Whether or not quantum physics can account for molecular structure is a matter of considerable controversy. Three of the problems raised in this regard are the problems of molecular structure. We argue that these problems are just special cases of the measurement problem of quantum mechanics: insofar as the measurement problem is solved, the problems of molecular structure are resolved as well. In addition, we explore one consequence of our argument: that claims about the reduction or emergence of molecular structure (...) cannot be settled independently of the choice of a particular resolution to the measurement problem. Specifically, we consider how three standard putative solutions to the measurement problem inform our under- standing of a molecule in isolation, as well as of chemistry’s relation to quantum physics. (shrink)

A polemical account of Australian philosophy up to 2003, emphasising its unique aspects (such as commitment to realism) and the connections between philosophers' views and their lives. Topics include early idealism, the dominance of John Anderson in Sydney, the Orr case, Catholic scholasticism, Melbourne Wittgensteinianism, philosophy of science, the Sydney disturbances of the 1970s, Francofeminism, environmental philosophy, the philosophy of law and Mabo, ethics and Peter Singer. Realist theories especially praised are David Armstrong's on universals, David Stove's on logical probability (...) and the ethical realism of Rai Gaita and Catholic philosophers. In addition to strict philosophy, the book treats non-religious moral traditions to train virtue, such as Freemasonry, civics education and the Greek and Roman classics. (shrink)

Mathematicians often speak of conjectures as being confirmed by evidence that falls short of proof. For their own conjectures, evidence justifies further work in looking for a proof. Those conjectures of mathematics that have long resisted proof, such as the Riemann hypothesis, have had to be considered in terms of the evidence for and against them. In recent decades, massive increases in computer power have permitted the gathering of huge amounts of numerical evidence, both for conjectures in pure mathematics and (...) for the behavior of complex applied mathematical models and statistical algorithms. Mathematics has therefore become (among other things) an experimental science (though that has not diminished the importance of proof in the traditional style). We examine how the evaluation of evidence for conjectures works in mathematical practice. We explain the (objective) Bayesian view of probability, which gives a theoretical framework for unifying evidence evaluation in science and law as well as in mathematics. Numerical evidence in mathematics is related to the problem of induction; the occurrence of straightforward inductive reasoning in the purely logical material of pure mathematics casts light on the nature of induction as well as of mathematical reasoning. (shrink)

Journal of Applied Philosophy, EarlyView.

Many philosophers of science are ontologically committed to a lush rainforest of special science entities ), but are often reticent about the criteria that determine which entities count as real. On the other hand, the metaphysics literature is much more forthcoming about such criteria, but often links ontological commitment to irreducibility. We argue that the irreducibility criteria are in tension with scientific realism: for example, they would exclude viruses, which are plausibly theoretically reducible and yet play a sufficiently important role (...) in scientific accounts of the world that they should be included in our ontology. In this paper, we show how the inhabitants of the rainforest can be inoculated against the eliminative threat of reduction: by demonstrating that they are emergent. According to our account, emergence involves a screening off condition as well as novelty. We go on to demonstrate that this account of emergence, which is compatible with theoretical reducibility, satisfies common intuitions concerning what should and shouldn't count as real: viruses are emergent, as are trouts and turkeys, but philosophically gerrymandered objects like trout-turkeys do not qualify. (shrink)

Comparative valuation of different policy interventions often requires interpersonal comparability of benefit. In the field of health economics, the metric commonly used for such comparison, quality adjusted life years (QALYs) gained, has been criticized for failing to respect the equality of all persons’ intrinsic worth, including particularly those with disabilities. A methodology is proposed that interprets ‘full quality of life’ as the best health prospect that is achievable for the particular individual within the relevant budget constraint. This calibration is challenging (...) both conceptually and operationally as it shifts dramatically when technology or budget developments alter what can be achieved for incapacitated individuals. The proposal nevertheless ensures that the maximal achievable satisfaction of one person’s preferences can carry no more intrinsic value than that of another. This approach, which can be applied to other domains of social valuation, thus prevents implicit discrimination against the elderly and those with irremediable incapacities. (shrink)

Explains Aristotle's views on the possibility of continuous variation between biological species. While the Porphyrean/Linnean classification of species by a tree suggests species are distributed discretely, Aristotle admitted continuous variation between species among lower life forms.

