We address an argument by Floridi (Synthese 168(1):151–178, 2009; 2011a), to the effect that digital and analogue are not features of reality, only of modes of presentation of reality. One can therefore have an informational ontology, like Floridi’s Informational Structural Realism, without commitment to a supposedly digital or analogue world. After introducing the topic in Sect. 1, in Sect. 2 we explain what the proposition expressed by the title of our paper means. In Sect. 3, we describe Floridi’s (...) argument. In the following three sections, we raise three difficulties for it, (i) an objection from intuitions: Floridi’s view is not supported by the intuitions embedded in the scientific views he exploits (Sect. 4); (ii) an objection from mereology: the view is incompatible with the world’s having parts (Sect. 5); (iii) an objection from counting: the view entails that the question of how many things there are doesn’t make sense (Sect. 6). In Sect. 7, we outline two possible ways out for Floridi’s position. Such ways out involve tampering with the logical properties of identity, and this may be bothersome enough. Thus, Floridi’s modus ponens will be our (and most ontologists’) modus tollens. (shrink)

After reporting in detail Aristotle’s texts and comments on the well-known motion paradoxes Arrow, Dichotomy, Achilles and Stadium, tracking back to the 5th century BCE and credited by Aristotle to Zeno of Elea, we next explain and dis-cuss traditional continuous solutions of the paradoxes, based on Cauchy’s limit concept. Afterward, the heated philosophical debate on supertasks and infinity machines is reported before the paradoxes are examined within the context of modern quantum theory. Already in 1905, Einstein concluded that matter could (...) not be a continuous thing. Classical continuous spacetime is replaced by ‘granular’ spacetime, and the concept of distance in granular spacetime is discussed. This is followed by a detailed presentation of modern discrete solutions in granular spacetime, several of which are published here for the first time. Finally, a procedure is presented to determine when traditional continuous methods suffice instead of discrete methods, and the handling of discrete versus continuous in physics is briefly reported. (shrink)

A platitude that took hold with Kuhn is that there can be several equally good ways of balancing theoretical virtues for theory choice. Okasha recently modelled theory choice using technical apparatus from the domain of social choice: famously, Arrow showed that no method of social choice can jointly satisfy four desiderata, and each of the desiderata in social choice has an analogue in theory choice. Okasha suggested that one can avoid the Arrow analogue for theory choice by employing (...) a strategy used by Sen in social choice, namely, to enhance the information made available to the choice algorithms. I argue here that, despite Okasha’s claims to the contrary, the information-enhancing strategy is not compelling in the domain of theory choice. (shrink)

The paper argues that digital ontology (the ultimate nature of reality is digital, and the universe is a computational system equivalent to a Turing Machine) should be carefully distinguished from informational ontology (the ultimate nature of reality is structural), in order to abandon the former and retain only the latter as a promising line of research. Digital vs. analogue is a Boolean dichotomy typical of our computational paradigm, but digital and analogue are only “modes of presentation” of Being (...) (to paraphrase Kant), that is, ways in which reality is experienced or conceptualised by an epistemic agent at a given level of abstraction. A preferable alternative is provided by an informational approach to structural realism, according to which knowledge of the world is knowledge of its structures. The most reasonable ontological commitment turns out to be in favour of an interpretation of reality as the totality of structures dynamically interacting with each other. The paper is the first part (the pars destruens) of a two-part piece of research. The pars construens, entitled “A Defence of Informational Structural Realism”, is developed in a separate article, also published in this journal. (shrink)

Consider an infinite set of discrete, finite-sized solid balls (i.e., elements) extending in all directions forever. Here, infinite set is not meant so much in the abstract, mathematical sense but in more of a physical sense where the balls have physical size and physical location-type relationships with their neighbors. In this sense, the set is used as an analogy for our possibly infinite physical universe. Two observers are viewing this set. One observer is internal to the set and is (...) of the same finite size scale as the ball elements. Another observer is external to the set and is infinite in size relative to the balls and observer within the set. This observer is of the same size scale as the set as a whole. What do these sets look like to the two observers? The finite-sized (relative to the balls inside the set) observer within the set would view the set as a space composed of discrete, finite-sized objects. The external infinite-sized (relative to the inside the set) observer would view the very same set as a continuous space and would see no distinct elements within the set. How does this relate to us? First, the differing views of set N as being composed of a discrete versus continuous space may be related to the differing views of spacetime as discrete and continuous. Second, the perspective of the observer would have an impact on the assignment of a cardinality to an infinite set. (shrink)

