This paper examines connections between concepts of space and extension on the one hand and immaterial spirits on the other, specifically the immanentist concept of spirits as present in rerum natura. Those holding an immanentist concept, such as Thomas Aquinas, typically understood spirits non-dimensionally as present by essence and power; and that concept was historically linked to holenmerism, the doctrine that the spirit is whole in every part. Yet as Aristotelian ideas about extension were challenged and an actual, infinite, dimensional (...) space readmitted, a dimensionalist concept of spirit became possible—that asserted by the mature Henry More, as he repudiated holenmerism. Despite More’s intentions, his dimensionalist concept opens the door to materialism, for supposing that spirits have parts outside parts implies that those parts could in principle be mapped onto the parts of divisible bodies. The specter of materialism broadens our interest in More’s unconventional ideas, for the question of whether other early modern thinkers, including Isaac Newton, followed More becomes a question of whether they too unwittingly helped usher in materialism. This paper shows that More’s attack upon holenmerism fails. He illegitimately injects his dimensionalist concept of spirit into the doctrine, failing to recognize it as a consequence of the non-dimensionalist concept of spirit, which in itself secures indivisibility. The interpretive consequence for Newton is that there is no prima facie reason to suppose that the charitable interpretation takes him to deny holenmerism. (shrink)

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

The aim of this paper is to show that Priest's modal Meinongianism might benefit from joining forces with two-dimensionalism. For this purpose, I propose a two-dimensional solution to a problem for modal Meinongianism that is posed by Beall, Sauchelli, and Milne, and show that, by taking recourse to two-dimensionalism, divergent intuitions about the question of whether fictional characters might exist can be reconciled. Moreover, two-dimensionalism helps to rebut Kroon's argument to the conclusion that modal Meinongianism cannot rule out the odd (...) claim that some non-existent objects have existence-entailing properties at the actual world. (shrink)

In his recent book, The Dimensions of Consequentialism, Martin Peterson puts forward a new version of consequentialism that he dubs ‘multidimensional consequentialism’. The defining thesis of the new theory is that there are irreducible moral aspects that jointly determine the deontic status of an act. In defending his particular version of multidimensional consequentialism, Peterson advocates the thesis—he calls it DEGREE—that if two or more moral aspects clash, the act under consideration is right to some non-extreme degree. This goes against the (...) orthodoxy according to which—Peterson calls this RESOLUTION—each act is always either entirely right or entirely wrong. The argument against RESOLUTION appeals to the existence of so-called deontic leaps: the idea is that endorsing RESOLUTION would not give each relevant moral aspect its due in the final analysis. Our paper argues that, contrary to Peterson, all moral aspects remain visible in what can properly be called the final analysis of a moral theory that involves RESOLUTION, moral aspects do not have to remain visible in judgements of all-things-considered rightness or wrongness, respectively, introduction of what Peterson calls verdictive reasons does not change the overall picture in favour of DEGREE. We conclude that multi-dimensional consequentialists should accept RESOLUTION rather than DEGREE. (shrink)

In this paper I develop a version of universalism that is non-mereological. Broadly speaking, non-mereological universalism is the thesis that for any arbitrary set of objects and times, there is a persisting object which, at each of those times, will be constituted by those of the objects that exist at that time. I consider two general versions of non-mereological universalism, one which takes basic simples to be enduring objects, and the other which takes simples to be instantaneous objects. This yields (...) three versions of endurantism, of which I ultimately defend the version I call universalist endurantism. Universalist endurantism is the thesis that for any arbitrary set S of instantaneous simples that exist at the same instant, there exists a fusion of the members of S, and for any arbitrary set S* of instantaneous fusions each of which exist at a different instant, there exists an enduring object O that is constituted by those fusions at those instants. Universalist endurantism is ‘non-mereological’ in that the relation that holds between instantaneous fusions and persisting objects is not the part/whole relation, but rather, is the relation of constitution, thus allowing that the persisting objects are three rather than four dimensional. I argue that universalist endurantism not only has the various benefits of mereological universalism in allowing vagueness to be explicated as semantic indeterminacy, but in addition allows the endurantist to hold that some properties are genuinely intrinsic and are exemplified simpliciter. (shrink)

Pablo Gilabert and Holly Lawford-Smith have, both in collaboration and individually, provided a compelling account of feasibility, which states that feasibility is both ‘binary’ and ‘scalar’, and both ‘synchronic’ and ‘diachronic’. This two-dimensional analysis, however, has been the subject of four major criticisms: it has been argued that it rests upon a false distinction between ‘hard’ and ‘soft’ constraints, that it ignores the importance of intentional action, and that diachronic feasibility is incoherent and insensitive to the existence of epistemic limitations. (...) In this paper, I will argue that such objections do not undermine the persuasiveness of Gilabert and Lawford-Smith’s analysis. Nevertheless, I will contend that the latter is susceptible to two other challenges. First, it mistakenly appeals to morality, and, second, it lacks an analysis of ability. I will maintain, however, that such criticisms can be addressed and that a revised version of the account should be adopted. (shrink)

Pablo Gilabert and Holly Lawford-Smith have, both in collaboration and individually, provided a compelling account of feasibility, which states that feasibility is both ‘binary’ and ‘scalar’, and both ‘synchronic’ and ‘diachronic’. This two-dimensional analysis, however, has been the subject of four major criticisms: it has been argued that it rests upon a false distinction between ‘hard’ and ‘soft’ constraints, that it ignores the importance of intentional action, and that diachronic feasibility is incoherent and insensitive to the existence of epistemic limitations. (...) In this paper, I will argue that such objections do not undermine the persuasiveness of Gilabert and Lawford-Smith’s analysis. Nevertheless, I will contend that the latter is susceptible to two other challenges. First, it mistakenly appeals to morality, and, second, it lacks an analysis of ability. I will maintain, however, that such criticisms can be addressed and that a revised version of the account should be adopted. (shrink)

This paper is a discussion note on Isaacs et al. (2022), who have claimed to offer a new motivation for imprecise probabilities, based on the mathematical phenomenon of non-measurability. In this note, I clarify some consequences of their proposal. In particular, I show that if their proposal is applied to a bounded 3-dimensional space, then they have to reject at least one of the following: (i) If A is at most as probable as B and B is at most as (...) probable as C, then A is at most as probable as C. (ii) Let A ∩ C = B ∩ C = ∅. A is at most as probable as B iff (A ∪ C) is at most as probable as (B ∪ C). But rejecting either statement seems unattractive. (shrink)

Do the ethical features of an artwork bear on its aesthetic value? This movie endorses misogyny, that song is a civil rights anthem, the clay constituting this statue was extracted with underpaid labor—are facts like these the proper bases for aesthetic evaluation? I argue that this debate has suffered from a false presupposition: that if the answer is yes (for at least some such ethical features), such considerations feature as pro tanto contributions to an artwork's overall aesthetic value, i.e., as (...) merits or flaws which make something have more or less overall aesthetic value. As the case of ethically laden, aesthetic evaluation makes clear, however, good aesthetic judgement is irreducibly multi-dimensional, e.g., "the movie has an engaging soundtrack, tasteful camera work, and takes a misogynistically prurient perspective on its female lead.'' Such a "non-summative" judgement refuses to reduce those various dimensions of aesthetic value to a single aggregate aesthetic evaluation, like "it's a 6/10" or "it's a pretty good movie!" I defend both the modest claim that such non-summative evaluations are not mistaken and the extremist claim that summative (i.e., unidimensional) aesthetic evaluation is defective by considering other domains of normative assessment in which summing seems inappropriate, notably including evaluations of people's character. (shrink)

Consider the concept combination ‘pet human’. In word association experiments, human subjects produce the associate ‘slave’ in relation to this combination. The striking aspect of this associate is that it is not produced as an associate of ‘pet’, or ‘human’ in isolation. In other words, the associate ‘slave’ seems to be emergent. Such emergent associations sometimes have a creative character and cognitive science is largely silent about how we produce them. Departing from a dimensional model of human conceptual space, this (...) article will explore concept combinations, and will argue that emergent associations are a result of abductive reasoning within conceptual space, that is, below the symbolic level of cognition. A tensor-based approach is used to model concept combinations allowing such combinations to be formalized as interacting quantum systems. Free association norm data is used to motivate the underlying basis of the conceptual space. It is shown by analogy how some concept combinations may behave like quantum-entangled particles. Two methods of analysis were presented for empirically validating the presence of non-separable concept combinations in human cognition. One method is based on quantum theory and another based on comparing a joint probability distribution with another distribution based on a separability assumption using a chi-square goodness-of-fit test. Although these methods were inconclusive in relation to an empirical study of bi-ambiguous concept combinations, avenues for further refinement of these methods are identified. (shrink)

We present a new approach to the invariant subspace problem for complex Hilbert spaces.This approach based on nonconservative Extension of the Model Theoretical NSA. Our main result will be that: if T is a bounded linear operator on an infinite-dimensional complex separable Hilbert space H,it follow that T has a non-trivial closed invariant subspace.

