While it is a point of agreement in contemporary republican political theory that property ownership is closely connected to freedom as non-domination, surprisingly little work has been done to elucidate the nature of this connection or the constraints on property regimes that might be required as a result. In this paper, I provide a systematic model of the boundaries within which republican property systems must sit and explore some of the wider implications that thinking of property in these terms may (...) have for republicans. The boundaries I focus on relate to the distribution of property and the application of types of property claims over particular kinds of goods. I develop this model from those elements of non-domination most directly related to the operation of a property regime: (a) economic independence, (b) limiting material inequalities, and (c) the promotion of common goods. The limits that emerge from this analysis support intuitive judgments that animate much republican discussion of property distribution. My account diverges from much orthodox republican theory, though, in challenging the primacy of private property rights in the realization of economic independence. The value of property on republican terms can be realized without private ownership of the means of production. (shrink)

The history and use of the acronym ‘BCS’ (named after Bardeen, Cooper and Schrieffer) in the science of superconductivity is traced and analysed. It is shown that a number of different theories are labelled ‘BCS’. The confusion in the application of the term ‘BCS’ is shown to be common because the term ‘theory’ itself is not precisely defined in physics. Recommendations are given to physics readers and students on how to distinguish between various theories referred to as ‘BCS’. Contributions from (...) scientists in different laboratories to the creation and formation of the superconductivity theory are indicated. (shrink)

Kant and Fichte developed the concept of a worldview as a way of reflecting on experience as a whole. But what does it mean to form a worldview? And what role did it play in the German Idealist tradition? This paper seeks to answer these questions through a detailed analysis of the form of a philosophical worldview and its historical portent, both of which remain unexplored in the literature. The dearth of attention is partially to blame on Kant’s desultory development (...) of it, as well as its place in Fichte’s understudied lectures on religion. In this paper, I first reconstruct Kant’s conception as the starting point and then trace it to Fichte who went on to evolve it further. Fichte endorses the basic conceptual shape pioneered by Kant, namely, a reflective process of positing an idea and then checking the coherence of necessary judgments relative to it. However, Fichte came to realize that its philosophical function needed expanding. Beyond recognizing the possibility for alternative worldviews, Fichte further fleshed out how worldview creation could lead to human flourishing. The common feature between both thinkers is that the formation of a worldview aims to turn philosophy into a life-orienting exercise. (shrink)

In chapter 3 of Wittgenstein on Rules and Private Language, Kripke’s Wittgenstein offers a “sceptical solution" to the sceptical paradox about meaning developed in chapter 2 (according to which there are no facts in virtue of which ascriptions of meaning such as “Jones means addition by ‘+’” can be true). Although many commentators have taken the sceptical solution to be broadly analogous to non-factualist theories in other domains, such as non-cognitivism or expressivism in metaethics, the nature of the sceptical (...) solution has not been well-understood. The main aim of this paper is to advance our understanding of the nature of the non-factualism about meaning proposed in the sceptical solution. It attempts to outline some desiderata that should be respected by interpretations of the sceptical solution and considers two objections raised against it in Barry Stroud’s paper “Wittgenstein on Meaning, Understanding and Community". It attempts to correct misconstruals of the sceptical solution that have been promulgated by Davidson and some of his followers and suggests that the sceptical solution developed by Kripke’s Wittgenstein is best viewed as a form of quasi-realism about meaning. It ends by outlining what it takes to be the most pressing challenges facing the sceptical solution. (shrink)

I develop an expressivist account of verbal disagreements as practical disagreements over how to use words rather than factual disagreements over what words actually mean. This account enjoys several advantages over others in the literature: it can be implemented in a neo-Stalnakerian possible worlds framework; it accounts for cases where speakers are undecided on how exactly to interpret an expression; it avoids appeals to fraught notions like subject matter, charitable interpretation, and joint-carving; and it naturally extends to an analysis of (...) metalinguistic negotiations. (shrink)

Near the end of 'Naming the Colours', Lewis (1997) makes an interesting claim about the relationship between linguistic and mental content; we are typically unable to read the content of a belief off the content of a sentence used to express that belief or vice versa. I call this view autonomism. I motivate and defend autonomism and discuss its importance in the philosophy of mind and language. In a nutshell, I argue that the different theoretical roles that mental and linguistic (...) content play suggest these kinds of content should be understood as sensitive to different things. (shrink)

There are many different ways to talk about the world. Some ways of talking are more expressive than others—that is, they enable us to say more things about the world. But what exactly does this mean? When is one language able to express more about the world than another? In my dissertation, I systematically investigate different ways of answering this question and develop a formal theory of expressive power, translation, and notational variance. In doing so, I show how these investigations (...) help to clarify the role that expressive power plays within debates in metaphysics, logic, and the philosophy of language. (shrink)

What is the highest good actually good for in Kant’s third Critique? While there are well-worked out answers to this question in the literature that focus on the highest good’s practical importance, this paper argues that there is an important function for the highest good that has to do exclusively with contemplation. This important function becomes clear once one notices that coherent [konsequent] thinking, for Kant, was synonymous with "bündiges" thinking, and that both are connected with the highest good in (...) the third Critique’s moral proof for God’s existence. I show that the original meaning of "bündig," which is from the carpentry trade and has been forgotten, illuminates the stakes of the highest good in Kant’s system. For us, as proverbial carpenters of reason, coherence is essential for the intellectual activity of constructing a philosophical worldview in his transcendental idealism. I motivate the reading further by showing how this function can neatly reconstruct Kant’s proof for God’s existence in the third Critique. I conclude by sketching Kant’s reasons for why the project of creating a coherent worldview grounded in the highest good is worth the labor costs. (shrink)

Introduction -- What is personal responsibility? -- Ordinary language -- Common conceptions -- What do philosophers mean by responsibility? -- Personally responsible for what? -- What do philosophers think? part I -- Causes -- Capacity -- Control -- Choice versus brute luck -- Second-order attitudes -- Equality of opportunity -- Deservingness -- Reasonableness -- Reciprocity -- Equal shares -- Combining criteria -- What do philosophers think? part II -- Utility -- Self-respect -- Autonomy -- Human flourishing -- Natural duties and (...) special obligations -- A matter of perspectives -- Combining values -- What do politicians think? -- A brief typology -- International comparisons -- Welfare reform -- Healthcare reform -- Rights and responsibilities -- On the responsibilities of politicians -- What do ordinary people think? -- Why ask? -- Attitudes to welfare claimants -- When push comes to shove -- Perceptions and reality -- Further international comparisons -- The trouble with opinion surveys -- Four contemporary issues in focus -- Unemployment -- Health -- Drug abuse -- Personal debt and financial rewards -- So how do we decide? -- Getting the public involved -- Citizens juries -- Answering some potential criticisms. (shrink)

This paper outlines the methodological and empirical limitations of analysing the potential relationship between complex social phenomena such as democracy and inequality. It shows that the means to assess how they may be related is much more limited than recognised in the existing literature that is laden with contradictory hypotheses and findings. Better understanding our scientific limitations in studying this potential relationship is important for research and policy because many leading economists and other social scientists such as Acemoglu and (...) Robinson mistakenly claim to identify causal linkages between inequality and democracy but at times still inform policy. In contrast to the existing literature, the paper argues that ‘structural’ or ‘causal’ mechanisms that may potentially link the distribution of economic wealth and different political regimes will remain unknown given reasons such as their highly complex and idiosyncratic characteristics, fundamental econometric constraints and analysis at the macro-level. Neither new data sources, different analysed time periods nor new data analysis techniques can resolve this question and provide robust, general conclusions about this potential relationship across countries. Researchers are thus restricted to exploring rough correlations over specific time periods and geographic contexts with imperfect data that are very limited for cross-country comparisons. (shrink)

The model of special relativity is built in the article. Within the framework of the model, formulas of special relativity are obtained and their philosophical and physical meaning is revealed.