An important lesson that philosophy can learn from the Turing Test and computer science more generally concerns the careful use of the method of Levels of Abstraction (LoA). In this paper, the method is first briefly summarised. The constituents of the method are “observables”, collected together and moderated by predicates restraining their “behaviour”. The resulting collection of sets of observables is called a “gradient of abstractions” and it formalises the minimum consistency conditions that the chosen abstractions must satisfy. Two useful (...) kinds of gradient of abstraction – disjoint and nested – are identified. It is then argued that in any discrete (as distinct from analogue) domain of discourse, a complex phenomenon may be explicated in terms of simple approximations organised together in a gradient of abstractions. Thus, the method replaces, for discrete disciplines, the differential and integral calculus, which form the basis for understanding the complex analogue phenomena of science and engineering. The result formalises an approach that is rather common in computer science but has hitherto found little application in philosophy. So the philosophical value of the method is demonstrated by showing how making the LoA of discourse explicit can be fruitful for phenomenological and conceptual analysis. To this end, the method is applied to the Turing Test, the concept of agenthood, the definition of emergence, the notion of artificial life, quantum observation and decidable observation. It is hoped that this treatment will promote the use of the method in certain areas of the humanities and especially in philosophy. (shrink)

There is a widely accepted distinction between being directly responsible for a wrongdoing versus being somehow indirectly or vicariously responsible for the wrongdoing of another person or collective. Often this is couched in analyses of complicity, and complicity’s role in the relationship between individual and collective wrongdoing. Complicity is important because, inter alia, it allows us to make sense of individuals who may be blameless or blameworthy to a relatively low degree for their immediate conduct, but are nevertheless blameworthy (...) to a higher degree for their implication in some larger (or another person’s) wrongdoing. In this paper, I argue that there is a distinctively epistemic kind of complicity. First, I motivate the distinction between direct and vicarious responsibility with three interlocking arguments, respectively appealing to: i) the structure of rational agency; ii) linguistic considerations; iii) the role of “principal vs. accomplice” in legal doctrine. I show how these arguments naturally extend to the epistemic domain, motivating an epistemic form of vicarious responsibility. I then examine complicity as a mechanism of vicarious epistemic responsibility. To fill this out, I engage with an epistemic analogue of the debate about the role of intention versus causal contribution in complicity. I propose a Casual Account of Epistemic Complicity, arguing that it accommodates a wide range of cases, and enables fine-grained explanations of degrees of culpability for epistemic complicity. With an adequate account of epistemic complicity on hand, we can explain what is objectionable about an important class of epistemic agent who, on an individual level, may be epistemically blameless or blameworthy to a relatively low degree, but whose relation to other individuals or collectives nevertheless makes them epistemically blameworthy to a higher degree. I explore some broader implications of this result. (shrink)

The quantified argument calculus (Quarc) is a novel logic that departs in several ways from mainstream first-order logic. In particular, its quantifiers are not sentential operators attached to variables, but attach to unary predicates to form arguments – quantified arguments – of other predicates. Furthermore, Quarc includes devices to account for anaphora, active-passive-voice distinctions, and sentence- versus predicate-negation. While this base system has already been shown to be sound and complete, modal extensions still lack such results. The present paper (...) fills this lacuna by developing a modal extension of Quarc, including identity. The semantics will invalidate the Quarc-analogues of the Barcan-formula and its converse, as well as treat identity as contingent by default. Furthermore, an unlabelled Gentzen-style natural deduction system will be presented, which includes the full expressive power of Quarc. It will be shown to be strongly sound and complete with respect to relational frames. The paper closes off with considerations on how to extend the system to cover other normal modal logics as well as extensions to suitable three-valued semantics that capture relevant types of presupposition-failure. (shrink)

Building on Christopher Peacocke’s account of analog perceptual contentand my own account of analog perceptual vehicles, I defend three claims: that theperception of magnitudes often has analog contents; that the perception of magni-tudes often has analog vehicles; and that the first claim is true in virtue of the second—that is, the analog vehicles help to ground the analog contents.