Detecting quality in large unstructured datasets requires capacities far beyond the limits of human perception and communicability and, as a result, there is an emerging trend towards increasingly complex analytic solutions in data science to cope with this problem. This new trend towards analytic complexity represents a severe challenge for the principle of parsimony (Occam’s razor) in science. This review article combines insight from various domains such as physics, computational science, data engineering, and cognitive science to review the specific properties (...) of big data. Problems for detecting data quality without losing the principle of parsimony are then highlighted on the basis of specific examples. Computational building block approaches for data clustering can help to deal with large unstructured datasets in minimized computation time, and meaning can be extracted rapidly from large sets of unstructured image or video data parsimoniously through relatively simple unsupervised machine learning algorithms. Why we still massively lack in expertise for exploiting big data wisely to extract relevant information for specific tasks, recognize patterns and generate new information, or simply store and further process large amounts of sensor data is then reviewed, and examples illustrating why we need subjective views and pragmatic methods to analyze big data contents are brought forward. The review concludes on how cultural differences between East and West are likely to affect the course of big data analytics, and the development of increasingly autonomous artificial intelligence (AI) aimed at coping with the big data deluge in the near future. Keywords: big data; non-dimensionality; applied data science; paradigm shift; artificial intelligence; principle of parsimony (Occam’s razor) . (shrink)

An excerpt of "The SignalGlyph Project and Prime Numbers" (a chapter of the book THE IMAGE OF LANGUAGE) that attempts to illustrate how dimensional limitations of mathematical language have obscured recognition of the system of patterning in the distribution of prime numbers.

The necessity of origin suggests that a person’s identity is determined by the particular pair of gametes from which the person originated. An implication is that speculative scenarios concerning how we might otherwise have been had our gametic origins been different are dismissed as being metaphysically impossible. Given, however, that many of these speculations are intelligible and commonplace in the discourses of competent speakers, it is overhasty to dismiss them as mistakes. This paper offers a way of understanding these speculations (...) that does not commit them to incoherence but aims to make the best sense of what they are expressing. Using the philosophical framework of two‐dimensional semantics, it proposes that the speculative scenarios are best analysed as epistemic possibilities, rather than as metaphysical possibilities. It then explores some implications of this analysis for the ethical challenges associated with the non‐identity problem. (shrink)

The incompleteness of set theory ZFC leads one to look for natural extensions of ZFC in which one can prove statements independent of ZFC which appear to be "true". One approach has been to add large cardinal axioms. Or, one can investigate second-order expansions like Kelley-Morse class theory, KM or Tarski- Grothendieck set theory TG [1]-[3] It is a non-conservative extension of ZFC and is obtaineed from other axiomatic set theories by the inclusion of Tarski's axiom which implies the existence (...) of inaccessible cardinals [1].Non-conservative extension of ZFC based on an generalized quantifiers considered in [4]. In this paper we look at a set theory NC_{∞^{#}}^{#},based on bivalent gyper infinitary logic with restricted Modus Ponens Rule [5]-[8]. In this paper we deal with set theory NC_{∞^{#}}^{#} based on gyper infinitary logic with Restricted Modus Ponens Rule. Set theory NC_{∞^{}}^{} contains Aczel's anti-foundation axiom [9]. We present a new approach to the invariant subspace problem for Hilbert spaces. Our main result will be that: if T is a bounded linear operator on an infinite-dimensional complex separable Hilbert space H,it follow that T has a non-trivial closed invariant subspace. Non-conservative extension based on set theory NC_{∞}^{#} of the model theoretical nonstandard analysis [10]-[12] also is considered. (shrink)

This paper aims to provide hyperintensional foundations for mathematical platonism. I examine Hale and Wright's (2009) objections to the merits and need, in the defense of mathematical platonism and its epistemology, of the thesis of Necessitism. In response to Hale and Wright's objections to the role of epistemic and metaphysical modalities in providing justification for both the truth of abstraction principles and the success of mathematical predicate reference, I examine the Necessitist commitments of the abundant conception of properties endorsed by (...) Hale and Wright and examined in Hale (2013), and demonstrate how a two-dimensional approach to the epistemology of mathematics is consistent with Hale and Wright's notion of there being non-evidential epistemic entitlement rationally to trust that abstraction principles are true. A choice point that I flag is that between availing of intensional or hyperintensional semantics. The hyperintensional semantic approach that I advance is a topic-sensitive epistemic two-dimensional truthmaker semantics. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest that observational type theory can be applied to first-order abstraction principles in order to make abstraction principles recursively enumerable. Epistemic and metaphysical states and possibilities may thus be shown to play a constitutive role in vindicating the reality of mathematical objects and truth, and in providing a conceivability-based route to the truth of abstraction principles as well as other axioms and propositions in mathematics. (shrink)

One of the most intuitive views about the metaphysics of laws of nature is Tim Maudlin's idea of a Fundamental Law of Temporal Evolution. So-called FLOTEs are primitive elements of the universe that produce later states from earlier states. While FLOTEs are at home in traditional Newtonian and non-relativistic quantum mechanical theories (not to mention our pre-theoretic conception of the world), I consider here whether they can be made to work with relativity. In particular, shifting to relativistic spacetimes poses two (...) threats to FLOTEs. First, the lack of a privileged spacelike hypersurface in relativistic spacetime makes it unclear how to understand what produces what. A survey of several conceptions of the nomic production relation compatible with relativity reveals all of them to be lacking. Second, relativity motivates a four-dimensional block universe conception of time, according to which all events that will ever occur already exist. On such a view, it's unclear what work there is to be done by FLOTEs. I consider how a proponent of FLOTEs might respond, but conclude that these combined threats seriously undermine the prospects of a productive conception of laws. In short, if spacetime is relativistic, laws are not productive. (shrink)

I want to model a finite, fallible cognitive agent who imagines that p in the sense of mentally representing a scenario—a configuration of objects and properties—correctly described by p. I propose to capture imagination, so understood, via variably strict world quantifiers, in a modal framework including both possible and so-called impossible worlds. The latter secure lack of classical logical closure for the relevant mental states, while the variability of strictness captures how the agent imports information from actuality in the imagined (...) non-actual scenarios. Imagination turns out to be highly hyperintensional, but not logically anarchic. Section 1 sets the stage and impossible worlds are quickly introduced in Sect. 2. Section 3 proposes to model imagination via variably strict world quantifiers. Section 4 introduces the formal semantics. Section 5 argues that imagination has a minimal mereological structure validating some logical inferences. Section 6 deals with how imagination under-determines the represented contents. Section 7 proposes additional constraints on the semantics, validating further inferences. Section 8 describes some welcome invalidities. Section 9 examines the effects of importing false beliefs into the imagined scenarios. Finally, Sect. 10 hints at possible developments of the theory in the direction of two-dimensional semantics. (shrink)

This paper presents the strongest version of a non-perdurantist four-dimensionalism: a theory according to which persisting objects are four-dimensionally extended in space-time, but not in virtue of having maximal temporal parts. The aims of considering such a view are twofold. First, to evaluate whether such an account could provide a plausible middle ground between the two main competitor accounts of persistence: three-dimensionalism and perdurantist four-dimensionalism. Second, to see what light such a theory sheds on the debate between these two competitor (...) theories. I conclude that despite prima facie reasons to suppose that non-perdurantist four-dimensionalism might be a credible alternative to either other account of persistence, ultimately the view is unsuccessful. The reasons for its failure illuminate the sometimes stagnant debate between three-dimensionalists and perdurantists, providing new reasons to prefer a perdurantist metaphysics. (shrink)

