The author analyses ways of employment of computers in mathematics. In particular, the role of computers in the theory of fractals is considered. The author advocates the view that use of computers do not change character of mathematics - which is a deductive, not experimental science.
The issues from the domain of the philosophy of nature such as non-necessity of beings, finality in nature, the beginning of the universe, life, human being; and causality in nature call for the existence of a transcendent reality or the absolute being – God. God is a factor which makes the material reality rational. The problem of the existence of God and His relation to the material world is discussed in the philosophy of God. Therefore the philosophy of God is (...) the fulfilment of the philosophy of nature. On the other hand the philosophy of nature can provide some arguments for the existence of God. In this way the philosophy of nature and the philosophy of God are complementary to each another. (shrink)
The mathematical Platonism is the most popular standpoint amongst mathematicians. The Platonism better than other conceptions explains the fact, that mathematicians discover some properties of the mathematical objects, which are independent of them and exceed the boundary of our intuition and experience. On the other hand Platonism generates some difficulties. In spite of this the Platonism is the idea worth the defence. In the paper I modify the traditional formulation of Platonism, which avoids some of the difficulties.
In this paper we investigate composition models of incarnation, according to which Christ is a compound of qualitatively and numerically different constituents. We focus on three-part models, according to which Christ is composed of a divine mind, a human mind, and a human body. We consider four possible relational structures that the three components could form. We argue that a ‘hierarchy of natures’ model, in which the human mind and body are united to each other in the normal way, and (...) in which they are jointly related to the divine mind by the relation of co-action, is the most metaphysically plausible model. Finally, we consider the problem of how Christ can be a single person even when his components may be considered persons. We argue that an Aristotelian metaphysics, according to which identity is a matter of function, offers a plausible solution: Christ's components may acquire a radically new identity through being parts of the whole, which enables them to be reidentified as parts, not persons. (shrink)
This conversation between two scholars of international law focuses on the contemporary realities of feminist analysis of international law and on current and future spaces of resistance. It notes that feminism has moved from the margin towards the centre, but that this has also come at a cost. As the language of women’s rights and gender equality has travelled into the international policy worlds of crisis management and peace and security, feminist scholars need to become more careful in their analysis (...) and find new ways of resistance. While noting that we live in dangerous times, this is also a hopeful discussion. (shrink)
Conceptual primitives and semantic universals are the cornerstones of a semantic theory which Anna Wierzbicka has been developing for many years. Semantics: Primes and Universals is a major synthesis of her work, presenting a full and systematic exposition of that theory in a non-technical and readable way. It delineates a full set of universal concepts, as they have emerged from large-scale investigations across a wide range of languages undertaken by the author and her colleagues. On the basis of empirical (...) cross-linguistic studies it vindicates the old notion of the "psychic unity of mankind", while at the same time offering a framework for the rigorous description of different languages and cultures. (shrink)
Many political theorists today deny that citizenship can be defended on liberal grounds alone. Cosmopolitans claim that loyalty to a particular state is incompatible with universal liberal principles, which hold that we have equal duties of justice to persons everywhere, while nationalist theorists justify civic obligations only by reaching beyond liberal principles and invoking the importance of national culture. In Liberal Loyalty, Anna Stilz challenges both views by defending a distinctively liberal understanding of citizenship. Drawing on Kant, Rousseau, and (...) Habermas, Stilz argues that we owe civic obligations to the state if it is sufficiently just, and that constitutionally enshrined principles of justice in themselves--rather than territory, common language, or shared culture--are grounds for obedience to our particular state and for democratic solidarity with our fellow citizens. She demonstrates that specifying what freedom and equality mean among a particular people requires their democratic participation together as a group. Justice, therefore, depends on the authority of the democratic state because there is no way equal freedom can be defined or guaranteed without it. Yet, as Stilz shows, this does not mean that each of us should entertain some vague loyalty to democracy in general. Citizens are politically obligated to their own state and to each other, because within their particular democracy they define and ultimately guarantee their own civil rights. Liberal Loyalty is a persuasive defense of citizenship on purely liberal grounds. (shrink)
This important new book by one of the world's leading political theorists boldly questions the moral justification for organizing our world as a territorial states-system and proposes major changes to states' sovereign powers.