The abstract basis of modern computation is the formal description of a finite state machine, the Universal Turing Machine, based on manipulation of integers and logic symbols. In this contribution to the discourse on the computer-brain analogy, we discuss the extent to which analog computing, as performed by the mammalian brain, is like and unlike the digital computing of Universal Turing Machines. We begin with ordinary reality being a permanent dialog between continuous and discontinuous worlds. So it is with computing, (...) which can be analog or digital, and is often mixed. The theory behind computers is essentially digital, but efficient simulations of phenomena can be performed by analog devices; indeed, any physical calculation requires implementation in the physical world and is therefore analog to some extent, despite being based on abstract logic and arithmetic. The mammalian brain, comprised of neuronal networks, functions as an analog device and has given rise to artificial neural networks that are implemented as digital algorithms but function as analog models would. Analog constructs compute with the implementation of a variety of feedback and feedforward loops. In contrast, digital algorithms allow the implementation of recursive processes that enable them to generate unparalleled emergent properties. We briefly illustrate how the cortical organization of neurons can integrate signals and make predictions analogically. While we conclude that brains are not digital computers, we speculate on the recent implementation of human writing in the brain as a possible digital path that slowly evolves the brain into a genuine (slow) Turing machine. (shrink)

We analyze the properties of optimum portfolios, the price of which is considered a new quantum variable and derive a quantum analog of the Black-Scholes formula for the price of financial variables in assumption that the market dynamics can by considered as its continuous weak measurement at no-arbitrage condition.

This chapter presents a re-understanding of the contents of our analog magnitude representations (e.g., approximate duration, distance, number). The approximate number system (ANS) is considered, which supports numerical representations that are widely described as fuzzy, noisy, and limited in their representational power. The contention is made that these characterizations are largely based on misunderstandings—that what has been called “noise” and “fuzziness” is actually an important epistemic signal of confidence in one’s estimate of the value. Rather than the ANS having noisy (...) or fuzzy numerical content, it is suggested that the ANS has exquisitely precise numerical content that is subject to epistemic limitations. Similar considerations will arise for other analog representations. The chapter discusses how this new understanding of ANS representations recasts the learnability problem for number and the conceptual changes that children must accomplish in the number domain. (shrink)

I discuss the early history of holography and explore how perceptions, applications, and forecasts of the subject were shaped by prior experience. I focus on the work of Dennis Gabor (1900–1979) in England,Yury N. Denisyuk (1927-2005) in the Soviet Union, and Emmett N. Leith (1927–2005) and Juris Upatnieks (b. 1936) in the United States. I show that the evolution of holography was simultaneously promoted and constrained by its identification as an analog of photography, an association that influenced its assessment by (...) successive audiences of practitioners, entrepreneurs, and consumers. One consequence is that holography can be seen as an example of a modern technical subject that has been shaped by cultural influences more powerfully than generally appreciated. Conversely, the understanding of this new science and technology in terms of an older one helps to explain why the cultural effects of holography have been more muted than anticipated by forecasters between the 1960s and 1990s. (shrink)

Reflection Theory holds that our sensations reflect physical properties, whereas Empiricism believes that sense (data), presentations, and phenomena are the ultimate existence. Lenin adhered to Reflection Theory and criticized Helmholtz’s sensory symbolism for affirming the similarity between a sensation and a physical property. By using information and color vision theories, analyzing the ostensive definition with inverted qualia, and extending the relativity principle, this paper affirms the external world’s existence independent of personal sensations. Still, it denies the similarity between a sense (...) and a physical property. Then, it improves symbolism to analog symbolism and Reflection Theory to Information Reflection Theory. (shrink)

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

Summary Analogue models are actual physical setups used to model something else. They are especially useful when what we wish to investigate is difficult to observe or experiment upon due to size or distance in space or time: for example, if the thing we wish to investigate is too large, too far away, takes place on a time scale that is too long, does not yet exist or has ceased to exist. The range and variety of analogue models (...) is too extensive to attempt a survey. In this article, I describe and discuss several different analogue model experiments, the results of those model experiments, and the basis for constructing them and interpreting their results. Examples of analogue models for surface waves in lakes, for earthquakes and volcanoes in geophysics, and for black holes in general relativity, are described, with a focus on examining the bases for claims that these analogues are appropriate analogues of what they are used to investigate. A table showing three different kinds of bases for reasoning using analogue models is provided. Finally, it is shown how the examples in this article counter three common misconceptions about the use of analogue models in physics. (shrink)

Advocates of dynamic systems have suggested that higher mental processes are based on continuous representations. In order to evaluate this claim, we first define the concept of representation, and rigorously distinguish between discrete representations and continuous representations. We also explore two important bases of representational content. Then, we present seven arguments that discrete representations are necessary for any system that must discriminate between two or more states. It follows that higher mental processes require discrete representations. We also (...) argue that discrete representations are more influenced by conceptual role than continuous representations. We end by arguing that the presence of discrete representations in cognitive systems entails that computationalism (i.e., the view that the mind is a computational device) is true, and that cognitive science should embrace representational pluralism. (shrink)

