After Kant the meaning of freedom is considered not so much as inner experience, but rather as a requisite to understand the world. In this regard an act of freedom is not one among many human acts, but their precondition and cause. In its highest reaches freedom thus provides existence with a final possibility in which it presents itself as an aesthetic monolith. Aesthetics of freedom considers its sublimity, one that confronts the misery of suffering its deprivation. The syncope of (...) freedom consists in itself its aesthetic feasibility as a lunge equal to reaching, but not discovering freedom, the same freedom many have viewed differently in numerous moments of aspiration through the ages, but have never discovered it in the entirety of its sublimity due to evading responsibility for it. This presentation attempts to contribute to understanding whether the philosophical concept of freedom is in fact comparable to a square circle. (shrink)

Strategic Environmental Assessment, as a support to strategic planning, is a starting point in the creation of a sustainable concept of managing waste that is based on the principles of a circular economy. The role of SEA is to guide the planning process towards the goal of securing the best effects in relation to the quality of the living environment and the socio-economic aspects of development. SEA is also an instrument that can be used when making optimal decisions about spatial (...) development, which further contributes to its importance and role in the planning process. The implementation of SEA allows developers to establish the benefits and implications of the proposed spatial changes, taking into account the capacity of the space to sustain the planned development, and to determine the degree of acceptability of the proposed spatial changes. This paper presents a specific method used for impact assessment in SEA for the Agro-Waste Management Plan for Oplenac Vineyard. The specificity of this method is that it combines specific goals, indicators and criteria for assessing the effect of planning solutions formulated in the simulated AWMP for Oplenac Vineyard using a semi-quantitative expert method. The results of the paper indicate the possibility of using GIS tools to increase objectivity in the expert evaluation of planning solutions, particularly in relation to a group of criteria for assessing the spatial dispersion of the impacts. This reduces the subjectivity that is characteristic of all expert methods. The graphical presentation of the results in GIS technology and the use of matrices and graphs to present the results makes them easier to understand and creates a good basis for making optimal decisions on future activities concerning the elimination of waste from wineries and viticulture. The research was carried out within the framework of the NoAW project, which is supported by the European Commission through the Horizon2020 research and innovation program. (shrink)

Since the latest political changes, the FRY faces a choice of a transition strategy and privatization model whithin it. After ten years of transition in East Europen countries, well established patterns in marked oriented reforms and subsequent results are observed and could serve as policy lessons for the FRY. Regarding the significant impact that initial conditions have on efforts and results of transition macroeconomic policy and structural reform implementation, the paper presents the prevailing institutional setting of the Yugoslav economy inherited (...) from the communist regime. Also, the ten years of Yugoslav privatization experience is reported to have weak results due to the poor concept. Debates on privatization, as well on structural reforms and macroeconomic policy, have again become lively in the FRY.Depuis les derniers changements politiques, la République Fédérale de Yougoslavie fait face à un choix de stratégies de transition et de modèles de privatisation. Après dix années de transition dans les pays de l’Europe de l’Est, des schémas bien établis de réformes menant à l’économie de marché et les résultats qui en découlent sont observés et pourraient servir de leçon pour la République Fédérale de Yougoslavie sur le plan politique. Eu égard à l’impact significatif qu’ont les conditions initiales sur les efforts et les résultats de la politique macroéconomique de transition et d’instauration de la réforme structurelle, l’article souligne que l’environnement institutionnel de l’économie yougoslave est un héritage du régime communiste. Aussi, les dix années de privatisation en Yougoslavie ont donné lieu à des résultats peu significatifs, précisément à cause de l’héritage évoqué. Les débats autour de la privatisation, des réformes structurelles et de la politique macroéconomique sont à nouveau d’actualité en République Fédérale de Yougoslavie. (shrink)

