The main focus of the book is the presentation of the 'inertial' view of population growth. This view provides a rather simple model for complex population dynamics, and is achieved at the level of the single species without invoking species interactions. An important part of this account is the maternal effect. Investment of mothers in the quality of their daughters makes the rate of reproduction of the current generation depend not only on the current environment, but also on the environment (...) experienced by the previous generation. (shrink)
De Orbitis Planetarum, tesis presentada por Hegel en 1801 para acceder a la Universidad de Jena, es el texto menos conocido del filósofo alemán. Considerado un inmaduro ejercicio de juventud, este libro muestra no sólo el pensamiento del joven Hegel, sino que también refleja el ambiente que enmarcaba el idealismo alemán en torno a la filosofía de la naturaleza. Sin embargo Hegel mantuvo un concepto referido al funcionamiento y legitimidad de los procesos científicos que aparece esbozado en este texto. Esta (...) obra es de gran interés para amantes de la filosofía, astrónomos e historiadores de la ciencia, pues en ella aparece la difícil relación que actualmente mantienen filosofía y ciencia. Uno de los motivos que impulsó a Hegel a escribirla fue el deseo de mantener en relación estos dominios del saber, hasta entonces un único cuerpo de conocimiento. (shrink)
An emerging philosophical perspective called “postphenomenology,” which offers reflection upon human relations to technology, has the potential to increase our understanding of the functions performed by imaging technologies in scientific practice. In what follows, I review some relevant insights and expand them for use in the concrete analysis of practices of image interpretation in science. As a guiding example, I explore how these insights bear upon a contemporary debate in space science over images of the fossilized remains of a river (...) delta on the surface of Mars. These considerations include an analysis of the ways that the objects of study are transformed by the mediating imaging technologies, such as the Mars Orbiter Camera. (shrink)
The discovery of Earth-sized extrasolar planets orbiting distant stars will merit an expansion of the sphere of entities worthy of moral consideration. Although it will be a long time, if ever, before humans visit these planets, it is nevertheless worthwhile to develop an environmental ethic that encompasses these planets, as this ethic reflects on our view of life on Earth and elsewhere. A particularly significant case would be a planet that displays spectroscopic signatures of life, although the (...) discovery of many lifeless planets might itself intensify the value of life on Earth. A derivation of Schweitzer’s general principle of “reverence for life” and similar frameworks are appropriate ethics with which to view extrasolar planets. The development of an ethical framework for extrasolar planets might provide a means to fashion a deeper and more effective environmental ethic for Earth’s biosphere. (shrink)
We present a logically detailed case-study of explanation and prediction in Newtonian mechanics. The case in question is that of a planet’s elliptical orbit in the Sun’s gravitational field. Care is taken to distinguish the respective contributions of the mathematics that is being applied, and of the empirical hypotheses that receive a mathematical formulation. This enables one to appreciate how in this case the overall logical structure of scientific explanation and prediction is exactly in accordance with the hypotheticodeductive model.
The question whether numbers are objects is a central question in the philosophy of mathematics. Frege made use of a syntactic criterion for objethood: numbers are objects because there are singular terms that stand for them, and not just singular terms in some formal language, but in natural language in particular. In particular, Frege (1884) thought that both noun phrases like the number of planets and simple numerals like eight as in (1) are singular terms referring to numbers as (...) abstract objects. (shrink)
We compare astronomers' removal of Pluto from the listing of planets and psychiatrists' removal of homosexuality from the listing of mental disorders. Although the political maneuverings that emerged in both controversies are less than scientifically ideal, we argue that competition for "scientific authority" among competing groups is a normal part of scientific progress. In both cases, a complicated relationship between abstract constructs and evidence made the classification problem thorny.
The formal properties of orbits in a plane are explored by elementary topology. The notions developed from first principles include: convex and polygonal orbits; convexity; orientation, winding number and interior; convex and star-shaped regions. It is shown that an orbit that is convex with respect to each of its interior points bounds a convex region. Also, an orbit that is convex with respect to a fixed point bounds a star-shaped region.Biological considerations that directed interest to these patterns are (...) indicated, and the implications of the prospect of higher orders of star-shapedness mentioned. (shrink)
They had to be, because they were the creations of a perfect God, and a circle is the most perfect of geometrical objects. When Johannes Kepler, after spending most of his career trying to make sense of the meticulous planetary observations of Tycho Brahe, concluded that the orbits of the planets were not circles but ellipses, the discovery sent shock waves through the community of natural philosophers. The discovery led Newton and others to arrive at the inverse square (...) law of gravitational attraction. (shrink)
The theory of chaotic dynamical systems gives many tools that can be used in climate studies. The widely used ones are the Lyapunov exponents, the Kolmogorov entropy and the attractor dimension characterizing global quantities of a system. Another potentially useful tool from dynamical system theory arises from the fact that the local analysis of a system probability distribution function (PDF) can be accomplished by using a procedure that involves an expansion in terms of unstable periodic orbits (UPOs). The system (...) measure (or its statistical characteristics) is approximated as a weighted sum over the orbits. The weights are inversely proportional to the orbit instability characteristics so that the least unstable orbits make larger contributions to the PDF. Consequently, one can expect some relationship between the least unstable orbits and the local maxima of the system PDF. As a result, the most probable system trajectories (or ‘circulation regimes’ in some sense) may be explained in terms of orbits. For the special classes of chaotic dynamical systems, there is a strict theory guaranteeing the accuracy of this approach. However, a typical atmospheric model may not qualify for these theorems. In our study, we will try to apply the idea of UPO expansion to the simple atmospheric system based on the barotropic vorticity equation of the sphere. We will check how well orbits approximate the system attractor, its statistical characteristics and PDF. The connection of the most probable states of the system with the least unstable periodic orbits will also be analysed. (shrink)
