We consider the following problem for various infinite-time machines. If a real is computable relative to a large set of oracles such as a set of full measure or just of positive measure, a comeager set, or a nonmeager Borel set, is it already computable? We show that the answer is independent of ZFC for ordinal Turing machines with and without ordinal parameters and give a positive answer for most other machines. For instance, we consider infinite-time Turing machines, unresetting and (...) resetting infinite-time register machines, and α-Turing machines for countable admissible ordinals α. (shrink)

Phenotypic Evolution explicitly recognizes organisms as complex genetic-epigenetic systems developing in response to changing internal and external environments. As a key to a better understanding of how phenotypes evolve, the authors have developed a framework that centers on the concept of the Developmental Reaction Norm. This encompasses their views: (1) that organisms are better considered as integrated units than as disconnected parts (allometry and phenotypic integration); (2) that an understanding of ontogeny is vital for evaluating evolution of adult forms (ontogenetic (...) trajectories, epigenetics, and constraints); and (3) that environmental heterogeneity is ubiquitous and must be acknowledged for its pervasive role in phenotypic expression. (shrink)

We introduce and study some variants of a notion of canonical set theoretical truth. By this, we mean truth in a transitive proper class model M of ZFC that is uniquely characterized by some $$\in$$ ∈ -formula. We show that there are interesting statements that hold in all such models, but do not follow from ZFC, such as the ground model axiom and the nonexistence of measurable cardinals. We also study a related concept in which we only require M to (...) be fixed up to elementary equivalence. We show that this theory-canonicity also goes beyond provability in ZFC, but it does not rule out measurable cardinals and it does not fix the size of the continuum. (shrink)

We study randomness beyond${\rm{\Pi }}_1^1$-randomness and its Martin-Löf type variant, which was introduced in [16] and further studied in [3]. Here we focus on a class strictly between${\rm{\Pi }}_1^1$and${\rm{\Sigma }}_2^1$that is given by the infinite time Turing machines introduced by Hamkins and Kidder. The main results show that the randomness notions associated with this class have several desirable properties, which resemble those of classical random notions such as Martin-Löf randomness and randomness notions defined via effective descriptive set theory such as${\rm{\Pi (...) }}_1^1$-randomness. For instance, mutual randoms do not share information and a version of van Lambalgen’s theorem holds.Towards these results, we prove the following analogue to a theorem of Sacks. If a real is infinite time Turing computable relative to all reals in some given set of reals with positive Lebesgue measure, then it is already infinite time Turing computable. As a technical tool towards this result, we prove facts of independent interest about random forcing over increasing unions of admissible sets, which allow efficient proofs of some classical results about hyperarithmetic sets. (shrink)

A response to Via about the existence (or not) and role of plasticity genes in evolution.

In addition to considerable debate in the recent evolutionary literature about the limits of the Modern Synthesis of the 1930s and 1940s, there has also been theoretical and empirical interest in a variety of new and not so new concepts such as phenotypic plasticity, genetic assimilation and phenotypic accommodation. Here we consider examples of the arguments and counter- arguments that have shaped this discussion. We suggest that much of the controversy hinges on several misunderstandings, including unwarranted fears of a general (...) attempt at overthrowing the Modern Synthesis paradigm, and some fundamental conceptual confusion about the proper roles of phenotypic plasticity and natural selection within evolutionary theory. (shrink)

A discussion of plasticity genes and the genetic architecture of gene-environment interactions.