The interventionist account of causal explanation, in the version presented by Jim Woodward, has been recently claimed capable of buttressing the widely felt—though poorly understood—hunch that high-level, relatively abstract explanations, of the sort provided by sciences like biology, psychology and economics, are in some cases explanatorily optimal. It is the aim of this paper to show that this is mistaken. Due to a lack of effective constraints on the causal variables at the heart of the interventionist causal-explanatory scheme, as presently (...) formulated it is either unable to prefer high-level explanations to low, or systematically overshoots, recommending explanations at so high of a level as to be virtually vacuous. (shrink)

An Aristotelian Philosophy of Mathematics breaks the impasse between Platonist and nominalist views of mathematics. Neither a study of abstract objects nor a mere language or logic, mathematics is a science of real aspects of the world as much as biology is. For the first time, a philosophy of mathematics puts applied mathematics at the centre. Quantitative aspects of the world such as ratios of heights, and structural ones such as symmetry and continuity, are parts of the physical world and (...) are objects of mathematics. Though some mathematical structures such as infinities may be too big to be realized in fact, all of them are capable of being realized. Informed by the author's background in both philosophy and mathematics, but keeping to simple examples, the book shows how infant perception of patterns is extended by visualization and proof to the vast edifice of modern pure and applied mathematical knowledge. (shrink)

In 1947 Donald Cary Williams claimed in The Ground of Induction to have solved the Humean problem of induction, by means of an adaptation of reasoning first advanced by Bernoulli in 1713. Later on David Stove defended and improved upon Williams’ argument in The Rational- ity of Induction (1986). We call this proposed solution of induction the ‘Williams-Stove sampling thesis’. There has been no lack of objections raised to the sampling thesis, and it has not been widely accepted. In our (...) opinion, though, none of these objections has the slightest force, and, moreover, the sampling thesis is undoubtedly true. What we will argue in this paper is that one particular objection that has been raised on numerous occasions is misguided. This concerns the randomness of the sample on which the inductive extrapolation is based. (shrink)

Recent discussions of emergence in physics have focussed on the use of limiting relations, and often particularly on singular or asymptotic limits. We discuss a putative example of emergence that does not fit into this narrative: the case of phonons. These quasi-particles have some claim to be emergent, not least because the way in which they relate to the underlying crystal is almost precisely analogous to the way in which quantum particles relate to the underlying quantum field theory. But there (...) is no need to take a limit when moving from a crystal lattice based description to the phonon description. Not only does this demonstrate that we can have emergence without limits, but also provides a way of understanding cases that do involve limits. (shrink)

Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.

The influence that the meditations of Husserl's later years may have had on the younger generation is, as yet, difficult to assess. And it is, in fact, not important whether this question can or cannot be answered. Husserl, obviously, was not less sensitive to the problems arising from the intellectual and cultural situation as it developed around 1920, than were those who have emphatically made the Lebenswelt the primary object of their inquiries and the starting point for the reconstruction of (...) philosophy. (shrink)

Both realist and anti-realist accounts of natural kinds possess prima facie virtues: realists can straightforwardly make sense of the apparent objectivity of the natural kinds, and anti-realists, their knowability. This paper formulates a properly anti-realist account designed to capture both merits. In particular, it recommends understanding natural kinds as ‘categorical bottlenecks,’ those categories that not only best serve us, with our idiosyncratic aims and cognitive capacities, but also those of a wide range of alternative agents. By endorsing an ultimately subjective (...) categorical principle, this view sidesteps epistemological difficulties facing realist views. Yet, it nevertheless identifies natural kinds that are fairly, though not completely, stance-independent or objective. (shrink)

Among the factors necessary for the occurrence of some event, which of these are selectively highlighted in its explanation and labeled as causes — and which are explanatorily omitted, or relegated to the status of background conditions? Following J. S. Mill, most have thought that only a pragmatic answer to this question was possible. In this paper I suggest we understand this ‘causal selection problem’ in causal-explanatory terms, and propose that explanatory trade-offs between abstraction and stability can provide a principled (...) solution to it. After sketching that solution, it is applied to a few biological examples, including to a debate concerning the ‘causal democracy’ of organismal development, with an anti-democratic (though not a gene-centric) moral. (shrink)

