Ecologist Richard Levins argues population biologists must trade‐off the generality, realism, and precision of their models since biological systems are complex and our limitations are severe. Steven Orzack and Elliott Sober argue that there are cases where these model properties cannot be varied independently of one another. If this is correct, then Levins's thesis that there is a necessary trade‐off between generality, precision, and realism in mathematical models in biology is false. I argue that Orzack and Sober's arguments fail since (...) Levins's thesis concerns the pragmatic features of model building not just the formal properties of models. (shrink)

In this essay, I argue for four related claims. First, Richard Levins’ classic “The Strategy of Model Building in Population Biology” was a statement and defense of theoretical population biology growing out of collaborations between Robert MacArthur, Richard Lewontin, E. O. Wilson, and others. Second, I argue that the essay served as a response to the rise of systems ecology especially as pioneered by Kenneth Watt. Third, the arguments offered by Levins against systems ecology and in favor of his own (...) methodological program are best construed as “pragmatic”. Fourth, I consider limitations of Levins’ arguments given contemporary population biology. (shrink)

Some ecologists have argued that theoretical model building in population and community ecology has gone evidentially unconstrained. In the essay, I argue that "bottle experiments" offer ecological model building evidential constraints and illustrate this by considering work on chaotic models tested by the dynamics of flour beetles. Critics reply that these experiments are importantly unlike nonmanipulated natural systems and thus do not constitute genuine tests of the models. I conclude by considering two responses to this worry and a suggestion on (...) how to move forward on this debate. (shrink)

Greg Cooper’s The Science of the Struggle for Existence is a must read for those interested in the history and philosophy of ecology and in topics like laws of nature, scientific explanation, and mathematical modeling. If you want to explore some of the metaphysical and methodological challenges that face ecology, there is no better place to go. Thus, this book marks an important moment in the philosophy of ecology. Folks like myself will be responding to it for quite a while. (...) What I find most appealing about the book is just how much there is to argue with. On every page there are interesting ideas presented but which are excitingly controversial. Some will argue with Cooper’s interpretation of the history of ecology. There are parts of the book that empiricists will balk at. You will not be left unstirred. Having said this, Cooper can be longwinded and while you read you should remember patience is a virtue. (shrink)

Sellars’s views on the Myth of the Given and the ontological status of secondary qualities, one would have thought, are well-known, even if not always well-understood. One would not have expected his Carus Lectures, then, to offer anything radically new and exciting. The ground that they cover is, after all, familiar—from “Empiricism and the Philosophy of Mind”, from “Philosophy and the Scientific Image of Man”, from “The Identity Approach to the Mind-Body Problem”, and from the ensuing debates with Cornman and (...) with Firth. One would not really have anticipated many surprises. But one would have been wrong. (shrink)

This volume contains essays dealing with complex relationships between Judaism and Christianity, taking a bold step, assuming that no historical period can be excluded from the interactive process between Judaism and Christianity, conscious or unconscious, as either rejection or appropriation.

Wilfrid Sellars' conclusion in "Empiricism and the Philosophy of Mind" that "the Given" is a "Myth" quickly elicited philosophical opposition and remains contentious fifty years later. William Alston has challenged that conclusion on several occasions by attempting to devise an acceptable account of perception committed to the givenness of perceived objects. His most recent challenge advances a "Theory of Appearing" which posits irreducible non-conceptual relations, ostensibly overlooked by Sellars, e.g., of "looking red", between the subject and the object perceived, that (...) can playa justificatory role vis-à-vis the corresponding beliefs, e.g., that the object is red. I argue that Alston undermines his positive plausibility arguments by first blurring and then ignoring crucial differencesamong various looks-concepts, and that his own putative "phenomenal" looks-concept demonstrably cannot play the justificatory role that he envisions for it. Both his critique of Sellars' arguments and his own alternative proposal thus fail on all fronts. (shrink)

Grelling’s Paradox is the paradox which results from considering whether heterologicality, the word-property which a designator has when and only when the designator does not bear the word-property it designates, is had by ‘ ȁ8heterologicality’. Although there has been some philosophical debate over its solution, Grelling’s Paradox is nearly uniformly treated as a variant of either the Liar Paradox or Russell’s Paradox, a paradox which does not present any philosophical challenges not already presented by the two better known paradoxes. The (...) aims of this paper are, first, to offer a precise formulation of Grelling’s Paradox which is clearly distinguished from both the Liar Paradox and Russell’s Paradox; second, to offer a solution to Grelling’s Paradox which both resolves the paradoxical reasoning and accounts for unproblematic predications of heterologicality; and, third, to argue that there are two lessons to be drawn from Grelling’s Paradox which have not yet been drawn from the Liar or Russell’s Paradox. The first lesson is that it is possible for the semantic content of a predicate to be sensitive to the semantic context; i.e., it is possible for a predicate to be an indexical expression. The second lesson is that the semantic content of an indexical predicate, though unproblematic for many cases, can nevertheless be problematic in some cases. (shrink)