Hermann Weyl was one of the twentieth century's most important mathematicians, as well as a seminal figure in the development of quantum physics and general relativity. He was also an eloquent writer with a lifelong interest in the philosophical implications of the startling new scientific developments with which he was so involved. Mind and Nature is a collection of Weyl's most important general writings on philosophy, mathematics, and physics, including pieces that have never before been published in any language or (...) translated into English, or that have long been out of print. Complete with Peter Pesic's introduction, notes, and bibliography, these writings reveal an unjustly neglected dimension of a complex and fascinating thinker. In addition, the book includes more than twenty photographs of Weyl and his family and colleagues, many of which are previously unpublished. Included here are Weyl's exposition of his important synthesis of electromagnetism and gravitation, which Einstein at first hailed as "a first-class stroke of genius"; two little-known letters by Weyl and Einstein from 1922 that give their contrasting views on the philosophical implications of modern physics; and an essay on time that contains Weyl's argument that the past is never completed and the present is not a point. Also included are two book-length series of lectures, The Open World and Mind and Nature, each a masterly exposition of Weyl's views on a range of topics from modern physics and mathematics. Finally, four retrospective essays from Weyl's last decade give his final thoughts on the interrelations among mathematics, philosophy, and physics, intertwined with reflections on the course of his rich life. (shrink)

John Searle e Maurizio Ferraris, due tra i più influenti pensatori in ontologia sociale, a dispetto delle radicali differenze tra le loro teorie circa il fondamento del mondo sociale, sono concordi su un punto: gli oggetti sociali sono fortemente dipendenti dai soggetti ma non sono soggettivi. Tuttavia, tale dipendenza non può essere spiegata a fondo attraverso la logica soggetto/oggetto. In questo senso, il presente contributo offre una visione più dinamica, che prende l’avvio dalla specificità del nostro essere-nel-mondo e dalla relazione, (...) complessa e circolare, tra la mente umana e l’ambiente socionaturale. (shrink)

We prove that there exists a function f which reduces a given Π1 1 subset P of an internal set X of an ω1-saturated nonstandard universe to the set WF of well-founded trees possessing properties similar to those possessed by the standard part map. We use f to define the Lusin-Sierpinski index of points in X, and prove the basic properties of that index using the classical properties of the Lusin-Sierpinski index. An example of a Π1 1 but not Σ1 (...) 1 set is given. (shrink)

We prove that every countably determined set C is U-meager if and only if every internal subset A of C is U-meager, provided that the cofinality and coinitiality of the cut U are both uncountable. As a consequence we prove that for such cuts a countably determined set C which intersects every U-monad in at most countably many points is U-meager. That complements a similar result in [KL]. We also give some partial solutions to some open problems from [KL]. We (...) prove that the set K = {1,...,H}, where H is an infinite integer, cannot be expressed as a countable union of countably determined sets each of which is U-meager for some cut U with min{cf (U), ci (U)} ≥ ω1. Also, every Borel, Σ1 m or countably determined set C which is U-meager for every cut U is a countable union of Borel, Σ1 m or countably determined sets respectively, which are U-nowhere dense for every cut U. Further, the class of Borel U-meager sets for min{cf(U), ci(U)} ≥ ω1 coincides with the least family of sets containing internal U-meager sets and closed with respect to the operation of countable union and intersection. The same is true if the phrase "U-meager sets" is replaced by "U-meager for every cut U.". (shrink)

What happens when people born in a “non-existing” country are faced with Italian burocracy? What happens if they want to get married? This short paper discusses, in a humorous way, some serious problems of our everyday social life made of documents, stamps, statements, licences, certificates, the immense realm where esse est scribi is a basic principle. What comes to light is that documents and data they posess determine our lives in a crucial way, and when they are not updated the (...) past seems to master the present. (shrink)

Discussions of metaphysical grounding have recently found their way into general jurisprudence. It is becoming increasingly common to frame the debate between positivism and antipositivism as a disagreement about what facts metaphysically ground legal facts. In this article we critically evaluate this grounding turn. First, we argue that articulating the debate about the nature of law in terms of grounding holds the promise of recasting it in a common vocabulary. Second, we argue that this comes at a cost: framing the (...) debate in this way obscures a range of further disagreements that cannot be usefully analyzed in terms of metaphysical grounding. We conclude that grounding may give us a clearer picture of what we already knew, while obfuscating a number of important questions to which it cannot, and is not intended to, provide answers. (shrink)