In this field questions arise which are certainly difficult; but as I listened last time to members of the group, I felt that the main difficulty perhaps lay in determining precisely what questions we are trying to answer. I have the conviction that if we could only say clearly what the questions are, the answers to them might not appear so elusive. So I have begun with a simple list of questions about discretion which in one form or another were, (...) as it seemed to me, expressed by the group last time. I may indeed have omitted something and inserted something useless: if so, no doubt I shall be informed of this later. The central questions then seem to me to be the following: 1. What is discretion, or what is the exercise of discretion? 2. Under what conditions and why do we in fact accept or tolerate discretion in a legal system? 3. Must we accept discretion or tolerate discretion, and if so, why? 4. What values does the use of discretion menace, and what values does it maintain or promote? 5. What can be done to maximize the beneficial operation of the use of discretion and to minimize any harm that it does? (shrink)

Exposome research is put forward as a major tool for solving the nature-versus-nurture debate because the exposome is said to represent “the nature of nurture.” Against this influential idea, we argue that the adoption of the nature-versus-nurture debate into the exposome research program is a mistake that needs to be undone to allow for a proper bioethical assessment of exposome research. We first argue that this adoption is originally based on an equivocation between the traditional nature-versus-nurture debate (...) and a debate about disease prediction/etiology. Second, due to this mistake, exposome research is pushed to adopt a limited conception of agential control that is harmful to one's thinking about the good that exposome research can do for human health and wellbeing. To fully excise the nature-versus-nurture debate from exposome research, we argue that exposome researchers and bioethicists need to think about the exposome afresh from the perspective of actionability. We define the concept of actionability and related concepts and show how these can be used to analyze the ethical aspects of the exposome. In particular, we focus on refuting the popular “gun analogy” in exposome research, returning results to study participants and risk-taking in the context of a well-lived life. (shrink)

The encounter of the medieval Muslims with Greek philosophy undeniably shaped the course of their philosophical and theological thought. This encounter led to the complex and contentious issue of ‘philosophy versus theology’. Medieval Muslim thinkers needed to develop a response to the issue of philosophy versus theology. The present article will first highlight the response of the Islamic theologians to their encounter with Greek philosophy in the form of three major trends in medieval Islamic theology: (1) strong opposition (...) to the application of reason and rationalist approach to Islamic doctrines, and strict adherence to the actual text of the Qur’an and the Hadith, (2) the adoption of Greek philosophy, and the application of reason and rationalist approach to explain and defend Islamic religion and (3) acknowledging the significance of reason in exploring the matters related to the natural world but, at the same time, stressing the subordination of reason to revelation. This article will discuss Atharism, Muʿtazilism and Ashʿarism as the representatives of the first, second and third trends, respectively. The response of the medieval Islamic theologians to the issue of philosophy versus theology serves as a context in which medieval Muslim philosophers carried out their philosophy–theology debate. The article will proceed to show that some medieval Muslim philosophers, such as Abu Bakr Al-Razi, subordinated religion or revelation to philosophy or reason. Other medieval Muslim philosophers, such as Al-Ghazali, subordinated philosophy to theology. The third group of medieval Islamic philosophers represented by Alfarabi argued for the reconciliation and harmonious co-existence of philosophy and religion. Contribution: This article highlights the response of medieval Islamic theologians and philosophers to the issue of philosophy versus theology that was caused by their encounter with Greek philosophy. (shrink)

I argue that analogue mental representations possess a canonical decomposition into privileged constituents from which they compose. I motivate this suggestion, and rebut arguments to the contrary, through reflection on the approximate number system, whose representations are widely expected to have an analogue format. I then argue that arguments for the compositionality and constituent structure of these analogue representations generalize to other analogue mental representations posited in the human mind, such as those in early vision and (...) visual imagery. (shrink)