How micro- and macroevolutionary evolutionary processes produce phenotypic change is without question one of the most intriguing and perplexing issues facing evolutionary biologists. We believe that roadblocks to progress lie A) in the underestimation of the role of the environment, and in particular, that of the interaction of genotypes with environmental factors, and B) in the continuing lack of incorporation of development into the evolutionary synthesis. We propose the integration of genetic, environmental and developmental perspectives on the evolution of the (...) phenotype in the form of the concept of the developmental reaction norm (DRN) The DRN represents the set of multivariate ontogenies that can be produced by a single genotype when it is exposed to environmental variation. It encompasses: 1) the processes that alter the phenotype throughout the ontogenetic trajectory, 2) the recognition that different aspects of the phenotype are (and must be) correlated and 3) the ability of a genotype to produce phenotypes in different environments. This perspective necessitates the explicit study of character expression during development, the evaluation of associations between pairs or groups of characters (e.g., multivariate allometries), and the exploration of reaction norms and phenotypic plasticity. We explicitly extend the concept of the DRN to encompass adjustments made in response to changes in the internal environment as well. Thus, ‘typical’ developmental sequences (e.g., cell fate determination) and plastic responses are simply manifestations of different scales of ‘environmental’ effects along a continuum. We present: (1) a brief conceptual review of three fundamental aspects of the generation and evolution of phenotypes: the changes in the trajectories describing growth and differentiation (ontogeny), the multivariate relationships among characters (allometry), and the effect of the environment (plasticity); (2) a discussion of how these components are merged in the concept of the developmental reaction norm; and (3) a reaction norm perspective of major determinants of phenotypes: epigenesis, selection and constraint. (shrink)

During the last two decades the role of quantitative genetics in evolutionary theory has expanded considerably. Quantitative genetic-based models addressing long term phenotypic evolution, evolution in multiple environments (phenotypic plasticity) and evolution of ontogenies (developmental trajectories) have been proposed. Yet, the mathematical foundations of quantitative genetics were laid with a very different set of problems in mind (mostly the prediction of short term responses to artificial selection), and at a time in which any details of the genetic machinery were virtually (...) unknown. In this paper we discuss what a model is in population biology, and what kind of model we need in order to address the complexities of phenotypic evolution. We review the assumptions of quantitative genetics and its most recent accomplishments, together with the limitations that such assumptions impose on the modelling of some aspects of phenotypic evolution. We also discuss three alternative appr oaches to the theoretical description of evolutionary trajectories (nonlinear dynamics, complexity theory and optimization theory), and their respective advantages and limitations. We conclude by calling for a new theoretical synthesis, including quantitative genetics and not necessarily limited to the other approaches here discussed. (shrink)

An exploration of the nexus between ecology, evolutionary biology and molecular biology, via the concept of phenotypic plasticity.

Carl Craver investigates what we are doing when we sue neuroscience to explain what's going on in the brain.

In the debate about the nature of social cognition we see a shift towards theories that explain social understanding through interaction. This paper discusses autopoietic enactivism and the we-mode approach in the light of such developments. We argue that a problem seems to arise for these theories: an interactionist account of social cognition makes the capacity of shared intentionality a presupposition of social understanding, while the capacity of engaging in scenes of shared intentionality in turn presupposes exactly the kind of (...) social understanding that it is intended to explain. The social capacity in question that is presupposed by these accounts is then analyzed in the second section via a discussion and further development of Searle’s ‘sense of us’ and ‘sense of the other’ as a precondition for social cognition and joint action. After a critical discussion of Schmid’s recent proposal to analyze this in terms of plural pre-reflective selfawareness, we develop an alternative account. Starting from the idea that infants distinguish in perception between physical objects and other agents we distinguish between affordances and social affordances and cash out the notion of a social affordance in terms of “interaction-oriented representations”, parallel to the analysis of object affordances in terms of “action-oriented representations”. By characterizing their respective features we demonstrate how this approach can solve the problem formulated in the first part. (shrink)

Carl F. Craver investigates what we are doing when we use neuroscience to explain what's going on in the brain. When does an explanation succeed and when does it fail? Craver offers explicit standards for successful explanation of the workings of the brain, on the basis of a systematic view about what neuroscientific explanations are.