Given two internal sets X and Y we prove that every Borel function whose graph is a subset of the product X x Y is a member of the least set containing the class of all internal functions and closed with respect to the operations of monotone countable union and intersection. We also prove that any Souslin function can be extended to a Borel function and obtain, as a corollary, a new proof of the recent result of Henson and Ross (...) about the measure preserving property of injective Souslin functions. Further we give a new proof of the fact that injective Borel functions map Borel sets into Borel. A structural result for Souslin graphs all of whose Y-sections are of cardinality n is given. (shrink)

We prove that a Borel subset of the product of two internal setsX andY all of whoseY-sections are ∏ 1 0 (K)(∑ 1 0 (K)) sets is the intersection (union) of a countable sequence of Borel graphs with internalY-sections. As a consequence we prove some standard results about the domains of graphs in the product of two topological spaces all of whose horizontal section are compact (open) sets. A version of classical Vitali-Lusin theorem for those types of graphs is given (...) as well as a new proof (and an extension) of a classical result of Kunugui. (shrink)

The world has been going through the process of economical, political and cultural integration for a long time. At the end of the 20th century, the integration received a new meaning. In the world?s policy, sovereign countries were in conflict or collaborated earlier. A stricter hierarchy of economical and political power hubs is being established now. In such processes of globalization, differences in development, wealth and power arise, people are less safe, the sovereignity of national states is being violated. The (...) story of equality remains in the sense of disappearance of cultural differences in floods of non-cultural culture. It is difficult to talk about democracy when the world?s power is getting stronger and stronger. Is it possible to have a globalization which would not affect human rights, and which would not prevent people from taking care of truth, freedom and happiness? Svet se odavno ekonomski, politicki i kulturno objedinjuje. Krajem 20. veka je objedinjavanje dobilo novo znacenje. U svetskoj politici su se ranije podrazumevali sukobi ili saradnja suverenih drzava. Sada se uspostavlja sve cvrsca hijerarhija medju raznim ekonomskim i politickim sredistima moci. Kod ovakvog globalizovanja se razlike u razvijenosti, bogatstvu i snazi povecavaju, ljudi postaju sve manje bezbedni, a suverenost nacionalnih drzava se osipa. Prica o jednakosti ima smisla samo kao nestajanje kulturnih razlika u poplavi nekulturne kulture. O demokratiji je tesko govoriti uz sve cvrscu dominaciju svetske moci. Da li bi moglo da postoji globalizovanje koje ne bi ugrozavalo ljudska prava, koje ne bi sprecavalo ljude da brinu o istini, slobodi i sreci? PR Projekat Ministarstva nauke Republike Srbije, br. 179006. (shrink)

Analysis of case law from the US, Germany, South Africa, Canada, Israel, and the ECtHR forms the basis of Tripkovic's exploration of constitutional adjudication from an antirealist standpoint. This highly original work identifies the salient value-based arguments in constitutional practice and exposes the implicit assumptions that lie therein.

We give positive answers to two open questions from [15]. (1) For every set C countably determined over A, if C is Π 0 α (Σ 0 α ) then it must be Π 0 α (Σ 0 α ) over A, and (2) every Borel subset of the product of two internal sets X and Y all of whose vertical sections are Π 0 α (Σ 0 α ) can be represented as an intersection (union) of Borel sets with (...) vertical sections of lower Borel rank. We in fact show that (2) is a consequence of the analogous result in the case when X is a measurable space and Y a complete separable metric space (Polish space) which was proved by A. Louveau and that (1) is equivalent to the property shared by the inverse standard part map in Polish spaces of preserving almost all levels of the Borel hierarchy. (shrink)

An exploration of the relationship between quantum theory and concepts of individuality and identity from ancient Greece to the present.

From a more physicalistic point of view the paper gives a brief overview of Boscovich’s thought about the bilayer of space and time, real space and time, and mathematical space and time, without going into philosophical analysis in detail. The paper provides examples of possible correspondence between Boscovich’s thought and physicalist concepts in modern physics.