The goal of this paper is to announce there is a single orbit of the c.e. sets with inclusion, ε, such that the question of membership in this orbit is ${\Sigma _1^1 }$ -complete. This result and proof have a number of nice corollaries: the Scott rank of ε is $\omega _1^{{\rm{CK}}}$ + 1; not all orbits are elementarily definable; there is no arithmetic description of all orbits of ε; for all finite α ≥ 9, there is a (...) properly $\Delta _\alpha ^0 $ orbit (from the proof). (shrink)
A set X of nonnegative integers is computably enumerable (c.e.), also called recursively enumerable (r.e.), if there is a computable method to list its elements. Let ε denote the structure of the computably enumerable sets under inclusion, $\varepsilon = (\{W_e\}_{e\in \omega}, \subseteq)$ . We previously exhibited a first order ε-definable property Q(X) such that Q(X) guarantees that X is not Turing complete (i.e., does not code complete information about c.e. sets). Here we show first that Q(X) implies that X has (...) a certain "slowness" property whereby the elements must enter X slowly (under a certain precise complexity measure of speed of computation) even though X may have high information content. Second we prove that every X with this slowness property is computable in some member of any nontrivial orbit, namely for any noncomputable A ∈ ε there exists B in the orbit of A such that X ≤ T B under relative Turing computability (≤ T ). We produce B using the Δ 0 3 -automorphism method we introduced earlier. (shrink)
Some properties are discussed of regular polygons that may result from angular homeostatic processes in stable orbit. To characterize these homeostatic polygons we need to discuss the winding number, the sidedness (integer, fractional and irrational), multiplicity, envelopes, and density. A regular (i.e., equilateral, equiangular) polygon may be closed in one revolution about its unique center, in multiple revolutions, or not at all. A homeostatic polygon can be generated only if all vertices are included in a single polygon, which occurs if (...) and only if the number of vertices and the number of revolutions required to complete the polygon are relatively prime. For the homeostatic polygon to have a finite number of sides (without repeating itself) the angle subtended by any two successive vertices at the center must be a rational multiple of 2. Biological implications of these properties are illustrated. (shrink)
In 2006, much to the dismay of many amateur (and some professional) astronomers, the International Astronomical Union (IAU) voted to adopt a definition of „planet‟ which excluded Pluto from the extension of the term. Since its discovery in 1930, Pluto has been designated one of the nine planets in our solar system – veritable celestial royalty among the thousands of objects that make up this system. But with the discovery of a number of objects of similar size and orbit (...) to Pluto,i it was recognized that these objects – and potentially hundreds of others – would have be reclassified as planets or Pluto would have to lose this status. And the IAU chose the latter course of action. (shrink)
This paper concerns automorphisms of the computably enumerable sets. We prove two results relating semilow sets and prompt degrees via automorphisms, one of which is complementary to a recent result of Downey and Harrington. We also show that the property of effective simplicity is not invariant under automorphism, and that in fact every promptly simple set is automorphic to an effectively simple set. A major technique used in these proofs is a modification of the Harrington-Soare version of the method of (...) Harrington-Soare and Cholak for constructing Δ 0 3 automorphisms; this modification takes advantage of a recent result of Soare on the extension of "restricted" automorphisms to full automorphisms. (shrink)
It will be shown that in the lattice of recursively enumerable sets all lattices $\underline{L}(X)$ are elementarily definable with parameters, where X is Σ 0 3 and $\underline{L}^3(X)$ consists of all Σ 0 3 sets containing X.
This paper contributes to the question of under which conditions recursively enumerable sets with isomorphic lattices of recursively enumerable supersets are automorphic in the lattice of all recursively enumerable sets. We show that hyperhypersimple sets (i.e. sets where the recursively enumerable supersets form a Boolean algebra) are automorphic if there is a Σ 0 3 -definable isomorphism between their lattices of supersets. Lerman, Shore and Soare have shown that this is not true if one replaces Σ 0 3 by Σ (...) 0 4. (shrink)
These are indispensable for successful science in some domain; in short, they are natural kinds. This book gives a general account of what it is to be a natural kind. It untangles philosophical puzzles surrounding natural kinds.
Ever since Copernicus, scientists have continually adjusted their view of human nature, moving it further and further from its ancient position at the center of Creation. But in recent years, a startling new concept has evolved that places it more firmly than ever in a special position. Known as the Anthropic Cosmological Principle, this collection of ideas holds that the existence of intelligent observers determines the fundamental structure of the Universe. In its most radical version, the Anthropic Principle asserts that (...) "intelligent information-processing must come into existence in the Universe, and once it comes into existence, it will never die out." This wide-ranging and detailed book explores the many ramifications of the Anthropic Cosmological Principle, covering the whole spectrum of human inquiry from Aristotle to Z bosons. Bringing a unique combination of skills and knowledge to the subject, John D. Barrow and Frank J. Tipler--two of the world's leading cosmologists--cover the definition and nature of life, the search for extraterrestrial intelligence, and the interpretation of the quantum theory in relation to the existence of observers. The book will be of vital interest to philosophers, theologians, mathematicians, scientists, and historians, as well as to anyone concerned with the connection between the vastness of the universe of stars and galaxies and the existence of life within it on a small planet out in the suburbs of the Milky Way. (shrink)
: This study of the concept of orbit is intended to throw light on the nature of revolutionary concepts in science. We observe that Kepler transformed theoretical astronomy that was understood in terms of orbs [Latin: orbes] (spherical shells to which the planets were attached) and models (called hypotheses at the time), by introducing a single term, orbit [Latin: orbita], that is, the path of a planet in space resulting from the action of physical causes expressed in laws of (...) nature. To demonstrate the claim that orbit is a revolutionary concept we pursue three lines of argument. First we trace the origin of the term; second, we document its development and specify the meaning of the novel term as it was introduced into astronomy by Kepler in his Astronomia nova (1609). Finally, in order to establish in what sense the concept is revolutionary, we pay attention to the enduring impact that the concept has had on the relevant sciences, in this case astronomy and indeed physics. We claim that orbit is an instance of a revolutionary concept whose provenance and use can provide the insights we are seeking. (shrink)