This paper presents the strongest version of a non-perdurantist four-dimensionalism: a theory according to which persisting objects are four-dimensionally extended in space-time, but not in virtue of having maximal temporal parts. The aims of considering such a view are twofold. First, to evaluate whether such an account could provide a plausible middle ground between the two main competitor accounts of persistence: three-dimensionalism and perdurantist four-dimensionalism. Second, to see what light such a theory sheds on the debate between these two competitor (...) theories. I conclude that despite prima facie reasons to suppose that non-perdurantist four-dimensionalism might be a credible alternative to either other account of persistence, ultimately the view is unsuccessful. The reasons for its failure illuminate the sometimes stagnant debate between three-dimensionalists and perdurantists, providing new reasons to prefer a perdurantist metaphysics. (shrink)

Darwin’s claim that Natural Selection, through optimization of fitness, explains complex biological design has not yet been properly formalized. Alan Grafen’s Formal Darwinism Project aims at providing such a formalization and at demonstrating that fitness maximization is coherent with results from Population Genetics, usually interpreted as denying it. We suggest that Grafen’s proposal suffers from some limitations linked to its concept of design as optimized fitness. In order to overcome these limitations, we propose a classification of evolutionary facts based on (...) a bi-dimensional complexity space, which adds robustness to fitness as measure of the quality of a design. In this space, each point represents an organismic architecture, and movement between two points would be an evolutionary fact. Natural Selection explains movement along the fitness axis, while non-selective mechanisms explain movement on the robustness axis. Moreover, we propose a thermodynamic metaphor to draw parallelisms between notions of fitness and entropy, robustness and energy, and movement in this space and reversible and irreversible cycles. We argue that this metaphor illustrates different evolutionary processes usually overlooked by proposals of formalization of Darwinian theory, such Grafen’s Formal Darwinism Project. (shrink)

Brian Cutter objected to the consequence argument due to its dependence on the principle that miracle workers are metaphysically impossible. A miracle worker is someone who has the ability to act in a way such that the laws of nature would be violated. While there is something to the thought that agents like us do not have this ability, Cutter claims that there is no compelling reason to regard miracle workers as metaphysically impossible. However, the paper contends that miracle workers (...) are indeed impossible according to well-known theories concerning the laws of nature. This result highlights the reliance of the consequence argument on a plausible premise, which is widely accepted by proponents of non-Humean views of laws. The paper also provides a way to explain away the intuition that miracle workers are possible, but this has the upshot that a recent, two-dimensional formulation of the consequence argument is unsound. (shrink)

A number of recent theories of quantum gravity lack a one-dimensional structure of ordered temporal instants. Instead, according to many of these views, our world is either best represented as a single three-dimensional object, or as a configuration space composed of such three-dimensional objects, none of which bear temporal relations to one another. Such theories will be empirically self-refuting unless they can accommodate the existence of conscious beings capable of representation. For if representation itself is impossible in a timeless world, (...) then no being in such a world could entertain the thought that a timeless theory is true, let alone believe such a theory or rationally believe it. This paper investigates the options for understanding representation in a three-dimensional, timeless, world. Ultimately it concludes that the only viable option is one according to which representation is taken to be deeply non-naturalistic. Ironically then we are left with two seemingly very unattractive options. Either a very naturalistic motivation—taking seriously a live view in fundamental physics—leads us to a very non-naturalistic view of the mental, or else views in the philosophy of mind partly dictate what is an acceptable theory in physics. (shrink)

*A shortened version of this paper will appear in Current Controversies in Philosophy of Science, Dasgupta and Weslake, eds. Routledge.* This paper describes the case that can be made for a high-dimensional ontology in quantum mechanics based on the virtues of avoiding both nonseparability and non locality.

Evolution and geometry generate complexity in similar ways. Evolution drives natural selection while geometry may capture the logic of this selection and express it visually, in terms of specific generic properties representing some kind of advantage. Geometry is ideally suited for expressing the logic of evolutionary selection for symmetry, which is found in the shape curves of vein systems and other natural objects such as leaves, cell membranes, or tunnel systems built by ants. The topology and geometry of symmetry is (...) controlled by numerical parameters, which act in analogy with a biological organism’s DNA. The introductory part of this paper reviews findings from experiments illustrating the critical role of two-dimensional (2D) design parameters, affine geometry and shape symmetry for visual or tactile shape sensation and perception-based decision making in populations of experts and non-experts. It will be shown that 2D fractal symmetry, referred to herein as the “symmetry of things in a thing”, results from principles very similar to those of affine projection. Results from experiments on aesthetic and visual preference judgments in response to 2D fractal trees with varying degrees of asymmetry are presented. In a first experiment (psychophysical scaling procedure), non-expert observers had to rate (on a scale from 0 to 10) the perceived beauty of a random series of 2D fractal trees with varying degrees of fractal symmetry. In a second experiment (two-alternative forced choice procedure), they had to express their preference for one of two shapes from the series. The shape pairs were presented successively in random order. Results show that the smallest possible fractal deviation from “symmetry of things in a thing” significantly reduces the perceived attractiveness of such shapes. The potential of future studies where different levels of complexity of fractal patterns are weighed against different degrees of symmetry is pointed out in the conclusion. (shrink)

Distributive justice deals with allocations of goods and bads within a group. Different principles and results of distributions are seen as possible ideals. Often those normative approaches are solely framed verbally, which complicates the application to different concrete distribution situations that are supposed to be evaluated in regard to justice. One possibility in order to frame this precisely and to allow for a fine-grained evaluation of justice lies in formal modelling of these ideals by metrics. Choosing a metric that is (...) supposed to map a certain ideal has to be justified. Such justification might be given by demanding specific substantiated axioms, which have to be met by a metric. This paper introduces such axioms for metrics of distributive justice shown by the example of needs-based justice. Furthermore, some exemplary metrics of needs-based justice and a three dimensional method for visualisation of non-comparative justice axioms or evaluations are presented. Therewith, a base worth discussing for the evaluation and modelling of metrics of distributive justice is given. (shrink)

Tim Crane maintains that beliefs cannot be conscious because they persist in the absence of consciousness. Conscious judgments can share their contents with beliefs, and their occurrence can be evidence for what one believes; but they cannot be beliefs, because they don’t persist. I challenge Crane’s premise that belief attributions to the temporarily unconscious are literally true. To say of an unconscious agent that she believes that p is like saying that she sings well. To say she sings well is (...) to say that when she sings, her singing is good. To say that she believes that p is to say that when she consciously considers the content that p she consciously affirms it. I also argue that the phenomenal view of intentional content Crane appears to endorse prima facie commits him to the view, at least controversial, perhaps incoherent, that there is unconscious phenomenology. Keywords : Belief; Consciousness; Unconscious; Intentional Content; Judgment. Credenze coscienti Riassunto: Tim Crane sostiene che le credenze non possano essere coscienti, dal momento che perdurano anche in assenza di coscienza. I giudizi formulati consapevolmente possono condividere i loro contenuti con le credenze e il loro verificarsi può essere una forma di evidenza a supporto di quanto uno crede. E tuttavia essi non possono essere credenze, dal momento che non perdurano. Nel commento metto in discussione la premessa di Crane secondo cui porre l’attribuzione di credenze su un piano temporaneamente inconscio sia vero in senso letterale. Dire di un agente non cosciente che esso creda che p è come dire che canti bene. Dire che canti bene è dire che quando canta, il suo canto è buono. Dire che crede che p è dire che quando considera consapevolmente il contenuto p costui lo afferma consapevolmente. Inoltre intendo affermare che la visione fenomenica del contenuto intenzionale che Crane sembra abbracciare lo impegni prima facie nei confronti della prospettiva, quantomeno controversa e probabilmente incoerente, secondo cui esisterebbe una dimensione fenomenica inconscia. Parole chiave: Credenza; Coscienza; Inconscio; Contenuto intenzionale; Giudizio. (shrink)

