The problem of freedom is researched in various ways by the religions of the world, by the scientific theories and by the mythological consciousness of people. The article pays great attention to the myth and its influence on the realm of freedom and on our interpretation of reality. The author understands a myth as a certain free fiction of a man in order to interpret reality in his own way and sometimes to create his own artistic image of the world. (...) Often the myth stimulates the ability of the imagination and thus it participates in the creation and existence of personality. It is argued that the traces of the myth can be found in most ways of orientation in the material and ideal worlds as well as in the systems of human interests and relationships, in the original human desire of freedom. The problem of freedom is central to all human history. Freedom of conscience, freedom of speech, political freedoms - one can name a large number of different freedoms, but the freedom of creativity should be considered as principal freedom. It should be noted also the freedom of thought, which can lead a cognizing person beyond the worlds of substances and energies, to the place where the Eternal Creator should abide. As the world religions believe, we inherit the capacity for creativity and self-knowledge from God. The very same creative freedom exists historically. Freedom of thought is accompanied by spontaneity and mystery. Spontaneity of consciousness and freedom of creativity create a system of meanings that determine the course of human history, while history is perceived by an observer as a completely unique, cognizable phenomenon. (shrink)

The article discusses typical for human nature propensity for cognition and understanding. Cognition is a long process of orientation of thought in the world full of substances and energies. This process begins together with an appearing of personality and forms that personality. Understanding is human ability to fit systems of belief and knowledge into the world view recognized by the scientific academy, оr alternatively, to fit one into the religious doctrines. For a more prominent research of cognition and understanding it (...) is necessary to distinguish subjectivity levels. The one is contained in us as we are the subjects of collective cognition and understanding, and the second contains my “Self”. These levels can also be called “ours” and “mine.” In regards to cognition and understanding, a personality can designate and consider them as the heritage of all mankind and as his personal heritage. These both have a certain meaning. Further it is necessary to conclude that cognition and understanding have different shades of meaning depending on the field where they are supposed to be used. In the process of researching the problem, we realize the need to underline the problem of meanings in the creative nature of the personality. Meaning and creativity together form a personality, it is a vivid expression of human nature. The most important properties of a personality’s consciousness are cognition, understanding, and the ability to produce meanings. Discussion of cognition and understanding within the framework of the article can only have a relative accomplishment and must be further developed via new meanings. (shrink)

This chapter examines what it means to take time seriously. It begins with an examination of the arguments of Kant and Bradley for the view that time is not an ultimate primitive of reality. Then Bergson’s attempt to take time seriously is criticised. Bergson’s duration fails to capture the content of our concept of time. Space is just as important and it plays a unique role in explaining facts about our concept of time. Thus, in order to take time seriously (...) we need to posit space-time of which space and time are mere aspects. Consequences about the nature of time with respect to theories of motion, temporal progression in the universe, universals and God are also discussed. (shrink)

This paper is an abstract of the report which was presented on the Polish-Soviet meeting on logic . It is shown that one can consider a lineary-ordered Heyting’s and Brouwer’s algebras as truth-values for Lukasiewicz’s infinite-valued logic’s Lω.

A survey is given of three-valued paraconsistent propositionallogics connected with Jaśkowski’s criterion for constructing paraconsistentlogics. Several problems are raised and four new matrix three-valued paraconsistent logics are suggested.

Democracy as one of the forms of a governance and political process is at the same time a political value. The value’s aspects of democracy are closely connected with the character of democratic political regime, democratic process and democratic political culture of society. in the structure of democratic values one may roughly point out horizontal facet of them and vertical one. Horizontal values include following values: general social domain; the sphere of political institutions; the aspects of political process and procedures; (...) cultural sphere. As a rule, these values are out of doubt, though this fact doesn’t preclude there critic from various opponents of democracy. On the contrary, it’s a hierarchy of democratic values, which is the vertical facet of them is the point at scientific andpolitical debates. This fact also causes various approaches to democracy. The problems of democratic values inseparably linked with the questions about there universal character. Under an analysis of the universal character of democratic values it’s necessary to take into account its socioantropological aspect. The point is about developing essence of the human being under the impact of diverse internal and external factors. (shrink)

This paper studies the notion of virtuality in the Bohr-Kramers-Slater theory of 1924. We situate the virtual entities of BKS within the tradition of the correspondence principle and the radiation theory of the Bohr model. We show how, in this context, virtual oscillators emerged as classical substitute radiators and were used to describe the otherwise elusive quantum transitions. They played an effective role in the quantum theory of radiation while remaining categorically distinct and ontologically separated from the quantum world of (...) the Bohr model. The notion of virtuality thus differs markedly from its counterpart in quantum mechanics or QFT. (shrink)