Individualist subjectivism is a position in metaethics which states that moral claims are descriptions of attitudes, e.g. 'murder is wrong' means 'I disapprove of murder'. In this short article I present a novel argument against it by appealing to the conversion between first-person and third-person claims. I argue that individualist subjectivism, and more broadly, any propositions which refer to the self without a word like 'I' or me', fail to account for the fact that person with the name X (...) saying 'I' could be rephrased as anybody saying 'X', a process I call 'personalisation'. (shrink)

Modern neurotechnologies are rapidly infringing on conventional notions of human dignity and they are challenging what it means to be human. This article is a survey analysis of the future of the digital age, reflecting primarily on the effects of neurotechnology that violate universal human rights to dignity, self-determination, and privacy. In particular, this article focuses on neuromarketing to critically assess potentially negative social ramifications of under-regulated neurotechnological application. Possible solutions are critically evaluated, including the human rights claim to (...) the ‘right to mental privacy’ and the suggestion of a new human right based on spiritual jurisdiction, where the human psyche is a legal space in a substantive legal setting. (shrink)

Isaiah Berlin famously attacked a view he called historical inevitability. He believed that a causal view of history entails the adoption of an extreme deterministic position – a kind of determinism which would rule out the possibility of free will, turning moral responsibility a notion void of meaning. His thesis was also based on the assumption that historians are not just chroniclers of the past but need to engage in moral judgments; therefore should determinism hold true of our world, our (...) moral language – and consequently much of our historical language – would need to undergo serious revision. In this brief article we look in some detail at the arguments offered by Berlin in support of his thesis and offer criticism. (shrink)

Arguments have always played a central role within logic and philosophy. But little attention has been paid to arguments as a distinctive kind of discourse, with its own semantics and pragmatics. The goal of this essay is to study the mechanisms by means of which we make arguments in discourse, starting from the semantics of argument connectives such as `therefore'. While some proposals have been made in the literature, they fail to account for the distinctive anaphoric behavior of `therefore', (...) as well as uses of argument connectives in complex arguments, suppositional arguments, arguments with non-declarative conclusions, as well as arguments with parenthetical remarks. A comprehensive account of arguments requires imposing a distinctive tree-like structure on contexts. We show how to extend our account to accommodate modal subordination and and di fferent flavors of `therefore'. (shrink)

Special and General theories of relativity may be considered as the most significant examples of integrative thinking. From these works we see that Albert Einstein attached great importance to how we understand geometry and dimensions. It is shown that physics powered by the new multidimensional elastic geometry is a reliable basis for science integration. Instead of searching for braneworlds (elastic membranes - EM) in higher dimensions we will start by searching them in our 3+1 dimensional world. The cornerstone of the (...) new philosophy is an idea that lower dimensional EMs are an essential component of the living matter, they are responsible for our perceptions, intellect, pattern recognition and high speed signal propagation. According to this theory each EM has both physical and perceptive (psychological) meanings: it exists as our Universe-like physical reality for its inner objects and at the same time it plays perceptive (psychological) role in the external bulk space-time. This philosophy may help us to build up a science which explains not only inanimate, unconscious phenomena, but consciousness as well. (shrink)

The A-theory of time is plagued by certain standard armchair problems: the presentism–eternalism dilemma, the problem of truth-makers, the alleged impossibility of cross-temporal relations, and the problem of temporary intrinsics. These challenges supposedly force A-theories to make incredible claims. I argue that these challenges are not deep antinomies in common sense, but rest on avoidable mistakes. Then I present a new A-theory that shows what’s possible once we move past the old problems. On this proposal, time’s passing is a metaphysically (...) fundamental aspect of reality. I take this to mean that there are fundamental facts like: four hours passed from 8am today until noon. This A-theory also posits fundamental facts about the state of the universe at a time, and about cross-temporal relationships. The proposed metaphysical package attractively articulates our common sense, pre-relativistic conception of time. (shrink)

This essay narrates what I have learned from Søren Kierkegaard & John Dewey about teaching philosophy. It consists of three sections: 1) a Deweyan pragmatist’s translation of Kierkegaard’s religious insights on Christianity, as a way of life, into ethical insights on philosophy, as a way of life; 2) a brief description of the introductory course that I teach most frequently: Ethics, Happiness, & The Good Life; and 3) an exploration of three spiritual exercises from the course: a) self-cultivation by (...) class='Hi'>means of writing in an Ethics Notebook, b) an “existential experiment” in which we practice one of Aristotle’s virtues for a week, and c) a 15-hour service-learning component. (shrink)

This dissertation examines the theory of perceptual cognition laid out by the 7th century Buddhist scholar, Dharmakīrti, in his magnum opus, the Pramāṇavārttika. Like most theories of perception, both ancient and modern, the sensory cognition of ordinary objects is a topic of primary concern. Unlike other theorists, however, Dharmakīrti advances a technical definition of “perception” as a cognition which is both nonconceptual and non-erroneous. Dharmakīrti’s definition of perception is thereby deliberately inclusive of three additional types of “perceptual” cognition, in addition (...) to veridical sensory awareness: the nonconceptual mental apprehension of an immediately-preceding cognition (“mental perception”), the vivid appearance of soteriologically efficacious objects of contemplative practice (“yogic perception”), and the sheer unmediated presence of the contents of cognition—whatever these might be—to the cognizing mind (“reflexive awareness”). Through the logical examination of what it means to be aware of an object, Dharmakīrti demonstrates that the awareness of an object is just the awareness of a phenomenal form or cognitive image produced by that object. Pursuing this analysis further, however, Dharmakīrti argues that the very notion of an object of cognition that exists “externally” or outside the mind is incoherent. Additionally, Dharmakīrti maintains that the phenomenological structure of subject and object—that is, the “first-personal” sense of one’s own cognitions as pertaining to oneself (“for-me-ness”), together with the inseparably concomitant sense that the objects of cognition exist “out there” in an extramental world—is strictly a form of cognitive error. Therefore, because ordinary sensory cognition is inherently structured by this subject-object duality, ordinary sensory cognition must in the final analysis be understood as erroneous. According to Dharmakīrti, in other words, ultimately only the nondual “luminosity” of reflexive awareness is genuinely perceptual, because only reflexive awareness is undistorted by nature. In this way, Dharmakīrti’s epistemology provides a theoretical foundation for the advanced nondual contemplative practices of Indian and Tibetan Buddhism, particularly Mahāmudrā and rDzogs chen. (shrink)