In finite probability theory, events are subsets S⊆U of the outcome set. Subsets can be represented by 1-dimensional column vectors. By extending the representation of events to two dimensional matrices, we can introduce "superposition events." Probabilities are introduced for classical events, superposition events, and their mixtures by using density matrices. Then probabilities for experiments or `measurements' of all these events can be determined in a manner exactly like in quantum mechanics (QM) using density matrices. Moreover the transformation of the density (...) matrices induced by the experiments or `measurements' is the Lüders mixture operation as in QM. And finally by moving the machinery into the n-dimensional vector space over ℤ₂, different basis sets become different outcome sets. That `non-commutative' extension of finite probability theory yields the pedagogical model of quantum mechanics over ℤ₂ that can model many characteristic non-classical results of QM. (shrink)

The reason for physics’ failure to find a final theory of the universe is examined. Problems identified are: the lack of unequivocal definitions for its fundamental elements (time, length, mass, electric charge, energy, work, matter-waves); the danger of relying too much on mathematics for solutions; especially as philosophical arguments conclude the universe cannot have a mathematical basis. It does not even need the concept of number to exist. Numbers and mathematics are human inventions arising from the human predilection for measurement. (...) Following Aristotle, a single fundamental cause is proposed to explore the efficacy of using pure non-mathematical philosophy to explain the universe, contrary to current quantum physical views. The cause is taken as Time, which is then defined, surprisingly leading automatically to a definition of a three-dimensional space answering the question into what can a universe be placed (space before space seems non-sensical). This enables the philosophical arguments to derive a universal rule giving clear-cut descriptions (definitions) of force (both gravitational and electromagnetic), motion, energy, and particles. The formation of atomic nuclei and atomic properties together with an unexpected role for neutrinos follow. In particular, a Popper-test can be prepared by introducing the concept of measurement to allow the philosophy arguments to be tested in another discipline - mathematics. The solution agrees with human physical observations to a remarkable degree of accuracy, automatically explaining and predicting values for Planck’s and the fine-structure constants. Although mathematical, it is included as confirming the efficacy of philosophy in attaining a final theory. (shrink)

Slurs’ meaning is highly unstable. A slurring utterance like ‘Hey, F, where have you been?’ (where F is a slur) may receive a wide array of interpretations depending on various contextual factors such as the speaker’s social identity, their relationship to the target group, tone of voice, and more. Standard semantic, pragmatic, and non-content theories of slurs have proposed different mechanisms to account for some or all types of variability observed, but without providing a unified framework that allows us to (...) understand how different contextual factors simultaneously influence slurs’ interpretation. To address this issue, I argue that slurs convey dimensional qualities such as, e.g., ‘negative valence, neutral arousal, high dominance’ instead of discrete emotional categories such as ‘contempt’. Then, I translate this hypothesis into a game-theoretic model of slurs’ interpretation inspired by Heather Burnett’s pioneering work on identity construction. This new model, called ‘Affective Meaning Games’ (AMG), captures the variability of slurs and integrates pragmatic reasoning within an independently motivated psychological understanding of emotional states. (shrink)

As a senior physicist colleague and our friend, Robert N. Boyd, wrote in a journal (JCFA, Vol. 1,. 2, 2022), Our universe is but one page in a large book [4]. For example, things and Beings can travel between Universes, intentionally or unintentionally. In this short remark, we revisit and offer short remark to Neil’s ideas and trying to connect them with geometrization of musical chords as presented by D. Tymoczko and others, then to Escher staircase and then to Jacob’s (...) ladder which seems to point to possibility to interpret Jacob’s vision as described in the ancient book of Genesis as inter dimensional or heavenly staircase, e.g. an inter dimensional bridge between heaven and earth (see also classic book: Hofstadter, Godel, Escher, Bach). Jacob’s vision of angels going down to earth from that staircase has been depicted for instance in William Blake art etc. In our communication with others via physics literature and discussions etc, we came to several conclusions as follows: Firstly, possibility of quantum wormhole effect to mirror particle universe, which sometimes it is termed non-orientable wormhole. While such mirror particles effect have been more than 50 years predicted with the so-called parity violation (cf. Lee & Yang, 1950s), and that is called symmetry breaking. Secondly, a series of extended experiments on laser irradiated cold water may suggest possible transition from a phase of water to be at least partially fourth phase of water, which may be composed of crystalline water (see e.g. Gerald Pollack, and also Harold Aspden on liquid crystalline). If we can imagine laser cooling effect can be done in protracted time, then we can achieve a physical representation of Aspden’s liquid crystalline. Therefore, in subsequent article (Part II) we outlined simple model of such an effect of tunneling via quantum liquid crystalline Universe, which may likely be modeled with iced-water. It is interesting to remark here that certain experiments by Stockholm University scientists have shown that X-ray triggered water can exhibit properties just like liquid crystal (cf. PRL, 2020). That is why we consider it possible that there can be quantum phase transition where liquid water (comprised of iced cubes and water) can exhibit effects such as tunneling in quantum liquid crystalline Universe. Last but not least, we admit that what we outlined here is just an initial phase; and if you wish, perhaps we can call such experiments as “wormhole-at-lab” experiments (abbreviated: WHALE). (shrink)

Plenitude, roughly, the thesis that for any non-empty region of spacetime there is a material object that is exactly located at that region, is often thought to be part and parcel of the standard Lewisian package in the metaphysics of persistence. While the wedding of plentitude and Lewisian four-dimensionalism is a natural one indeed, there are a hand-full of dissenters who argue against the notion that Lewisian four-dimensionalism has exclusive rights to plentitude. These ‘promiscuous’ three-dimensionalists argue that a temporalized version (...) of plenitude is entirely compatible with a three-dimensional ontology of enduring entities. While few would deny the coherence of such a position, and much work has been done by its proponents to appease critics, there has been surprisingly little by way of exploring the various forms such an ontology might take as well as the potential advantages of one plenitudinous three-dimensional ontology over another. Here I develop a novel form of plenitudinous three-dimensionalism, what John Hawthorne (Metaphysical essays, 2006a, b) has called “Neo-Aristotelian Plenitude,” and argue that if one is inclined to endorse an abundant three-dimensional ontology, one is wise to opt for a plenitude of accidental unities. (shrink)

I applaud recent improvements upon previous guidelines for the assessment of pain in non-human species and the application of their framework towards decapod crustaceans. Rather than constituting a mere intermediate solution between the scientific difficulty of settling questions of animal consciousness and the need for a framework for the purposes of animal welfare legislation, I will argue that the longer lists of criteria for animal sentience should make us realize that animal sentience is a multi-dimensional phenomenon that must be studied (...) with a plethora of methods in order to assess its diversity across the tree of life. (shrink)

"Siamo come lucciole che hanno disimparato a illuminare e che prima si sono messe a girare attorno alla lanterna magica dell'ideale ascetico e ora attorno alle insegne pubblicitarie al neon. Lucciole che hanno scordato d’avere una potenzialità di orientatività preziosa nel proprio sistema affettivo" (G. Cusinato, La totalità incompiuta, Milano 2008, 314). Che cos'è una persona? Come si costituisce concretamente l'identità personale? Che rapporto c'è fra identità personale e identità psichica? C'è coincidenza fra persona e homo sapiens? La persona è (...) ancora oggi, nonostante tutto, al centro del dibattito filosofico, sociologico, giuridico e bioetico, eppure la sua dimensione sembra sfuggire continuamente alle reti concettuali e alle categorie epistemologiche della scienza. In questo lavoro si propone una fenomenologia della persona a partire dal confronto con la teoria dei sistemi autopoietici di Maturana e Varela e dei sistemi sociali di Luhmann, mettendo in luce che la persona non può essere considerata un sistema autopoietico. La persona si delinea piuttosto come un sistema excentrico che si costituisce mediante l'esecuzione dell'atto. Questa prospettiva viene esplorata attraverso un dialogo serrato con l'antropologia filosofica tedesca, la stessa che all'inizio del Novecento mette in luce che l'uomo non ha un'essenza precostituita e proprio per questo necessita di un processo di Bildung. L'antropologia filosofica di Scheler e Plessner nasce nella Germania degli anni Venti in un periodo ancora fluido in cui l'eclissi delle tradizionali concezioni dell'uomo non aveva ancora lasciato il posto alla cristallizzazione totalitaria dell'uomo di massa che si sarebbe imposta negli anni Trenta. (shrink)

