Boris Kment takes a new approach to the study of modality that emphasises the origin of modal notions in everyday thought. He argues that the concepts of necessity and possibility originate in counterfactual reasoning, which allows us to investigate explanatory connections. Contrary to accepted views, explanation is more fundamental than modality.

Approximate coherentism suggests that imperfectly rational agents should hold approximately coherent credences. This norm is intended as a generalization of ordinary coherence. I argue that it may be unable to play this role by considering its application under learning experiences. While it is unclear how imperfect agents should revise their beliefs, I suggest a plausible route is through Bayesian updating. However, Bayesian updating can take an incoherent agent from relatively more coherent credences to relatively less coherent credences, depending on the (...) data observed. Thus, comparative rationality judgments among incoherent agents are unduly sensitive to luck. (shrink)

Analysing several characteristic mathematical models: natural and real numbers, Euclidean geometry, group theory, and set theory, I argue that a mathematical model in its final form is a junction of a set of axioms and an internal partial interpretation of the corresponding language. It follows from the analysis that (i) mathematical objects do not exist in the external world: they are our internally imagined objects, some of which, at least approximately, we can realize or represent; (ii) mathematical truths are not (...) truths about the external world but specifications (formulations) of mathematical conceptions; (iii) mathematics is first and foremost our imagined tool by which, with certain assumptions about its applicability, we explore nature and synthesize our rational cognition of it. (shrink)

A longish (12 page) discussion of Richard Sorabji's excellent book, with a further discussion of what it means for a theory of emotions to be a cognitive theory.

On the received view, counterfactuals are analysed using the concept of closeness between possible worlds: the counterfactual 'If it had been the case that p, then it would have been the case that q' is true at a world w just in case q is true at all the possible p-worlds closest to w. The degree of closeness between two worlds is usually thought to be determined by weighting different respects of similarity between them. The question I consider in the (...) paper is which weights attach to different respects of similarity. I start by considering Lewis's answer to the question and argue against it by presenting several counterexamples. I use the same examples to motivate a general principle about closeness: if a fact obtains in both of two worlds, then this similarity is relevant to the closeness between them if and only if the fact has the same explanation in the two worlds. I use this principle and some ideas of Lewis's to formulate a general account of counterfactuals, and I argue that this account can explain the asymmetry of counterfactual dependence. The paper concludes with a discussion of some examples that cannot be accommodated by the present version of the account and therefore necessitate further work on the details. (shrink)

During the last quarter of a century, a number of philosophers have become attracted to the idea that necessity can be analyzed in terms of a hyperintensional notion of essence. One challenge for proponents of this view is to give a plausible explanation of our modal knowledge. The goal of this paper is to develop a strategy for meeting this challenge. My approach rests on an account of modality that I developed in previous work, and which analyzes modal properties in (...) terms of the notion of a metaphysical law. I discuss what information about the metaphysical laws is required for modal knowledge. Moreover, I describe two ways in which we might be able to acquire this information. The first way employs inference to the best explanation. The metaphysical laws, including the essential truths, play a crucial role in causal and grounding explanations and we can gain knowledge of these laws by abductive inferences from facts of which we have perceptual or a priori knowledge. The second way of gaining information about the metaphysical laws rests on knowledge that is partly constitutive of competence with the concepts that are needed to express the relevant information. Finally, I consider how knowledge of the metaphysical laws can be used to establish modal claims, paying special attention to the much-discussed connection between conceiving and possibility. (shrink)

In this article, logical concepts are defined using the internal syntactic and semantic structure of language. For a first-order language, it has been shown that its logical constants are connectives and a certain type of quantifiers for which the universal and existential quantifiers form a functionally complete set of quantifiers. Neither equality nor cardinal quantifiers belong to the logical constants of a first-order language.

