΡΠ΅Π΄Π°ΠΊΡΠΈΡ 5 ΠΈΡΠ½Ρ 2015 Π³.ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΈΠ½ΡΠ΅ΡΠΏΡΠ΅ΡΠ°ΡΠΈΡ ΡΡΠ΅Π½ΠΈΡ ΠΠ°Π½ΡΠ° ΠΎ Π²Π΅ΡΠ°Ρ
Π² ΡΠ΅Π±Π΅. ΠΠΎΠΊΠ°Π·ΡΠ²Π°Π΅ΡΡΡ, ΡΡΠΎ Π² ΡΡΠΎΠΉ Π½Π΅ΠΎΠ±ΡΡΠ½ΠΎΠΉ ΠΈΠ½ΡΠ΅ΡΠΏΡΠ΅ΡΠ°ΡΠΈΠΈ Π²ΡΠ΅ ΠΎΡΠ½ΠΎΡΡΡΠΈΠ΅ΡΡ ΠΊ ΡΠ΅ΠΌΠ΅ ΡΡΠ²Π΅ΡΠΆΠ΄Π΅Π½ΠΈΡ ΠΠ°Π½ΡΠ° ΠΈΡΡΠΈΠ½Π½Ρ, ΡΠ»Π΅Π΄ΠΎΠ²Π°ΡΠ΅Π»ΡΠ½ΠΎ, ΡΡΡΠ΅ΡΡΠ²ΡΠ΅Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΎΠ±ΡΡΠΆΠ΄Π°Π΅ΠΌΠΎΠ³ΠΎ ΡΡΠ΅Π½ΠΈΡ ΠΈ, Π²ΠΎΠΏΡΠ΅ΠΊΠΈ ΡΠΈΡΠΎΠΊΠΎ ΡΠ°ΡΠΏΡΠΎΡΡΡΠ°Π½Π΅Π½Π½ΠΎΠΌΡ ΠΌΠ½Π΅Π½ΠΈΡ, ΠΎΠ½ΠΎ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈ Π½Π΅ΠΏΡΠΎΡΠΈΠ²ΠΎΡΠ΅ΡΠΈΠ²ΠΎ. ΠΠ»Ρ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ Π°Π΄Π΅ΠΊΠ²Π°ΡΠ½ΠΎΠΉ Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΡΠ΅Π½ΠΈΡ ΠΠ°Π½ΡΠ° ΠΎ Π½Π΅ΠΏΠΎΠ·Π½Π°Π²Π°Π΅ΠΌΠΎΡΡΠΈ Π±ΡΡΠΈΡ Π²Π΅ΡΠΈ-Π²-ΡΠ΅Π±Π΅ Π² Π°Π»Π³Π΅Π±ΡΡ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΠΈ Π²Π²ΠΎΠ΄ΠΈΡΡΡ ΠΈ ΡΠΎΡΠ½ΠΎ Π² Π½Π΅ΠΉ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ ΡΠ΅Π½Π½ΠΎΡΡΠ½Π°Ρ ΡΡΠ½ΠΊΡΠΈΡ Β«Π±ΡΡΠΈΠ΅ s Π² wΒ». ΠΒ Π°Π»Π³Π΅Π±ΡΠ΅ ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΠΊΠΈ ΠΊΠ°ΠΊ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΠΈ ΠΏΠΎΠ½ΡΡΠΈΠ΅ Β«ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π·Π°ΠΊΠΎΠ½Β» ΡΠΎΡΠ½ΠΎ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΠ΅ΡΡΡ Ρ ΠΏΠΎΠΌΠΎΡΡΡ ΠΏΠΎΠ½ΡΡΠΈΡ Β«ΡΠΎΠΆΠ΄Π΅ΡΡΠ²Π΅Π½Π½ΠΎ Ρ
ΠΎΡΠΎΡΠ°Ρ ΡΠ΅Π½Π½ΠΎΡΡΠ½Π°Ρ ΡΡΠ½ΠΊΡΠΈΡΒ». ΠΒ ΡΡΠΎΠΌ Π·Π½Π°ΡΠ΅Π½ΠΈΠΈ ΡΠ΅ΡΠΌΠΈΠ½Π° ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π·Π°ΠΊΠΎΠ½ Π½Π΅ΠΎΠ±Ρ
ΠΎΠ΄ΠΈΠΌΠΎΡΡΠΈ ΠΏΡΠΎΡΠΈΠ²ΠΎΡΠ΅ΡΠΈΡ Π² ΠΌΡΡΠ»Π΅Π½ΠΈΠΈ ΠΎ Π½Π΅ΠΏΠΎΠ·Π½Π°Π²Π°Π΅ΠΌΠΎΠΌ Π±ΡΡΠΈΠΈ Π²Π΅ΡΠ΅ΠΉ Π² ΡΠ΅Π±Π΅ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²ΡΠ²Π°Π΅ΡΡΡ Π°ΠΊΠΊΡΡΠ°ΡΠ½ΡΠΌ Β«Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠ΅ΠΌΒ» ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΡ
ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΡ
ΡΠ°Π±Π»ΠΈΡ.A formal-axiological interpretation of Kantβs doctrine of thingβs-being-in-them-selves is submitted. The paper demonstrates that in the submitted unusual interpretation, all Kantβs statements relevant to the theme are true; consequently, a model of the doctrine under discussion exists; consequently, in spite of the widespread opinion, the doctrine in question is logically consistent. For constructing an adequate discrete mathematical model of Kantβs doctrine of impossibility of cognition of βthingβs-being-in-itselfβ, an evaluation-function βbeing-ofs-in-wβ is introduced and precisely defined in algebra of metaphysics as formal axiology. In that algebra the notion βmetaphysical law (=law of metaphysics)β is defined by means of the notion βidentically-good evaluationfunctionβ. In this meaning of the term the metaphysical law of necessity of inconsistency in thinking about noncognizable being-of-things-in-them-selves is demonstrated by accurate βcomputingβ relevant evaluation tables
Logical-philosophical substantiation of hypothesis about a formal-ethical inconsistency of the formal arithmetics, investigated by K. Gedel
The paper deals with a formal-ethical aspect of philosophy of mathematics. It submits results of investigation of relations between the formal-logical (semantic) non-contradiction and a formal-ethical contradiction (the formal-ethical one is defined precisely). The paper's scientific novelty is made up by proving the formal-ethical inconsistency of the formal arithmetic.Π‘ΡΠ°ΡΡΡ ΠΏΠΎΡΠ²ΡΡΠ΅Π½Π° ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΌΡ Π°ΡΠΏΠ΅ΠΊΡΡ ΡΠΈΠ»ΠΎΡΠΎΡΠΈΠΈ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ: Π²ΡΠ½ΠΎΡΠΈΡ Π½Π° ΠΎΠ±ΡΡΠΆΠ΄Π΅Π½ΠΈΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠΉ ΠΌΠ΅ΠΆΠ΄Ρ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ (ΡΠ΅ΠΌΠ°Π½ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ) Π½Π΅ΠΏΡΠΎΡΠΈΠ²ΠΎΡΠ΅ΡΠΈΠ²ΠΎΡΡΡΡ ΠΈ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΡΠΎΡΠΈΠ²ΠΎΡΠ΅ΡΠΈΠ²ΠΎΡΡΡΡ (ΠΏΠΎΡΠ»Π΅Π΄Π½Π΅ΠΉ Π² ΡΠ°Π±ΠΎΡΠ΅ Π΄Π°Π΅ΡΡΡ ΡΠΎΡΠ½ΠΎΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅). ΠΠ±ΠΎΡΠ½ΠΎΠ²ΡΠ²Π°Π΅ΡΡΡ Π³ΠΈΠΏΠΎΡΠ΅Π·Π° ΠΎ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΏΡΠΎΡΠΈΠ²ΠΎΡΠ΅ΡΠΈΠ²ΠΎΡΡΠΈ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ Π°ΡΠΈΡΠΌΠ΅ΡΠΈΠΊΠΈ
The Principle of Compositionality in Formal Axiological Semantics of the Natural Language. Evaluation-Functions Determined by a Finite Number of Evaluation-Variables in Two-Valued Algebraic System of Formal Axiology as Meanings of Words and Complex Word Combinations in the Natural Language of Culture