Abstract: How is it that we can visually experience complete three-dimensional objects despite being limited, in any given perceptual moment, to perceiving the sides facing us from a specific spatial perspective? To make sense of this, such visual experiences must refer to occluded or presently unseen back-sides which are not sense-perceptually given, and which cannot be sense- perceptually given while the subject is occupying the spatial perspective on the object that they currently are – I call this the horizonality of (...) visual experience. Existing accounts of these horizonal references are unsatisfactory. In providing a satisfactory account, this paper argues that the content and structure of the visual experience of complete three-dimensional objects is as follows: the object is presented as being perceptible from yet-to-be-determined alternative points of view. As part of the content of visual experience, this motivates non-propositional attitudes of anticipation. Explicating this proposal is the central positive aim of this paper. (shrink)

Four dimensionalism, the thesis that persisting objects are four dimensional and thus extended in time as well as space, has become a serious contender as an account of persistence. While many four dimensionalists are mereological universalists, there are those who find mereological universalism both counterintuitive and ontologically profligate. It would be nice then, if there was a coherent and plausible version of four dimensionalism that was non-universalist in nature. I argue that unfortunately there is not. By its very nature four (...) dimensionalism embraces theses about the nature of objects and their borders that make any version of non-universalist four dimensionalism either incoherent or at least highly implausible. (shrink)

This article is a preliminary draft for initiating and commencing a new pioneer dimension of expression. To deal with higher-dimensional data or information flowing in this modern era of information technology and artificial intelligence, some innovative super algebraic structures are essential to be formulated. In this paper, we have introduced such matrices that have multiple layers and clusters of layers to portray multi-dimensional data or massively dispersed information of the plithogenic universe made up of numerous subjects their attributes, and sub-attributes. (...) For grasping that field of parallel information, events, and realities flowing from the micro to the macro level of universes, we have constructed hypersoft and hyper-super-soft matrices in a Plithogenic Fuzzy environment. These Matrices classify the non-physical attributes by accumulating the physical subjects and further sort the physical subjects by accumulating their non-physical attributes. We presented themasPlithogenicAttributiveSubjectivelyWholeHyper-Super-Soft-Matrix(PASWHSS-Matrix)andPlithogenic Subjective Attributively Whole-Hyper-Super-Soft-Matrix (PSAWHSS-Matrix). Several types of views and level-layers of these matrices are described. In addition, some local aggregation operators for Plithogenic Fuzzy Hypersoft Set (PPFHS-Set) are developed. Finally, few applications of these matrices and operators are used as numerical examples of COVID-19 data structures. (shrink)

Few metaphors in biology are more enduring than the idea of Adaptive Landscapes, originally proposed by Sewall Wright (1932) as a way to visually present to an audience of typically non- mathematically savvy biologists his ideas about the relative role of natural selection and genetic drift in the course of evolution. The metaphor, how- ever, was born troubled, not the least reason for which is the fact that Wright presented different diagrams in his original paper that simply can- not refer (...) to the same concept and are therefore hard to reconcile with each other (Pigliucci 2008). For instance, in some usages, the landscape’s non- fitness axes represent combinations of individual genotypes (which cannot sensibly be aligned on a linear axis, and accordingly were drawn by Wright as polyhedrons of increasing dimensionality). In other usages, however, the points on the diagram represent allele or genotypic frequencies, and so are actually populations, not individuals (and these can indeed be coherently represented along continuous axes). (shrink)

The notion of validity for modal languages could be defined in two slightly different ways. The first is the original definition given by S. Kripke, for which a formula φ of a modal language L is valid if and only if it is true in every actual world of every interpretation of L. The second is the definition that has become standard in most textbook presentations of modal logic, for which a formula φ of L is valid if and only (...) if it is true in every world in every interpretation of L. For simple modal languages, “Kripkean validity” and “Textbook validity” are extensionally equivalent. According to E. Zalta, however, Textbook validity is an “incorrect” definition of validity, because: (i) it is not in full compliance with Tarski’s notion of truth; (ii) in expressively richer languages, enriched by the actuality operator, some obviously true formulas count as valid only if the Kripkean notion is used. The purpose of this paper is to show that (i) and (ii) are not good reasons to favor Kripkean valid- ity over Textbook validity. On the one hand, I will claim that the difference between the two should rather be seen as the result of two different conceptions on how a modal logic should be built from a non-modal basis; on the other, I will show the advantages, for the question at issue, of seeing the actuality operator as belonging to the family of two-dimensional operators. (shrink)

Let us start by some general definitions of the concept of complexity. We take a complex system to be one composed by a large number of parts, and whose properties are not fully explained by an understanding of its components parts. Studies of complex systems recognized the importance of “wholeness”, defined as problems of organization (and of regulation), phenomena non resolvable into local events, dynamics interactions in the difference of behaviour of parts when isolated or in higher configuration, etc., in (...) short, systems of various orders (or levels) not understandable by investigation of their respective parts in isolation. In a complex system it is essential to distinguish between ‘global’ and ‘local’ properties. Theoretical physicists in the last two decades have discovered that the collective behaviour of a macro-system, i.e. a system composed of many objects, does not change qualitatively when the behaviour of single components are modified slightly. Conversely, it has been also found that the behaviour of single components does change when the overall behaviour of the system is modified. There are many universal classes which describe the collective behaviour of the system, and each class has its own characteristics; the universal classes do not change when we perturb the system. The most interesting and rewarding work consists in finding these universal classes and in spelling out their properties. This conception has been followed in studies done in the last twenty years on second order phase transitions. The objective, which has been mostly achieved, was to classify all possible types of phase transitions in different universality classes and to compute the parameters that control the behaviour of the system near the transition (or critical or bifurcation) point as a function of the universality class. This point of view is not very different from the one expressed by Thom in the introduction of Structural Stability and Morphogenesis (1975). It differs from Thom’s program because there is no a priori idea of the mathematical framework which should be used. Indeed Thom considers only a restricted class of models (ordinary differential equations in low dimensional spaces) while we do not have any prejudice regarding which models should be accepted. One of the most interesting and surprising results obtained by studying complex systems is the possibility of classifying the configurations of the system taxonomically. It is well-known that a well founded taxonomy is possible only if the objects we want to classify have some unique properties, i.e. species may be introduced in an objective way only if it is impossible to go continuously from one specie to another; in a more mathematical language, we say that objects must have the property of ultrametricity. More precisely, it was discovered that there are conditions under which a class of complex systems may only exist in configurations that have the ultrametricity property and consequently they can be classified in a hierarchical way. Indeed, it has been found that only this ultrametricity property is shared by the near-optimal solutions of many optimization problems of complex functions, i.e. corrugated landscapes in Kauffman’s language. These results are derived from the study of spin glass model, but they have wider implications. It is possible that the kind of structures that arise in these cases is present in many other apparently unrelated problems. Before to go on with our considerations, we have to pick in mind two main complementary ideas about complexity. (i) According to the prevalent and usual point of view, the essence of complex systems lies in the emergence of complex structures from the non-linear interaction of many simple elements that obey simple rules. Typically, these rules consist of 0–1 alternatives selected in response to the input received, as in many prototypes like cellular automata, Boolean networks, spin systems, etc. Quite intricate patterns and structures can occur in such systems. However, what can be also said is that these are toy systems, and the systems occurring in reality rather consist of elements that individually are quite complex themselves. (ii) So, this bring a new aspect that seems essential and indispensable to the emergence and functioning of complex systems, namely the coordination of individual agents or elements that themselves are complex at their own scale of operation. This coordination dramatically reduces the degree of freedom of those participating agents. Even the constituents of molecules, i.e. the atoms, are rather complicated conglomerations of subatomic particles, perhaps ultimately excitations of patterns of superstrings. Genes, the elementary biochemical coding units, are very complex macromolecular strings, as are the metabolic units, the proteins. Neurons, the basic elements of cognitive networks, themselves are cells. In those mentioned and in other complex systems, it is an important feature that the potential complexity of the behaviour of the individual agents gets dramatically simplified through the global interactions within the system. The individual degrees of freedom are drastically reduced, or, in a more formal terminology, the factual space of the system is much smaller than the product of the state space of the individual elements. That is one key aspect. The other one is that on this basis, that is utilizing the coordination between the activities of its members, the system then becomes able to develop and express a coherent structure at a higher level, that is, an emergent behaviour (and emergent properties) that transcends what each element is individually capable of. (shrink)