The following story is about the Venerable Mahā-maudgalyāyana,[2] an enlightened disciple of the historical Buddha Śākyamuni. Mahā-maudgalyāyana travels to a distant solar system, to a planet which is inhabited by giant people, and on which there is also a Buddha with disciples practicing under his guidance. The story, which brings to mind Swift’s Gulliver in the land of the giants, is remarkable in many respects. The Buddha and Mahā- maudgalyāyana both probably lived during the fifth and sixth centuries BCE. In (...) the European West, until the time of Galileo (1564-1642), most educated people thought the whole cosmos rotated around the earth and consisted of the sun and seven planets. They did not realize that the stars were other suns. This story here related shows that 2,500 years ago, Buddhists were aware of a vast cosmos filled with suns and planets and sentient life. Contemporary, scientifically oriented people often have a tendency to dismiss non-Western cosmologies as limited, primitive, and distorted myths, in the negative sense of that word. In this story we are presented with a cosmology that seems much closer than the Western pre-Galilean view to the contemporary scientific view of the physical universe. Of course the assertions about the spiritual powers of the Buddha and Mahā-maudgalyāyana and the size of the people on the distant planet do not merge so easily with contemporary scientific, materialist mindsets. (shrink)
A most unusual guide to the solar system, A Little Book of Coincidence suggests that there may be fundamental relationships between space, time, and life that have not yet been fully understood. From the observations of Ptolemy and Kepler to the Harmony of the Spheres and the hidden structure of the solar system, John Martineau reveals the exquisite orbital patterns of the planets and the mathematical relationships that govern them. A table shows the relative measurements of each planet in (...) eighteen categories, and three pages show the beautiful dance patterns of thirty six pairs of planets and moons. (shrink)
For over half a century, scholars have laboured to show that C. S. Lewis's famed but apparently disorganised Chronicles of Narnia have an underlying symbolic coherence, pointing to such possible unifying themes as the seven sacraments, the seven deadly sins, and the seven books of Spenser's Faerie Queene. None of these explanations has won general acceptance and the structure of Narnia's symbolism has remained a mystery. -/- Michael Ward has finally solved the enigma. In Planet Narnia he demonstrates that medieval (...) cosmology, a subject which fascinated Lewis throughout his life, provides the imaginative key to the seven novels. Drawing on the whole range of Lewis's writings (including previously unpublished drafts of the Chronicles), Ward reveals how the Narnia stories were designed to express the characteristics of the seven medieval planets - - Jupiter, Mars, Sol, Luna, Mercury, Venus, and Saturn - - planets which Lewis described as "spiritual symbols of permanent value" and "especially worthwhile in our own generation". Using these seven symbols, Lewis secretly constructed the Chronicles so that in each book the plot-line, the ornamental details, and, most important, the portrayal of the Christ-figure of Aslan, all serve to communicate the governing planetary personality. The cosmological theme of each Chronicle is what Lewis called 'the kappa element in romance', the atmospheric essence of a story, everywhere present but nowhere explicit. The reader inhabits this atmosphere and thus imaginatively gains connaître knowledge of the spiritual character which the tale was created to embody. -/- Planet Narnia is a ground-breaking study that will provoke a major revaluation not only of the Chronicles, but of Lewis's whole literary and theological outlook. Ward uncovers a much subtler writer and thinker than has previously been recognized, whose central interests were hiddenness, immanence, and knowledge by acquaintance. (shrink)
In this paper we will address the problem of the existence of orbitals by analyzing the relationship between molecular chemistry and quantum mechanics. In particular, we will consider the concept of orbital in the light of the arguments that deny its referring character. On this basis, we will conclude that the claim that orbitals do not exist relies on a metaphysical reductionism which, if consistently sustained, would lead to consequences clashing with the effective practice of science in its different branches.
In the nineteenth century, astronomers thought that a planet between Mercury and the Sun was causing perturbations in the orbit of Mercury, and they introduced ‘Vulcan’ as a name for such a planet. But they were wrong: there was, and is, no intra-Mercurial planet. Still, these astronomers went around saying things like (2) Vulcan is a planet between Mercury and the Sun. Some philosophers think that, when nineteenth-century astronomers were theorizing about an intra-Mercurial planet, they created a hypothetical planet.
In its most common use, the term ‘model’ refers to a simplified and stylised version of the socalled target system, the part or aspect of the world that we are interested in. For instance, in order to determine the orbit of a planet moving around the sun we model the planet and the sun as perfect homogenous spheres that gravitationally interact with each other but nothing else in the universe, and then apply Newtonian mechanics to this system, which reveals that (...) the planet moves on an elliptical orbit. Views diverge about what sort of entity such a model is. Those focussing on the formal aspects of models regard them either as equations or settheoretical structures, while those opposed to such an approach take them to be descriptions or abstract (yet non-mathematical) entities. A further question concerns the relation of models and theories. In some cases models can be derived from theory simply by specifying the relevant determinables in a theory’s general equations. But many models cannot be obtained from theory in this straightforward way, and some even involve assumptions that contradict the fundamental theory. The relation of models to their respective target systems is equally complex and fraught with controversy. Two influential proposals take the relation between a model and its target to be isomorphism or similarity, respectively. This, however, has been criticised as too restrictive as many models do not seem to fit this mould. (shrink)
Mulliken proposed an Aufbauprinzip for the molecules on the basis of molecular spectroscopy while establishing, point by point, his concept of molecular orbit. It is the concept of electronic state which becomes the lever for his attribution of electronic configurations to a molecule. In 1932, the concept of orbit was transmuted into that of the molecular orbital to integrate the probabilistic approach of Born and to achieve quantitative accuracy. On the basis of the quantum works of Hund, Wigner, Lennard-Jones and (...) group theory, he suggested the fragment method to establish the characteristics of molecular orbital for polyatomic molecules. These developments make it possible to bring elements of thought on the relation between a molecular whole and its parts . An operational realism combined with the second law of thermodynamics can pave the way for interesting tracks in the mereological study of chemical systems. (shrink)