Objectivité veut dire coercition. Où réside ce caractère dans le cas des plus hautes valeurs? Elles sont toutes des artifices, et une satisfaction donnée à certaines tendances des hommes. C’est pourquoi leur objectivité consiste non dans la contrainte de la nature sur l’esprit, mais dans celle de l’esprit sur l’esprit. De là naissent des étalons de valeur. Objections : 1° tirée de la valeur absolue : en quel sens elle existe, 2° de la valeur « subhumaine ». La valeur comme (...) forme universelle, son existence comme « élection naturelle ». (shrink)

This chapter focuses on the ontological nature of the past and our experience of the present in relation to the actual. It is argued that philosophers mistakenly equate the real with the actual. The actual is what is presented to us in experience, but what is presented to us in experience is confined to the present; so one might think that it follows that only the present is real. This presentist theory is subsequently rejected. Past, present and future are real (...) and certain mental acts such as memories of the past and expectations of the future have as their content objects at those times; these objects are just as real as the objects of present experiences. This paves the way for a distinctive brand of eternalism that is defended in the remainder of this chapter. (shrink)

§1. I will start with a quick definition of descriptive set theory: It is the study of the structure of definable sets and functions in separable completely metrizable spaces. Such spaces are usually called Polish spaces. Typical examples are ℝn, ℂn, Hilbert space and more generally all separable Banach spaces, the Cantor space 2ℕ, the Baire space ℕℕ, the infinite symmetric group S∞, the unitary group, the group of measure preserving transformations of the unit interval, etc.In this theory sets are (...) classified in hierarchies according to the complexity of their definitions and the structure of sets in each level of these hierarchies is systematically analyzed. In the beginning we have the Borel sets in Polish spaces, obtained by starting with the open sets and closing under the operations of complementation and countable unions, and the corresponding Borel hierarchy. After this come the projective sets, obtained by starting with the Borel sets and closing under the operations of complementation and projection, and the corresponding projective hierarchy.There are also transfinite extensions of the projective hierarchy and even much more complex definable sets studied in descriptive set theory, but I will restrict myself here to Borel and projective sets, in fact just those at the first level of the projective hierarchy, i.e., the Borel (), analytic () and coanalytic () sets. (shrink)

We prove the following Main Theorem: $ZF + AD + V = L(R) \Rightarrow DC$ . As a corollary we have that $\operatorname{Con}(ZF + AD) \Rightarrow \operatorname{Con}(ZF + AD + DC)$ . Combined with the result of Woodin that $\operatorname{Con}(ZF + AD) \Rightarrow \operatorname{Con}(ZF + AD + \neg AC^\omega)$ it follows that DC (as well as AC ω ) is independent relative to ZF + AD. It is finally shown (jointly with H. Woodin) that ZF + AD + ¬ DC (...) R , where DC R is DC restricted to reals, implies the consistency of ZF + AD + DC, in fact implies R # (i.e. the sharp of L(R)) exists. (shrink)

We discuss Smirnovs problem of finding a common background for classifying implicational logics. We formulate and solve the problem of extending, in an appropriate way, an implicational fragment H of the intuitionistic propositional logic to an implicational fragment TV of the classical propositional logic. As a result we obtain logical constructions having the form of Boolean lattices whose elements are implicational logics. In this way, whole classes of new logics can be obtained. We also consider the transition from implicational logics (...) to full logics. On the base of the lattices constructed, we formulate the main classification principles for propositional logics. (shrink)

In this fresh interpretation of Heidegger, Alexander S. Duff explains Heidegger's perplexing and highly varied political influence. Heidegger and Politics argues that Heidegger's political import is forecast by fundamental ambiguities about the status of politics in his thought. Duff explores how, in Being and Time as well as earlier and later works, Heidegger analyzes 'everyday' human existence as both irretrievably banal but also supplying our only tenuous path to the deepest questions about human life. Heidegger thus points to two (...) irreconcilable attitudes toward politics: either a total and purifying revolution must usher in an authentic communal existence, or else we must await a future deliverance from the present dispensation of Being. Neither attitude is conducive to moderate politics, and so Heidegger's influence tends towards extremism of one form or another, modified only by explicit departures from his thought. (shrink)