I processi di transizione post-conflitto pongono questioni prominenti per l’agenda politica globale. Si pensi, per esempio, alla transizione democratica in Sud Africa dopo la fine dell’Apartheid o alla ricostruzione politica dei paesi facenti parte dell’ex-Jugoslavia all’indomani delle guerre dei Balcani. Quali principi normativi dovrebbero informare tali processi? Questa domanda è al cuore del crescente dibattito sulla “giustizia transizionale”. Questo dibattito si è concentrato principalmente sulla rettificazione delle ingiustizie occorse a causa dei torti perpetrati e subiti dalle parti coinvolte. Di conseguenza, (...) la giustizia è stata tipicamente concepita come una proprietà di esiti distributivi di diritti e opportunità. I processi di transizione post-conflitto sono giusti nella misura in cui sono in grado di condurre a tali esiti. Un simile approccio orientato agli esiti è capace di rendere conto di dimensioni morali, animate da preoccupazioni di giustizia e/o pacificazione, che dovrebbero certamente figurare nella caratterizzazione e valutazione normativa dei processi di transizione. Tuttavia, esso rischia di perdere di vista un’altra dimensione egualmente rilevante che riguarda le qualità inerenti ai processi di transizione stessi. Per illuminare questa dimensione, vorrei portare l’attenzione su di una diversa idea di giustizia che riguarda le proprietà inerenti alle interazioni tra persone; la giustizia nelle interazioni. La tesi che sosterrò è che le procedure costitutive dei processi di transizione post-conflitto non dovrebbero essere disegnate con la sola o prioritaria preoccupazione di condurre le parti a un consenso o compromesso su di un accordo capace di rettificare le ingiustizie perpetrate e subite. È anche necessario che questi processi siano strutturati in modo da consentire alle parti di reinterpretare il loro conflitto come un problema condiviso, che richiede l’instaurazione di dinamiche d’interazione cooperative capaci di realizzare forme di trattamento inerentemente giuste delle loro pretese reciproche. (shrink)

Freud held complex and fascinating views on the question of mental causation. In this chapter, I propose an interpretation of Freud's views on this question, bringing together ideas from psychoanalysis, philosophy of psychoanalysis, and philosophy of mind. Faced with the impasse of the problem of how the mind interacts with the body, Freud created a two-dimensional picture of mental causation, with one dimension involving mechanistic causes and the other involving intentional causes. My thesis is that Freud's best-developed picture of mental (...) causation thesis describes mental causes as intentional causes using psychological vocabulary. I analyze three moments in Freud's work with a focus on mental causation. In the first topography, Freud uses a hybrid vocabulary, describing the mind in terms of both mechanistic causes and intentional causes. In his second topography, the mind increasingly assumes an intentional description. The third moment is Freud’s theory of anxiety, in which the arational cause of the unconscious drives, initially presented as a motor of the mind, gives rise to anxiety as an affective state that forces the self to find a solution for its mental conflicts. In the last part, I argue that Freud’s theory gradually moves from a reductionist approach to the mind-body problem on which mental causation is understood in terms of physical mechanisms, to a non-reductionist view where the mental becomes causally efficacious in its own right. (shrink)

Presentazione del curatore italiano (C.Corradetti): È possibile conciliare il pluralismo culturale con la dimensione pubblica della deliberazione? Partendo dall’analisi critica di Rawls e Habermas, James Bohman offre una risposta innovativa alla questione dell’accordo democratico. In tale proposta, parallelamente al rigetto di soluzioni meramente strategiche, viene riabilitata la nozione di compromesso morale nel quadro di un accordo normativo. Mantenendo fede ad una prospettiva composta da elementi normativi e fattuali, l’autore si propone di ampliare le opportunità democratiche nella riconciliazione tra conflitti culturali (...) profondi propri delle società contemporanee. L’elemento civico partecipativo risulta essere dunque una componente essenziale per la produzione di una sfera pubblica vibrante. Ne emerge una ricostruzione convincente volta non solo a respingere le critiche degli scettici sulle reali possibilità d’inclusività democratica, ma diretta soprattutto a suggerire un più efficace modello deliberativo per la garanzia della stabilità sociale. Questo testo è diventato ormai un riferimento internazionale classico nella discussione sul tema della deliberazione pubblica. L’autore ha inoltre sviluppato in ambito post-nazionale il suo modello deliberativo senza tuttavia ridiscutere i fondamenti concettuali della sua proposta teorica qui enunciati.Vista la rilevanza del tema e considerata la centralità del testo proposto, sembrerebbe dunque auspicabile rendere il testo disponibile anche al lettore italiano. (shrink)

In this paper, I motivate the addition of an actuality operator to relevant logics. Straightforward ways of doing this are in tension with standard motivations for relevant logics, but I show how to add the operator in a way that permits one to maintain the intuitions behind relevant logics. I close by exploring some of the philosophical consequences of the addition.

The repugnant conclusion poses a conundrum in population ethics that has evaded satisfactory solution for four decades. In this article, I show that the repugnant conclusion can be avoided without sacrificing key moral intuitions. This is achieved using non-Archimedean orders, which admit the possibility of pairs of goods for which no amount of one is better than a single unit of the other. I show that with minimal assumptions, not only are such goods sensible, they are compulsory. I show that (...) utilitarianism and expected utility theory in their canonical forms are not in general suitable in this setting, and using these tools naively can lead to ethical errors that are arbitrarily serious. Multi-dimensional lexicographic expected utility representations may be required. I use fuzzy sets to show that there needn't be a clear boundary separating goods that are not Archimedean equivalent. (shrink)