Gregory Chaitin has done seminal work on the foundations of mathematics, especially the meaning of randomness and undecidability. In Meta Maths, he offers his ideas in a new popular version, which has a special interest because it comes directly from their originator. Long associated with the IBM Watson Research Center, Chaitin comes across as a kind of mathematical Richard Feynman, intuitive and high-spirited, irreverent and plain-spoken. Through this jovial persona, he presents many serious ideas in an engagingly dishevelled way, mixing (...) autobiography and reminiscence with exposition and example. He presents his insights so agreeably that it all seems a grand lark. (shrink)

ABSTRACT Because the modern concept of number emerged within a quadrivium that included music alongside arithmetic, geometry, and astronomy, musical considerations affected mathematical developments. Michael Stifel embedded the then‐paradoxical term “irrational numbers” (numerici irrationales) in a musical context (1544), though his philosophical aversion to the “cloud of infinity” surrounding such numbers finally outweighed his musical arguments in their favor. Girolamo Cardano gave the same status to irrational and rational quantities in his algebra (1545), for which his contemporaneous work on music (...) suggested parallels and empirical examples. Nicola Vicentino's attempt to revive ancient “enharmonic” music (1555) required and hence defended the use of “irrational proportions” (proportiones inrationales) as if they were numbers. These developments emerged in richly interactive social and cultural milieus whose participants interwove musical and mathematical interests so closely that their intense controversies about ancient Greek music had repercussions for mathematics as well. The musical interests of Stifel, Cardano, and Vicentino influenced their respective treatments of “irrational numbers.” Practical as well as theoretical music both invited and opened the way for the recognition of a radically new concept of number, even in the teeth of paradox. (shrink)

ABSTRACT Because the modern concept of number emerged within a quadrivium that included music alongside arithmetic, geometry, and astronomy, musical considerations affected mathematical developments. Michael Stifel embedded the then‐paradoxical term “irrational numbers” (numerici irrationales) in a musical context (1544), though his philosophical aversion to the “cloud of infinity” surrounding such numbers finally outweighed his musical arguments in their favor. Girolamo Cardano gave the same status to irrational and rational quantities in his algebra (1545), for which his contemporaneous work on music (...) suggested parallels and empirical examples. Nicola Vicentino's attempt to revive ancient “enharmonic” music (1555) required and hence defended the use of “irrational proportions” (proportiones inrationales) as if they were numbers. These developments emerged in richly interactive social and cultural milieus whose participants interwove musical and mathematical interests so closely that their intense controversies about ancient Greek music had repercussions for mathematics as well. The musical interests of Stifel, Cardano, and Vicentino influenced their respective treatments of “irrational numbers.” Practical as well as theoretical music both invited and opened the way for the recognition of a radically new concept of number, even in the teeth of paradox. (shrink)

Aiming to provide an accessible introduction to critical changes in the biosphere that have occurred since the origins of life, this text presents an integrated view of our planet's evolution. Fifteen scientists reflect on major events in the history of the Earth.

Leibniz diskutierte den Nutzen der gerichtlichen Folter, obwohl er von ihr abgestoßen war. Er betrachtete Folter als eine Ermittlungsmethode, die den höchsten Grad an Sicherheit erreichen kann und nutzte sie metaphorisch, um analoge Praktiken in der experimentellen Wissenschaft zu beschreiben. Er befiirwortete jedoch nicht den Mißbrauch der Natur, sondern eher eine unübertreffliche Methode, die die Natur dazu bringt, zu 'gestehen', ohne sie dauerhaft zu schädigen.

Greek mathematics did not know the zero. Without denying this commonplace observation, I would like to explore ways in which Plato’s Theaetetus and Sophist may be read as reaching towards the concept of the zero, if not towards anything like its Hindu-Arabic symbol. This may help connect Plato’s reflections on mathematics with his arguments about Nonbeing.

We reexamine Plato’s use of visual metaphors by considering his own treatment of light and sight, which differed from the later view that the eye is purely passive. Instead, he considered the eye to be active, sending out beams that contact the “outer fire” and then return to the seer. This essential activity of the act of seeing changes the way we should read many passages in Plato based on metaphors of vision, in order to bring forward the fundamental activity (...) of the soul in knowing. Understood in this way, Plato’s words eidos and idea may refer not only to self-subsistent, transcendent “forms” but also to the active process of “seeing” that connects us with them. (shrink)