In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive or (...) localized a faculty to register them. We defend the perception of necessity against such Humeanism, drawing on examples from mathematics. (shrink)

Philosophical discussions of species have focused on multicellular, sexual animals and have often neglected to consider unicellular organisms like bacteria. This article begins to fill this gap by considering what species concepts, if any, apply neatly to the bacterial world. First, I argue that the biological species concept cannot be applied to bacteria because of the variable rates of genetic transfer between populations, depending in part on which gene type is prioritized. Second, I present a critique of phylogenetic bacterial species, (...) arguing that phylogenetic bacterial classification requires a questionable metaphysical commitment to the existence of essential genes. I conclude by considering how microbiologists have dealt with these biological complexities by using more pragmatic and not exclusively evolutionary accounts of species. I argue that this pragmatism is not borne of laziness but rather of the substantial conceptual problems in classifying bacteria based on any evolutionary standard. (shrink)

Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the few (...) who have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeley and Hume. All of these assert not only that space and time might be atomic, but that they must be. Infinite divisibility is, they say, impossible on purely conceptual grounds. (shrink)

Future robots should have common sense about the world in order to handle the problems they will encounter. A large part of this commonsense knowledge must be naive physics knowledge, since carrying out even the simplest everyday chores requires familiarity with physics laws. But how should one start codifying this knowledge? What kind of skills should be elicited from the experts (each and every one of us)? This paper will attempt to provide some hints by studying the mental models of (...) force and motion. (shrink)

It is commonly claimed that the universality of critical phenomena is explained through particular applications of the renormalization group. This article has three aims: to clarify the structure of the explanation of universality, to discuss the physics of such RG explanations, and to examine the extent to which universality is thus explained. The derivation of critical exponents proceeds via a real-space or a field-theoretic approach to the RG. Building on work by Mainwood, this article argues that these approaches ought to (...) be distinguished: while the field-theoretic approach explains universality, the real-space approach fails to provide an adequate explanation. (shrink)

Syftet med denna studie är att undersöka hur sex stycken tillfrågade lärare för grundskolans lägre årskurser F-3 upplever sin undervisning kring läroplanens område sexualitet, samtycke och relationer. Studien utgår från Sandra Hardings genusteori samt Judith Butlers begrepp kring performativitet. Studien är tänkt att synliggöra hur lärare i de lägre årskurserna undervisar kring läroplanens område sexualitet, samtycke och relationer samt att lyfta hur undervisningen balanseras mellan kön och normer. -/- Resultatet av studien visar att det upplevs finnas svårigheter kring framför allt (...) ämnet sexualitet i läroplanens område sexualitet, samtycke och relationer där det framkommer en osäkerhet kring vad undervisningen förväntas innehålla samt den egna lärarens svårighet att veta hur ämnet ska anpassas till grundskolans lägre åldrar. Inte heller sexuella övergrepp och grooming lyfts av fler än två av de sex tillfrågade lärarna, något som inte svarar mot det eventuella behovet av sådan undervisningen med tanke på att forskning visar hur vanligt det är med sexuella övergrepp hos barn. -/- Studiens resultat visar också på att lärarna har ett väletablerat normkritiskt förhållningssätt där de aktivt reflekterar över sina egna normer och språkbruk för att inte förstärka normer i sin undervisning. I och med detta aktiva normkritiska förhållningssätt påvisade studien knappa svårigheter kring balansen mellan kön och normer i undervisningen inom området sexualitet, samtycke och relationer. Normerna kring genus uppfattades av de tillfrågade lärarna skapas utanför skolverksamheten. Eleverna upplevdes av lärarna att vara medvetna om normer hörande till de olika könen, vilket styrks av tidigare forskning där kulturella definitioner av manligt och kvinnligt påverkar barn även i yngre ålder. Resultatet av studien förklaras utifrån Hardings genusteori där lärarnas individuella normer kring genus, som är en produkt av hur de strukturella och symboliska normerna i samhället ser ut, kan ha en inverkan på hur de tolkar innehållet i läroplanens område sexualitet, samtycke och relationer. Det tolkas även utifrån Butlers begrepp om performativitet, att våra handlingar och ord skapar normer, där lärarna riskerar att påverka undervisningen i och med att undervisningen eventuellt kan föra vidare beteenden och normer som är påverkade av den individuella tolkningen av området. (shrink)