This paper presents arguments from empirical research and from philosophical considerations to the effect that phenomenality and content are two distinct and independent features of mental representations, which are both relational. Thus, it is argued, classical arguments that infer phenomenality from content have to be rejected. Likewise, theories that try to explain the phenomenal character of experiences by appeal to specific types of content cannot succeed. Instead, a dynamic view of consciousness has to be adopted that seeks to explain consciousness (...) by certain ways of processing representations. Therefore, only empirical methods that are able to investigate the dynamics of the mind can be used for the “quest for consciousness” proper. Moreover, the central intuitions about consciousness are best explained when phenomenality and content are clearly distinguished. (shrink)

Under what conditions are people responsible for their choices and the outcomes of those choices? How could such conditions be fostered by liberal societies? Should what people are due as a matter of justice depend on what they are responsible for? For example, how far should healthcare provision depend on patients' past choices? What values would be realized and which hampered by making justice sensitive to responsibility? Would it give people what they deserve? Would it advance or hinder equality? The (...) explosion of philosophical interest in such questions has been fuelled by increased focus on individual responsibility in political debates. Political philosophers, especially egalitarians, have responded to such developments by attempting to map out the proper place for responsibility in theories of justice. This book both reflects on these recent developments in normative political theory and moves the debate forwards. (shrink)

Dieser Beitrag nimmt als Ausganspunkt die gegenwärtige kontroverse Debatte um den adäquaten Erklärungsansatz in der Kognitionswissenschaft, und zwar zwischen Enaktivisten einerseits und Repräsentationalisten andererseits. Beispielhaft wurde aufgezeigt, dass in Bezug auf die soziale Kognition der enaktivistische Ansatz eine Voraussetzung machen muss, die er mit seinen eigenen Mitteln nicht einzufangen in der Lage ist. Denn der Versuch, das Verstehen des Anderen durch gemeinsame Sinnstiftung der Akteure innerhalb ihrer sozialen Interaktion zu erklären, gerät in einen Zirkel, da nicht erklärt wird, wie die (...) Kopplung und damit der Prozess der sozialen Interaktion allererst zustande kommen kann. Als Lösung dieses Problems wird eine repräsentationalistische Analyse der vorausgesetzten Fähigkeit, andere als potentielle Kooperationspartner anzusehen, entwickelt, und zwar mit den Mitteln von Millikans Teleosemantik. Diese Theorie aus dem Kontext der Debatte um die Naturalisierung mentaler Repräsentationen liefert mit den PP Repräsentationen den adäquaten Begriff, um sowohl verkörperte, handlungsorientierte Repräsentationen zur Analyse von Affordanzen, als auch verkörperte interaktionsorientierte Repräsentationen zur Analyse sozialer Affordanzen zu entwickeln. Dies erlaubt die Annahme einer zentralen Funktion für die soziale Wahrnehmung, die den blinden Fleck des enaktivistischen Ansatzes ausfüllen kann. Zugleich demonstriert diese Analyse der sozialen Wahrnehmung die explanatorische Überlegenheit (minimal) repräsentationalistischer Erklärungen gegenüber rein enaktivistischen Alternativen. (shrink)

One of the most significant political philosophers of the twentieth century, Carl Schmitt is a deeply controversial figure who has been labeled both Nazi sympathizer and modern-day Thomas Hobbes. First published in 1938, The Leviathan in the State Theory of Thomas Hobbes used the Enlightenment philosopher’s enduring symbol of the protective Leviathan to address the nature of modern statehood. A work that predicted the demise of the Third Reich and that still holds relevance in today’s security-obsessed society, this volume (...) will be essential reading for students and scholars of political science. “Carl Schmitt is surely the most controversial German political and legal philosopher of this century. . . . We deal with Schmitt, against all odds, because history stubbornly persists in proving many of his tenets right.”— Perspectives on Political Science “[A] significant contribution. . . . The relation between Hobbes and Schmitt is one of the most important questions surrounding Schmitt: it includes a distinct, though occasionally vacillating, personal identification as well as an association of ideas.”— Telos. (shrink)