The debate over the objects of episodic memory has for some time been stalled, with few alternatives to familiar forms of direct and indirect realism being advanced. This paper moves the debate forward by building on insights from the recent psychological literature on memory as a form of episodic hypothetical thought (or mental time travel) and the recent philosophical literature on relationalist and representationalist approaches to perception. The former suggests that an adequate account of the objects of episodic memory will (...) have to be a special case of an account of the objects of episodic hypothetical thought more generally. The latter suggests that an adequate account of the objects of episodic hypothetical thought will have to combine features of direct realism and representationalism. We develop a novel pragmatist-inspired account of the objects of episodic hypothetical thought that has the requisite features. (shrink)
This book surveys research in quantification starting with the foundational work in the 1970s. It paints a vivid picture of generalized quantifiers and Boolean semantics. It explains how the discovery of diverse scope behavior in the 1990s transformed the view of quantification, and how the study of the internal composition of quantifiers has become central in recent years. It presents different approaches to the same problems, and links modern logic and formal semantics to advances in generative syntax. A unique feature (...) of the book is that it systematically brings cross-linguistic data to bear on the theoretical issues, discussing French, German, Dutch, Hungarian, Russian, Japanese, Telugu (Dravidian), and Shupamem (Grassfield Bantu), and pointing to formal semantic literature involving quantification in around thirty languages. -- -/- 1. What this book is about and how to use it; 2. Generalized quantifiers and their elements: operators and their scopes; 3. Generalized quantifiers in non-nominal domains; 4. Some empirically significant properties of quantifiers and determiners; 5. Potential challenges for generalized quantifiers; 6. Scope is not uniform and not a primitive; 7. Existential scope versus distributive scope; 8. Distributivity and scope; 9. Bare numeral indefinites; 10. Modified numerals; 11. Clause-internal scopal diversity; 12. Towards a compositional semantics of quantifier words. (shrink)
In many languages, the same particles that form quantifier words also serve as connectives, additive and scalar particles, question markers, roots of existential verbs, and so on. Do these have a unified semantics, or do they merely bear a family resemblance? Are they aided by silent operators in their varied roles―if yes, what operators? I dub the particles “quantifier particles” and refer to them generically with capitalized versions of the Japanese morphemes. I argue that both MO and KA can be (...) assigned a stable semantics across their various roles. The specific analysis I offer is motivated by the fact that MO and KA often combine with just one argument; I propose that this is their characteristic behavior. Their role is to impose semantic requirements that are satisfied when the immediately larger context is interpreted as the meet/join of their host’s semantic contribution with something else. They do not perform meet/join themselves. The obligatory vs. optional appearance of the particles depends on whether the meet/join interpretations arise by default in the given constellation. I explicate the proposal using the toolkit of basic Inquisitive Semantics. (shrink)
Standard theories of scope are semantically blind. They employ a single logico-syntactic rule of scope assignment quantifying in Quantifier Raising, storage, or type change etc which roughly speaking prefixes an expression \aplha.
This book defends an account of justice to nonhuman beings – i.e., to animals, plants etc. – also known as ecological or interspecies justice, and which lies in the intersection of environmental political theory and environmental ethics. More specifically, against the background of the current extinction crisis this book defends a global non-ranking biocentric theory of distributive ecological/interspecies justice to wild nonhuman beings, because the extinction crisis does not only need practical solutions, but also an account of how it is (...) the outcome of large-scale injustice. This book not only provides a novel theoretical framework that supports such a claim, but it also develops the theoretical tools to find just compromises between the entitlements of intraspecies and intra-human global distributive justice to ecological space for the purpose of working towards a vision of just conservation. -/- Content: 1. Introducing Ecological Justice 2. Political Non-Ranking Biocentrism 3. The Community of Justice 4. The Currency of Distributive Justice 5. The Principles of Distributive Justice 6. Ecological Justice and the Capabilities Approach 7. Biodiversity Loss: An Injustice? 8. Who Owns the Earth? 9. Visions of Just Conservation 10. Outlook for Implementation . (shrink)
Positive polarity items (PPIs) are generally thought to have the boring property that they cannot scope below negation. The starting point of the paper is the observation that their distribution is significantly more complex; specifically, someone/something-type PPIs share properties with negative polarity items (NPIs). First, these PPIs are disallowed in the same environments that license yet type NPIs; second, adding any NPI-licenser rescues the illegitimate constellation. This leads to the conclusion that these PPIs have the combined properties of yet-type and (...) ever-type NPIs: what appears to be a prohibition is nothing but “halfway licensing”. The paper goes on to propose a unification of the analyses of rescuable PPIs, NPIs, and negative concord, and questions the grounding of polarity sensitivity in the scalar or the referential semantics of the items involved. (shrink)