Π ΡΠΊΠΎΠΏΠΈΡΡ ΠΏΠΎΡΡΡΠΏΠΈΠ»Π° Π² ΡΠ΅Π΄Π°ΠΊΡΠΈΡ 14 ΡΠ½Π²Π°ΡΡ 2015 Π³.ΠΡΠ΅Π΄ΠΌΠ΅Ρ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ β ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠ΅ΠΌΠ°Π½ΡΠΈΠΊΠ° Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ·ΡΠΊΠ° Π²ΠΎΠΎΠ±ΡΠ΅ ΠΈ Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ·ΡΠΊΠ° ΡΡΠΈΠΊΠΈ (ΡΠΈΠ»ΠΎΡΠΎΡΠΈΠΈ ΠΌΠΎΡΠ°Π»ΠΈ) ΠΈ ΡΠ΅Π»ΠΈΠ³ΠΈΠΈ Π² ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ. ΠΠ΅ΡΠΎΠ΄ β Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠ΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅: ΠΊΠ°ΡΠ΅Π³ΠΎΡΠΈΠΈ Β«Π±ΡΡΠΈΠ΅Β», Β«Π½Π΅Π±ΡΡΠΈΠ΅Β», Β«Π΄ΠΎΠ·Π²ΠΎΠ»Π΅Π½ΠΈΠ΅Β», Β«ΡΠ±ΠΈΠΉΡΡΠ²ΠΎΒ», Β«ΡΠ°ΠΌΠΎΡΠ±ΠΈΠΉΡΡΠ²ΠΎΒ», Β«ΠΠΎΠ³Β», Β«Π²Π΅ΡΠ°Β», Β«Π½Π°Π΄Π΅ΠΆΠ΄Π°Β», Β«Π»ΡΠ±ΠΎΠ²ΡΒ» ΠΈ Π΄ΡΡΠ³ΠΈΠ΅ ΡΠΎΡΠ½ΠΎ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΡΡ ΠΈ ΠΈΡΡΠ»Π΅Π΄ΡΡΡΡΡ ΠΊΠ°ΠΊ ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΎΡ ΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΠΈΡΠ»Π° ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
. ΠΠ°ΡΡΠ½Π°Ρ Π½ΠΎΠ²ΠΈΠ·Π½Π° ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠΎΠ²: Π½Π° ΡΡΠΎΠ²Π½Π΅ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠΉ Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΠΎΠΉ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΠΈ Π²ΠΏΠ΅ΡΠ²ΡΠ΅ ΠΏΡΠΎΠ΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°Π½ΠΎ, ΡΡΠΎ ΠΎΠ±ΠΎΠ±ΡΠ΅Π½Π½ΡΠΉ Π»ΠΈΠ½Π³Π²ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΡΠΈΠ½ΡΠΈΠΏ ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΡΡΠΈ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΡΠ»ΠΎΠΆΠ½ΡΡ
Π²ΡΡΠ°ΠΆΠ΅Π½ΠΈΠΉ ΡΠ·ΡΠΊΠ° ΠΈΡΠΏΡΠ°Π²Π½ΠΎ ΡΡΠ½ΠΊΡΠΈΠΎΠ½ΠΈΡΡΠ΅Ρ Π² ΡΠ·ΡΠΊΠ΅ ΠΌΠΎΡΠ°Π»ΠΈ ΠΈ ΡΠ΅Π»ΠΈΠ³ΠΈΠΈ. Π’Π΅ΠΌ ΡΠ°ΠΌΡΠΌ ΠΏΡΠΎΠ΄Π΅ΠΌΠΎΠ½ΡΡΡΠΈΡΠΎΠ²Π°Π½ΠΎ, ΡΡΠΎ, Π² ΡΡΡΠ½ΠΎΡΡΠΈ, ΡΠ΅ΠΌΠ°Π½ΡΠΈΠΊΠ° ΡΠ·ΡΠΊΠ° ΠΊΡΠ»ΡΡΡΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ Π½Π΅ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ (ΠΈΡΡΠΈΠ½Π½ΠΎΡΡΠ½ΠΎ-ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ), Π° ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠΉ (ΡΠ΅Π½Π½ΠΎΡΡΠ½ΠΎ-ΡΡΠ½ΠΊΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎΠΉ).This research is devoted to formal axiological semantics of the natural language in general and that of the natural language of ethics (moral philosophy) and religion in particular. The method applied is discrete mathematical modelling: the categories of βbeingβ, βnonbeingβ, βpermittingβ, βkillingβ, βsuicideβ, βGodβ, βfaithβ, βhopeβ, βloveβ, and others are defined and studied as evaluation-functions determined by a finite number of evaluationvariables. The article demonstrates the effectiveness of the generalized linguistic principle of compositionality when applied to the language of morality and religion. Thus, it is shown that semantics of the language of culture is in fact not formal-logical (truth-functional) but formal-axiological (value-functional)
A formal-axiological equivalence of the rationalistic and sensualistic criteria of existence in two-valued algebra of metaphysics (A discrete mathematical simulation of evaluative aspect of the rationalistic and sensualistic doctrines of existence, non-contradiction and sensual perception of material things)
The paper is investigating philosophical notions "feeling", "matter", "being", "knowledge", "universality", "infiniteness" and other as evaluation-functions determined by two evaluation-variables in two-valued algebra of metaphysics, which is understood as nothing but formal axiology. The evaluation functions under investigation are precisely defined by evaluation tables. Strict definitions of the notions "formal-axiological equivalence" and "law of algebra of metaphysics" are given. By means of these definitions a list of equations and laws of the algebra is generated. Elements of this list are connected with the relevant aspects of the history of philosophy. The paper submits precise formulations and tabular substantiations of laws of contraposition of the binary operations "knowledge", "universality" and "infiniteness" in two-valued algebra of metaphysics. The paper indicates precisely that concrete relation (formal-axiological one) and that specific condition (namely, contraposition), under which the rationalistic and sensualistic criteria of existence are equivalent.