During his atomistic period, Russell felt compelled to include negative facts in his ontology. In this essay, I diagnose the grounds of that compulsion, Assess the cogency of an ontology which includes negative facts, And, Finding it inadequate, Consider finally alternative solutions within the atomistic framework to the root problems of negation.

Ecologists attempt to understand the diversity of life with mathematical models. Often, mathematical models contain simplifying idealizations designed to cope with the blooming, buzzing confusion of the natural world. This strategy frequently issues in models whose predictions are inaccurate. Critics of theoretical ecology argue that only predictively accurate models are successful and contribute to the applied work of conservation biologists. Hence, they think that much of the mathematical work of ecologists is poor science. Against this view, I argue that model (...) building is successful even when models are predictively inaccurate for at least three reasons: models allow scientists to explore the possible behaviors of ecological systems; models give scientists simplified means by which they can investigate more complex systems by determining how the more complex system deviates from the simpler model; and models give scientists conceptual frameworks through which they can conduct experiments and fieldwork. Critics often mistake the purposes of model building, and once we recognize this, we can see their complaints are unjustified. Even though models in ecology are not always accurate in their assumptions and predictions, they still contribute to successful science. (shrink)

These essays take up contemporary debates concerning the rationality of legal and political institutions. Roberto Unger proposes a "politics of modernism"--a politics appropriate to the historical experience that Nietzsche calls "nihilism" and identifies as the re-grounding of all values in human will. Unger's aim is to heighten the artificiality, plasticity or revisability of all social arrangements, so that the self may perpetually overcome its context. But such an attempt to give the idea of self-overcoming a political translation threatens to be (...) devoid of any content beyond the reiterated assertion of the will. Wittgenstein's remarks on rule-following give voice to an anxiety that recurs in contemporary legal culture: Can a rule--in words that H. L. A. Hart once used--"step forward to claim its own instances"? Wittgenstein does not deny that it can, but he wishes to call attention to our captivation by a picture of a "rule by itself," according to which this "stepping forward" seems queer in light of an otherwise unbridgeable gap between a rule and its application. In the grip of such a picture, it becomes tempting to think that the normative demand of a rule must be activated by an interpretation. Such a thought leads not only to philosophical perplexity, but to failures of justification in the court-room. To make sense of Aristotle's notion of corrective justice, we need the idea that a judgment can be genuinely in accord with a universal even though the content of the universal cannot be completely spelled out in detachment from the concrete situations to which it is applied. It is plausible to see much of contemporary tort law as a specification of corrective justice. But attempts to supply corrective justice with a consequentialist foundation are unable to account for the significance of wrongful agency in tort law, while attempts to supply it with a deontological foundation are unable to account for the significance of the tort victim's loss. (shrink)

How might we usefully apply concepts and procedures derived from the study of other complex dynamical systems to analyzing systemic change in education? In this article we begin to define possible agendas for research toward developing systematic frameworks and shared terminology for such a project. We illustrate the plausibility of defining such frameworks and raise the question of the relation between such frameworks and the crucial task of aggregating data across ‘systemic experiments’, such as those conducted under the Urban Systemic (...) Initiative sponsored by the US National Science Foundation. Our discussion includes a review of key issues identified by groups of researchers regarding Defining the System, Structural Analysis, Relationships Among Subsystems and Levels, Drivers for Change, and Modeling Methods. (shrink)

The argument of Kant's Second Analogy provides only for causal connections between successive appearances, but, as Kant himself immediately notes, in many cases cause and effect are simultaneous. This essay examines Kant's solution to the resulting problem of simultaneous causation. I argue that there are, in fact, at least two distinct problems falling together under the rubric 'simultaneous causation', both reflecting significant features of paradigmatic causal-explanatory scenarios within Newtonian mechanics - a problem about the 'persisting simultaneity' of a continuous or (...) sustaining cause with its effect, and a problem about the 'instantaneous simultaneity' of what Kant calls the causality of a cause with the onset of its effect. An exploration of the ingenious conceptual resources which Kant brings to bear on these problems turns out to yield interesting and important insights regarding his philosophy of mathematics as well. (shrink)

