134 research outputs found
ΠΠ½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΡ: Π²ΡΠ΅ΠΌΠΎΠ³ΡΡΠ΅ΡΡΠ²ΠΎ ΠΠΎΠ³Π° ΠΊΠ°ΠΊ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠΉ Π·Π°ΠΊΠΎΠ½ Π² Π΄Π²ΡΠ·Π½Π°ΡΠ½ΠΎΠΉ Π°Π»Π³Π΅Π±ΡΠ΅ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΠΈΠΊΠΈ (ΠΠ±ΠΎΡΠ½ΠΎΠ²Π°Π½ΠΈΠ΅ ΡΡΠΎΠ³ΠΎ Π·Π°ΠΊΠΎΠ½Π° "Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠ΅ΠΌ" ΡΠΎΠΎΡΠ²Π΅ΡΡΡΠ²ΡΡΡΠΈΡ ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΡ ΡΡΠ½ΠΊΡΠΈΠΉ)
The paper submits a significantly new method for analytical theology β mathematical representing and solving knotty problems of theology by means of constructing and investigating their discrete mathematical models at the level of artificial language of algebraic system of formal ethics. For the first time Godβs omnipotence is formulated by the artificial language and demonstrated as a formal-axiological law by βcomputingβ relevant evaluation-functions2
Problems and prospects of digitalization and informatization of forest education in Russia
Digital technologies are rapidly invading all spheres of life of modern society. Education is no exception. On the contrary, education is becoming one of the main subjects and beneficiaries of digitalization in the broad sense of the word, often in the most unexpected areas of knowledge obtaining, mastering and applying. Β© Published under licence by IOP Publishing Ltd
The ethical expertise, mathematical models and computer scencies
ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΡΠΎΡΠΌΡΠ»ΠΈΡΠΎΠ²ΠΊΠ° Π²ΡΡΠ΅ΡΠΏΠΎΠΌΡΠ½ΡΡΠΎΠ³ΠΎ Π²ΠΎΠΏΡΠΎΡΠ° ΠΈ ΠΎΡΠ²Π΅ΡΠ° Π½Π° Π½Π΅Π³ΠΎ (Β«Π‘ΠΌΡΡΠ» ΠΆΠΈΠ·Π½ΠΈ Π² ΡΠ°ΠΌΠΎΠΉ ΠΆΠΈΠ·Π½ΠΈΒ») Π² Π°Π»Π³Π΅Π±ΡΠ΅ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΠΈΠΊΠΈ ΠΏΡΠΈ ΠΏΠΎΠΌΠΎΡΠΈ ΡΠΎΡΠ½ΡΡ
ΡΠ°Π±Π»ΠΈΡΠ½ΡΡ
ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠΉ ΠΌΠΎΡΠ°Π»ΡΠ½ΡΡ
ΡΠ΅Π½Π½ΠΎΡΡΠ½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ: Β«ΡΠΌΡΡΠ», ΡΠ΅Π»Ρ (ΡΠ΅Π³ΠΎ, ΠΊΠΎΠ³ΠΎ) sΒ»; Β«ΠΆΠΈΠ·Π½Ρ (ΡΠ΅Π³ΠΎ, ΠΊΠΎΠ³ΠΎ) sΒ»; Β«Π±ΡΡΠΈΠ΅ (ΡΠ΅Π³ΠΎ, ΠΊΠΎΠ³ΠΎ) s Π² (ΡΠ΅ΠΌ, ΠΊΠΎΠΌ) wΒ».A precise formulation of the above-mentioned question and of the answer for it (βSense of life exists in life itselfβ) is submitted in algebra-of-formal-ethics by means of precise tabular definitions of the moral-evaluation-functions: βsense, aim of (what, whom) sβ; βlife of (what, whom) sβ; βsβ-being-in-wβ
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
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
3D OBJECT RECONSTRUCTION IN A PRE-DIGITAL ERA: CASE STUDY IN THE HISTORY OF RESTORATION
Restoration of the ensemble of parks, palaces and fountains of Peterhof (Petrodvorets) near St. Petersburg (Leningrad), Russia, is one of world-renowned restoration projects of the post - World War II period. However, little has been analysed of this unique restoration experience. This paper presents a specific episode in the history of this restoration project.The Peterhof ensemble is a complex historic site which includes many palaces, structures and fountains covering 18 square km of parks and gardens. The Grand Palace, - the central and the largest building of this ensemble, was built at the edge of a natural terrace, with a view to the sea (the Gulf of Finland) and the Lower Park at the foot of the terrace. This dominant spatial-architectural role of the Grand Palace was emphasized by its highest elements β two cupolas of its eastern and western parts. The cupolas were heavily damaged during World War II and shape reconstruction had to be undertaken for their restoration. The restoration of cupolas was one of the first and important steps in the restoration of the Peterhof ensemble.This paper focuses on the approach, methodology and the selected technological aspects of the restoration of cupolas of the Grand Palace, with a view to their interpretation at the time of restoration of cupolas (1950-s) as well as to modern restoration principles. It shows the process and methods of non-digital reconstruction of the shape of 3D object aided by non-digital models, unique decisions and techniques.</p
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
ΠΠ½Π°Π»ΠΈΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΡΠΈΠ»ΠΎΡΠΎΡΠΈΡ Π΅ΡΡΠ΅ΡΡΠ²Π΅Π½Π½ΠΎΠ³ΠΎ ΡΠ·ΡΠΊΠ° ΡΡΠΈΡΠΏΡΡΠ΄Π΅Π½ΡΠΈΠΈ, ΡΡΠΈΠΊΠΈ ΠΈ ΡΠ΅ΠΎΠ»ΠΎΠ³ΠΈΠΈ (ΡΠ΅ΡΡΡΠ΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠ΅ ΡΠΎΡΠΌΠ°Π»ΡΠ½ΠΎ-Π°ΠΊΡΠΈΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΠ΅ Π·Π½Π°ΡΠ΅Π½ΠΈΡ ΡΠ»ΠΎΠ²Π° "Π·Π°ΠΊΠΎΠ½" ΠΈ ΡΠ΅ΡΡΡΠ΅ β "Π²Π»Π°ΡΡΡ")
The analysis of the natural language of the philosophy of natural law, natural mo-rality and natural theology results in the realization of the existence of a quartet of mathemat-ically different formal-axiological meanings of the word βlawβ and their definition in the two-valued algebra of formal axiology. The positive constitutional law of the separation of legislative and executive powers is substantiated by calculating the corresponding functions in this algebra
- β¦