Just before the Scientific Revolution, there was a "Mathematical Revolution", heavily based on geometrical and machine diagrams. The "faculty of imagination" (now called scientific visualization) was developed to allow 3D understanding of planetary motion, human anatomy and the workings of machines. 1543 saw the publication of the heavily geometrical work of Copernicus and Vesalius, as well as the first Italian translation of Euclid.

In order to fulfil their essential roles as the bearers of truth and the relata of logical relations, propositions must be public and shareable. That requirement has favoured Platonist and other nonmental views of them, despite the well-known problems of Platonism in general. Views that propositions are mental entities have correspondingly fallen out of favour, as they have difficulty in explaining how propositions could have shareable, objective properties. We revive a mentalist view of propositions, inspired by Artificial Intelligence work on (...) perceptual algorithms, which shows how perception causes persistent mental entities with shareable properties that allow them to fulfil the traditional roles of (one core kind of) propositions. The clustering algorithms implemented in perception produce outputs which are (implicit) atomic propositions in different minds. Coordination of them across minds proceeds by game-theoretic processes of communication. The account does not rely on any unexplained notions such as mental content, representation, or correspondence (although those notions are applicable in philosophical analysis of the result). (shrink)

According to Quine’s indispensability argument, we ought to believe in just those mathematical entities that we quantify over in our best scientific theories. Quine’s criterion of ontological commitment is part of the standard indispensability argument. However, we suggest that a new indispensability argument can be run using Armstrong’s criterion of ontological commitment rather than Quine’s. According to Armstrong’s criterion, ‘to be is to be a truthmaker (or part of one)’. We supplement this criterion with our own brand of metaphysics, 'Aristotelian (...) (...) realism', in order to identify the truthmakers of mathematics. We consider in particular as a case study the indispensability to physics of real analysis (the theory of the real numbers). We conclude that it is possible to run an indispensability argument without Quinean baggage. (shrink)

Programs of drug testing welfare recipients are increasingly common in US states and have been considered elsewhere. Though often intensely debated, such programs are complicated to evaluate because their aims are ambiguous – aims like saving money may be in tension with aims like referring people to treatment. We assess such programs using a proportionality approach, which requires that for ethical acceptability a practice must be: reasonably likely to meet its aims, sufficiently important in purpose as to outweigh harms incurred, (...) and lower in costs than feasible alternatives. In the light of empirical findings, we argue that the programs fail the three requirements. Pursuing recreational drug users is not important in the light of costs incurred, while dependent users who may require referral are usually identifiable without testing and typically need a broader approach than one focussing on drugs. Drug testing of welfare recipients is therefore not ethically acceptable policy. (shrink)

This paper critiques the new mechanistic explanatory program on grounds that, even when applied to the kinds of examples that it was originally designed to treat, it does not distinguish correct explanations from those that blunder. First, I offer a systematization of the explanatory account, one according to which explanations are mechanistic models that satisfy three desiderata: they must 1) represent causal relations, 2) describe the proper parts, and 3) depict the system at the right ‘level.’ Second, I argue that (...) even the most developed attempts to fulfill these desiderata fall short by failing to appropriately constrain explanatorily apt mechanistic models. -/- *This paper used to be called "The Emperor's New Mechanisms". (shrink)

Effective quantum field theories are effective insofar as they apply within a prescribed range of length-scales, but within that range they predict and describe with extremely high accuracy and precision. The effectiveness of EFTs is explained by identifying the features—the scaling behaviour of the parameters—that lead to effectiveness. The explanation relies on distinguishing autonomy with respect to changes in microstates, from autonomy with respect to changes in microlaws, and relating these, respectively, to renormalizability and naturalness. It is claimed that the (...) effectiveness of EFTs is a consequence of each theory’s autonomyms rather than its autonomyml.1Introduction2Renormalizability2.1Explaining renormalizability3Naturalness3.1An unnatural but renormalizable theory4Two Kinds of Autonomy5The Effectiveness of Effective Quantum Field Theories6Conclusion. (shrink)