_Levinas, Subjectivity, Education_ explores how the philosophical writings of Emmanuel Levinas lead us to reassess education and reveals the possibilities of a radical new understanding of ethical and political responsibility. Presents an original theoretical interpretation of Emmanuel Levinas that outlines the political significance of his work for contemporary debates on education Offers a clear analysis of Levinas’s central philosophical concepts, including the place of religion in his work, demonstrating their relevance for educational theorists Examines Alain Badiou’s critique of Levinas’s work (...) Considers the practical implications of Levinas’ theories for concrete educational practices and frameworks. (shrink)
Building on the author's earlier work, this paper argues that language is a key issue in understanding human emotions and that treating English emotion terms as valid analytical tools continues to be a roadblock in the study of emotions. Further, it shows how the methodology developed by the author and colleagues, known as NSM (from Natural Semantic Metalanguage), allows us to break free of the “shackles” (Barrett, 2006) of English psychological terms and explore human emotions from a culture-independent perspective. The (...) use of NSM makes it possible to study human emotions from a genuinely cross-linguistic and cross-cultural, as well as a psychological, perspective and thus “opens up new possibilities for the scientific understanding of subjectivity and psychological experience” (Goddard, 2007). (shrink)
This paper proposes a novel account of the contents of memory. By drawing on insights from the philosophy of perception, I propose a hybrid account of the contents of memory designed to preserve important aspects of representationalist and relationalist views. The hybrid view I propose also contributes to two ongoing debates in philosophy of memory. First, I argue that, in opposition to eternalist views, the hybrid view offers a less metaphysically-charged solution to the co-temporality problem. Second, I show how the (...) hybrid view conceives of the relationship between episodic memory and other forms of episodic thinking. I conclude by considering some disanalogies between perception and memory and by replying to objections. I argue that, despite there being important differences between memory and perception, those differences do not harm my project. (shrink)
Rawlins (2013: 160) observes that both unconditionals and more classical free choice can be meta-characterized using orthogonality, but does not actually unify the two. One reason may be that in English, different expressions serve in these roles. By contrast, in Hungarian, AKÁR expressions serve as NPIs, FCIs, and unconditional adjuncts, but not as interrogatives or free relatives. This paper offers a unified account of the Hungarian data, extending Chierchia 2013 and Dayal 2013. The account produces the same unconditional meanings that (...) Rawlins derives from an interrogative basis. This result highlights the fact that sets of alternatives arise from different morpho-syntactic sources and are utilized by the grammar in different ways, but the results may fully converge. (shrink)
The central topic of this inquiry is a cross-linguistic contrast in the interaction of conjunction and negation. In Hungarian (Russian, Serbian, Italian, Japanese), in contrast to English (German), negated definite conjunctions are naturally and exclusively interpreted as `neither’. It is proposed that Hungarian-type languages conjunctions simply replicate the behavior of plurals, their closest semantic relatives. More puzzling is why English-type languages present a different range of interpretations. By teasing out finer distinctions in focus on connectives, syntactic structure, and context, the (...) paper tracks down missing readings and argues that it is eventually not necessary to postulate a radical cross-linguistic semantic difference. In the course of making that argument it is observed that negated conjunctions on the `neither’ reading carry the expectation that the predicate hold of both conjuncts. The paper investigates several hypotheses concerning the source of this expectation. (shrink)
How many hairs must a person lose before they become bald? There doesn’t seem to be an easy way of answering this. This is because “bald”, along with a large number of other words, is vague. This vagueness causes problems and Anna Mahtani specialises in thinking very precisely about these problems….
Computational explanations focus on information processing required in specific cognitive capacities, such as perception, reasoning or decision-making. These explanations specify the nature of the information processing task, what information needs to be represented, and why it should be operated on in a particular manner. In this article, the focus is on three questions concerning the nature of computational explanations: What type of explanations they are, in what sense computational explanations are explanatory and to what extent they involve a special, “independent” (...) or “autonomous” level of explanation. In this paper, we defend the view computational explanations are genuine explanations, which track non-causal/formal dependencies. Specifically, we argue that they do not provide mere sketches for explanation, in contrast to what for example Piccinini and Craver :283–311, 2011) suggest. This view of computational explanations implies some degree of “autonomy” for the computational level. However, as we will demonstrate that does not make this view “computationally chauvinistic” in a way that Piccinini or Kaplan :339–373, 2011) have charged it to be. (shrink)