The concept of inertial frame of reference is analysed. It has been shown that this fundamental concept of physics is not clear enough. A definition of inertial frame of reference is proposed which expresses its key inherent property. The definition is operational and powerful. Many other properties of inertial frames follow from the definition or it makes them plausible. In particular, the definition shows why physical laws obey space and time symmetries and the principle of relativity, it resolves the problem (...) of clock synchronization and the role of light in it, as well as the problem of the geometry of inertial frames. (shrink)

l. There is an antinomy in Hare's thought between Ought-Implies-Can and No-Indicatives-from-Imperatives. It cannot be resolved by drawing a distinction between implication and entailment. 2. Luther resolved this antinomy in the l6th century, but to understand his solution, we need to understand his problem. He thought the necessity of Divine foreknowledge removed contingency from human acts, thus making it impossible for sinners to do otherwise than sin. 3. Erasmus objected (on behalf of Free Will) that this violates Ought-Implies-Can which he (...) supported with Hare-style ordinary language arguments. 4. Luther a) pointed out the antinomy and b) resolved it by undermining the prescriptivist arguments for Ought-Implies-Can. 5. We can reinforce Luther's argument with an example due to David Lewis. 6. Whatever its merits as a moral principle, Ought-Implies-Can is not a logical truth and should not be included in deontic logics. Most deontic logics, and maybe the discipline itself, should therefore be abandoned. 7. Could it be that Ought-Conversationally-Implies-Can? Yes - in some contexts. But a) even if these contexts are central to the evolution of Ought, the implication is not built into the semantics of the word; b) nor is the parallel implication built into the semantics of orders; and c) in some cases Ought conversationally implies Can, only because Ought-Implies-Can is a background moral belief. d) Points a) and b) suggest a criticism of prescriptivism - that Oughts do not entail imperatives but that the relation is one of conversational implicature. 8. If Ought-Implies-Can is treated as a moral principle, Erasmus' argument for Free Will can be revived (given his Christian assumptions). But it does not 'prove' Pelagianism as Luther supposed. A semi-Pelagian alternative is available. (shrink)

A significant thread in Boris Hessen‟s iconic essay, The Social and Economic Roots of Newton’s Principia (1931), is his critique of Newton‟s involving God in his physics. Contra Newton, Hessen believes that nature does not need God in order to function properly. Hessen gives two, quite distinct, „internal‟ explanations of Newton‟s failure to see this. The first explanation is that Newton‟s failure is caused by his believing that motion is a mode instead of an attribute or essence of matter. (...) The second explanation is that Newton‟s failure is owed to his considering mechanical motion as the sole form of the motion of matter: Newton, in Hessen‟s view, did not realize that matter has many forms of motion which constantly transform into one another while conserving energy. In the present paper, I defend the thesis that none of these explanations can account for Newton‟s failure. Hessen‟s first explanation is problematic because even if Newton believed that motion is an attribute or essence of matter, he would still be obliged to involve God in physics. His second explanation fails too because he does not show exactly how the multiplicity and inter-transformation of forms of motion can account for nature‟s organizational structure. (shrink)

Many philosophers have argued that statistical evidence regarding group char- acteristics (particularly stereotypical ones) can create normative conflicts between the requirements of epistemic rationality and our moral obligations to each other. In a recent paper, Johnson-King and Babic argue that such conflicts can usually be avoided: what ordinary morality requires, they argue, epistemic rationality permits. In this paper, we show that as data gets large, Johnson-King and Babic’s approach becomes less plausible. More constructively, we build on their project and develop (...) a generalized model of reasoning about stereotypes under which one can indeed avoid normative conflicts, even in a big data world, when data contain some noise. In doing so, we also articulate a general approach to rational belief updating for noisy data. (shrink)

A simple interpretation of quantity calculus is given. Quantities are described as two-place functions from objects, states or processes (or some combination of them) into numbers that satisfy the mutual measurability property. Quantity calculus is based on a notational simplification of the concept of quantity. A key element of the simplification is that we consider units to be intentionally unspecified numbers that are measures of exactly specified objects, states or processes. This interpretation of quantity calculus combines all the advantages of (...) calculating with numerical values (since the values of quantities are numbers, we can do with them everything we do with numbers) and all the advantages of calculating with standardly conceived quantities (calculus is invariant to the choice of units and has built-in dimensional analysis). This also shows that the standard metaphysics and mathematics of quantities and their magnitudes is not needed for quantity calculus. At the end of the article, arguments are given that the concept of quantity as defined here is a pivotal concept in understanding the quantitative approach to nature. As an application of this interpretation of quantity calculus, an easy proof of dimensional homogeneity of physical laws is given. (shrink)

This chapter argues that the distinction between ambitious and modest transcendental arguments, developed and deployed by various authors in the wake of Stroud’s influential critique of transcendental reasoning, may be pointless when applied to transcendental arguments from performative inconsistency that have moral statements as their conclusions. If moral truth is assertorically constrained, then any modest moral transcendental argument from performative inconsistency can be converted into an ambitious moral transcendental argument. The chapter provides an account of performative inconsistency and suggests an (...) alternative to the widespread reading of transcendental conditionals in terms of an ‘if-then’-sentences whose antecedents express a proposition to the effect that some x is possible and whose consequents express a statement to the effect that some y is actual. (shrink)

In the article, an argument is given that Euclidean geometry is a priori in the same way that numbers are a priori, the result of modelling, not the world, but our activities in the world.