In this book I show that science suffers from a damaging but rarely noticed methodological disease, which I call rationalistic neurosis. It is not just the natural sciences which suffer from this condition. The contagion has spread to the social sciences, to philosophy, to the humanities more generally, and to education. The whole academic enterprise, indeed, suffers from versions of the disease. It has extraordinarily damaging long-term consequences. For it has the effect of preventing us from developing traditions and institutions (...) of learning rationally devoted to helping us learn how to make progress towards a wiser, more civilized world. On our fragile earth, overcrowded, fraught with injustice, inequality and conflict, menaced by unprecedented and terrifying technological and industrial means for change and destruction, we urgently need to acquire a little more wisdom and civilization if we are to avoid repeating horrors of the kind suffered by so many during the 20th century (and already suffered by many in the first few years of the 21st century). We can ill afford to have in our hands instruments of learning botched and bungled from the standpoint of helping us learn how to live more wisely. It may seem scarcely credible that something as important as our institutions of learning can suffer from wholesale, structural defects. Why has this not been noticed before? Why have not armies of scientists and scholars appreciated the point and, long ago, put the matter right? The answer will emerge as my argument unfolds. I will show that one of the most damaging features of rationalistic neurosis is that it has built-in methodological and institutional mechanisms which effectively conceal that anything is wrong. But there is also an immediately obvious reason: specialization, and the resulting fragmentation of academia, has resulted in a situation in which hardly anyone takes responsibility for the overall ideals, the overall aims and methods, of academic inquiry. Academics, these days, are specialists, furiously trying to keep abreast of developments in their own specialist fields. They have no time, and no inducement, to lift their eyes from their particular disciplines, and look at the whole endeavour. Science has long been under attack, at least since the Romantic movement. Blake objected to “Single vision & Newton’s sleep” and declared that “Art is the Tree of Life... Science is the Tree of Death”. Keats lamented that science will “clip an Angel’s wings” and “unweave a rainbow”. Whereas the Enlightenment had valued science and reason as tools for the liberation of humanity, Romanticism found science and reason oppressive and destructive, and instead valued art, imagination, inspiration, individual genius, emotional and motivational honesty rather than careful attention to objective fact. Much subsequent opposition to science stems from, or echoes, the Romantic opposition of Blake, Wordsworth, Keats and many others. There is the movement Isaiah Berlin has described as the “Counter-Enlightenment” (Berlin, 1979, ch. 1). There is existentialism, with its denunciation of the tyranny of reason, its passionate affirmation of the value and centrality of irrationality in human life, from Dostoevsky, Kierkegaard and Nietzsche to Heidegger and Sartre (see, for example, Barrett, 1962). There is the attack on Enlightenment ideals concerning science and reason undertaken by the Frankfurt school, by postmodernists and others, from Horkheimer and Adorno to Lyotard, Foucault, Habermas, Derrida, MacIntyre and Rorty (see Gascardi, 1999). The soul-destroying consequences of valuing science and reason too highly is a persistent theme in literature: it is to be found in the works of writers such as D.H. Lawrence, Doris Lessing, Max Frisch, Y. Zamyatin. There is persistent opposition to modern science and technology, and to scientific rationality, often associated with the Romantic wing of the green movement, and given expression in such popular books as Marcuse’s One Dimensional Man, Roszak’s Where the Wasteland Ends, Berman’s The Reenchantment of the World and Appleyard’s Understanding the Present. There is the feminist critique of science and conceptions of science: see, for example, Fox Keller (1984) and Harding (1986). And there are the corrosive implications of the so-called “strong programme” in the sociology of knowledge, and of the work of social constructivist historians of science, which depict scientific knowledge as a belief system alongside many other such conflicting systems, having no more right to claim to constitute knowledge of the truth than these rivals, the scientific view of the world being no more than an elaborate myth, a social construct (see Barnes and Bloor, 1981; Bloor, 1991; Barnes, Bloor and Henry, 1996; Shapin and Schaffer, 1985; Shapin, 1994; Pickering, 1984; Latour, 1987). This latter literature has provoked a counter-attack by scientists, historians and philosophers of science seeking to defend science and traditional conceptions of scientific rationality: see Gross and Levitt (1994), Gross, Levitt and Lewis (1996), and Koertge (1998). This debate between critics and defenders of science came abruptly to public attention with the publication of Alan Sokal’s brilliant hoax article ‘Transgressing the boundaries’ in a special issue of the cultural studies journal Social Text in 1996 entitled Science Wars: see Sokal and Bricmont (1998). What does this book have to contribute, given the above avalanche of criticism of science? The criticisms of science developed in this book are diametrically opposed to the above, in so far as the above criticisms oppose scientific rationality, seek to diminish or restrict its influence, or hold that it is unattainable. My central point is that we suffer, not from too much scientific rationality, but from not enough. What is generally taken to constitute scientific rationality is actually nothing of the kind. It is rationalistic neurosis, a characteristic, influential and damaging kind of irrationality masquerading as rationality. Science is damaged by being trapped within a widely upheld but severely defective philosophy of science; free science from this defective philosophy, provide it with a more intellectually rigorous philosophy, and it will flourish in both intellectual and humanitarian terms. And more generally, as we shall see, academic inquiry as a whole is damaged by being trapped within an intellectually defective philosophy of inquiry; free it from this defective philosophy, from its rationalistic neurosis, and it will flourish in intellectual and human terms. It is not reason that is damaging, but defective pretensions to reason — rationalistic neurosis —masquerading as reason. Thus what I seek to do here is the exact opposite of what all those who oppose science and scientific rationality do. I shall argue that Reason, the authentic article, arrived at by generalizing the progress-achieving methods of science, can have profoundly liberating and enriching consequences for all worthwhile, problematic aspects of life, and thus deserves to enter into every aspect of life. The bare bones of the argument of this book can be stated quite simply like this. Science cannot proceed without making the substantial metaphysical assumption that the universe is physically comprehensible (to some extent at least). But this conflicts with the orthodox view that in science everything is assessed impartially with respect to evidence, nothing being permanently assumed independently of evidence. So the metaphysical assumption of comprehensibility is repressed. Science pretends that no such assumption is made. But this damages science. For the assumption is substantial, influential and highly problematic. It needs to be made explicit within science so that it can be critically scrutinized, so that alternatives can be developed and considered. Pretending the assumption is not being made undermines the intellectual rigour of science, its intellectual value and success. And it does not stop there. For science also makes value assumptions. Quite properly, science is concerned to discover that which is of value. New factual knowledge devoid of all value (whether intellectual or practical) does not contribute to science. But the orthodox view of science holds that values have no place within science. As in the case of metaphysics, here too, science pretends that values have no role to play within the intellectual domain of science. And this damages science. For values are, if anything, even more influential and problematic than metaphysics (in influencing the direction of research). Here too, values need to be made explicit within science so that they can be scrutinized, so that alternatives can be developed and assessed. Pretending that values play no role within the intellectual domain damages science; both the intellectual and the practical aspects of science are adversely affected. Science fails to pursue those avenues of research that lie in the best interests of humanity. And it goes further. Science is pursued in a social, cultural, economic and political context. It is a part of various social, economic and political projects which seek to achieve diverse human objectives. But the idea that science is an integral part of humanitarian or political enterprises with political ends clashes, once again, with the official view of science that the aim of science is to improve factual knowledge. The political objectives of science are repressed. And, once again, this damages science. For, of course, the political objectives of science, like all our political objectives, are profoundly problematic. These need to be made explicit so that they can be scrutinized, so that alternatives can be developed and considered. The pretence that science does not have this political dimension once again undermines the intellectual rigour of science, and its human value. It lays science open to becoming a part of economic, corporate and political enterprises that are not in the best interests of humanity. The upshot of the line of argument just indicated is that we need to bring about a revolution in the aims and methods of science, and of academic inquiry more generally. Natural science needs to change; its relationship with the rest of academic inquiry, with social inquiry and the humanities, needs to change; and most importantly and dramatically, academic inquiry as a whole needs to change. The basic task of the academic enterprise needs to become to help humanity learn how to tackle its problems of living in more cooperatively rational ways than at present. We need to put the intellectual tasks of articulating our problems of living, and proposing and critically assessing possible solutions, possible and actual actions, at the heart of academic inquiry. The basic task needs to be to help humanity learn a bit more wisdom – wisdom being the capacity to realize what is of value in life, for oneself and others, wisdom including knowledge and technological know-how, but much else besides. Natural science, despite its flaws, has massively increased our knowledge and technological know-how. This in turn has led to a massive and sometimes terrifying increase in our power to act. Often this unprecedented power to act is used for human good, as in medicine or agriculture. But it is also used to cause harm, whether unintentionally (initially at least) as when industrialization and modern agriculture lead to global warming, destruction of natural habitats and rapid extinction of species, or intentionally, as when the technology of war is used by governments and terrorists to maim and kill. Before the advent of modern science, when we lacked the means to do too much damage to ourselves and the planet, lack of wisdom did not matter too much. Now, with our unprecedented powers to act, bequeathed to us by science, lack of wisdom has become a menace. This is the crisis behind all the other current global crises: science without wisdom. In these circumstances, to continue to pursue knowledge and technological know-how dissociated from a more fundamental quest for wisdom can only deepen the crisis. As a matter of urgency, we need to free science and academia of their neuroses; we need to bring about a revolution in the academic enterprise so that the basic aim becomes to promote wisdom by intellectual and educational means. At present science and the humanities betray both reason and humanity. The argument of this book, which I have just summarized, begins with a discussion of the philosophical and methodological problems that beset theoretical physics. At once, many of those who are concerned about moral, political and environmental issues that plague our world today, will feel impatient. What have the methodological problems of theoretical physics to do with third world poverty, war and the threat of war, pollution, extinction of species, the menace of conventional, chemical, biological and nuclear armaments? I can only plead with such a reader: patience. The root cause of the sickness of our times does indeed lie, I claim, with a methodological sickness of natural science or, even more specifically, of physical science. What makes the modern world so utterly different from all previous ages is our possession of modern science and technology. This is the instrument that has changed the conditions of human life almost beyond all recognition, and put unprecedented, and sometimes terrifying, powers into our hands. One should not dismiss out of hand the suggestion that a part of our problem may lie with this instrument, this engine, of rapid change. We see, here, too, the way in which intellectual specialization, referred to above, has effectively concealed from view the nature and extent of the problem that confronts us. The argument that I shall develop in what follows begins with physics, with problems concerning the aims and methods of physics. But it then leaps to social science, to philosophy, to the humanities, to education, to psychotherapy, and to politics: in the end there is scarcely an aspect of modern life that is not touched and, potentially, affected by the argument. How many academic experts are prepared to follow, to take seriously, an argument that ranges so recklessly across such a wide range of academic disciplines? How many non-academic non-experts? But just this is what the argument and message of this book requires. I hope that the reader will endure with patience the somewhat esoteric discussion concerning the aims and methods of physics pursued in chapter one. This may not seem to have anything much to do with the urgent problems of our times, but it does. This is in part how the intellectual disaster I seek to expose in this book conceals itself from view: it buries itself in the obscure, recondite field of the philosophy of physics. Those who devote their lives to the philosophy of physics are, by and large, too myopic to see how their specialized field of study has anything to do with the great and dreadful humanitarian problems and disasters of our age; and those who are above all concerned with these humanitarian disasters have no time at all for abstruse issues concerning the aims and methods of physics. And so the connection is never made. As it happens, the methodological neurosis of physics, with which we begin in chapter one, is actually a quite simple matter to grasp. It does not require any real knowledge of physics to understand. Indeed, physicists and philosophers of physics are much more likely to find the argument difficult to follow than are non-experts. We non-scientists can stand back and see the whole wood; scientists, trained to think in terms of the current orthodox conception of science, trapped in the thickets of research, will find this much harder to do. In an attempt to take this peculiar circumstance into account, I have arranged the exposition as follows. In chapter one I give a simple exposition of the case for declaring natural science to suffer from what I call "rationalistic neurosis"; this avoids all technicalities, and goes straight to the heart of the matter. In the appendix I tackle a host of more technical objections that may be made to the elementary argument of chapter one. So, those experts in the fields of the philosophy of physics and philosophy of science who find the argument of chapter one naïve and unconvincing, should consult the appendix before tossing the book away in disgust. I write in the hope that there will be a few who will not dismiss out of hand the suggestion that the question of how we are to go about learning how to live in wiser and more civilized ways might have something to learn from scientific learning, and will take the trouble to pursue the line of argument traced out in this book. I write in the hope that these few will grasp just how desperate our situation is, how urgent the need to change the status quo, and will do everything in their power to alert others to the need to heal the methodological sickness from which our institutions and traditions of learning at present suffer. To begin with, we need a campaigning organization, modelled perhaps on "Friends of the Earth", which might be called something like "Friends of Wisdom". (shrink)