In this paper I argue against one variety of contextualism about aesthetic predicates such as “beautiful.” Contextualist analyses of these and other predicates have been subject to several challenges surrounding disagreement. Focusing on one kind of contextualism— individualized indexical contextualism —I unpack these various challenges and consider the responses available to the contextualist. The three responses I consider are as follows: giving an alternative analysis of the concept of disagreement ; claiming that speakers suffer from semantic blindness; and claiming that (...) attributions of beauty carry presuppositions of commonality. I will argue that none of the available strategies gives a response which both satisfactorily explains all of the disagreement -data and is plausible independent of significant evidence in favor of contextualism. I conclude that individualized indexical contextualism about the aesthetic is untenable, although this does not rule out alternative contextualist approaches to the aesthetic. (shrink)

Traces the development of the integral and the differential calculus and related theories since ancient times.

This collection of articles and associated discussion papers focuses on a problem that has attracted increasing attention from linguists and psychologists throughout the world during the past several years. Reduced to essentials, the problem is that of discovering the character of the mental capacities that make it possible for human beings to attain knowledge of their language on the basis of fragmentary and haphazard early linguistic experience. A fundamental assumption running through all of these contributions is that people possess strong (...) innate predispositions that are critical for success in this task. (shrink)

The papers in this special issue make important contributions to a longstanding debate about how we should conceive of and explain mental phenomena. In other words, they make a case about the best philosophical paradigm for cognitive science. The two main competing approaches, hotly debated for several decades, are representationalism and enactivism. However, recent developments in disciplines such as machine learning and computational neuroscience have fostered a proliferation of intermediate approaches, leading to the emergence of completely new positions, in particular (...) the Predictive Processing approach. Here, we will consider the different approaches discussed in this volume. (shrink)

According to one large family of views, scientific explanations explain a phenomenon (such as an event or a regularity) by subsuming it under a general representation, model, prototype, or schema (see Bechtel, W., & Abrahamsen, A. (2005). Explanation: A mechanist alternative. Studies in History and Philosophy of Biological and Biomedical Sciences, 36(2), 421–441; Churchland, P. M. (1989). A neurocomputational perspective: The nature of mind and the structure of science. Cambridge: MIT Press; Darden (2006); Hempel, C. G. (1965). Aspects of scientific (...) explanation. In C. G. Hempel (Ed.), Aspects of scientific explanation (pp. 331–496). New York: Free Press; Kitcher (1989); Machamer, P., Darden, L., & Craver, C. F. (2000). Thinking about mechanisms. Philosophy of Science, 67(1), 1–25). My concern is with the minimal suggestion that an adequate philosophical theory of scientific explanation can limit its attention to the format or structure with which theories are represented. The representational subsumption view is a plausible hypothesis about the psychology of understanding. It is also a plausible claim about how scientists present their knowledge to the world. However, one cannot address the central questions for a philosophical theory of scientific explanation without turning one’s attention from the structure of representations to the basic commitments about the worldly structures that plausibly count as explanatory. A philosophical theory of scientific explanation should achieve two goals. The first is explanatory demarcation. It should show how explanation relates with other scientific achievements, such as control, description, measurement, prediction, and taxonomy. The second is explanatory normativity. It should say when putative explanations succeed and fail. One cannot achieve these goals without undertaking commitments about the kinds of ontic structures that plausibly count as explanatory. Representations convey explanatory information about a phenomenon when and only when they describe the ontic explanations for those phenomena. (shrink)

This article re-examines Ned Block‘s ( 1997 , 2007 ) conceptual distinction between phenomenal consciousness and access consciousness. His argument that we can have phenomenally conscious representations without being able to cognitively access them is criticized as not being supported by evidence. Instead, an alternative interpretation of the relevant empirical data is offered which leaves the link between phenomenology and accessibility intact. Moreover, it is shown that Block’s claim that phenomenology and accessibility have different neural substrates is highly problematic in (...) light of empirical evidence. Finally, his claim that there can be phenomenology without cognitive accessibility is at odds with his endorsement of the 'same-order-theory' of consciousness. (shrink)