This article informally presents a solution to the paradoxes of truth and shows how the solution solves classical paradoxes (such as the original Liar) as well as the paradoxes that were invented as counter-arguments for various proposed solutions (``the revenge of the Liar''). Any solution to the paradoxes of truth necessarily establishes a certain logical concept of truth. This solution complements the classical procedure of determining the truth values of sentences by its own failure and, when the procedure fails, through (...) an appropriate semantic shift allows us to express the failure in a classical two-valued language. Formally speaking, the solution is a language with one meaning of symbols and two valuations of the truth values of sentences. The primary valuation is a classical valuation that is partial in the presence of the truth predicate. It enables us to determine the classical truth value of a sentence or leads to the failure of that determination. The language with the primary valuation is precisely the largest intrinsic fixed point of the strong Kleene three-valued semantics (LIFPSK3). The semantic shift that allows us to express the failure of the primary valuation is precisely the classical closure of LIFPSK3: it extends LIFPSK3 to a classical language in parts where LIFPSK3 is undetermined. Thus, this article provides a content-wise argumentation, which has not been present in contemporary debates so far, for the choice of LIFPSK3 and its classical closure as the right model for the logical concept of truth. In the end, an erroneous critique of Kripke-Feferman axiomatic theory of truth, which is present in contemporary literature, is pointed out. (shrink)

The concept of truth has many aims but only one source. The article describes the primary concept of truth, here called the synthetic concept of truth, according to which truth is the objective result of the synthesis of us and nature in the process of rational cognition. It is shown how various aspects of the concept of truth -- logical, scientific, and mathematical aspect -- arise from the synthetic concept of truth. Also, it is shown how the paradoxes of truth (...) arise. (shrink)

This book is a monograph aimed at an analysis of the reasons for fundamental theory change in science. The book was written and published in the last years of the Soviet Union, this fact explains the ‘dialectico-materialistic’ terminology used by the author.

The Russell-Myhill paradox puts pressure on the Russellian structured view of propositions by showing that it conflicts with certain prima facie attractive ontological and logical principles. I describe several versions of RMP and argue that structurists can appeal to natural assumptions about metaphysical grounding to provide independent reasons for rejecting the ontological principles used in these paradoxes. It remains a task for future work to extend this grounding-based approach to all variants of RMP.

In recent years the term ‘recognition’ has been used in ever more variegated theoretical contexts. This article contributes to the discussion of how the concept(s) expressed by this term in different debates should be explicated and understood. For the most part it takes the concept itself as its topic rather than making theoretical use of it. Drawing on important work by Ikäheimo and Laitinen and taking Honneth’s tripartite distinction of recognition into love, respect, and esteem as a starting point it (...) introduces the conceptual distinction between recognitive attitudes, recognitive relations, and recognitive acts, discusses Brandom’s attempt at explaining self-consciousness in terms of reflexive recognition mediated by intersubjective recognitive relations and suggests some critical points on how Butler puts the concept of recognition to work in her conception of ethics. (shrink)

In this chapter, we assess the current state-of-the-art of the Hungarian sharing economy sector relying on statistics, previous surveys, and expert interviews around case examples. Although we record a fast emergence of an increasing number and a widening variety of multinational and home-grown initiatives, we also contend that in Hungary, the innovation ecosystem of the collaborative economy is still relatively feeble. The linkages that are created through these initiatives are controversial sociologically. The main end-users are highly educated young urbanites. In (...) contrast, on the service provider front, the non-formal workforce is quite vulnerable as the current regulations hardly provide any protection to platform workers. The motivations of the key players in the sector are varied, as only a few locally based initiatives are transformative. In contrast, most examples are solely linked to finding new business opportunities in a shrinking economy. (shrink)