The main thrust of the paper involves a theoretical and philosophical analysis of the claim made in September 1999 that atomic orbitals have been directly imaged for the first time. After a brief account of the recent claims the paper reviews the development of the orbit and later orbital concepts and analyzes the theoretical status of atomic orbitals. The conclusion is that contrary to these claims, atomic orbitals have not in fact been observed. The non-referring nature of modern atomic orbitals (...) is discussed in the context of Laudan's writings on realism, the success of theories, and whether or not scientific terms refer. I conclude that the failure to observe orbitals is a good prima facie case for divorcing the success of theories from the question of whether their central terms refer. The added relevance of this case is that it concerns a current and highly successful theory. Finally, the relevance of this 'floating model' to contemporary discussions on scientific models is briefly considered. (shrink)
Eric Scerri and other authors have acknowledged that the reality of chemical orbitals is not compatible with quantum mechanics. Recently, however, Scerri and Sharon Crasnow have argued that if chemists cannot consider orbitals as real entities, then chemistry is in danger of being reduced to physics. I argue that the question of the existence of orbitals is best viewed as an issue of approximation, not metaphysics: in many chemically important cases orbitals do not make sufficiently accurate predictions, and must be (...) replaced. Chemists and physicists can acknowledge this fact while maintaining the utility of orbitals and the autonomy of chemistry. (shrink)
We consider the following question within both Newtonian physics and relativity theory. "Given two point particles X and Y, if Y is rotating relative to X, does it follow that X is rotating relative to Y?" As it stands the question is ambiguous. We discuss one way to make it precise and show that, on that reading at least, the answers given by the two theories are radically different. The relation of relative orbital rotation turns out to be symmetric in (...) Newtonian physics, but not in relativity theory. (shrink)
In October-2010 the headlines of the science press were dominated by the announcement of the discovery of a “Goldilocks Planetâ€, Gleise 581g, which has a mass not too different from that of the Earth and has an orbit squarely in the middle of the habitable zone of its parent star. It was supposed to be not too hot, not too cold, but just right for the evolution of life. Steven Vogt of UC Santa Cruz, the lead author of the paper, (...) was quoted (out of context) as saying, “The chances of life on the planet are 100%.†Now that some of the dust has settled concerning this reported discovery, I’d like to have a look at the work behind the announcement and consider its present status. (shrink)
Globalization presages an important new stage in the centuries-old 'civilizing process,' which Norbert Elias analyzed with such clarity and in such depth. At the root of the fundamental transformations of our world of nation-states are combined integrating and disintegrating tendencies, or centralization and individualization, which manifest themselves in a steady monopolization of the means of violence and taxation, an interventionist human rights discourse, and war as a means of democratizing and pacifying the planet. Elias' 'historical social psychological' approach offers new (...) categories of analysis with which to both explain the effects of globalization and indicate how international interdependence fosters both control and resistance, both democratization and radicalization, and both integration and disintegration. (shrink)
Interpretation of experiments involving use of vacuum ultraviolet radiation to effect ionization of N 2 in terms of measurements of a molecular orbital is erroneous.
The article disputes the recent claim featured in "Nature" magazine and many other science magazines to the effect that atomic orbitals have been observed for the first time. The claim is incorrect in view of the unconvincing nature of the evidence adduced and since atomic orbitals are deemed unobservable in principle by quantum mechanics. In addition, the possible educational drawbacks of this incorrect claim are discussed.
In my previous article on the benzene problem, I described how Pauling's valence bond (resonance) theory, sometimes regarded as a modernized version of Kekule's oscillation hypothesis, came to be accepted by chemists by the end of World War II. But the alternative molecular orbital theory, proposed by Mulliken, had already been developed and was regarded as quantitatively superior by many quantum chemists, though it was not as easy to visualize and did not seem to harmonize as well with traditional chemical (...) concepts. During the 1950s and 1960s, thanks to the efforts of Charles Coulson and many other theorists, the molecular orbital approach not only dominated theoretical discussions but also started to be accepted by the chemical community as a whole and became the preferred description for benzene. Possible reasons were: its greater calculational convenience when applied to large molecules; better expository methods directed toward chemists; the spectacular success of the Woodward-Hoffmann rules for pericyclic reactions and Fukui's frontier orbital theory; and the development of a general theory of aromaticity, which predicted properties of similar molecules such as cyclobutadiene (C4H4). The relative importance of these reasons is explored through a mail survey of chemists. (shrink)
Collier, Paul: The Plundered Planet: Why We Must—And How We Can—Manage Nature for Global Prosperity Content Type Journal Article DOI 10.1007/s10806-010-9276-0 Authors Amitrajeet A. Batabyal, Rochester Institute of Technology Department of Economics 92 Lomb Memorial Drive Rochester NY 14623-5604 USA Journal Journal of Agricultural and Environmental Ethics Online ISSN 1573-322X Print ISSN 1187-7863.
This commentary focuses on the “olfactory cortices–hippocampal formation” axis, proposed by Aboitiz et al. to be that network which allowed the first mammals to create elaborate representations of space. I argue here that this neural axis can be extended to a triangle of structures which also includes the orbital cortex.
In this paper we show that there are "E₀ many" orbit inequivalent free actions of the free groups Fn. 2 ≤ n ≤ ∞ by measure preserving transformations on a standard Borel probability space. In particular, there are uncountably many such actions.
Anna Lappé: Diet for a Hot Planet: The Climate Crisis at the End of Your Fork and What You Can Do About it Content Type Journal Article Pages 1-2 DOI 10.1007/s10806-011-9326-2 Authors Diane Veale Jones, College of Saint Benedict/Saint John’s University Environmental Studies Department, 112 New Science Center, Saint John’s University, Collegeville, MN 56321, USA Journal Journal of Agricultural and Environmental Ethics Online ISSN 1573-322X Print ISSN 1187-7863.
Anna Lappé: Diet for a Hot Planet: The Climate Crisis at the End of Your Fork and What You Can Do About it Content Type Journal Article DOI 10.1007/s10806-010-9265-3 Authors John Vandermeer, University of michigan Department of Ecology and Evolutionary Biology Ann Arbor MI 48109 USA Journal Journal of Agricultural and Environmental Ethics Online ISSN 1573-322X Print ISSN 1187-7863.