We discuss various implications of some radical anti-representationalist views of cognition and what they have to offer with regard to the naturalization of intentionality and the explanation of cognitive phenomena. Our focus is on recent arguments from proponents of enactive views of cognition to the effect that basic cognition is intentional but not representational and that cognition is co-extensive with life. We focus on lower rather than higher forms of cognition, namely the question regarding the intentional and representational nature of (...) cognition found in organisms simpler than human beings, because enactivists do not deny that more sophisticated cognitive phenomena are representational and involve content. After introducing the debate on the naturalization of intentionality, we briefly review different varieties of enactivism and introduce their central claims. In Sect. 4 we turn to radical enactivism in order to focus on the arguments for a thoroughly non-representational, enactive account of perception and basic cognition. In particular, we discuss three major issues: First, what is supposed to replace the representational analysis of perception in a radical-enactive explanation of perception? How does the enactive explanation of perception compare to the best scientific work on the neuroscience of perception? Second, what is—on an enactive account—the function of neural processing in the brain for the generation of perception if not to produce representations? This question is especially pressing since one implication of autopoietic enactivism is that even the simplest organisms, i.e. single-celled organisms, have cognitive capacities. Since they lack brains and nervous systems, enactivists must specify the unique contribution of the brain and nervous system in those animals who have them. In Sect. 5, we evaluate the advantages of an autopoietic–enactive approach to the naturalization of intentionality and end with a suggestion how cognition may relate to intentionality and representation. (shrink)

Introduction to the topical collection "The Structure of Perceptual Objects"—with contributions by Mohan Matthen, EJ Green, Alisa Mandrigin, Blazej Skrzypulec, and Anna Drożdżowicz.

We prove that various classical tree forcings—for instance Sacks forcing, Mathias forcing, Laver forcing, Miller forcing and Silver forcing—preserve the statement that every real has a sharp and hence analytic determinacy. We then lift this result via methods of inner model theory to obtain level-by-level preservation of projective determinacy (PD). Assuming PD, we further prove that projective generic absoluteness holds and no new equivalence classes are added to thin projective transitive relations by these forcings.

Here a distinguished American historian challenges the belief that the eighteenth century was essentially modern in its temper. In crystalline prose Carl Becker demonstrates that the period commonly described as the Age of Reason was, in fact, very far from that; that Voltaire, Hume, Diderot, and Locke were living in a medieval world, and that these philosophers “demolished the Heavenly City of St. Augustine only to rebuild it with more up-to-date materials.” In a new foreword, Johnson Kent Wright looks (...) at the book’s continuing relevance within the context of current discussion about the Enlightenment. “Will remain a classic—a beautifully finished literary product.”—Charles A. Beard, _American Historical Review_ “_The Heavenly City of the Eighteenth-Century Philosophers _remains_ _one of the most distinctive American contributions to the historical literature on the Enlightenment.... [It] is likely to beguile and provoke readers for a long time to come.”—Johnson Kent Wright, from the foreword. (shrink)

We argue that intelligible appeals to interlevel causes (top-down and bottom-up) can be understood, without remainder, as appeals to mechanistically mediated effects. Mechanistically mediated effects are hybrids of causal and constitutive relations, where the causal relations are exclusively intralevel. The idea of causation would have to stretch to the breaking point to accommodate interlevel causes. The notion of a mechanistically mediated effect is preferable because it can do all of the required work without appealing to mysterious interlevel causes. When interlevel (...) causes can be translated into mechanistically mediated effects, the posited relationship is intelligible and should raise no special philosophical objections. When they cannot, they are suspect. (shrink)

This paper develops a theory of how democratic governance is possible. It analyses democracy as a laminated system consisting of three interdependent levels – the political/institutional, the socia...