I resolve an argument over “flat” versus “dimensioned” theories of realization. The theories concern, in part, whether realized and realizing properties are instantiated by the same individual (the flat theory) or different individuals in a part-whole relationship (the dimensioned theory). Carl Gillett has argued that the two views conflict, and that flat theories should be rejected on grounds that they fail to capture scientific cases involving a dimensioned relation between individuals and their constituent parts. I argue on the contrary (...) that the two types of theory complement one another, even on the same range of scientific cases. I illustrate the point with two popular functionalist versions of flat and dimensioned positions – causal-role functionalism and a functional analysis by decomposition – that combine into a larger picture I call “comprehensive functional realization.” I also respond to some possible objections to this synthesis of functionalist views. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Philosophies versus Philosophy:In Defense of a Flexible DefinitionRein RaudIt is strange that no one has taken up Carine Defoort's clearly formulated and timely argument about the intercultural tensions in interpreting what philosophy is, although the issue deserves at least a roundtable, if not an international conference.1 I doubt that this is because there is a general consensus that the matter is now settled, and I would therefore like (...) to develop the argument a bit further and offer a few additional factors to consider. It is also obvious that the problem is not limited to the subject of Chinese philosophy alone: all traditions of thought from all over the world, but most notably the Indian, Islamic, and Japanese heritages, are affected by the positions we adopt. As in most debates about the commensurability of cultural traditions, we can find differences when we look for them, and similarities if these are what we would like to see, so the "conflict of sensitivities"2 is also a matter of attitudes. My own position is that regardless of what we prefer to call the practice of deeper thought (and 'philosophy' is a very good name), it would be extremely useful for all of its participants, whatever their origin and upbringing, to find a common denominator for them to be able to exchange ideas and mutually enrich each other on its basis. In what follows I shall try to sketch a perspective from which this could, in my opinion, be theoretically grounded.Four PositionsDefoort has identified four possible points of view on the problem of whether classical Chinese thought could or should be called 'philosophy,' which could be summarized as follows.1. Chinese classical thought is not philosophy, because it does not satisfy the conditions of philosophy as it is generally and traditionally understood in the West.2. Chinese classical thought is philosophy, because it reveals the necessary characteristics if analyzed with the help of an appropriate (Western-type) observation language.3. Chinese classical thought can be called philosophy, but only if we redefine philosophy in order to accommodate some of its nontypical or clearly deviant features.4. Chinese classical thought should not be called philosophy, because philosophy is a culturally closed Western phenomenon with a limited scope and incapable of understanding fundamentally different modes of thought. [End Page 618]If we dismiss the birthright variety of the first position, we could label it essentialist, and its weakest point is certainly that Western philosophy has not remained unchanged during the course of history. It is highly doubtful that Socrates, Diogenes, scholastics, Nietzsche, and Gareth Evans could all be members of the same set if the same strict criteria were applied to all periods and all cultural settings in the same way, and, as Defoort herself stresses,3 the fact that seventeenth-century Jesuits (the basis of whose original worldview, we should think, was much farther from the Chinese than ours) had no problem in calling Chinese thought philosophy should show us that the paradigm shift of the thing called 'philosophy' has occurred in the West and is, so to speak, our problem and not theirs.Now, it is also possible that in some circles even some prominent names in the Western tradition do not qualify as real philosophers, in the sense in which Hegel was treated by Bertrand Russell4 and Heidegger was dismissed by Alfred Ayer5 in their respective histories of philosophy (while they nevertheless felt compelled to include chapters or passages on them). A definition of philosophy that puts forward such criteria that a considerable number of thinkers would have to remain outside its borders should be labeled sectarian-and it can still be met, even if ever less often, in some analytical schools of philosophy. It is my conviction, however, that in our globalizing world any definition that would leave non-European philosophy outside the borders of 'philosophy proper' should be considered sectarian in nature. The main problem that I have with Defoort's family model6 is precisely that in it the head of the family, who makes the decisions as to who can be adopted and who cannot, is always Western, and the... (shrink)

In order to graduate, Florida's high school students by law must learn that Communism is evil, dangerous, and fallacious. All students must learn that the U.S. produces the highest standard of living and more freedom than any other economic system on earth. State universities in Florida are creating a curriculum to implement the Americanism versus Communism Act of 1961 and the Free Enterprise and Consumer Education Act of 1975. ;The Florida Department of Education says that ideology, noncritical thinking, is (...) superior to critical thinking and that the superiority of the U.S. political economy and the dignity of the individual rest in part on peoples' being able to express themselves freely. ;Florida's A.V.C. and F.E.C.E.A. proponents have a special way of convincing audiences that they will develop loyalty while at the same time imposing a set of ideas not open to question. ;This work argues that, intentionally or not, Florida's legislature and Department of Education have set up an official ideology and the mechanism to purvey it. This ideological approach defeats the aim of comparing systems objectively. While the stated aim is to promote critical thinking, the D.O.E.'s special philosophy underscoring words like "democracy" results in indoctrinating students with a questionable description of the U.S. system. (shrink)