The general chemistry curriculum includes a prelude that consumes nearly all of the first semester and occupies the first third of the typical textbook. This necessary prelude to the main event is comparable in scope to precalculus though not broken out as a formal ‘prechemistry’ course. Atomic orbitals account for much of this prelude-to-chemistry. By tradition, orbital theory is conveyed to the student in three disjunct pieces, presented in the following illogical order: the Pauli principle, the Aufbau principle, and Hund’s (...) rule. (Often the n + l rule is tossed into the mix as well, though with no fixed place in the scheme). In the early twentieth century, as various researchers announced new insights into the atom at unpredictable intervals, no one could have been faulted for teaching orbitals in such a manner, catch-as-catch-can. A hundred years on, the vestiges of that (presumed) practice look wrong, and are indefensible. In the approach advocated here, orbitals would be taught as a single hierarchical rule-set, with the parts coherently sequenced as Aufbau–Hund–Pauli (and with Madelung’s n + l rule rehabilitated as part of Aufbau, no longer a free-floating mnemonic aid only). Logic aside, pragmatism offers its own argument for adopting this scheme: A tighter approach to Aufbau can lighten the ‘prechemistry’ burden significantly and bring the student that much sooner to chemistry itself. (shrink)
t f I hear the patter of little feet around the house, I expect Bruce. What I expect is a cat, a particular cat. If I heard such a patter in another house, I might expect a cat but no particular cat. What I expect then seems to be a Meinongian incomplete cat. I expect winter, expect stormy weather, expect to shovel snow, expect fatigue ââ¬â a season, a phenomenon, an activity, a state. I expect that someday mankind will inhabit (...) at least five planets. This time what I expect is a state of affairs. If we let surface grammar be our guide, the objects of expectation seem quite a miscellany. The same goes for belief, since expectation is one kind of belief. The same goes for desire: I could want Bruce, want a cat but no particular cat, want winter, want stormy weather, want to shovel snow, want fatigue, or want that someday mankind will inhabit at least five planets. The same goes for other attitudes to the extent that they consist partly of beliefs or desires or lacks thereof. But the seeming diversity of objects might be an illusion. Perhaps the objects of attitudes are uniform in category, and it is our ways of speaking elliptically about these uniform objects that are diverse. That indeed is our consensus. We mostly think that the attitudes uniformly have propositions as their objects. That is why we speak habitually of "propositional attitudes.". (shrink)
The furniture of the world includes planets and pebbles, hopes and fears, fields and waves, theories and problems, births and deaths. As metaphysicians, we want to understand the basic nature of these and other kinds of item; and my topic is the basic nature of births and deaths - more generally, of events. If events are things that happen, what differentiates them from sticks and stones, which are things that exist but do not happen? Do events constitute a fundamental (...) ontological category, or is our event concept just a way of organizing material that could be handled without its aid? With questions like those in the background, I ask: what sort of things are events? Locke and Leibniz knew the answer to this; then Kim rediscovered it; but his rediscovery did less good than it might have because it was ambushed by an error. I shall explain. A sparrow falls. That fall of that sparrow is a particular, located in space and time. It occurs where the sparrow is when it falls, and it occurs just then. It is, then, closely linked to the sparrow, and even more closely to the fact that the sparrow falls there and then. Witness the opening of this paragraph, where I said that a sparrow falls, and went straight on to speak of “that fall”. That the fall exists (= occurs) is a logical upshot of the fact that the sparrow falls. Every event results logically from some such underlying fact: there was a fight because some animals fought, there was a storm because wind and water moved thus and so. In section 12, I shall discuss the rival view that some animals fought because there was a fight. What metaphysical categories have a role in the fact that a certain sparrow fell? Can any of them be identified with the sparrow’s fall? I shall consider five candidates: a fact, a thing, a temporal part of a thing, a property, and a property-instance. (a) The fact that the sparrow falls. One simple reason why an event cannot be a fact is that events have positions in space-time, whereas facts do not.. (shrink)
1. Background. At least from the time of the ancient Greeks, most philosophers have held that some of our knowledge is independent of experience, or “a priori”. Indeed, a major tenet of the rationalist tradition in philosophy was that a great deal of our knowledge had this character: even Kant, a critic of some of the overblown claims of rationalism, thought that the structure of space could be known a priori, as could many of the fundamental principles of physics; and (...) Hegel is reputed to have claimed to have deduced on a priori grounds that the number of planets is exactly five. (shrink)
Abstract A common view is that natural language treats numbers as abstract objects, with expressions like the number of planets , eight , as well as the number eight acting as referential terms referring to numbers. In this paper I will argue that this view about reference to numbers in natural language is fundamentally mistaken. A more thorough look at natural language reveals a very different view of the ontological status of natural numbers. On this view, numbers are not (...) primarily treated abstract objects, but rather ‘aspects’ of pluralities of ordinary objects, namely number tropes, a view that in fact appears to have been the Aristotelian view of numbers. Natural language moreover provides support for another view of the ontological status of numbers, on which natural numbers do not act as entities, but rather have the status of plural properties, the meaning of numerals when acting like adjectives. This view matches contemporary approaches in the philosophy of mathematics of what Dummett called the Adjectival Strategy, the view on which number terms in arithmetical sentences are not terms referring to numbers, but rather make contributions to generalizations about ordinary (and possible) objects. It is only with complex expressions somewhat at the periphery of language such as the number eight that reference to pure numbers is permitted. Content Type Journal Article Pages 1-38 DOI 10.1007/s11098-011-9779-1 Authors Friederike Moltmann, IHPST (Paris1/ENS/CNRS), Paris, France Journal Philosophical Studies Online ISSN 1573-0883 Print ISSN 0031-8116. (shrink)
I will defend what Peter van Inwagen (1990) calls nihilism: the view that nothing is a (proper) part of anything. This formulation needs refining, but it will do for now.1 Nihilism may seem absurd. The world of common sense and science seems, after all, to consist primarily of entities with parts: persons, animals, plants, planets, stars, galaxies, molecules, viruses, rocks, mountains, rivers, tables, chairs, telephones, skyscrapers, cities… But the denial of such entities is not absurd when it is coupled (...) with the acceptance of their simple subatomic particles.2 Consider three subatomic particles, a, b , and c, arranged in a triangular pattern. According to me, there exist only three things here: a, b , and c. According to others, there exists a fourth thing: a triangle, T , which contains a, b , and c as parts. (Forgive my calling T a triangle even though it consists solely of the vertices.) Picture our disagreement thus. (shrink)