Π ΡΡΠ°ΡΡΠ΅ ΠΈΡΡΠ»Π΅Π΄ΡΡΡΡΡ ΡΠΈΠ»ΠΎΡΠΎΡΡΠΊΠΈΠ΅ ΠΏΠΎΠ½ΡΡΠΈΡ Β«ΠΎΡΡΡΠ΅Π½ΠΈΠ΅Β», Β«ΠΌΠ°ΡΠ΅ΡΠΈΡΒ», Β«Π±ΡΡΠΈΠ΅Β», Β«Π·Π½Π°Π½ΠΈΠ΅Β», Β«Π²ΡΠ΅ΠΎΠ±ΡΠ΅Π΅Β», Β«Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΠ΅Β» ΠΈ Π΄Ρ. ΠΊΠ°ΠΊ ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΠΎΡ Π΄Π²ΡΡ
ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΡ
Π² Π΄Π²ΡΠ·Π½Π°ΡΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΠ΅ ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΠΊΠΈ, ΠΊΠΎΡΠΎΡΠ°Ρ ΡΡΠ°ΠΊΡΡΠ΅ΡΡΡ ΠΊΠ°ΠΊ ΡΠΎΡΠΌΠ°Π»ΡΠ½Π°Ρ Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡ. ΠΡΡΠ»Π΅Π΄ΡΠ΅ΠΌΡΠ΅ ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΠ΅ ΡΡΠ½ΠΊΡΠΈΠΈ ΡΠΎΡΠ½ΠΎ ΠΎΠΏΡΠ΅Π΄Π΅Π»ΡΡΡΡΡ ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΠΌΠΈ ΡΠ°Π±Π»ΠΈΡΠ°ΠΌΠΈ. ΠΠ°Π΅ΡΡΡ ΡΡΡΠΎΠ³ΠΎΠ΅ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΠΏΠΎΠ½ΡΡΠΈΠΉ Β«ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠΊΠ²ΠΈΠ²Π°Π»Π΅Π½ΡΠ½ΠΎΡΡΡΒ» ΠΈ Β«Π·Π°ΠΊΠΎΠ½ Π°Π»Π³Π΅Π±ΡΡ ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΠΊΠΈΒ». ΠΠ° ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠΈ ΡΡΠΈΡ
Π΄Π΅ΡΠΈΠ½ΠΈΡΠΈΠΉ Π³Π΅Π½Π΅ΡΠΈΡΡΠ΅ΡΡΡ ΡΠΏΠΈΡΠΎΠΊ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ ΠΈ Π·Π°ΠΊΠΎΠ½ΠΎΠ² ΠΈΡΡΠ»Π΅Π΄ΡΠ΅ΠΌΠΎΠΉ Π°Π»Π³Π΅Π±ΡΡ. ΠΠ°Π΅ΡΡΡ ΡΠΎΡΠ½Π°Ρ ΡΠΎΡΠΌΡΠ»ΠΈΡΠΎΠ²ΠΊΠ° ΠΈ ΡΠ°Π±Π»ΠΈΡΠ½ΠΎΠ΅ ΠΎΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ Π·Π°ΠΊΠΎΠ½ΠΎΠ² ΠΊΠΎΠ½ΡΡΠ°ΠΏΠΎΠ·ΠΈΡΠΈΠΈ Π±ΠΈΠ½Π°ΡΠ½ΡΡ
ΠΎΠΏΠ΅ΡΠ°ΡΠΈΠΉ Β«Π·Π½Π°Π½ΠΈΠ΅Β», Β«ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΠΎΡΡΡΒ» ΠΈ Β«Π±Π΅ΡΠΊΠΎΠ½Π΅ΡΠ½ΠΎΡΡΡΒ» Π² Π΄Π²ΡΠ·Π½Π°ΡΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΠ΅ ΠΌΠ΅ΡΠ°ΡΠΈΠ·ΠΈΠΊΠΈ. Π‘ΡΠ°ΡΡΡ ΡΠΎΡΠ½ΠΎ ΡΠΊΠ°Π·ΡΠ²Π°Π΅Ρ Π½Π° ΠΊΠΎΠ½ΠΊΡΠ΅ΡΠ½ΠΎΠ΅ ΠΎΡΠ½ΠΎΡΠ΅Π½ΠΈΠ΅ (ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ΅) ΠΈ ΡΠΏΠ΅ΡΠΈΡΠΈΡΠ΅ΡΠΊΠΎΠ΅ ΡΡΠ»ΠΎΠ²ΠΈΠ΅ (ΠΊΠΎΠ½ΡΡΠ°ΠΏΠΎΠ·ΠΈΡΠΈΡ), ΠΏΡΠΈ ΠΊΠΎΡΠΎΡΠΎΠΌ ΡΠ°ΡΠΈΠΎΠ½Π°Π»ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΈ ΡΠ΅Π½ΡΡΠ°Π»ΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΊΡΠΈΡΠ΅ΡΠΈΠΈ ΡΡΡΠ΅ΡΡΠ²ΠΎΠ²Π°Π½ΠΈΡ ΡΠΊΠ²ΠΈΠ²Π°Π»Π΅Π½ΡΠ½Ρ