Leibniz argues against Descartes’s conception of material substance based on considerations of unity. I examine a key premise of Leibniz’s argument, what I call the Plurality Thesis—the claim that matter (i.e., extension alone) is a plurality of parts. More specifically, I engage an objection to the Plurality Thesis stemming from what I call Material Monism—the claim that the physical world is a single material substance. I argue that Leibniz can productively engage this objection based on his view that matter is (...) discrete. The discreteness of matter provides two aspects of support for the Plurality Thesis. First, it indicates that the parts of matter do not share boundaries and are, therefore, independent in an important sense. Second, it indicates that the parts of matter are determinate and are, therefore, ontologically prior to the wholes they compose. (shrink)

Aesthetics versus Art History? Ernst Cassirer as Mediator in an ongoing Controversy on the Relevance of Art for Life. Against the background of Ernst Cassirer’s cultural philosophy, art studies are to be classified as cultural studies. Central to this is Cassirer’s philosophy as the basis for answering a question that has been posed by the methods of formal aesthetics and iconology since the 19th century but is still unanswered today, namely the question of the relevance of the arts for (...) life. In this way, aesthetics/Kunstwissenschaft and art history gain a new meaning as cultural studies beyond their achievements in the humanities and in epistemology. (shrink)

We discuss two leading theories of distributive justice: egalitarianism and prioritarianism. We argue that while each has particular merits and shortcomings, egalitarian views more fully satisfy a key requirement of distributive justice: respect for both the unity of the individual and the separateness of persons.

This paper addresses the issues related to designing and estimating the strength of solid-alloy elements in the deforming broaches of significant diameter (exceeding 150 mm) for the developed process of discrete broaching. The tool limit condition was assessed based on two strength criteria: the specific potential energy of shape change and the maximum tangent stresses. Numerical modeling using the finite element method has made it possible to derive the distribution of equivalent stresses in the tool elements and the contact (...) stresses at the surface of the contact between a solid-alloy insert and the body, which enabled the analysis of tool strength under loading. The simulation was performed under a single normal load, which ensured the versatility of the calculation for any contact pressure values. We have derived formulae to calculate the acceptable contact pressure depending on unit load. The effect of the insert protrusion height over the body on the strength of tool elements has been established. We have derived engineering dependences that determine the required magnitude of insert protrusion over the body depending on the ultimate load. An example of calculating the strength of a prefabricated deforming element in the machining of a sleeve made from gray modified cast iron of hardness HB230 has been considered. Our calculations have shown that the deforming element designed for the new technological process corresponds to the conditions of strength, provided the ratio h1/h=0.15 is maintained (where h1 is the insert height above the body, h is the insert height). The results obtained could be used in engineering calculations when designing the prefabricated tool for discrete deformation, as well as to assess the strength of prefabricated tools, such as cutters, core drills, reamers, when refining external loads. (shrink)

Recently there is some new interest in understanding the physical reality behind the formalism of quantum mechanics. This paper relates the known “quantum mysteries” of QM with the properties of the underlying structure of discrete space. DOI: 10.5281/zenodo.5236617.

This article presents important properties of standard discrete distributions and its conjugate densities. The Bernoulli and Poisson processes are described as generators of such discrete models. A characterization of distributions by mixtures is also introduced. This article adopts a novel singular notation and representation. Singular representations are unusual in statistical texts. Nevertheless, the singular notation makes it simpler to extend and generalize theoretical results and greatly facilitates numerical and computational implementation.

In this paper I argue that there is an important anomaly to the causalist/compatibilist paradigm in the philosophy of action and free will. This anomaly, which to my knowledge has gone unnoticed so far, can be found in the philosophy of Harry Frankfurt. Two of his most important contributions to the field – his influential counterexample to the Principle of Alternate Possibilities and his ‘guidance’ view of action – are incompatible. The importance of this inconsistency goes far beyond the issue (...) of coherence within Frankfurt’s philosophy. I shall argue that this inconsistency represents an important anomaly within the causalist/compatibilist framework; so that we should start to seriously consider having to move on from the established paradigm. (shrink)

The use of the model of discrete/quantized space sets the focus on mathematics instead of physics. It benefits the interpretation of observed and measured phenomena at the cosmological scale size. It is an approach that simplifies the problems around the understanding of the properties of the basic quantum fields.