Harry G. Frankfurt’s work on agency and reflexivity represents one of the most important attempts in the current philosophical literature to elaborate the structure of agency. Frankfurt wishes to provide an account of what I call the “deep structures” of agency—those features of agency, such as care and love, in virtue of which the surface features, such as desire, are to be explained and understood. These deep structures are important because of their power to explain unified diachronic patterns in our (...) lives rather than just individual actions. In doing so, Frankfurt seeks to be a Humean in Aristotelian clothing: he desires the richness of a broadly Aristotelian moral psychology–specifically, an Augustinian variant of this—built out of the resources of a Humean human nature in which the “passions,” or here, those objects we care about, are fundamental. -/- Thus Frankfurt develops concepts such as second-order desire, identification and dissociation, wholeheartedness, and love without incurring significant metaphysical costs. Through these concepts Frankfurt provides an account with extraordinary richness. However, I argue that Frankfurt’s minimalism conflicts with his attempts to provide so rich an account of our moral lives. In particular, his attempt to make caring foundational for practical reason undermines his conception of identification and dissociation. Frankfurt’s Humeanism commits him to a tragic moral universe in which the dissociation of desire is little more than an exercise in self-deception rather than a means of guaranteeing psychic unity. -/- I then argue that a superior account of moral life and the moral self can be constructed through greater reliance upon Augustinian ideas concerning the nature of love that is rooted in two concepts: affinity and peace. The concept of affinity provides a basis for evaluating what is worth loving and the concept of peace, central to Augustine’s moral psychology, is used to analyze the structure of love itself in its many manifestations. This account is less minimalist than Frankfurt’s but is more faithful to our moral experience and provides a more powerful and nuanced analysis of moral life and the self. (shrink)

This paper advocates for the introduction of poetic inquiry in Nigerian universities as a powerful approach to decolonizing research and reclaiming indigenous ways of knowing. It highlights the need to challenge outdated colonial concepts of higher education that have suppressed poetry and other indigenous forms of exploration and understanding. It argues that the incorporation of poetic inquiry in Nigerian universities can create inclusive and transformative spaces that foster social justice, cultural affirmation, and knowledge decolonization. The paper draws on literature on (...) decolonial and critical pedagogy to argues that poetic inquiry enables researchers to engage with alternative modes of expression and challenge dominant Western-centric paradigms. It underscores the social and political implications of embracing poetry as a means of reimagining narratives and reshaping power dynamics within academia and society at large. By validating and honouring indigenous knowledge systems, poetic inquiry promotes self-determination and cultural revitalization while bridging the gap between academia and the wider community. The paper offers recommendations on how Poetic Inquiry may be integrated into the curriculum of Nigerian universities. (shrink)

Academics do not only teach but they also research. Research cannot be up-taken unless there is a means of dissemination. One of the ways of research report dissemination is the conference. The academic conference is an opportunity for scholars to assemble and engage in conversations that aim at improving the practice of teaching and learning. It provides a forum for the sharing of ideas and experiences that enhance education and, by extension, human life. One of the challenges that academics (...) face is rarely what to present at conferences, but how to present for impact. This paper justifies conference attendance and proposes strategies for the reengineering of conference presentations for national development. (shrink)

We present a vignette study conducted with a quota sample of the German population (n = 400). Subjects had to redistribute a good between two hypothetical persons who contributed equally to the available amount but differed in quantity needed and the reason for their neediness. On a within-subjects level, we tested for the effects of need, accountability, and resource availability on their third-party distribution decisions. Between subjects, we further varied the kinds of needs: The persons either needed the good as (...) a means to survive, to live a decent life, to participate in society, or to be autonomous. Despite equal productivity, the mean share allocated to the needier person was significantly higher than an equal share. However, this share turned out significantly smaller when the needier person was accountable for needing more than the other. Nonetheless, even if accountable, the needier person still got a share larger than their contribution would suggest. When there was a surplus of resources, the needier person got an even higher share than when resources were scarce. (shrink)

In § 35 of Sein und Zeit Heidegger’s denunciation of Gerede, idle talk, is confident and scathing. It sounds so sinister and threatening. What could Heidegger be talking about? One could cite numerous fictional characters (e.g., Pecksniff, Mrs. Gamp, Skimpole, Podsnap – all in Dickens), characters whose speech is very nearly an idiolect of bad faith. And yet there is something so fascinating and creative in their speech, an exuberance in their dissimulation, that one wouldn’t want to miss them. Could (...) idle talk in Heidegger’s sense contribute to the theoretization of Bakhtin's idea of the dialogic and heteroglossia and to the notion of discours as it has been developed by Benveniste, Barthes, and Genette? In prose fiction language is valorized (often implicitly) in terms of meaning/nonsense, serious/non-serious, full/empty. When in fiction language that is deemed low, formulaic, or “empty”-- gossip, chatter, prattle, idiotismes – comes to the fore the narrative elements falters, “nothing much” is said. But a kind of speech as act and process is foregrounded. It is this kind of inadvertence in language, its “idling” state, that Gerede points to. (shrink)

This examination makes the case that the tradition of Christian Platonism can constitute a valuable resource for addressing the long-running and increasingly-acute environmental crisis that threatens the global ecosystem and all who inhabit it. More than a scientific, technological or political challenge, the crisis requires a fundamental shift in the way humans understand nature and their place within it. Key to implementing this shift is the need to address the problematic anthropocentric conceptualisation of nature characteristic of the contemporary social imaginary (...) that determines a wide range of present day economic, religious and scientific perspectives. The case made here is that Christian Platonism, and in particular its participatory ontology, can offer a radically non-anthropocentric alternative to the present-day understanding of nature, reconceptualising the way we understand the meaning, value, and way we know nature. (shrink)

The American television show Rick and Morty, an animated science fiction sitcom, critiques speciesism in the context of bleak existentialist philosophy. Though the show focuses primarily on human characters, it also depicts various forms of artificial sentience, such as robots or clones, undergoing existential crises. It explicitly effaces any distinction between human sentience and artificial sentience, forcefully treating all sentient life with an equivalent respect (or disrespect). The show also problematizes human speciesism in relationship to terrestrial and extra-terrestrial life.