The thesis deals with the concept of truth and the paradoxes of truth. Philosophical theories usually consider the concept of truth from a wider perspective. They are concerned with questions such as - Is there any connection between the truth and the world? And, if there is - What is the nature of the connection? Contrary to these theories, this analysis is of a logical nature. It deals with the internal semantic structure of language, the mutual semantic connection of sentences, (...) above all the connection of sentences that speak about the truth of other sentences and sentences whose truth they speak about. Truth paradoxes show that there is a problem in our basic understanding of the language meaning and they are a test for any proposed solution. It is important to make a distinction between the normative and analytical aspect of the solution. The former tries to ensure that paradoxes will not emerge. The latter tries to explain paradoxes. Of course, the practical aspect of the solution is also important. It tries to ensure a good framework for logical foundations of knowledge, for related problems in Artificial Intelligence and for the analysis of the natural language. Tarski’s analysis emphasized the T-scheme as the basic intuitive principle for the concept of truth, but it also showed its inconsistency with the classical logic. Tarski’s solution is to preserve the classical logic and to restrict the scheme: we can talk about the truth of sentences of a language only inside another essentially richer metalanguage. This solution is in harmony with the idea of reflexivity of thinking and it has become very fertile for mathematics and science in general. But it has normative nature | truth paradoxes are avoided in a way that in such frame we cannot even express paradoxical sentences. It is also too restrictive because, for the same reason we cannot express a situation in which there is a circular reference of some sentences to other sentences, no matter how common and harmless such a situation may be. Kripke showed that there is no natural restriction to the T-scheme and we have to accept it. But then we must also accept the riskiness of sentences | the possibility that under some circumstances a sentence does not have the classical truth value but it is undetermined. This leads to languages with three-valued semantics. Kripke did not give any definite model, but he gave a theoretical frame for investigations of various models | each fixed point in each three-valued semantics can be a model for the concept of truth. The solutions also have normative nature | we can express the paradoxical sentences, but we escape a contradiction by declaring them undetermined. Such a solution could become an analytical solution only if we provide the analysis that would show in a substantial way that it is the solution that models the concept of truth. Kripke took some steps in the direction of finding an analytical solution. He preferred the strong Kleene three-valued semantics for which he wrote it was "appropriate" but did not explain why it was appropriate. One reason for such a choice is probably that Kripke finds paradoxical sentences meaningful. This eliminates the weak Kleene three valued semantics which corresponds to the idea that paradoxical sentences are meaningless, and thus indeterminate. Another reason could be that the strong Kleene three valued semantics has the so-called investigative interpretation. According to this interpretation, this semantics corresponds to the classical determination of truth, whereby all sentences that do not have an already determined value are temporarily considered indeterminate. When we determine the truth value of these sentences, then we can also determine the truth value of the sentences that are composed of them. Kripke supplemented this investigative interpretation with an intuition about learning the concept of truth. That intuition deals with how we can teach someone who is a competent user of an initial language (without the predicate of truth T) to use sentences that contain the predicate T. That person knows which sentences of the initial language are true and which are not. We give her the rule to assign the T attribute to the former and deny that attribute to the latter. In that way, some new sentences that contain the predicate of truth, and which were indeterminate until then, become determinate. So the person gets a new set of true and false sentences with which he continues the procedure. This intuition leads directly to the smallest fixed point of strong Kleene semantics as an analytically acceptable model for the logical notion of truth. However, since this process is usually saturated only on some transfinite ordinal, this intuition, by climbing on ordinals, increasingly becomes a metaphor. This thesis is an attempt to give an analytical solution to truth paradoxes. It gives an analysis of why and how some sentences lack the classical truth value. The starting point is basic intuition according to which paradoxical sentences are meaningful (because we understand what they are talking about well, moreover we use it for determining their truth values), but they witness the failure of the classical procedure of determining their truth value in some "extreme" circumstances. Paradoxes emerge because the classical procedure of the truth value determination does not always give a classically supposed (and expected) answer. The analysis shows that such an assumption is an unjustified generalization from common situations to all situations. We can accept the classical procedure of the truth value determination and consequently the internal semantic structure of the language, but we must reject the universality of the exterior assumption of a successful ending of the procedure. The consciousness of this transforms paradoxes to normal situations inherent to the classical procedure. Some sentences, although meaningful, when we evaluate them according to the classical truth conditions, the classical conditions do not assign them a unique value. We can assign to them the third value, \undetermined", as a sign of definitive failure of the classical procedure. An analysis of the propagation of the failure in the structure of sentences gives exactly the strong Kleene three-valued semantics, not as an investigative procedure, as it occurs in Kripke, but as the classical truth determination procedure accompanied by the propagation of its own failure. An analysis of the circularities in the determination of the classical truth value gives the criterion of when the classical procedure succeeds and when it fails, when the sentences will have the classical truth value and when they will not. It turns out that the truth values of sentences thus obtained give exactly the largest intrinsic fixed point of the strong Kleene three-valued semantics. In that way, the argumentation is given for that choice among all fixed points of all monotone three-valued semantics for the model of the logical concept of truth. An immediate mathematical description of the fixed point is given, too. It has also been shown how this language can be semantically completed to the classical language which in many respects appears a natural completion of the process of thinking about the truth values of the sentences of a given language. Thus the final model is a language that has one interpretation and two systems of sentence truth evaluation, primary and final evaluation. The language through the symbol T speaks of its primary truth valuation, which is precisely the largest intrinsic fixed point of the strong Kleene three valued semantics. Its final truth valuation is the semantic completion of the first in such a way that all sentences that are not true in the primary valuation are false in the final valuation. (shrink)