LetXbe a standard Borel space, and letEbe acountableBorel equivalence relation onX, i.e., a Borel equivalence relationEfor which every equivalence class [x]Eis countable. By a result of Feldman-Moore [FM],Eis induced by the orbits of a Borel action of a countable groupGonX.The structure of general countable Borel equivalence relations is very little understood. However, a lot is known for the particularly important subclass consisting of hyperfinite relations. A countable Borel equivalence relation is calledhyperfiniteif it is induced by a Borel ℤ-action, i.e., by (...) the orbits of a single Borel automorphism. Such relations are studied and classified in [DJK]. It is shown in Ornstein-Weiss [OW] and Connes-Feldman-Weiss [CFW] that for every Borel equivalence relationEinduced by a Borel action of a countable amenable groupGonXand for every probability measure μ onX, there is a Borel invariant setY⊆Xwith μ = 1 such thatE↾Y is hyperfinite. Motivated by this result, Weiss [W2] raised the question of whether everyEinduced by a Borel action of a countable amenable group is hyperfinite. Later on Weiss showed that this is true forG= ℤn. However, the problem is still open even for abelianG. Our main purpose here is to provide a weaker affirmative answer for general amenableG. We need a definition first. Given two standard Borel spacesX, Y, auniversally measurableisomorphism betweenXandYis a bijection ƒ:X→Ysuch that both ƒ, ƒ-1are universally measurable. Notice now that to assert that a countable Borel equivalence relation onXis hyperfinite is trivially equivalent to saying that there is a standard Borel spaceYand a hyperfinite Borel equivalence relationFonY, which isBorelisomorphic toE, i.e., there is a Borel bijection ƒ:X→YwithxEy⇔ ƒFƒ. We have the following theorem. (shrink)

In this paper we define n+1-valued matrix logic Kn+1 whose class of tautologies is non-empty iff n is a prime number. This result amounts to a new definition of a prime number. We prove that if n is prime, then the functional properties of Kn+1 are the same as those of ukasiewicz's n +1-valued matrix logic n+1. In an indirect way, the proof we provide reflects the complexity of the distribution of prime numbers in the natural series. Further, we introduce (...) a generalization K n+1 * of Kn+1 such that the set of tautologies of Kn+1 is not empty iff n is of the form p , where p is prime and is natural. Also in this case we prove the equivalence of functional properties of the introduced logic and those of n+1. In the concluding part, we discuss briefly a partition of the natural series into equivalence classes such that each class contains exactly one prime number. We conjecture that for each prime number the corresponding equivalence class is finite. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Kennedy Institute of Ethics Journal 13.1 (2003) 51-52 [Access article in PDF] Congress Considers Incentives for Organ Procurement Alexander S. Curtis [Tables]During the 108th Congressional session, several bills pertaining to ethical incentives for organ donation likely will be introduced. In some cases, they will be similar to bills before the 107th Congress (see Table 1). Bills in both the House of Representatives and the Senate address the establishment (...) and maintenance of donor registries, financial reimbursements for medical and nonmedical expenses incurred by qualifying donors, the presentation of commemorative medals, and tax credits.A bill entitled "Gift of Life Congressional Medal Act" (introduced last year by Senate majority leader Bill Frist (R-TN) as Senate Bill 325), and its corresponding bill of the same title (passed in the House of Representatives last year as H.R. 708), would establish a congressional commemorative medal honoring "any organ donor, or the family or family member of any organ donor." The medal is to be designed and struck with "suitable emblems, devices, and inscriptions" by the Secretary of the Treasury. The eligible donor or donor's family member would be presented with the medal by the Secretary of Health and Human Services. This bill would establish qualifying donations as those of human kidneys, livers, hearts, lungs, pancreases, or any other organ, but excludes corneas and eyes.Another bill, introduced by Representative Michael Bilirakis (R-FL) entitled "Organ Donation Improvement Act" (H.R. 624), would award grants or contracts to states, transplant centers, and qualified organ procurement organizations for the purpose of providing travel, subsistence, and incidental nonmedical expenses to individuals who make living donations. In order to receive reimbursement, the donating individuals must reside in states other than the states in which the intended recipients reside and the annual income of those receiving the organs cannot exceed $35,000. The bill also would appropriate $15,000,000 to make grants to states and public and nonprofit entities for the purpose of carrying out studies, public education demonstrations, and outreach activities "designed to increase the number of organ donors within the state." The bill would be effective from time of enactment through 2005. [End Page 51]Two other bills proposed within the House of Representatives in 2002 called for amendment to the Internal Revenue Code. The "Gift of Life Tax Credit Act (introduced as H.R. 1872 by Representative James Hansen (R-UT)) and the "Help Organ Procurement Expand Act" (introduced as H.R. 2090 by Representative Chris Smith (R-NJ)) present a refundable credit to individuals or to the estates of those who agree either to be living donors or to donate their organs upon death. The "Gift of Life Tax Credit Act" refunds $10,000 to the estates of eligible individuals "for the taxable year which includes the date of the individual's death." The "Help Organ Procurement Expand Act" offers a refund of $2,500 to qualified persons. Donations of kidneys, livers, pancreases, islet cells, lungs, and intestines are accepted, however several conditions restrict permissible donors. The "Gift of Life Tax Credit Act" requires that the legally competent individual's death not be due to a suicide and that the intention to donate was clearly declared. The "Help Organ Procurement Expand Act" prohibits donations from individuals who were killed with physician assistance, died as a result of a suicide, have been indicted or convicted of a felony or a misdemeanor offense, or are actively under criminal investigation for a possible felony offense. The "Help Organ Procurement Expand Act" also restricts procuring organs from unborn children or human fetuses and under circumstances in which the living donor would be subject to "unacceptable levels of medical risk of death or permanent debilitation." Alexander S. Curtis is a research assistant at the Kennedy Institute of Ethics, Georgetown University, Washington, DC. He received his bachelor's degree from Miami University.... (shrink)