This article examines the relationship between the conspicuous and complicated terms of transcendence and immanence, which may equally be defined as essentially connected, or diametrically opposed. Recent developments in two largely unrelated sets of scholarship— the re-evaluation of secularisation, and the relationship between medieval and modern philosophy—provide a helpful means to arrive at a clearer understanding of this challenging problem. Charles Taylor and Jan Aertesn act as foci for these developments, particularly through their respective concerns with epistemic framing in (...) relation to transcendence and immanence, and the role of transcendentals in medieval philosophy. This examination brings these two concepts together, examining the idea of transcendentals offered by both Aquinas, a thinker of the transcendent frame, and Kant, a thinker of the immanent frame. From this juxtaposition we can offer two contrasting understandings of the relationship between transcendence and immanence from within both the transcendent and immanent frames. Finally, two brief literary examples demonstrate how these two ways of reading transcendence and immanence may be employed in the contextual understanding of religious writing. To understand the unity and division between transcendence and immanence is to better comprehend two primary terms in the study of religion, and to appreciate a fundamental development in the history of religion in the West. (shrink)

Development economist Hernando de Soto Polar has effectively advocated for property rights in the Third World, as his ideas have influenced the policies of the World Bank, International Monetary Fund and United Nations Development Programme. He envisions land titling as a means of lifting the poor out of poverty. I argue that his classical liberal interpretations of property and the good life are dangerously naive. One can see the dangers of de Soto’s imperialist and one-dimensional vision after considering the (...) cultural destruction that results from his brand of development in pastoral Kenya. Also, this article demands a reframing of standardized development approaches. It argues that the conventional view is prone to creating unstable, culturally hegemonic relationships between the government and entrepreneurs, and the people of the land. Asymmetrical lawfare is another nondemocratic feature of de Soto’s development. This article emphasizes that Kenyan pastoralists are not inherently vulnerable people but that they have been rendered vulnerable by society. Lastly, the United Nations Declaration on the Rights of Indigenous Peoples (UNDRIP) is the basis for an alternative to de Soto’s development design. UNDRIP was a hard-fought legal protection for the world’s indigenous peoples that makes human dignity central to development. The Global North and Global South produce differing visions of development. This article points to Kenya as an example of how the Global North’s vision has fundamentally failed because it disenfranchises pastoralists—the very people policymakers and policy supporters claim it is intended to benefit. (shrink)

A type of argument occasionally made in metaethics, epistemology and philosophy of science notes that most ordinary uses of some expression fail to satisfy the strictest interpretation of the expression, and concludes that the ordinary assertions are false. This requires there to be a presumption in favour of a strict interpretation of expressions that admit of interpretations at different levels of strictness. We argue that this presumption is unmotivated, and thus the arguments fail.

As formal theoretical linguistic methodology has matured, recent years have seen the advent of applying it to objects of study that transcend language, e.g., to the syntax and semantics of music (Lerdahl & Jackendoff 1983, Schlenker 2017a; see also Rebuschat et al. 2011). One of the aims of such extensions is to shed new light on how meaning is construed in a range of communicative systems. In this paper, we approach this goal by looking at narrative dance in the form (...) of Bharatanatyam. We argue that a semantic approach to dance can be modeled closely after the formal semantics of visual narrative proposed by Abusch (2013, 2014, 2021). A central conclusion is that dance not only shares properties of other fundamentally human means of expression, such as visual narrative and music, but that it also exhibits similarities to sign languages and the gestures of non-signers (see, e.g., Schlenker 2020) in that it uses space to track individuals in a narrative and performatively portray the actions of those individuals. From the perspective of general human cognition, these conclusions corroborate the idea that linguistic investigations beyond language (see Patel-Grosz et al. forthcoming) can yield insights into the very nature of the human mind and of the communicative devices that it avails. (shrink)

Translators’ Abstract: This is a translation of Hans-Georg Gadamer’s recently discovered 1952 Berlin speech. The speech includes several themes that reappear in Truth and Method, as well as in Gadamer’s later writings such as Reason in the Age of Science. For example, Gadamer criticizes positivism, modern philosophy’s orientation toward positivism, and Enlightenment narratives of progress, while presenting his view of philosophy’s tasks in an age of crisis. In addition, he discusses structural power, instrumental reason, the objectification of nature and human (...) beings, the reduction of both to mere means, and the colonization of scientific-technological ways of knowing and being—all of which continue to impact our social and political lives together and threaten the very existence of every living being. This speech is essential reading for Gadamer scholars interested in the social, political, and ethical dimensions of his thought and for those interested in bringing Gadamer into conversation with critical theory. (shrink)

To study the influence of divinity on cosmos, Alexander uses the notions of ‘fate’ and ‘providence,’ which were common in the philosophy of his time. In this way, he provides an Aristotelian interpretation of the problems related to such concepts. In the context of this discussion, he offers a description of ‘nature’ different from the one that he usually regards as the standard Aristotelian notion of nature, i.e. the intrinsic principle of motion and rest. The new coined concept is (...) a ‘cosmic’ nature that can be identified with both ‘fate’ and ‘divine power,’ which are the immediate effect of providence upon the world. In the paper it is exposed how the conception of providence defended by Alexander means a rejection of the divine care of the particulars, since the divinities are only provident for species. Several texts belonging to the Middle Platonic philosophers will convince us that such thinkers (and not directly Aristotle) are the origin of the thesis that will be understood as the conventional Aristotelian position, namely that divinity only orders species but not individuals. (shrink)

This paper argues for the central role of Martin Heidegger’s thought in Alexander Dugin’s political philosophy or political theory. Part one is a broad overview of the place of Heidegger in Dugin’s political theory. Part two outlines how Dugin uses Heidegger to elaborate a specifically Russian political theory. Part three shows how apparently unphilosophical political concepts from Dugin’s political theory have a Heideggerian meaning for him. Because of what he regards as a homology between the philosophical and the political, (...) his readers must always be aware of the philosophical significance of his political concepts and vice versa. Tracing Heidegger’s central role helps clarify Dugin’s political thought. (shrink)

The cognizability of the world according to Alexander von Humboldt: the experience of landscape. According to Alexander von Humboldt, geography ought to aim to go beyond the modern attitude of seeing knowledge as being the result of a spatial and temporal abstraction from the real world. Von Humboldt wishes to create a new theory of knowledge, one that instead of just simplifying, schematizing, and categorizing reality is able to highlight its multiple meanings, its diversity of perspectives, and its (...) hermeneutical keys. Von Humboldt’s project strives to achieve a universal cognition of the world (or a universal geography) by claiming the centrality of the experience of landscape. This is evidence for von Humboldt’s far-sightedness, since he anticipated the present day trend of considering landscape as a corner stone of interdisciplinary enquiries into the meaning of the world. (shrink)

This article discusses the relationship (or lack thereof) between authors’ intentions and the meaning of literary works. It considers the advantages and disadvantages of Extreme and Modest Actual Intentionalism, Conventionalism, and two versions of Hypothetical Intentionalism, and discusses the role that one’s theoretical commitments about the robustness of linguistic conventions and the publicity of literary works should play in determining which view one accepts.