Modern philosophy of mathematics has been dominated by Platonism and nominalism, to the neglect of the Aristotelian realist option. Aristotelianism holds that mathematics studies certain real properties of the world – mathematics is neither about a disembodied world of “abstract objects”, as Platonism holds, nor it is merely a language of science, as nominalism holds. Aristotle’s theory that mathematics is the “science of quantity” is a good account of at least elementary mathematics: the ratio of two heights, for example, is (...) a perceivable and measurable real relation between properties of physical things, a relation that can be shared by the ratio of two weights or two time intervals. Ratios are an example of continuous quantity; discrete quantities, such as whole numbers, are also realised as relations between a heap and a unit-making universal. For example, the relation between foliage and being-a-leaf is the number of leaves on a tree,a relation that may equal the relation between a heap of shoes and being-a-shoe. Modern higher mathematics, however, deals with some real properties that are not naturally seen as quantity, so that the “science of quantity” theory of mathematics needs supplementation. Symmetry, topology and similar structural properties are studied by mathematics, but are about pattern, structure or arrangement rather than quantity. (shrink)

How were reliable predictions made before Pascal and Fermat's discovery of the mathematics of probability in 1654? What methods in law, science, commerce, philosophy, and logic helped us to get at the truth in cases where certainty was not attainable? The book examines how judges, witch inquisitors, and juries evaluated evidence; how scientists weighed reasons for and against scientific theories; and how merchants counted shipwrecks to determine insurance rates. Also included are the problem of induction before Hume, design arguments for (...) the existence of God, and theories on how to evaluate scientific and historical hypotheses. It is explained how Pascal and Fermat's work on chance arose out of legal thought on aleatory contracts. The book interprets pre-Pascalian unquantified probability in a generally objective Bayesian or logical probabilist sense. (shrink)

Was für eine Art von Beziehung ist die Erkenntnisbeziehung? Ihre geläufige Konzeption im Sinne einer linearen Subjekt-Objekt-Beziehung bildet so etwas wie den Boden, bzw. das logische Rückgrat der Erkenntnistheorie. Von ihr leiten sich weitestgehend die Annahmen, Vorstellungen und Begriffe her, in denen wir über Erkenntnis (als Tätigkeit und als Produkt) kommunizieren. Und insofern ist sie auf informelle oder explizite Weise auch ein Kernelement unserer Auffassung von Wissenschaft. Die Bezeichnung als 'logisches Rückgrat' der Erkenntnistheorie verweist dabei zugleich auf ihren heuristisch-funktionalen Zusammenhang (...) mit der zentralen Aufgabe der Erkenntnistheorie, nämlich der rationalen Rekonstruktion der Beziehung zwischen Inhalt und Gegenstand der Erkenntnis. Es ist diese Aufgabe, die den meta-wissenschaftlichen Status und Anspruch der Erkenntnistheorie begründet. Die genannte Konzeption widerspricht aber zugleich ganz grundlegend unserem Selbstverständnis als 'Teil der Natur' (d.h. als natürlicher Gegenstand unter den anderen Gegenständen der Erkenntnis), von dem auch die 'naturalistischen' Erkenntnistheorien ausgehen. Demnach ist der reale Boden der Erkenntnisreflexion grundsätzlich nicht als lineare Beziehung, sondern als holistische Situation zu begreifen. Das eröffnet einen Spielraum der Reflexion und Kritik, die letztlich zwingend zu einer Re-Konzeption der Erkenntnisbeziehung als eine holistische Erkenntnissituation führt, mit umfassenden logischen und konzeptuellen Konsequenzen für das Grundverständnis des Erkenntnisvorgangs, und in weiterer Folge auch für das Verständnis von Wissenschaft. (shrink)