The sample space of the chance distribution at a given time is a class of possible worlds. Thanks to this connection between chance and modality, one’s views about modal space can have significant consequences in the theory of chance and can be evaluated in part by how plausible these implications are. I apply this methodology to evaluate certain forms of modal contingentism, the thesis that some facts about what is possible are contingent. Any modal contingentist view that meets certain conditions (...) that I specify generates difficulties in the philosophy of chance, including a problem usually associated with Humeanism that is known as ‘the problem of undermining futures’. I consider two well-known versions of modal contingentism that face this difficulty. The first version, proposed by Hugh Chandler and Nathan Salmon, rests on an argument for the claim that many individuals have their modal features contingently. The second version is motivated by the thesis that the existence of a possible world depends on the existence of the contingent individuals inhabiting it, and that many worlds are therefore contingent existents. (shrink)

Non è un caso che l’enhancement umano, cioè il potenziamento di capacità fisiche, cognitive ed emotive degli esseri umani con l’ausilio di tecnologie, sia diventato un tema centrale nei dibattiti etico-applicativi e nei tentativi contemporanei di arrivare a una comprensione più adeguata della natura umana. In esso si incontrano quesiti decisamente ricchi e complessi, sia dal punto di vista tecnoscientifico e medico sia da quello filosofico – e lo fanno in un modo che ci permette di vedere questi quesiti sotto (...) una nuova luce. Il numero raccoglie alcune voci italiane, tedesche, inglesi e statunitensi su diversi aspetti della problematica dell’enhancement umano. Tra le tematiche discusse troviamo il potenziamento genetico, le dimensioni etiche dell’enhancement, la relazione uomo-tecnologia, il cosiddetto enhancement morale, la relazione tra enhancement ed eugenetica, la distinzione tra potenziamento e terapia e la rilevanza delle neuroscienze per lo sviluppo futuro delle bio-tecnologie, della medicina e dell’etica. (shrink)

This paper examines two contemporary answers to the question of whether moral values and norms are apt for rational criticism and justification: Richard Rorty’s radically contextualist approach—which is centered around the notion of contingency and is characterized by a dismissal of all claims to philosophical justification—and Karl-Otto Apel’s transcendental-pragmatic version of discourse ethics—which encompasses highly ambitious claims to justification and universal validity. Contrasting the key theses of Rorty’s contextualism with those of Apel’s universalist discourse ethics and reconstructing their respective conceptions (...) of moral progress we argue that neither Rorty’s nor Apel’s position is convincing. (shrink)

According to a standard interpretation of the term, ‘gender’ denotes sets of social roles and expectations conventionally associated with the sexual physiology of human beings. Originally introduced in psychology, the term is now widely used in the social sciences and humanities, as well as in the biological sciences. In this article we introduce and discuss the central themes of contemporary philosophical debates on gender. Particular attention is paid to recent feminist arguments concerning the distinction between sex and gender, and to (...) how feminist debates today intersect with neuroscience research on sex-related differences between human brains. (shrink)

The distinction between teleology and teleonomy that biologists sometimes refer to seems to be helpful in certain contexts, but it is used in several different ways and has rarely been clearly drawn. This paper discusses three prominent uses of the term “teleonomy” and traces its history back to what seems to be its first use. This use is examined in detail and then justified and refined on the basis of elements found in the philosophy of Aristotle, Kant, Anscombe and others. (...) In the course of this explication, it will also be shown how the description of end-directed processes relates to their explanation. (shrink)