Aristotle says that ὑπαρχειν has as many senses as ‘to be true’ (PrA. , A, 36, 48b2-9) and as many ways as there are different categories. (PrA., A, 37, 49a6-9) This may mean that for every ‘is’ there is a ὑπαρχειν. Τhe reason is that Aristotle uses ὑπαρχειν in converse direction of ‘is’. The equal statement of ‘A is B’ with ὑπαρχειν is ‘B ὑπαρχει to A.’ Allen Bāck points to the difference between the use of the verb with dative (...) case and its use with a subject alone in Greek language. When it is used with the dative, it retains its basic meaning, that is, ‘be already present’ or ‘exist really.’ ‘So to say that P belongs to S is to say that P exists in S, or, if you like, that P has its being in S.’ He believes that Aristotle uses this construction to insist that primary substances alone are the fundamental being and all other things only are ‘in’ substances. Thus, when the verb is used with the dative, it expresses dependent substance relation. But when it is used with a subject alone, e.g. in ‘S ὑπάρχει,’ it expresses that the subject really exists. (OI., 17a24 and 17b2) Thus, while it is the subject which is said to be the predicate, it is the predicate which ὑπάρχει to the subject. The formula of ‘τὸ Α ὑπάρχει τῷ Β’ is equivalent to ‘τὸ Β ἐστι Α.’ He uses the word for the predication of a category on substance (e.g. Met., α, 993b24-25; Met., Z, 1029a15-16; Cat., 5, 3b24-25), the predication of secondary substance on primary substance (e.g. Met., Z, 1038b21-23; Cat., 5, 2a14-19), the predication of primary substance on nothing else but itself (e.g. Met., Z, 1040b23-24), the belonging of a verb to the subject, the belonging of axioms to a single science (Met., 1005a22-23) , the belonging of PNC to all things that are (Met., IV, 3) , in the sense of really existing (Cael. 297b22, Met., 1041b4. Cf. B503, 125-126) or merely in the sense of the predication of a predicate on a subject (e.g. OI., I, 5, 17a22-24) and especially and much more repeatedly than anywhere else in his discussion of syllogism. (e.g. PrA., A, 36, 48a40-b2; PrA., B, 22, 67b28-30; PrA., A, 24a26-28) It is also used in some related senses like mere belonging (e.g. Met., A, 989a10-14; K, 1060a9-10) or to be there. (So., B, 5, 417b23-26) Some of its derived forms are also used by Aristotle. For example, ἐνυπαρχον in the sense of the thing that is ‘in’ something; (e.g. Met., A, 991a13-16; Met., Z, 1038b29-33 and 1039a3-5) ὑπερέχον in the sense of that which contains and ὑπερεχόμενον in the sense of that which is contained in something else. (e.g. Met., Δ, 1020b26-28) In a sense, the extent of the application of ὑπαρχειν is wider than ‘is’ since it is not restricted to the nominative form in which ‘is’ is used but is applicable to other cases as well: ‘For ‘That does not belong to this’ does not always mean that ‘This is not that’ but sometimes that ‘this is not of that’ or ‘for that.’ (PsA., A, 36, 48b28-33) Allen Bāck (B503, 124) points that in the Prior Analytics Aristotle uses ‘ὑπάρχει τῷ’ and ‘κατηγορεῖσθαι κατά’ interchangeably. (e.g. at 25b37-26a4) Referring to its converse construction in respect of μετέχει (if A belongs to B, then B participates in A) as a probable reason that it may have Platonist foundations. But the question is: why does Aristotle uses this construction (B belongs to A) instead of simply saying A is B? Alexander of Aphrodisias (Apr 54.21-29) wonders why Aristotle had to adhere to such artificial language, entirely unnatural for ordinary speakers of Greek. As Jonathan Barnes points out, all the three formulas of ‘τὸ Α ὑπάρχει τῷ Β,’ ‘τὸ Α κατηγορεῖται κατὰ τοῦ Β’ and ‘τὸ Α λέγεται κατὰ τοῦ Β’ are artificial in the sense that no Greek who wanted to say that pleasure was good would normally have expressed himself by way of any of them.’ Bāck thinks Aristotle may have used it ‘to stress the primacy of primary substances as the ultimate subjects.’ He also mentions the probability that it may be to emphasize that the terms are being coupled in predication without any existence condition, a suggestion he is not himself inclined with. Robin Smith notes for Aristotle that ‘belonging to’ construction is wider than ‘predicated of’ construction because it can be used for cases that cannot easily be treated as categorical sentences. While predication is restricted to cases in which the subject term is in the nominative case, belonging can indicate, as he quotes Mignucci (480-481), ‘any possible grammatical construction for a predicative relation’ . (shrink)

The relationship of the author’s intention to the meaning of a literary work has been a persistently controversial topic in aesthetics. Anti-intentionalists Wimsatt and Beardsley, in the 1946 paper that launched the debate, accused critics who fueled their interpretative activity by poring over the author’s private diaries and life story of committing the ‘fallacy’ of equating the work’s meaning, properly determined by context and linguistic convention, with the meaning intended by the author. Hirsch responded that context and convention are not (...) sufficient to determine a unique meaning for a text; to avoid radical ambiguity we must appeal to the author’s intention, which actualizes one of the candidate meanings. Subsequent writers have defended refined versions of these views, and a variety of positions on the spectrum between them, in a debate that remains central to philosophical aesthetics. This Teaching and Learning Guide lists key readings and suggests how they might be incorporated within a syllabus. It also offers focus questions related to the readings. See also the companion article, Sherri Irvin, “Authors, Intentions and Literary Meaning.” Philosophy Compass 1 (2006), 114-128. (shrink)

…A reconstructed imaginal account of Alexander’s (the Great) historical letter to Aristotle pursuant to his (in-) famous meeting with the gymnosophist Dandimus on the paradoxes of Zeno ( presaging those of Nagarjuna ) as a means of presenting a synthesis of the stasis and dynamism implicit in the potential of a phenomenally real world beyond a rigid designation of a chain-of-being taxonomy where animal dignity resides side by side with predator-prey relations and a mind-laden ( theory ) of (...) evolution. (shrink)

[Does the gymnosophist’s reply to Alexander’s question on the origin of time indeed reflect an Indian doctrine?] The episode of Alexander’s interview with the gymnosophists has come down to us in several versions, among which the one in Plutarch’s Vita Alexandri is the most renowned. In this connection, the question arises whether the solutions given by the naked philosophers to the puzzles propounded by Alexander can be shown to reflect genuine Indian doctrines. Challenging Dumézil’s reply in the (...) affirmative, the author contends that they cannot. While most questions and answers are scarcely relevant to the investigation, as being of little (if any) philosophical import, the analysis concentrates on the more significant ones, and especially on the solution offered to the question as to which of the two — day or night — came first. According to Dumézil, the gymnosophist’s answer reported by Plutarch, i. e. that the day came first, by one day, reflects the vedic doctrine of the primeval cosmogonic role of Dawn and Light. Against this may be argued in the first place that such doctrine does not enjoy any prominent status in the Vedas themselves — quite to the contrary, it stands up disadvantegeously to many all-important texts, such as the Nāsadīyasūkta, which assign the primeval status to Darkness — and cannot therefore be regarded as being specifically Indian any more than its opposite. Secondly, it is shown that the Greek tradition is at great variance on this very point, to the extent that all logically conceivable solutions (i. e., precedence of day by one day / day by one night / night by one day / night by one night) are represented in some version or other. This inconsistency appears to stem from the fact that no particular doctrine (Indian or whatever) was envisaged; according to the present author, we have reason to believe that the gymnosophist’s reply was rather meant to set off by means of a paradox the sheer impossibility of a solution (all four alternatives being equivalent to that effect). This interpretation is reinforced by the gymnosophist’s own remark confessing the aporetical nature of his reply, and finally by a further recourse to paradox — this time a variant of the well-known “paradox of the liar” — which the author lays bare in the otherwise inexplicable dénouement of the anecdote. (shrink)