Nearly all defences of the agent-causal theory of free will portray the theory as a distinctively libertarian one — a theory that only libertarians have reason to accept. According to what I call ‘the standard argument for the agent-causal theory of free will’, the reason to embrace agent-causal libertarianism is that libertarians can solve the problem of enhanced control only if they furnish agents with the agent-causal power. In this way it is assumed that there is only reason to accept (...) the agent-causal theory if there is reason to accept libertarianism. I aim to refute this claim. I will argue that the reasons we have for endorsing the agent-causal theory of free will are nonpartisan. The real reason for going agent-causal has nothing to do with determinism or indeterminism, but rather with avoiding reductionism about agency and the self. As we will see, if there is reason for libertarians to accept the agent-causal theory, there is just as much reason for compatibilists to accept it. It is in this sense that I contend that if anyone should be an agent-causalist, then everyone should be an agent-causalist. (shrink)

Blaming (construed broadly to include both blaming-attitudes and blaming-actions) is a puzzling phenomenon. Even when we grant that someone is blameworthy, we can still sensibly wonder whether we ought to blame him. We sometimes choose to forgive and show mercy, even when it is not asked for. We are naturally led to wonder why we shouldn’t always do this. Wouldn’t it be a better to wholly reject the punitive practices of blame, especially in light of their often undesirable effects, and (...) embrace an ethic of unrelenting forgiveness and mercy? In this paper I seek to address these questions by offering an account of blame that provides a rationale for thinking that to wholly forswear blaming blameworthy agents would be deeply mistaken. This is because, as I will argue, blaming is a way of valuing, it is “a mode of valuation.” I will argue that among the minimal standards of respect generated by valuable objects, notably persons, is the requirement to redress disvalue with blame. It is not just that blame is something additional we are required to do in properly valuing, but rather blame is part of what that it is to properly value. Blaming, given the existence of blameworthy agents, is mode of valuation required by the standards of minimal respect. To forswear blame would be to fail value what we ought to value. (shrink)

Dispostions, such as solubility, cannot be reduced to categorical properties, such as molecular structure, without some element of dipositionaity remaining. Democritus did not reduce all properties to the geometry of atoms - he had to retain the rigidity of the atoms, that is, their disposition not to change shape when a force is applied. So dispositions-not-to, like rigidity, cannot be eliminated. Neither can dispositions-to, like solubility.

The distinction between the discrete and the continuous lies at the heart of mathematics. Discrete mathematics (arithmetic, algebra, combinatorics, graph theory, cryptography, logic) has a set of concepts, techniques, and application areas largely distinct from continuous mathematics (traditional geometry, calculus, most of functional analysis, differential equations, topology). The interaction between the two – for example in computer models of continuous systems such as fluid flow – is a central issue in the applicable mathematics of the last hundred years. This article (...) explains the distinction and why it has proved to be one of the great organizing themes of mathematics. (shrink)

What is it about a person's becoming an adult that makes it generally inappropriate to treat that person paternalistically any longer? The Standard View holds that a mere difference in age or stage of life cannot in itself be morally relevant, but only matters insofar as it is correlated with the development of capacities for mature practical reasoning. This paper defends the contrary view: two people can have all the same general psychological attributes and yet the mere fact that one (...) person is at the beginning of a life and another in the middle of one can justify treating the younger person more paternalistically than the older one. Recognising the moral relevance of age, moreover, is crucial if one is to accommodate both the liberal moral ideal of respect for autonomy and our demanding educational aims, given that these otherwise come into conflict with one another. (shrink)

There is a wide range of realist but non-Platonist philosophies of mathematics—naturalist or Aristotelian realisms. Held by Aristotle and Mill, they played little part in twentieth century philosophy of mathematics but have been revived recently. They assimilate mathematics to the rest of science. They hold that mathematics is the science of X, where X is some observable feature of the (physical or other non-abstract) world. Choices for X include quantity, structure, pattern, complexity, relations. The article lays out and compares these (...) options, including their accounts of what X is, the examples supporting each theory, and the reasons for identifying the science of X with (most or all of) mathematics. Some comparison of the options is undertaken, but the main aim is to display the spectrum of viable alternatives to Platonism and nominalism. It is explained how these views answer Frege’s widely accepted argument that arithmetic cannot be about real features of the physical world, and arguments that such mathematical objects as large infinities and perfect geometrical figures cannot be physically realized. (shrink)