I forgive the slight spin of sloganeering conveyed by the motto so frequently cited by proponents of a cosmos chock full of organisms: "Life will fed a way." Life is resilient and quite capable (especially in bacterial form) of living in the most damnably improbable places-from nearly boiling ponds in Yellowstone National Park to tiny pores in rocks as deep as two miles below the earth's surface. But even this degree of resilience must work within limits; if life ever evolved (...) on the Martian surface during its initial billion years with running water, the planet's later desiccation probably extinguished our solar system's second experiment in advanced carbon chemistry. (shrink)

Most people believe that killing someone, while generally morally wrong, can in some cases be a permissible act. Most people similarly believe that war, while awful, can be justified. This book addresses both subjects as equal parts in a larger meditation on the ethics of harm and moral responsibility—whether in war collectively or in individual cases of self-defense—and whatever it is that lies in between the two. The book sets out by examining the moral justification for individual defensive killing and (...) then tests its application to collective war as a natural outgrowth of the former. In seeking sincere answers to these morally vexing questions, it offers a novel theory of liability attribution based upon evidence-relative norms: we should only be held morally responsible for what we could possibly know is wrong based on the evidence before us. In developing this theory of liability as it applies to war, Bounds of Defense also gives a robust apologia of what has been called as “revisionist” just war theory and charts a neo-liberal basis for just war theory grounded on the value of individual autonomy along the way. The entire book is an earnest attempt to take individual rights and responsibilities seriously in our thinking over killing and the horrors of war. (shrink)

Christopher D. Stone has claimed that natural objects can and should have rights. I accept Stone’s premise that the possession of rights is tied to the possession of interests; however, I argue that the concept of a natural object needs a more careful analysis than is given by Stone. Not everything that Stone calls a natural object is an object “naturally.” Some must be taken as artificial rather than as natural. Thistype of object cannot be said to have intrinsic interests (...) and hence cannot be given rights that can protect “its own sake”-which is the sort of right that Stone focuses on. Further, there are other sorts of natural objects which, although they are objects “naturally,” cannot meaningfully be said to have intrinsic interests, and thus cannot have the sorts of rights that Stone is concerned with. Finally, there are other sorts of natural objects which are objects naturally and which have intrinsic interests, but which are not proper candidates for the possession of rights. The prerequisites for being “owed” rights are the possession of intrinsic interests and the capability to suffer when those interests are interfered with or denied or threatened. (shrink)

Traditional combinatory logic uses combinators S and K to represent all Turing-computable functions on natural numbers, but there are Turing-computable functions on the combinators themselves that cannot be so represented, because they access internal structure in ways that S and K cannot. Much of this expressive power is captured by adding a factorisation combinator F. The resulting SF-calculus is structure complete, in that it supports all pattern-matching functions whose patterns are in normal form, including a function that decides structural equality (...) of arbitrary normal forms. A general characterisation of the structure complete, confluent combinatory calculi is given along with some examples. These are able to represent all their Turing-computable functions whose domain is limited to normal forms. The combinator F can be typed using an existential type to represent internal type information. (shrink)

he landscape of every career contains a few crevasses, and usually a more extensive valley or two—for every Ruth's bat a Buckner's legs; for every lopsided victory at Agincourt, a bloodbath at Antietam. Darwin's Origin of Species contains some wonderful insights and magnificent lines, but this masterpiece also includes a few notable clunkers. Darwin experienced most embarrassment from the following passage, curtailed and largely expunged from later editions of his book: In North America the black bear was seen by Hearne (...) swimming for hours with widely open mouth, thus catching, like a whale, insects in the water. Even in so extreme a case as this, if the supply of insects were constant, and if better adapted competitors did not already exist in the country, I can see no difficulty in a race of bears being rendered, by natural selection, more aquatic in their structure and habits, with larger and larger mouths, till a creature was produced as monstrous as a whale. Why did Darwin become so chagrined about this passage? His hypothetical tale may be pure speculation and conjecture, but the scenario is not entirely absurd. Darwin's discomfort arose, I think, from his failure to follow a scientific norm of a more sociocultural nature. Scientific conclusions supposedly rest upon facts and information. Speculation is not entirely taboo, and may sometimes be necessary faute de mieux. But when scientists propose truly novel and comprehensive theories—as Darwin tried to do in advancing natural selection as the primary mechanism of evolution—they need particularly good support, and invented hypothetical cases just don't supply sufficient confidence for crucial conclusions. (shrink)