While well-known for his book-length work, philosopher Peter Unger's articles have been less widely accessible. These two volumes of Unger's Philosophical Papers include articles spanning more than 35 years of Unger's long and fruitful career. Dividing the articles thematically, this first volume collects work in epistemology and ethics, among other topics, while the second volume focuses on metaphysics. Unger's work has advanced the full spectrum of topics at the heart of philosophy, including epistemology, metaphysics, philosophy of language and philosophy of (...) mind, and ethics. Unger advances radical positions, going against the so-called "commonsense philosophy" that has dominated the analytic tradition since its beginnings early in the twentieth century. In epistemology, his articles advance the view that nobody ever knows anything and, beyond that, argue that nobody has any reason to believe anything--and even beyond that, they argue that nobody has any reason to do anything, or even want anything. In metaphysics, his work argues that people do not really exist--and neither do puddles, plants, poodles, and planets. But, as Unger has often changed his favored positions, from one decade to the next, his work also advances the opposite, "commonsense" positions: that there are in fact plenty of people, puddles, plants and planets and, quite beyond that, we know it all to be true. On most major philosophical questions, both of these sides of Unger's significant work are well represented in this major two volume collection. Unger's vivid writing style, intellectual vitality, and fearlessness in the face of our largest philosophical questions, make these volumes of great interest not only to the philosophical community but to others who might otherwise find contemporary philosophy dry and technical. (shrink)
We often speak of an object being composed of various other objects. We say that the deck is composed of the cards, that a road is the sum total of its sections, that a house is composed of its walls, ceilings, floors, doors, etc. Suppose we have some material objects. Here is a philosophical question: what conditions must obtain for those objects to compose something? In his recent book Material Beings, Peter van Inwagen addresses this question, which he calls the (...) ‘special composition question’; his answer is:1 (1) For any material objects X , the X s compose something iff the activity of the X s constitutes a life, or there is only one of the Xs. Additionally, he accepts a simpler thesis that follows from (1):2 (2) Every material object is either a mereological atom or a living thing, where a mereological atom is an object lacking proper parts. (2) may seem radical. If it is true then there are no tables, chairs, planets, protons, galaxies, gas stations, etc. But van Inwagen does not hold it lightly— there are serious difficulties with alternate views. Moreover, he claims that.. (shrink)
Eternalists say that non-present entities (for instance dinosaurs) exist; presentists say that they do not. But some sceptics deny that this debate is genuine, claiming that presentists simply represent eternalists' quantifiers over non-present entities in different notation. This scepticism may be refuted on purely logical grounds: one of the leading candidate ‘presentist quantifiers’ over non-present things has the inferential role of a quantifier. The dispute over whether non-present objects exist is as genuine and non-verbal as the dispute over whether there (...) is life on other planets. (shrink)
In the first part of this contribution, we review the development of the theory of scale relativity and its geometric framework constructed in terms of a fractal and nondifferentiable continuous space-time. This theory leads (i) to a generalization of possible physically relevant fractal laws, written as partial differential equation acting in the space of scales, and (ii) to a new geometric foundation of quantum mechanics and gauge field theories and their possible generalisations. In the second part, we discuss some examples (...) of application of the theory to various sciences, in particular in cases when the theoretical predictions have been validated by new or updated observational and experimental data. This includes predictions in physics and cosmology (value of the QCD coupling and of the cosmological constant), to astrophysics and gravitational structure formation (distances of extrasolar planets to their stars, of Kuiper belt objects, value of solar and solar-like star cycles), to sciences of life (log-periodic law for species punctuated evolution, human development and society evolution), to Earth sciences (log-periodic deceleration of the rate of California earthquakes and of Sichuan earthquake replicas, critical law for the arctic sea ice extent) and tentative applications to systems biology. (shrink)
In 2007, 275 million tons of meat1 were produced worldwide, enough for 92 pounds for every person (Halweil 2008, 1). On one level, this fourfold increase in meat production since 1960 might be seen as a great success story about the spread of prosperity and wealth. President Herbert Hoover's memorable 1928 campaign pledge to put "a chicken in every pot and a car in every garage" has, at least for many in the developed world, largely been realized. This juxtaposition of (...) chickens and cars is appropriate in a way that Hoover did not intend: in an important sense, the same industrial processes that have put a "car in every garage" now make it possible to "put a chicken in every pot" or a burger on every plate. What .. (shrink)
In this quite modestly ambitious essay, I'll generally just assume that, for the most part, our "scientifically informed" commonsense view of the world is true. Just as it is with such unthinking things as planets, plates and, I suppose, plants, too, so it also is with all earthly thinking beings, from people to pigs and pigeons; each occupies a region of space, however large or small, in which all are spatially related to each other. Or, at least, so it (...) is with the bodies of these beings. And, even as each of these _ordinary entities_ extends through some space, so, also, each endures through some time. In line with that, each ordinary entity is at least very largely, and is perhaps entirely, an _enduring physical_ entity (which allows that many might have certain properties that aren't purely physical properties.) Further, each ordinary enduring entity is a _physically complex_ entity: Not only is each composed of parts, but many of these parts, whether or not absolutely all of them, are themselves enduring physical entities, and many of _them_ also are such physically complex continuing entities. (shrink)