Not all models are explanatory. Some models are data summaries. Some models sketch explanations but leave crucial details unspecified or hidden behind filler terms. Some models are used to conjecture a how-possibly explanation without regard to whether it is a how-actually explanation. I use the Hodgkin and Huxley model of the action potential to illustrate these ways that models can be useful without explaining. I then use the subsequent development of the explanation of the action potential to show what is (...) required of an adequate mechanistic model. Mechanistic models are explanatory. (shrink)

Abstract The subjectivity of conscious experience is a central feature of our mental life that puzzles philosophers of mind. Conscious mental representations are presented to me as mine, others remain unconscious. How can we make sense of the difference between them? Some representationalists (e.g. Tye) attempt to explain it in terms of non-conceptual intentional content, i.e. content for which one need not possess the relevant concept required in order to describe it. Hanna claims that Kant purports to explain the subjectivity (...) of conscious experience in this way. This paper examines this claim in some detail in the context of a more general criticism of this kind of attempt to explain subjectivity and proposes a different reading of Kant that also leads to an alternative account of subjectivity independent from content. (shrink)

What exactly do we do when we try to make sense of other people e.g. by ascribing mental states like beliefs and desires to them? After a short criticism of Theory-Theory, Interaction Theory and the Narrative Theory of understanding others as well as an extended criticism of the Simulation Theory in Goldman's recent version (2006), we suggest an alternative approach: the Person Model Theory . Person models are the basis for our ability to register and evaluate persons having mental as (...) well as physical properties. We argue that there are two kinds of person models, nonconceptual person schemata and conceptual person images , and both types of models can be developed for individuals as well as for groups. (shrink)

Some philosophers writing on the possibility of faultless disagreement have argued that the only way to account for the intuition that there could be disagreements which are faultless in every sense is to accept a relativistic semantics. In this article we demonstrate that this view is mistaken by constructing an absolutist semantics for a particular domain – aesthetic discourse – which allows for the possibility of genuinely faultless disagreements. We argue that this position is an improvement over previous absolutist responses (...) to the relativist's challenge and that it presents an independently plausible account of the semantics of aesthetic discourse. (shrink)

Many areas of science develop by discovering mechanisms and role functions. Cummins' (1975) analysis of role functions-according to which an item's role function is a capacity of that item that appears in an analytic explanation of the capacity of some containing system-captures one important sense of "function" in the biological sciences and elsewhere. Here I synthesize Cummins' account with recent work on mechanisms and causal/mechanical explanation. The synthesis produces an analysis of specifically mechanistic role functions, one that uses the characteristic (...) active, spatial, temporal, and hierarchical organization of mechanisms to add precision and content to Cummins' original suggestion. This synthesis also shows why the discovery of role functions is a scientific achievement. Discovering a role function (i) contributes to the interlevel integration of multilevel mechanisms, and (ii) provides a unique, contextual variety of causal/mechanical explanation. (shrink)

Jung has never pursued the "psychology of religion" apart from general psychology. The unique importance of his work lies rather in his discovery and treatment of religious, or potentially religious, factors in his investigation into the unconscious as a whole and in his general therapeutic practice. In Answer to Job , first published in Zurich in 1952, Jung employs the familiar language of theological discourse. Such terms as "God," "wisdom," and "evil" are the touchstones of his argument. And yet, Answer (...) to Job , perhaps Jung's most controversial work, is not an essay in theology as much as it is an examination of the symbolic role that theological concepts play in a person's psychic life. (shrink)

We study the influence of the existence of large cardinals on the existence of wellorderings of power sets of infinite cardinals κ with the property that the collection of all initial segments of the wellordering is definable by a Σ1‐formula with parameter κ. A short argument shows that the existence of a measurable cardinal δ implies that such wellorderings do not exist at δ‐inaccessible cardinals of cofinality not equal to δ and their successors. In contrast, our main result shows that (...) these wellorderings exist at all other uncountable cardinals in the minimal model containing a measurable cardinal. In addition, we show that measurability is the smallest large cardinal property that imposes restrictions on the existence of such wellorderings at uncountable cardinals. Finally, we generalise the above result to the minimal model containing two measurable cardinals. (shrink)