This essay endeavors to define the concept of indefinite extensibility in the setting of category theory. I argue that the generative property of indefinite extensibility for set-theoretic truths in category theory is identifiable with the Grothendieck Universe Axiom and the elementary embeddings in Vopenka's principle. The interaction between the interpretational and objective modalities of indefinite extensibility is defined via the epistemic interpretation of two-dimensional semantics. The semantics can be defined intensionally or hyperintensionally. By characterizing the modal profile of $\Omega$-logical validity, (...) and thus the generic invariance of mathematical truth, modal coalgebras are further capable of capturing the notion of definiteness for set-theoretic truths, in order to yield a non-circular definition of indefinite extensibility. (shrink)

The purpose of this paper is to explore the connection between change and the B-theory of time, sometimes also called the Scientific view of time, according to which reality is a four-dimensional spacetime manifold, where past, present and future things equally exist, and the present time and non-present times are metaphysically the same. I argue in favour of a novel response to the much-vexed question of whether there is change on the B-theory or not. In fact, B-theorists are often said (...) to hold a ‘static’ view of time. But this far from being innocent label: if the B-theory of time presents a model of temporal reality that is static, then there is no change on the B-theory. From this, one can reasonably think as follows: of course, there is change, so the B-theory must be false. What I plan to do in this paper is to argue that in some sense there is change on the B-theory, but in some other sense, there is no change on the B-theory. To do so, I present three instances of change: Existential Change, namely the view that things change with respect to their existence over time; Qualitative Change, the view that things change with respect to how they are over time; Propositional Change, namely the view that things (i.e. propositions) change with respect to truth value over time. I argue that while there is a reading of these three instances of change that is true on the B-theory, and so there is change on the B-theory in this sense, there is a B-theoretical reading of each of them that is not true on the B-theory, and therefore there is no change on the B-theory in this other sense. (shrink)

This paper examines to what extent Davidsonian truth-theoretic semantics can give an adequate account for empty names in natural languages. It argues that the prospect is dim because of a tension between metaphysical austerity, non-vacuousness of theorems and empirical adequacy. Sainsbury (2005) proposed a Davidsonian account of empty names called ‘Reference Without Referents’ (RWR), which explicates reference in terms of reference-condition rather than referent, thus avoiding the issue of existence. This is an inspiring account. However, it meets several difficulties. First, (...) there is no non-vacuous, interpretive truth-condition available for any T-sentence containing an empty name, because by stipulation there is no way to compose a true atomic sentence using an empty name in RWR. The absence of an interpretive truth-condition implies the absence of an interpretive reference-condition. It also entails empirical inadequacy to support an interpretation because the related propositional attitude can never be truly satisfied. These considerations cast doubt on whether truth is the proper vehicle to articulate meaning. This paper suggests that we can alleviating the problem by employing truth-conditions varying across contexts of utterance, rather than just contexts of evaluation. The result is a two-dimensional model-theoretic approach to empty names. It involves a new function coined counterfactual reference and the account is compatible with both descriptivism and Millianism. (shrink)

The paper will explicate the Sache or matter of the dialectic of the founder of Kyoto School philosophy, Nishida Kitarō (1870-1945), from the standpoint of his mature thought, especially from the 1930s and 40s. Rather than providing a simple exposition of his thought I will engage in a creative reading of his concept of basho (place) in terms of chiasma and chōra, or a chiasmatic chōra. I argue that Nishida’s appropriation of nineteenth century German, especially Hegelian, terminology was inadequate in (...) expressing what he strove to say—for his concept of basho confounds traditional metaphysical discourse. Because of its chiasmatic and chōratic nature, the Sache he strove to capture and express through the language of dialectical philosophy, perpetually slips away from any systemic bounds. His “dialectic” (benshōhō) implies a chiasma or a criss-crossing of multiple factors on multi-dimensional levels that exceed in complexity simplistic binomial oppositions or the triadic formula of traditional dialectics. The complexity is one of over-determination that threatens to undermine the very language of such a dialectic. As the deep complexity of over-inter-determinations would deconstruct any notion of a substance, what Nishida offers—as opposed to an ousiology (or logic of substance)—is a chiasmology. I thus argue that his so-called dialectic is really an unfolding of that chiasma. And if chiasma expresses the over-determinate aspect of Nishida’s matter of thinking, chōra would express its under-determinate aspect. Nishida himself based his concept of basho or “place” on Plato’s notion of the chōra from the Timaeus. I take Nishida’s basho in its chōratic nature as what simultaneously unfolds and enfolds the chiasma. But in the case of the chōra it is its under-determinate nature that refuses reduction to any of the terms of opposition. In its self-withdrawal, it provides a clearing, a space, for the chiasmatic unraveling of the many. Like the chiasma it undermines any claim to a first substance or the hegemony of a universal First. For in its indeterminateness, it is “nothing” (mu). The unfolding it enfolds is, as Nishida states, “a determination without determiner.” In concrete terms, however, we might develop Nishida’s concept further by returning to the original pre-Platonic Greek meaning of chōra in the sense of “region” or “country,” to understand chōra or basho here as the very space of co-existence provided by this very earth. As a chiasmatic chōra irreducible, in its over- and under-determinations, to being or non-being, Nishida’s basho qua mu proves to be the an-ontological origin of both on and meon (being and non-being). Rejecting the culture-nature dichotomy this notion of our place of being as chiasma and chōra underscores our holistic symbiosis with the earth as the anontological (un)ground and clearing for our co-existence in a concrete milieau with one another and with nature. It is this earth as our ultimate contextual wherein that provides a clearing for co-dwelling and mutual encounter with one’s other, that we must acknowledge today if we are to co-exist authentically and freely vis-à-vis our global neighbors and vis-à-vis the surrounding nature. (shrink)