In recent times there have been a number of proposals for a nominalistic philosophy of mathematics. These proposals divide into two quite distinct camps: those who take mathematical propositions to be true, and those who take them to be untrue.2 Both options face substantial difficulties, but let’s focus on the first option. The problem here is in asserting that mathematical propositions such as ‘there exist infinitely many complex roots of the Riemann zeta function’ are true (as this one surely is) (...) and then to go on to deny that there are any complex numbers. To do this just seems inconsistent, or at least “intellectually dishonest” (Putnam, 1971, p. 347). One way to approach this problem is to reinterpret the mathematical claims in question so that they come out true, but do not refer to mathematical objects. So for example, Geoffrey Hellman [1989] interprets mathematical claims to be about possible structures. Such options, since they do not take mathematical claims at face value, must employ a non-uniform semantics and this is thought, by almost everyone, to be a significant price to pay for one’s nominalism. The problem is particularly acute when one considers mixed mathematical and empirical statements such as ‘there exists a planet with mass m and location (x, y, z) and a function G that describes the gravitational potential of the planet at time t’. Here different parts of a single sentence must be treated differently—the talk of planets (and perhaps fields) is treated literally but the mathematical parts are treated non-literally. Apparently the only alternative to reinterpreting mathematical discourse is to follow Hartry Field [1980] and deny the truth of mathematical propositions. But this option is very counterintuitive. (shrink)
When the ancient Greeks looked up into the heavens, they saw not just sun and moon, stars and planets, but a complete, coherent universe, a model of the Good that could serve as a guide to a better life. How this view of the world came to be, and how we lost it (or turned away from it) on the way to becoming modern, make for a fascinating story, told in a highly accessible manner by Remi Brague in this (...) wide-ranging cultural history. Before the Greeks, people thought human action was required to maintain the order of the universe and so conducted rituals and sacrifices to renew and restore it. But beginning with the Hellenic Age, the universe came to be seen as existing quite apart from human action and possessing, therefore, a kind of wisdom that humanity did not. Wearing his remarkable erudition lightly, Brague traces the many ways this universal wisdom has been interpreted over the centuries, from the time of ancient Egypt to the modern era. Socratic and Muslim philosophers, Christian theologians and Jewish Kabbalists all believed that questions about the workings of the world and the meaning of life were closely intertwined and that an understanding of cosmology was crucial to making sense of human ethics. Exploring the fate of this concept in the modern day, Brague shows how modernity stripped the universe of its sacred and philosophical wisdom, transforming it into an ethically indifferent entity that no longer serves as a model for human morality. Encyclopedic and yet intimate, The Wisdom of the World offers the best sort of history: broad, learned, and completely compelling. Brague opens a window onto systems of thought radically different from our own. (shrink)
Classical physics is a theory of nature that originated with the work of Isaac Newton in the seventeenth century and was advanced by the contributions of James Clerk Maxwell and Albert Einstein. Newton based his theory on the work of Johannes Kepler, who found that the planets appeared to move in accordance with a simple mathematical law, and in ways wholly determined by their spatial relationships to other objects. Those motions were apparently independent of our human observations of them.
In the postmodern world, the value of knowledge itself is questioned, and by extension those who claim to be authorities on that knowledge. As a result, Arnold Schwarzenegger as action hero is just as credible as Arnold Schwarzenegger as governor, thus redefining the meaning of an informed citizen. If Arnold Schwarzenegger can rescue entire planets, then why can voters not assume that he will be able to save California? The blame for this theoretical shift belongs not with the broader (...) entertainment industry, but instead with the news industry itself. Such celebrities-in-politics issues are not limited to California or even the United States. This article explores the difficulties of obtaining a consensus on the central interpretation of credibility and truth in a postmodern society. (shrink)
In his 1923 play R.U.R.: Rossum s Universal Robots, Karel Capek coined robot as a derivative of the Czech robota (forced labor). Limited to work too tedious or dangerous for humans, today s robots weld parts on assembly lines, inspect nuclear plants, and explore other planets. Generally, robots are still far from achieving their fictional counterparts intelligence and flexibility. Humanoid robotics labs worldwide are working on creating robots that are one step closer to science fiction s androids. Building a (...) humanlike robot is a formidable engineering task requiring a combination of mechanical, electrical, and software engineering; computer architecture; and realtime control. In 1993, we began a project aimed at constructing a humanoid robot for use in.. (shrink)
In the Esprit des Lois (EL) Montesquieu famously proposes a version of the doctrine of the separation of judicial, executive and legislative power as a way of protecting political liberty (“the opinion each has of his security”). Given the context in which he situates his arguments: an immense and theoretically opaque excursus which discusses almost everything known to political theory, anthropology and economics before his time, and essentially descriptive methodology, it is not easy to discern a clear line of argument (...) in support of the doctrine of the separation of powers. In this essay I offer an interpretation which treats it as a constitutional version of the theory of spontaneous social order. Just as, in the later work of Mandeville, Adam Smith or Hayek, social order emerges from the interaction of individuals following the demands of their own natures, political order emerges from the equilibriating interactions of contending political forces, carefully disposed by the constitution. In making this argument Montesquieu treats the emergence of spontaneous constitutional order as essentially a mechanical process, for which the best metaphor is the balance of gravitational forces which holds the planets of the solar system in equilibrium. In thinking of justice this way Montesquieu follows a line of Enlightenment thought which is essentially atheoretical and descriptive rather than abstract and prescriptive (“It is useless to attack politics directly by showing how much it is in conflict with morality and reason. This sort of argument convinces everybody but changes nobody”3). Rather than construct normative arguments about the nature of justice, the rational basis for limitations on arbitrary rule or the proper relations of competing public virtues and private passions, Montesquieu points to England as a place where liberty is protected and simply recommends that the same essential preconditions be established, confident that justice will evolve as the result of a mechanical process. The legislator need not concern himself with the institutional discipline of anti-social passions for the common good, since that is taken care of by the mechanism of the constitution. The textual evidence for this interpretation of Montesquieu is thin.. (shrink)
From Kant’s first published work to recent articles in the physics literature, philosophers and physicists have long sought an answer to the question, why does space have three dimensions. In this paper, I will flesh out Kant’s claim with a brief detour through Gauss’ law. I then describe Büchel’s version of the common argument that stable orbits are possible only if space is three-dimensional. After examining objections by Russell and van Fraassen, I develop three original criticisms of my own. (...) These criticisms are relevant to both historical and contemporary proofs of the dimensionality of space (in particular, a recent one by Burgbacher, F. Lämmerzahl, C., and Macias). In general I argue that modern “proofs” of the dimensionality of space have gone off track. (shrink)