The year 2009 has been a year of numerous commemorations of both scientific and non-scientific achievements that contributed to the advancement of human kind. Protestants celebrated the 500th anniversary of the birth of Calvin; literary critics celebrated the 200th anniversary of the poet Edgar Allan Poe; and the musical genius Felix Mendelssohn-Bartholdy was also born 200 years ago. 2009 further marked the bicentennial of the birth of Louis Braille, the inventor of Braille; and Abraham Lincoln, the 16th president of the (...) United States, who founded the National Academy of Sciences. Pierre Curie, famous for his work on radioactivity that he conducted together with his wife Marie Curie, was born 150 ago; as was John Dewey, a philosopher and psychologist who is recognized as one of the founding fathers of both pragmatism as well as functional psychology. UNESCO and the International Astronomical Union dubbed 2009 the International Year of Astronomy. By doing so, astronomers celebrated the 400th anniversary of Galileo Galilei’s telescopic observations as well as the publication of Johannes Kepler’s Astronomia nova wherein he formulated the first two laws of planetary motion. 2009 also marked the last of a 3-year-long celebration of Planet Earth, another UNESCO-governed initiative. However, for evolutionary biologists and philosophers of science, 2009 will be largely remembered for its worldwide commemorations of the 200th anniversary of the birth of Charles Darwin, and the 150th anniversary of the publication of his magnum opus On the origin of species by means of natural selection. Footnote1 In order to pay tribute to Darwin’s major contribution to the advancement of evolutionary science, the International Union of Biological Sciences and the International Union of History and Philosophy of Science have called the year 2009 the Darwin Year. Given that so many scientific discoveries were commemorated, COPUS, the Coalition on the Public Understanding on Science, called out 2009 as the Year of Science, in the hope to pay equal tribute to both the field of biology as well as astronomy. 2009 was indeed a year of biology. Somewhat overshadowed by the big Darwin celebrations, smaller-scaled events were held to commemorate the 200th anniversary of the publication of Lamarck’s Philosophie Zoologique; and the 150th anniversary of the death of Alexander von Humboldt, the father of biogeography. In 1910, Constantin Mereschkowsky wrote his article on symbiogenesis entitled ‘The Theory of Two Plasmas as the Basis of Symbiogenesis, a New Study for the Origins of Organisms’. The article was published in the German Biologisches Zentralblatt, the journal that would later evolve into the current Theory in Biosciences. Somewhat forgotten, but equally important for the field of symbiogenesis, was the 200th anniversary of the birth of Pierre-Joseph Van Beneden, a Belgian paleontologist and zoologist famous for distinguishing parasitism from commensalism. Finally, Henry Bergson, known for inventing the currently rejected notion of élan vital, was born 150 years ago. In order to memorialize the important role these biologists played in the advancement of our understanding of the evolutionary process, a 2-day international conference was organized entitled: Evolution today and tomorrow, Darwin evaluated by contemporary evolutionary and philosophical theories. The conference was organized by The Centre for Philosophy of Science of the University of Lisbon (Portugal), in collaboration with the Centre for Environmental Biology of the same university, and the Lisbon Centre for Applied Psychology. The articles presented here are a spin-off of this conference. The current volumes contain the peer-reviewed articles of a selection of the plenary and invited speakers, as well as those of scholars who were additionally invited to contribute to the volumes. (shrink)

Punishment involves the intentional infliction of harm and suffering. Both of the most prominent families of justifications of punishment – retributivism and consequentialism – face several moral concerns that are hard to overcome. Moreover, the effectiveness of current criminal punishment methods in ensuring society’s safety is seriously undermined by empirical research. Thus, it appears to be a moral imperative for a modern and humane society to seek alternative means of administering justice. The special issue of Diametros “The Abolition of (...) Punishment: Is a Non-Punitive Criminal Justice System Ethically Justified?” was brought into life precisely to give the authors a platform for such progressive inquiries. And it is now safe to say that this platform has been put to excellent use, since Valerij Zisman, Alexander Stachurski, Giorgia Brucato, Perica Jovchevski, Sofia M. I. Jeppsson, Stephen G. Morris, Benjamin Vilhauer, John Lemos, Saul Smilansky, Elizabeth Shaw, Mirko Farina, Andrea Lavazza and Sergei Levin have presented such thought-provoking texts that they are bound to set the stage for debate in the years to come. This article is an introduction to this special issue and to the authors’ papers. (shrink)

The paper distinguishes three strategies by means of which empirical discoveries about the nature of morality can be used to undermine moral judgements. On the first strategy, moral judgements are shown to be unjustified in virtue of being shown to rest on ignorance or false belief. On the second strategy, moral judgements are shown to be false by being shown to entail claims inconsistent with the relevant empirical discoveries. On the third strategy, moral judgements are shown to be false (...) in virtue of being shown to be unjustified; truth having been defined epistemologically in terms of justification. By interpreting three recent error theoretical arguments in light of these strategies, the paper evaluates the epistemological and metaphysical relevance of empirical discoveries about morality as a naturally evolved phenomenon. (shrink)

Identifying the necessary and sufficient conditions for individuating and classifying diseases is a matter of great importance in the fields of law, ethics, epidemiology, and of course, medicine. In this paper, I first propose a means of achieving this goal, ensuring that no two distinct disease-types could correctly be ascribed to the same disease-token. I then posit a metaphysical ontology of diseases—that is, I give an account of what a disease is. This is essential to providing the most effective (...) means of interfering with disease processes. Following existing work in the philosophy of medicine and epidemiology (primarily Christopher Boorse; Caroline Whitbeck; Alexander Broadbent), philosophy of biology (Joseph LaPorte; D.L. Hull), conditional analyses of causation (J.L. Mackie; David Lewis), and recent literature on dispositional essentialism (Stephen Mumford and Rani Anjum; Alexander Bird), I endorse a dispositional conception of disease. Following discussion of various conceptions of disease-identity, their relations to the clinical and pathological effects of the diseases in question, and how diseases are treated, I conclude (i) that diseases should be individuated by their causes, and (ii) that diseases are causal processes best seen as simultaneously acting sequences of mutually manifesting dispositions. (shrink)