In this article I develop an elementary system of axioms for Euclidean geometry. On one hand, the system is based on the symmetry principles which express our a priori ignorant approach to space: all places are the same to us, all directions are the same to us and all units of length we use to create geometric figures are the same to us. On the other hand, through the process of algebraic simplification, this system of axioms directly provides the Weyl’s (...) system of axioms for Euclidean geometry. The system of axioms, together with its a priori interpretation, offers new views to philosophy and pedagogy of mathematics: it supports the thesis that Euclidean geometry is a priori, it supports the thesis that in modern mathematics the Weyl’s system of axioms is dominant to the Euclid’s system because it reflects the a priori underlying symmetries, it gives a new and promising approach to learn geometry which, through the Weyl’s system of axioms, leads from the essential geometric symmetry principles of the mathematical nature directly to modern mathematics. (shrink)

Descartes claims that God is a substance, and that mind and body are two different and separable substances. This paper provides some background that renders these claims intelligible. For Descartes, that something is real means it can exist in separation, and something is a substance if it does not depend on other substances for its existence. Further, separable objects are correlates of distinct ideas, for an idea is distinct (in an objective sense) if its object may be easily and clearly (...) separated from everything that is not its object. It follows that if our idea of God is our most distinct idea, as Descartes claims, then God must be a substance in the Cartesian sense of the term. Also, if we can have an idea of a thinking subject which does not in any sense refer to bodily things, and if bodily things are substances, then mind and body must be two different substances. (shrink)

Die vorliegende Arbeit geht zunächst der Frage der Möglichkeit einer spezifischen, methodisch von den Naturwissenschaften unterschiedenen „Phänomenologie der Natur“ nach. Das Paradigma einer solchen Phänomenologie der Natur ist Goethes Farbenlehre, deren Methode über die Farberscheinungen hinaus Anwendungsmöglichkeiten auf neue Gegenstände eröffnet. Im Zusammenhang damit werden in der vorliegenden Arbeit die Ergebnisse eines philosophischen Versuchs vorgestellt, das Paradigma der Farbenlehre auf die Erscheinung Kraft zu übertragen. Die Anwendung des Paradigmas der Farbenlehre auf den Kraftbegriff ist möglich; das Ergebnis stellt bis in (...) die verwendete Terminologie hinein einen ähnlich deutlichen Kontrapunkt zur Physik dar wie die Inhalte der goetheschen Farbenlehre. Dadurch wird eine Lesart der Farbenlehre gestützt, nach welcher deren Anliegen methodisch und inhaltlich deutlich vom Anliegen der modernen Physik unterschieden werden muss; die Farbenlehre erschließt sich somit viel deutlicher durch Herausarbeiten und Rekonstruieren der Differenzen zwischen Phänomenologie und Physik als durch Postulieren vermeintlicher Schnittmengen. Als Ausblick ergibt sich ein über das philosophische Experiment hinausgehender und noch zu begründender Geltungsanspruch einer in der Tradition der Farbenlehre arbeitenden Naturphänomenologie, indem sie die allgemeinen Bedingungen eines erfahrbaren und vermittelbaren Wissenskorpus von Natur aufzeigen und damit einen grundlegenden Beitrag zur Erkenntniskritik liefern könnte; diese Reflexion ist jedoch zunächst noch ein Desideratum. (shrink)