The universality of critical phenomena is best explained by appeal to the Renormalisation Group (RG). Batterman and Morrison, among others, have claimed that this explanation is irreducible. I argue that the RG account is reducible, but that the higher-level explanation ought not to be eliminated. I demonstrate that the key assumption on which the explanation relies – the scale invariance of critical systems – can be explained in lower-level terms; however, we should not replace the RG explanation with a bottom-up (...) account, rather we should acknowledge that the explanation appeals to dependencies which may be traced down to lower levels. (shrink)

Philosophy of science sees itself in the tradition of epistemology, whose epistemological paradigm it adopts and on which it is based, namely the subject-object model of cognition in conjunction with the idea of certainty of knowledge and the claim to the 'critical legitimation' of knowledge. On closer inspection, however, its own development turns out to be a deconstruction of the basic epistemological idea, namely the idea of certainty of knowledge. Without this, however, not only the adherence to the linear subject-object (...) model of cognition, but also the claim to the 'legitimation' of cognition loses its binding force. For philosophy of science this means the opportunity to rethink its own task, i.e. to take a step back from the claim of 'critical legitimation' of scientific knowledge to its unbiased reflection, starting from the real, holistic situation of cognition. It is only in this framework that the fundamental difference between the concepts of cognition, namely the object-related concept of metaphysics (to which epistemology also refers), and the transcendental, cross-referential concept of physics becomes epistemologically comprehensible. And the question also arises as to what our notion of cogniton and our epistemological ideas are all about. It will turn out that these are essentially based on an ontological premise, which in reality is gradually being undermined by physics. In other words, these epistemological ideas themselves are an obstacle to an adequate understanding of physics. (shrink)

In What Science Knows, the Australian philosopher and mathematician James Franklin explains in captivating and straightforward prose how science works its magic. It offers a semipopular introduction to an objective Bayesian/logical probabilist account of scientific reasoning, arguing that inductive reasoning is logically justified (though actually existing science sometimes falls short). Its account of mathematics is Aristotelian realist.

The logical interpretation of probability, or "objective Bayesianism'' – the theory that (some) probabilities are strictly logical degrees of partial implication – is defended. The main argument against it is that it requires the assignment of prior probabilities, and that any attempt to determine them by symmetry via a "principle of insufficient reason" inevitably leads to paradox. Three replies are advanced: that priors are imprecise or of little weight, so that disagreement about them does not matter, within limits; that it (...) is possible to distinguish reasonable from unreasonable priors on logical grounds; and that in real cases disagreement about priors can usually be explained by differences in the background information. It is argued also that proponents of alternative conceptions of probability, such as frequentists, Bayesians and Popperians, are unable to avoid committing themselves to the basic principles of logical probability. (shrink)

For two reasons, physics occupies a preeminent position among the sciences. On the one hand, due to its recognized position as a fundamental science, and on the other hand, due to the characteristic of its obvious certainty of knowledge. For both reasons it is regarded as the paradigm of scientificity par excellence. With its focus on the issue of epistemic certainty, philosophy of science follows in the footsteps of classical epistemology, and this is also the basis of its 'judicial' pretension (...) vis-à-vis physics. Whereas physics is in a strong competitive relationship to philosophy and epistemology with respect to its position as a fundamental science - even on the subject of cognition, as the pretension of 'reductionism' shows. It is the thematic focus on epistemic certainty itself, however, that becomes the root of a profound epistemological misunderstanding of physics. The reason for this is twofold: first, the idea of epistemic certainty as a criterion of 'demarcation' between physics and metaphysics obscures the view of the much deeper heuristic differences between the two kinds of knowledge. The second, related, reason is that epistemology does not ask the question of the reason for the epistemic certainty of physics; instead, it sets itself the task of 'legitimating' physical knowledge, and this, crucially, with reference to the interpretation of the process of cognition. Thus, as a matter of course, all epistemological assumptions about this process – including the common descriptive understanding of knowledge and its ontological premises – flow into the interpretation of physics as a science. Consequently, this undertaking is not only doubtful from the ground up, because it presupposes for its meaningfulness nothing less than certainty of knowledge concerning (the interpretation of) the process of knowledge, thereby relying on mere convictions; moreover, by projecting the descriptive, 'metaphysical' concept of knowledge onto physics, it leads to unsolvable epistemological problems and corresponding resignative conclusions concerning the claim of knowledge of physics. In other words, epistemology itself builds, due to its basic assumptions, a major obstacle for an adequate understanding of physics. Physics' cross-object, deconstructive approach to knowledge implies a completely different, non-descriptive understanding of its concepts, with consequences that extend far beyond itself due to its status as a basic science. (shrink)