When the whole is greater than the sum of the parts--indeed, so great that the sum far transcends the parts and represents something utterly new and different--we call that phenomenon emergence. When the chemicals diffusing in the primordial waters came together to form the first living cell, that was emergence. When the activities of the neurons in the brain result in mind, that too is emergence. In The Emergence of Everything, one of the leading scientists involved in the study of (...) complexity, Harold J. Morowitz, takes us on a sweeping tour of the universe, a tour with 28 stops, each one highlighting a particularly important moment of emergence. For instance, Morowitz illuminates the emergence of the stars, the birth of the elements and of the periodic table, and the appearance of solar systems and planets. We look at the emergence of living cells, animals, vertebrates, reptiles, and mammals, leading to the great apes and the appearance of humanity. He also examines tool making, the evolution of language, the invention of agriculture and technology, and the birth of cities. And as he offers these insights into the evolutionary unfolding of our universe, our solar system, and life itself, Morowitz also seeks out the nature of God in the emergent universe, the God posited by Spinoza, Bruno, and Einstein, a God Morowitz argues we can know through a study of the laws of nature. Written by one of our wisest scientists, The Emergence of Everything offers a fascinating new way to look at the universe and the natural world, and it makes an important contribution to the dialogue between science and religion. (shrink)
I apply an agent-based virtue ethics to issues in environmental philosophy regarding our treatment of complex inorganic systems. I consider the ethics of terraforming: hypothetical planetary engineering on a vast scale which is aimed at producing habitable environments on otherwise “hostile” planets. I argue that the undertaking of such a project demonstrates at least two serious defects of moral character: an aesthetic insensitivity and the sin of hubris. Trying to change whole planets to suit our ends is arrogant (...) vandalism. I maintain that these descriptions of character are coherent and important ethical concepts. Finally, I demonstrate how the arguments developed in opposition to terraforming, a somewhat farfetched example, can be used in cases closer to home to provide arguments against our use of recombinantDNA technologies and against the construction of tourist developments in wilderness areas. (shrink)
This volume collects thirteen of David Schmidtz's essays on the question of what it takes to live a good life, given that we live in a social and natural world. Part One defends a non-maximizing conception of rational choice, explains how even ultimate goals can be rationally chosen, defends the rationality of concern and regard for others (even to the point of being willing to die for a cause), and explains why decision theory is necessarily incomplete as a tool for (...) addressing such issues. Part Two uses the tools of analytic philosophy to explain what we can do to be deserving, what is wrong with the idea that we ought to do as much good as we can, why mutual aid is good, but why the welfare state does not work as a way of institutionalizing mutual aid, and why transferring wealth from those who need it less to those who need it more can be a bad idea even from a utilitarian perspective. Most ambitiously, Part Two offers an overarching, pluralistic moral theory that defines the nature and limits of our obligations to each other and to our individual selves. Part Three discusses the history and economic logic of alternative property institutions, both private and communal, and explains why economic logic is an indispensable tool in the field of environmental conflict resolution. In the final essay, Schmidtz brings the volume full circle by considering the nature and limits of our obligations to nonhuman species, and how the status of nonhuman species ought to enter into our deliberations about what sort of life is worth living. (shrink)
Are a statue and the lump of clay that constitutes it one object or two? Many philosophers have answered ‘two’ because the lump seems to have properties, such as the property of being able to survive flattening, that the statue lacks. This answer faces a serious problem: it seems that nothing grounds the difference in properties between colocated objects. The statue and lump are in the same environment and inherit properties from the same composing parts. But it seems that differences (...) in properties should be grounded. For this reason, philosophers including Mark Heller, Dean Zimmerman, Theodore Sider, Trenton Merricks, and Eric Olson have rejected the answer ‘two’. -/- I offer a solution to the grounding problem, in order to revive the traditional account. I argue that extrinsic relations contribute to the supervenience base of many kinds or sorts, and these extrinsic relations ground differences between colocated objects, such as statues and lumps of clay, human beings and lumps of tissue, and planets and masses of matter. The same collection of parts can stand in more than one extrinsic relation, with each relation grounding the composition of a distinct kind of object. In cases in which this happens, the properties of each object differ from the properties of other objects that share the same parts. (shrink)
: The Hellenistic reception of Babylonian horoscopic astrology gave rise to the question of what the planets really do and whether astrology is a science. This question in turn became one of defining the Greco-Latin science of astronomy, a project that took Aristotle's views as a starting-point. Thus, I concentrate on one aspect of the various definitions of astronomy proposed in Hellenistic times, their demarcation of astronomy and physical theory. I explicate the account offered by Geminus and its subordination (...) of astronomy to arguments made in physical theory about what really is the case. I then show how Ptolemy treats the same topic but maintains that this science is sufficient on its own to determine the realia it studies. In this way, I identify two moments in an obvious process of intellectual change that had profound consequences for the history of astronomy and cosmology over the next 1500 years. My hope is that this will advance our understanding of the reception of horoscopic astrology in Hellenistic times and also serve to locate Ptolemy more fully in his intellectual context. (shrink)
: All known life requires phosphorus (P) in the form of inorganic phosphate (PO43x or Pi) and phosphate-containing organic molecules. Pi serves as the backbone of the nucleic acids that constitute genetic material and as the major repository of chemical energy for metabolism in polyphosphate bonds. Arsenic (As) lies directly below P on the periodic table and so the two elements share many chemical properties, although their chemistries are sufficiently dissimilar that As cannot directly replace P in modern biochemistry. Arsenic (...) is toxic because As and P are similar enough that organisms attempt this substitution. We hypothesize that ancient biochemical systems, analogous to but distinct from those known today, could have utilized arsenate in the equivalent biological role as phosphate. Organisms utilizing such ‘ weird life ’ biochemical pathways may have supported a ‘ shadow biosphere ’ at the time of the origin and early evolution of life on Earth or on other planets. Such organisms may even persist on Earth today, undetected, in unusual niches. (shrink)