Let Γ be a collection of relations on the reals and let M be a set of reals. We call M a perfect set basis for Γ if every set in Γ with parameters from M which is not totally included in M contains a perfect subset with code in M. A simple elementary proof is given of the following result (assuming mild regularity conditions on Γ and M): If M is a perfect set basis for Γ, the field of (...) every wellordering in Γ is contained in M. An immediate corollary is Mansfield's Theorem that the existence of a Σ 1 2 wellordering of the reals implies that every real is constructible. Other applications and extensions of the main result are also given. (shrink)

This chapter is about logic and the relationship between truth/thought and reality. The specific concern is the relation between ground and cause. On one view, the ground of an inference is identical with the respective cause. But there are cases where the ground is not some physical event, but rather something non-causal, as in judgements about similarity among objects in intrinsic respects. It is argued that cause is logically prior to ground. The world as a system is founded on vast (...) webs of causal relations, and these causal relations or larger causal structure have a temporal component; hence time figures in the structuring base of reality and system. A view about judgement and inference is then developed: inference is the scientist’s tool, whereas judgements are the material, just like the marble is the material from which the sculptor creates a statue. This leads to an objectivist theory of judgement. (shrink)

The article examines the processes taking place in contemporary musical culture, and the emphasis is placed on the situation that has developed today in the musical life of Russia. It is noted that many contemporary composers in Russia are breaking with the domestic artistic traditions, focusing on the creative initiatives of composers living in the West. Among the Russian composers, the SoMa group composers are distinguished by a special intransigence to the principles of artistic creativity that tradionally developed in Russia, (...) they loudly declared: “Contemporary Russian music is us.” At the same time, it should be taken into account that Russian music is inextricably linked with the artistic traditions of Russia, which, first of all, is manifested in the reliance of the musical material on the songfulness that originates in the liturgical Orthodox singing. It is emphasized that today in Russia there are composers who maintain contact with the tradition, thereby preserving the achievements of Russian music. Among them, first of all, are the composers who are part of the MOST group. Moreover, the composers work in all cities of Russia – from Kaliningrad to Vladivostok – and increase the glory of Russia by their creativity. An interview is given with one of them – the Perm composer Nikita Shirokov. In conclusion, the author discusses the prospects for the development of the journal’s section – it is planned to publish materials and interviews related to the contemporary musical life in other countries. (shrink)

This book presents the first detailed account of Werner Heisenberg’s failed attempt to find a theory of everything in the autumn of his career. It further investigates what we can learn from his failure in relation to the search for a final theory of physics, an endeavour that continues to define research in fundamental physics to this day. Thereby it provides the first historically informed contribution to the current debate on post-empirical physics and the state of particle physics.

Book Review: P.P. Tolochko. Ukraine between Russia and the West: Historical and Nonfiction Essays. Saint Petersburg: Saint Petersburg University of Humanities and Social Sciences, 2018. - 592 pp. ISBN 978-5-7621-0973-4This author discusses the problem of scientific objectivity and reviews a book written by the medievalist-historian P.P. Tolochko, full member of the National Academy of Sciences of Ukraine, honorable director of the NASU Institute of Archaeology. The book was published by the Saint Petersburg University of Humanities and Social Sciences in the (...) autumn of 2018. The book presents a collection of articles and reports devoted to processes in Ukraine and, first of all, in Ukrainian historical science, which, at the moment, is experiencing an era of serious reformation of its interpretative models. The author of the book shows that these models are being reformed to suit the requirements of the new ideology, with an obvious disregard for the conduct of objective scientific research. In this regard, the problem of objectivity of scientific research becomes the subject of this review because the requirement of objectivity can be viewed not only as a methodological requirement but also as a moral and political position, opposing the rigor of scientific research to the impact of ideological, political and moral systems and judgments. It is concluded that in this sense the position of P.P. Tolochko can be considered as the act of profound ethical choice. (shrink)

Crown under Law is an investigation of the constitutional idea through an exploration of the political thought of Richard Hooker and John Locke. It should appeal to academics within a number of disciplines including history of ideas, political philosophy, philosophy of law, and theology.