In these pages, we expose the main traits of St. Albert the Great’s doctrine of providence and fate, considered by Palazzo the keystone of his philosophical system. To describe it we examine his systematic works, primarily his Summa of Theology. His discussion follows clearly the guidelines of the Summa of Alexander of Hales, in order to delve into the set of problems faced over the centuries by theological tradition. Albert also restates the reflections of different authors like Boethius or (...) Saint John of Damascus but, in his Summa he incorporates to his reflections also the noteworthy book of Nemesius of Emesa, De natura hominis, which includes some pages on providence. Albert gives his personal solution to the complex questions of providence, destiny and contingency of the world. His conception of providence is developed in the frame of the creative power of the almighty God. God’s knowledge is necessary and inerrant and his providential purposes are infallible, but that does not mean that every event is necessary. He does not communicate His own proprieties to the creatures. In order to understand this problem, Albert recalls the notion of hypothetical necessity coined by Boethius in an Aristotelian framework and the difference between 'necessitas consequentis' and 'necessitas consequentiae' proposed by Alexander of Hales. He also develops his account of providence, closely linked to the topic of fate. However, it would be exaggerated to deem his position deterministic. (shrink)

Recent work has argued that there may be cases where no attitude – including withholding – is rationally permissible. In this paper, I consider two such epistemic dilemmas, John Turri’s Dilemma from Testimony and David Alexander’s Dilemma from Doubt. Turri presents a case where one’s only evidence rules out withholding (without warranting belief or disbelief). Alexander presents a case where higher order doubt means one must withhold judgment over whether withholding judgment is rational. In both cases, the (...) authors conclude that no doxastic attitude is warranted. In this paper, I argue against the possibility of these epistemic dilemmas. I argue that withholding cannot be irrational in either case. But meditating on the dilemmas gives us an important – and overlooked – insight into the nature of rational withholding. First, rational withholding is a function of evidence failing to sufficiently support belief or disbelief. As a result, withholding is not symmetrical to belief and disbelief. Second, there can be two distinct grounds for rational withholding. First, propositional withholding, which arises when our evidence does not support belief or disbelief in p. And second, doxastic withholding, which arises when we cannot determine whether our evidence supports belief or disbelief in p. Accepting two grounds of rational withholding licenses a kind of Weak Permissivism. But this Weak Permissivism should not be troubling to anyone. (shrink)

Öz: Frege özel adların (ve diğer dilsel simgelerin) anlamları ve gönderimleri arasında ünlü ayrımını yaptığı “Anlam ve Gönderim Üzerine” (1948) adlı makalesinde, bu ayrımın önemi, gerekliliği ve sonuçları üzerine uzun değerlendirmeler yapar ancak özel adın anlamından tam olarak ne anlaşılması gerektiğinden yalnızca bir dipnotta kısaca söz eder. Örneğin “Aristoteles” özel adının anlamının Platon’un öğrencisi ve Büyük İskender’in öğretmeni ya da Stagira’da doğan Büyük İskender’in öğretmeni olarak alınabileceğini söyler. Burada dikkat çeken nokta örnekteki özel adın olası anlamları olarak gösterilen belirli betimlemelerin (...) de özel ad içeriyor olması. Anlamın Frege için bileşimsel olduğu, bir başka deyişle bir dilsel simgenin anlamının (varsa) parçalarının anlamlarınca belirlendiği düşünülürse, örnekteki belirli betimlemelerin anlamlarının saptanabilmesi için içerdikleri özel adların da anlamları saptanıp betimleme içinde geçtikleri yere konmalıdır. Bu işlem hiçbir özel ad kalmayana kadar sürdürülmelidir. Ancak biraz düşünülünce bir özel adın nesnesini tekil olarak betimleyecek ve içinde özel ad geçmeyecek bir betimleme bulmanın kolay olmadığı görülür. Örneğin yukarıdaki betimlemelerde geçen “Platon”, “Büyük İskender” ve “Stagira” gibi özel adların anlamları olabilecek ancak özel ad içermeyen betimlemeler bulmak pek kolay görünmüyor. Ortaya bir sonsuz gerileme sorunu çıkmış gibi duruyor. Frege’nin anlam-gönderim ayrımını için ciddi sonuçları olabilecek bu sorunu Frege çözebilir mi? Bu yazıda bu sorunun yanıtını arayacağım. Sorunu betimledikten sonra Frege’nin önündeki seçenekleri (örneğin bağlama duyarlı terimlerden (gösterme adılları veya belirteçler) yararlanma veya bağlamı sınırlama gibi) değerlendireceğim. -/- Abstract: In his “Sense and Reference” (1948), Frege makes his famous distinction between the sense and the reference of a proper name (and other signs) and discusses at length the significance, necessity and consequences of the distinction, but he explains how the sense of a proper name should be understood very briefly in a footnote. According to him, for example, the sense of the proper name “Aristotle” can be taken as the pupil of Plato and teacher of Alexander the Great or the teacher of Alexander the Great who was born in Stagira. What is interesting here is that the definite descriptions given as the possible senses of this proper name do themselves contain proper names too. Since the sense is something compositional for Frege, which means the sense of a linguistic sign is determined by its constituents (if there are any), in order to determine the sense of definite descriptions in question, we should first determine the senses of proper names they contain and substitute these senses with the proper names themselves. This process should continue until no proper name remains. However, it does not seem easy to find a definite description which describes the object of a proper name uniquely but contains no proper name itself. For instance, could we find appropriate senses that contain no proper name for “Plato”, “Alexander the Great” and “Stagira”? It does not seem likely. A problem of infinite regress appears to arise. Can Frege solve this problem, which poses a serious threat for his sensereference distinction? I will explore this problem in this paper. After explaining the problem, I will discuss the options (e.g. turning to indexicals or context restriction) Frege can take to deal with it. (shrink)

While trying to preserve the autonomy of their playful activity consisting in a game of ‘questioning and answering’, the Gymnosophists defy Alexander the Great and, more importantly, go against their own chances of survival (since giving a wrong answer to the king’s question amounts to losing their life). Thankfully, we do not need to face such dilemmas when philosophising with children. Nevertheless, the Gymnosophists’ example helps construct a notion of philosophy for/with children as an autonomous playful activity that albeit (...) (implicitly) purposive it is, however, without (explicit) purpose (something akin to Kant’s aesthetic judgement). Alluding to an Aristotelian sense of ‘telos’ in its connection with Platonic ‘paideia’ I understand philosophy for/with children as an activity that we carry out for its own sake. This does not mean that we are to abolish elements such as antagonism, competition, excellence, etc.―there is no question: the competitive element is there. But what does it mean? We could fix its meaning according to a purpose (we compete to excel or persuade and win) or we might entertain the idea of keeping its meaning rather vague or undetermined, implicit. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying (...) the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. -/- 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.] -/- « Wenn du gerade das, wodurch auch immer du gefesselt bist, erkennst, wirst du zur Freiheit gelangen. Wenn du diesen speziellen Pfad verwirklichst, gelangst du in einem Leben zur Buddhaschaft. Deswegen verhält es sich folgendermaßen : Wenn plötzlich die Geistesregung « Begierde » enststeht, dann betrachte, ohne ihr zu folgen, direkt ihre Essenz und verweile in dieser Betrachtung, ohne Ablenkungen zuzulassen. Auf diese Weise reinigt Begierde sich selbst, ohne aufgegeben zu werden, da sie ohne Grundlage und Ursprung entsteht. Das wird « Befreiung in sich selbst », « unterscheidende ursprüngliche Weisheit » oder Buddha Amitabha » genannt ». Jigden Sumgön, Licht, das die Dunkelheit durchbricht, Otter Verlag, München 2006, Seite 47, 48 . (shrink)