According to Cantor (Mathematische Annalen 21:545–586, 1883 ; Cantor’s letter to Dedekind, 1899 ) a set is any multitude which can be thought of as one (“jedes Viele, welches sich als Eines denken läßt”) without contradiction—a consistent multitude. Other multitudes are inconsistent or paradoxical. Set theoretical paradoxes have common root—lack of understanding why some multitudes are not sets. Why some multitudes of objects of thought cannot themselves be objects of thought? Moreover, it is a logical truth that such multitudes do (...) exist. However we do not understand this logical truth so well as we understand, for example, the logical truth $${\forall x \, x = x}$$ . In this paper we formulate a logical truth which we call the productivity principle. Rusell (Proc Lond Math Soc 4(2):29–53, 1906 ) was the first one to formulate this principle, but in a restricted form and with a different purpose. The principle explicates a logical mechanism that lies behind paradoxical multitudes, and is understandable as well as any simple logical truth. However, it does not explain the concept of set. It only sets logical bounds of the concept within the framework of the classical two valued $${\in}$$ -language. The principle behaves as a logical regulator of any theory we formulate to explain and describe sets. It provides tools to identify paradoxical classes inside the theory. We show how the known paradoxical classes follow from the productivity principle and how the principle gives us a uniform way to generate new paradoxical classes. In the case of ZFC set theory the productivity principle shows that the limitation of size principles are of a restrictive nature and that they do not explain which classes are sets. The productivity principle, as a logical regulator, can have a definite heuristic role in the development of a consistent set theory. We sketch such a theory—the cumulative cardinal theory of sets. The theory is based on the idea of cardinality of collecting objects into sets. Its development is guided by means of the productivity principle in such a way that its consistency seems plausible. Moreover, the theory inherits good properties from cardinal conception and from cumulative conception of sets. Because of the cardinality principle it can easily justify the replacement axiom, and because of the cumulative property it can easily justify the power set axiom and the union axiom. It would be possible to prove that the cumulative cardinal theory of sets is equivalent to the Morse–Kelley set theory. In this way we provide a natural and plausibly consistent axiomatization for the Morse–Kelley set theory. (shrink)

The sciences may be able to describe living beings, but this is not to account for their life. Life is not a describable property of things. There is also no philosophical a priori argument by which one could prove the existence of life – except perhaps our own. In order to understand what life is, we must start with our conception of that life that we know, human life, and reduce the notion of this life to a notion of mere (...) life. We may do this by introducing the following distinctions. Intentional movements may succeed, be interrupted, or be mistaken. In contrast, merely teleological movements can only succeed or be interrupted, but not mistaken. Further, intentional movements are executed as more or less suitable means for achieving an end. Merely teleological movements are not performed as means to ends in this sense, but that does not render them less goal-directed. (shrink)

On the basis of elementary thinking about language functioning, a solution of truth paradoxes is given and a corresponding semantics of a truth predicate is founded. It is shown that it is precisely the two-valued description of the maximal intrinsic fixed point of the strong Kleene three-valued semantics.

The desire for the inner feeling of existence was central to Heidegger’s later philosophy. During the 1930s in works like the Contributions to Philosophy, he began to search for the direct experience, rather than the mere knowledge, of existential power. I characterize such feelings as post-Lutheran. Luther taught his followers to feel the presence of an existentially creative God within themselves. Such feelings, as evidence of one’s salvation, became endemic. After the Enlightenment and despite the rise of secularism, the desire (...) for the inner feeling of existence remained within portions of German culture. Heidegger rejected the idea of God as the foundation of existence, which he called an ontotheology, but he retained the desire to experience the coming-to-be of existence as an inner activity. In the Contributions, Heidegger repeatedly describes Being or “Seyn” as the “trembling” or “oscillation” between existence and nothingness. He tells us that nothingness always remains central to Being, which is what distinguishes Being from mere beings. The latter belong only to what has come-to-be; what Heidegger wanted to experience, not intellectually but as an inner feeling, was the power of coming-to-be. In short, Heidegger sought the inner experience of coming into being from nothingness. (shrink)

У статті розглянуто концепцію «білого куба», специфічного галерейного та музейного простору для демонстрації і споглядання мистецтва. Проаналізовано, як тривалі експерименти з формою демонстрації робіт у музейних приміщеннях були зумовлені потребою створити особливий простір, де кожний експонат був би максимально ізольованим і самодостатнім. Так виник «білий куб», який фактично був легітимізований Альфредом Барром, першим директором музею сучасного мистецтва в Нью-Йорку. Починаючи з Брайана О’Догерті, дослідники вказують, що галерейний простір, яке нібито є максимально нейтральним, насправді є глибоко ідеологізованим. Уваго було приділено і (...) рефлексії художників щодо функції, діяльності та організації простору галереї. (shrink)

Popyt na zawody i kompetencje na podlaskim rynku pracy a potrzeby pracodawców w zakresie kształcenia ustawicznego pracowników w wieku 45 lat i więcej Katarzyna Baczyńska-Koc, Magdalena Borys, Andrzej Klimczuk, Iwona Pietrzak, Bogusław Plawgo, Katarzyna Radziewicz, Ewa Rollnik-Sadowska, Cecylia Sadowska-Snarska & Justyna Żynel-Etel .