What is the value of intellectual playfulness? Traditional characterizations of the ideal thinker often leave out playfulness; the ideal inquirer is supposed to be sober, careful, and conscientiousness. But elsewhere we find another ideal: the laughing sage, the playful thinker. These are models of intellectual playfulness. Intellectual playfulness, I suggest, is the disposition to try out alternate belief systems for fun – to try on radically different perspectives for the sheer pleasure of it. But what would the cog-nitive value be (...) of such playfulness? I suggest that intellectual playfulness function as, at the very least, a kind of intellectual insurance policy against epistemic traps. An epistemic trap is a belief system that re-directs good-faith inquiry to bad results. Am epistemic trap manipulates background beliefs to fend off contrary evidence. For example, a conspiracy theory might include a set of beliefs about how the mainstream media has been taken over by some vicious cabal. Normal epistemic attempts will be captured by a well-wrought epistemic trap, because normal attempts at inquiry are guided by these background beliefs -- which set what counts as a plausible path to explore, and what is implausible or beyond the pale. And a clever epistemic trap will manipulate those background beliefs for ill effect. Intellectual playfulness, on the other hand, isn’t motivated by an epistemic interest in the truth, but in the sheer pleasure of intellectual exploration. Since intellectual playfulness isn’t oriented towards the truth, it won’t be constrained by an agent’s background beliefs – it won’t, for example, prefer to investigate apparently more plausible pathways. Intellectual playfulness offers an opportunity to escape from epistemic traps. But intellectual playfulness has its own limitations. It will only drive us to explore belief systems when that exploration is fun. What we need is an array of differently-motivated exploratory tendencies – empathy, curiosity, playfulness – each of which will each cover for the others’ limitations. (shrink)

“Teleosemantic” or “biosemantic” theories form a strong naturalistic programme in the philosophy of mind and language. They seek to explain the nature of mind and language by recourse to a natural history of “proper functions” as selected-for effects of language- and thought-producing mechanisms. However, they remain vague with respect to the nature of the proposed analogy between selected-for effects on the biological level and phenomena that are not strictly biological, such as reproducible linguistic and cultural forms. This essay critically explores (...) various interpretations of this analogy. It suggests that these interpretations can be explicated by contrasting adaptationist with pluralist readings of the evolutionary concept of adaptation. Among the possible interpretations of the relations between biological adaptations and their analogues in language and culture, the two most relevant are a linear, hierarchical, signalling-based model that takes its cues from the evolution of co-operation and joint intentionality and a mutualistic, pluralist model that takes its cues from mimesis and symbolism in the evolution of human communication. Arguing for the merits of the mutualistic model, the present analysis indicates a path towards an evolutionary pluralist version of biosemantics that will align with theories of cognition as being environmentally “scaffolded”. Language and other cultural forms are partly independent reproducible structures that acquire proper functions of their own while being integrated with organism-based cognitive traits in co-evolutionary fashion. (shrink)

In recent decades, plural logic has established itself as a well-respected member of the extensions of first-order classical logic. In the present paper, I draw attention to the fact that among the examples that are commonly given in order to motivate the need for this new logical system, there are some in which the elements of the plurality in question are internally singularized (e.g. ‘Whitehead and Russell wrote Principia Mathematica’), while in others they are not (e.g. ‘Some philosophers wrote Principia (...) Mathematica’). Then, building on previous work, I point to a subsystem of plural logic in which inferences concerning examples of the first type can be adequately dealt with. I notice that such a subsystem (here called ‘discrete plural logic’) is in reality a mere variant of first-order logic as standardly formulated, and highlight the fact that it is axiomatizable while full plural logic is not. Finally, I urge that greater attention be paid to discrete plural logic and that discrete plurals are not used in order to motivate the introduction of full-fledged plural logic—or, at least, not without remarking that they can also be adequately dealt with in a considerably simpler system. (shrink)

The aims of liberalism—which is often confused with value pluralism—are routinely challenged by persons whose primary commitments lie elsewhere. In his weighing the pros and cons of liberal democratic states versus an Islamic state, Ahmad Yousif has offered an impressive challenge to liberals, but in doing so has confused the aims of liberalism with the pre-liberal nation-state ideal. In this article, I will challenge his conclusions by demonstrating the competing aims of liberals without conflating them with the liberal state. (...) Yousif is right to draw attention to the inequities of Western liberal democracies, but I will contend that (a) wherever actually existing liberal democracies fail to show tolerance towards religious minorities, it is not the fault of liberalism, and that (b) Yousif’s counter ideal of an Islamic state is less than ideal. (shrink)