In this work we study dimensional theoretical properties of some a±ne dynamical systems. By dimensional theoretical properties we mean Hausdor® dimension and box- counting dimension of invariant sets and ergodic measures on theses sets. Especially we are interested in two problems. First we ask whether the Hausdor® and box- counting dimension of invariant sets coincide. Second we ask whether there exists an ergodic measure of full Hausdor® dimension on these invariant sets. If this is not the case we ask the (...) question, whether at least the variational principle for Haus- dor® dimension holds, which means that there is a sequence of ergodic measures such that their Hausdor® dimension approximates the Hausdor® dimension of the invariant set. It seems to be well accepted by experts that these questions are of great importance in developing a dimension theory of dynamical systems (see the book of Pesin about dimension theory of dynamical systems [PE2]). Dimensional theoretical properties of conformal dynamical systems are fairly well understood today. For example there are general theorems about conformal repellers and hyperbolic sets for conformal di®eomorphisms (see chapter 7 of [PE2]). On the other hand the existence of two di®erent rates of expansion or contraction forces problems that are not captured by a general theory this days. At this stage of de- velopment of the dimension theory of dynamical systems it seems natural to study non conformal examples. This is the ¯rst step to understand the mechanisms that determine dimensional theoretical properties of non conformal dynamical systems. A±ne dynamical systems represent simple examples of non conformal systems. They are easy to de¯ne, but studying their dimensional theoretical properties does never- theless provide challenging mathematical problems and exemplify interesting phe- nomena. We consider here a special class of self-a±ne repellers in dimension two, depending on four parameters (see 2.1.). Furthermore we study a class of attractors of piecewise a±ne maps in dimension three depending on four parameters as well. The last object of our work are projections of these maps that are known as gener- alized Baker's transformations (see 2.2.). The contents of our work is the following: In chapter two we give an overview about some main results in the area of di- mension theory of a±ne dynamical systems and de¯ne the systems we study in this work. We will explain, what is known about the dimensional theoretical properties of these systems and describe what our new results are. In chapter three we then apply symbolic dynamics to our systems. We will introduce explicit shift codings 4 and ¯nd representations of all ergodic measures for our systems using these codings. From chapter four to chapter eight we study dimensional theoretical properties, which our systems generally or generically have. In chapter four we will prove a formula for the box-counting dimension of the repellers and the attractors (see the- orem 4.1.). Then in chapter ¯ve we apply general dimensional theoretical results for ergodic measures found by Ledrappier and Young [LY] and Barreira, Schmeling and Pesin [BPS] to our systems. These results relate the dimension of ergodic measures to metric entropy and Lyapunov exponents. Using this approach we will be able to reduce questions about the dimension of ergodic measures in our context to ques- tions about certain overlapping and especially overlapping self-similar measures on the line. These overlapping self-similar measures are studied in chapter six. Our main theorem extends a result of Peres and Solomyak [PS2] concerning the absolute continuity resp. singularity of symmetric self-similar measures to asymmetric ones (see theorem 6.1.3.). In chapter seven we bring our results together. We prove that we generically (in the sense of Lebesgue measure on a part of the parameter space) have the iden- tity of box-counting and Hausdor® dimension for the repellers and the attractors. (see theorem 7.1.1. and corollary 7.1.2.). This result suggest that one can expect that the identity of box-counting dimension and Hausdor® dimension holds at least generically in some natural classes of non conformal dynamical systems. Furthermore we will see in chapter seven that there generically exists an ergodic measure of full Hausdor® dimension for the repellers. On the other hand the vari- ational principle for Hausdor® dimension is not generic for the attractors. It holds only if we assume a certain symmetry (see theorem 7.1.1.). For generalized Baker's transformations we will ¯nd a part of the parameter space where there generically is an ergodic measure of full dimension and a part where the variational principle for Hausdor® dimension does not hold (see theorem 7.1.3.). Roughly speaking the reason why the variational principle does not hold here is, that if there exists both a stable and an unstable direction one can not generically maximize the dimension in the stable and in the unstable direction at the same time. In an other setting this phenomenon was observed before by Manning and McCluskey [MM]. In chapter eight we extend some results of the last section to invariant sets that correspond to special Markov chains instead of full shifts (see theorem 8.1.1.). In the last two chapters of our work we are interested in number theoretical excep- tions to our generic results. The starting point of our considerations in section nine are results of ErdÄos [ER1] and Alexander and Yorke [AY] that establish singularity and a decrease of dimension for in¯nite convolved Bernoulli measures under special conditions. Using a generalized notion of the Garsia entropy ([GA1/2]) we are able 5 to understand the consequences of number theoretical peculiarities in broader class of overlapping measures (see theorem 9.1.1.). In chapter ten we then analyze number theoretical peculiarities in the context of our dynamical systems. We restrict our attention to a symmetric situation where we generically have the existence of a Bernoulli measure of full dimension and the identity of Hausdor® and box-counting dimension for all of our systems. In the ¯rst section of chapter ten we ¯nd parameter values such that the variational principle for Hausdor® dimension does not hold for the attractors and for the Fat Baker's transformations (see theorem 10.1.1.). These are the ¯rst known examples of dynamical systems for which the variational principle for Hausdor® dimension does not hold because of number theoretical peculiarities of parameter values. For the repellers we have been able to show that under certain number theoretical conditions there is at least no Bernoulli measure of full Hausdor® dimension; the question if the variational principle for Hausdor® dimension holds remains open in this situation. In the second section of chapter ten we will show that the identity for Hausdor® and box-counting dimension can drops because there are number theoretical pecu- liarities. In the context of Weierstrass-like functions this phenomenon was observed by Przytycki and Urbanski [PU]. Our theorem extends this result to a larger class of sets, invariant under dynamical systems (see theorem 10.2.1). At the end of this work the reader will ¯nd two appendices, a list of notations and the list of references. In appendix A we introduce the notions of dimension we use in this work and collect some general facts in dimension theory. In appendix B we state the facts about Pisot-Vijayarghavan number, we need in our analysis of number theoretical peculiarities. The list of notations contains general notations and a table with a summary of notations we use to describe the dynamical systems that we study. Acknowledgments I wish to thank my supervisor JÄorg Schmeling for a lot of valuable discussion and all his help. Also thanks to Luis Barreira for his great hospitality in Lisboa and many interesting comments. This work was done while I was supported by "Promotionstipendium gem. NaFÄoG der Freien UniversitÄat Berlin". (shrink)