A reality may be defined incompletely as a perpetuating pattern of relations. This definition denies the name of reality to an utter and totalistic patternlessness, like a primal patternless stuff, because a patternless all-ness would be indistinguishable from a patternless nothingness. If reality began from a chaos or patternless stuff, it became a reality only when it became patterned. If there are orders of reality with perpetuating relations between them, as in Cartesian interactive substance dualism, the definition allows us to (...) say that these orders belong to a common reality by virtue of those relations. However, the definition is silent on the question of whether reality is ultimately pluralistic. Some suggestions are made about the possibility of stuffless patterns, including those of the physical world, but the definition is not dependent on the possibility of stufflessness. (shrink)

Розкрито сутність поняття «рейтинг». Доведено значущість рейтингової оцінки для суб’єктів фінансового ринку, зокрема для страхових компаній, потенційних страхувальників, інвесторів та кредиторів.

The thesis of this article is that there has never been any ground for the controversy between the doctrine of free will and determinism, that it is based upon a misapprehension, that the two assertions are entirely consistent, that one of them strictly implies the other, that they have been opposed only because of our natural want of the analytical imagination. In so saying I do not tamper with the meaning of either phrase. That would be unpardonable. I mean free (...) will in the natural and usual sense, in the fullest, the most absolute sense in which for the purposes of the personal and moral life the term is ever employed. I mean it as implying responsibility, merit and demerit, guilt and desert. I mean it as implying, after an act has been performed, that one " could have done otherwise " than one did. I mean it as conveying these things also, not in any subtly modified sense but in exactly the sense in which we conceive them in life and in law and in ethics. These two doctrines have been opposed because we have not realised that free will can be analysed without being destroyed, and that determinism is merely a feature of the analysis of it. And if we are tempted to take refuge in the thought of an "ultimate ", an "innermost" liberty that eludes the analysis, then we have implied a deterministic basis and constitution for this liberty as well. For such a basis and constitution lie in the idea of liberty. -/- The thesis is not, like that of Green or Bradley, that the contending opinions are reconciled if we adopt a certain metaphysic of the ego, as that it is timeless, and identifies itself with a desire by a " timeless act". This is to say that the two are irreconcilable, as they are popularly supposed to be, except by a theory that delivers us from the conflict by taking us out of time. Our view on the contrary is that from the natural and temporal point of view itself there never was any need of a reconciliation but only of a comprehension of the meaning of terms. (The metaphysical nature of the self and its identity through time is a problem for all who confront memory, anticipation, etc.; it has no peculiar difficulties arising from the present problem.) -/- I am not maintaining that determinism is true; only that it is true insofar as we have free will. That we are free in willing is, broadly speaking, a fact of experience. That broad fact is more assured than any philosophical analysis. It is therefore surer than the deterministic analysis of it, entirely adequate as that in the end appears to be. But it is not here affirmed that there are no small exceptions, no slight undetermined swervings, no ingredient of absolute chance. All that is here said is that such absence of determination, if and so far as it exists, is no gain to freedom, but sheer loss of it; no advantage to the moral life, but blank subtraction from it. -- When I speak below of "the indeterminist" I mean the libertarian indeterminist, that is, him who believes in free will and holds that it involves indetermination. (shrink)

У статті підсумовано основні результати багаторічного дослідження «веймарської класики» і раннього німецького романтизму, розкрито суть «модерністичного проекту», спрямованого на інтелектуально-культурне оновлення всього європейського суспільства. Розглянуто три світоглядні «кризи модерну». Перша – на зламі XVIII–ХІХ ст. Романтики тоді розділили мистецтво естетично і соціологічно на масове і високе, а історично – на сучасний і «класичний» мейнстріми. Простежено подальшу долю «проекту» в умовах другої кризи доби Модерн на зламі ХІХ–ХХ ст. (тут естафету романтиків підхопив Ф. Ніцше) і уже в наш час – останньої (...) і остаточної третьої кризи Модерну. (shrink)

This article presents some considerations concerning the relevance of empirical research from neuroscience and social psychology for philosophical debates in normative ethics. While many authors hold that there are findings and theories from those fields that are relevant to normative ethics, it often remains unclear precisely how this relevance relation is to be construed and spelled out. The article critically discusses various proposals which have recently been made in this regard by philosophers, psychologists, and neuroscientists.

That about sums up what is wrong with Clark's view.