The question of what ontological insights can be gained from the knowledge of physics (keyword: ontic structural realism) cannot obviously be separated from the view of physics as a science from an epistemological perspective. This is also visible in the debate about 'scientific realism'. This debate makes it evident, in the form of the importance of perception as a criterion for the assertion of existence in relation to the 'theoretical entities' of physics, that epistemology itself is 'ontologically laden'. This is (...) in the form of the assumption that things (or entities) in themselves exist as such and such determined ones (independent of cognition, autonomously). This ontological assumption is not only the basis of our naïve understanding of cognition, but also its indispensable premise, insofar as this understanding is a fundamentally passive, 'receptive' one. Accordingly, just as 'perception' is the foundation, ('objective') description is the aim of cognition, that which cognition is about. In this sense, our idea of cognition and our idea of the things are inseparably linked. Without the ontological premise mentioned we just would not know what cognition is, but it is basically just a kind of image that we have in our minds (an assumption that helps us understand 'cognition'). Epistemology not only shares this basic assumption (which it also shares with metaphysics), but it revolves (unlike metaphysics) entirely around it by making the idea and demand of 'certainty' a condition of 'real' knowledge. As 'certainty' is a subjective criterion this entails the 'remodelling' of the real, holistic cognitive situation (to which metaphysics adheres) into a linear subject-object-relation (which results in the strict 'transcendence' of the objects). And it also establishes, due to its 'expertise' in matters of cognition, the 'primacy of epistemology' over all other sciences. Now, on closer inspection, however, the expertise of epistemology seems not all that dependable, because it basically consists only of paradigms which, from the point of view of the holism of the real cognitive situation itself, are nothing more than relatively simplistic interpretations of this situation. However, we do not yet know what another conception of cognition might look like (which is not surprising given the high rank of the phenomenon of cognition in the hierarchy of phenomena according to their complexity). 'Certainty' as a criterion of cognition is thus excluded from the outset, and thus the linear relational model of cognition appears as what it is, a gross distortion of the real, holistic cognitive situation. The significance of this argumentation with regard to physics is that the linear epistemological model of cognition itself is a major obstacle to an adequate epistemological understanding of physics. This is because it is fixed 'a priori' to an object-related concept of cognition, and to 'description' as the only mode of ('real') cognition. But physics (without questioning our naïve notion of cognition on the level of epistemology) simply works past it and its basic assumptions. Its cognitive concept (alias heuristic) is fundamentally different from that of metaphysics. The acceptance of the real, holistic cognitive situation is, in my opinion, the condition for an adequate understanding of physics' heuristic access to objects, its transcendental, generalizing cognitive concept, as well as its ontological relevance and dimension of its own. (shrink)

Antitheodicy objects to all attempts to solve the problem of evil. Its objections are almost all on moral grounds—it argues that the whole project of theodicy is morally offensive. Trying to excuse God’s permission of evil is said to deny the reality of evil, to exhibit gross insensitivity to suffering, and to insult the victims of grave evils. Since antitheodicists urge the avoidance of theodicies for moral reasons, it is desirable to evaluate the moral reasons against theodicies in abstraction from (...) the intellectual reasons for and against them. It is argued that the best known theodicies such as those based on soul-making and free will are guilty of moral faults as alleged. But Leibniz’s best of all possible worlds theory, often thought to be the most morally offensive ‘Panglossian’ theodicy, is morally blameless because it excuses God by the absolute impossibility of his choosing any world better than the present one. Theodicy should not be conceived of as a search for greater goods which may excuse God’s permitting evils. From the divine point of view, creation is an upfront choice between scenarios—in modern parlance, a Trolley problem rather than a Transplant problem. In cases of forced choice among scenarios, it is morally improper to criticize one who chooses the best. (shrink)