In his insightful and challenging paper, Jonathan Schaffer argues against a distinction I make in The Ant Trap (Epstein 2015) and related articles. I argue that in addition to the widely discussed “grounding” relation, there is a different kind of metaphysical determination I name “anchoring.” Grounding and anchoring are distinct, and both need to be a part of full explanations of how facts are metaphysically determined. Schaffer argues instead that anchoring is a species of grounding. The crux of his argument (...) comes in the last sections of his paper, in his discussion of “exportation,” the relations strategy, and the definitions strategy. I am inclined to agree that Schaffer’s interesting strategies offer the best choices for the philosopher who wants to insist that anchoring is a species of grounding. But both, I will argue, are fatally flawed. I do not take the separation of anchors from grounds lightly, but find the evidence in its favor overwhelming. And once the distinction is made, I find anchoring to be a powerful practical tool in metaphysics. Philosophy and Phenomenological Research, Volume 99, Issue 3, Page 768-781, November 2019. (shrink)

The reward system of science is the priority rule. The first scientist making a new discovery is rewarded with prestige, while second runners get little or nothing. Michael Strevens, following Philip Kitcher, defends this reward system, arguing that it incentivizes an efficient division of cognitive labor. I argue that this assessment depends on strong implicit assumptions about the replicability of findings. I question these assumptions on the basis of metascientific evidence and argue that the priority rule systematically discourages replication. My (...) analysis leads us to qualify Kitcher and Strevens’s contention that a priority-based reward system is normatively desirable for science. (shrink)

This is the text of an invited talk exploring the connections between two apparently distinct notions of affect, sensory versus core affect. It is basically a progress report. It is exploratory and tentative. It starts from a mild puzzle about the apparent mismatch between the notion of affect that affective neuroscientists generally deploy and the notion of affect that emotion psychologists deploy. The notion favored by psychologists is the notion of core affect. The phenomenon studied by affective neuroscientists is (...) usually the notion of sensory affect. It's not clear how these two notions are related to each other. I'll present the main outlines of both notions, make some critical observations, and raise a few questions at the end. (shrink)

Realism and surrealism claim, respectively, that a scientific theory is successful because it is true, and because the world operates as if it is true. Lyons :891–901, 2003) criticizes realism and argues that surrealism is superior to realism. I reply that Lyons’s criticisms against realism fail. I also attempt to establish the following two claims: Realism and surrealism lead to a useful prescription and a useless prescription, respectively, on how to make an unsuccessful theory successful. Realism and surrealism give the (...) credit for the success of a theory to an appropriate factor and to an inappropriate factor, respectively. Finally, I point out that surrealism is vulnerable to my pessimistic induction :3–21, 2014a) against antirealism. (shrink)

Around 97% of climate scientists endorse anthropogenic global warming (AGW), the theory that human activities are partly responsible for recent increases in global average temperatures. Clearly, this widespread endorsement of AGW is a reason for non-experts to believe in AGW. But what is the epistemic significance of the fact that some climate scientists do not endorse AGW? This paper contrasts expert unanimity, in which virtually no expert disagrees with some theory, with expert consensus, in which some non-negligible proportion either rejects (...) or is uncertain about the theory. It is argued that, from a layperson’s point of view, an expert consensus is often stronger evidence for a theory’s truth than unanimity. Several lessons are drawn from this conclusion, e.g. concerning what laypeople should infer from expert pronouncements, how journalists should report on scientific theories, and how working scientists should communicate with the public. (shrink)

The paper describes the wav-particle duality with the help of the concept of discrete space (also termed "quantized space").

At the beginning of the COVID-19 pandemic, high hopes were placed on digital contact tracing. Digital contact tracing apps can now be downloaded in many countries, but as further waves of COVID-19 tear through much of the northern hemisphere, these apps are playing a less important role in interrupting chains of infection than anticipated. We argue that one of the reasons for this is that most countries have opted for decentralised apps, which cannot provide a means of rapidly informing users (...) of likely infections while avoiding too many false positive reports. Centralised apps, in contrast, have the potential to do this. But policy making was influenced by public debates about the right app configuration, which have tended to focus heavily on privacy, and are driven by the assumption that decentralised apps are “privacy preserving by design”. We show that both types of apps are in fact vulnerable to privacy breaches, and, drawing on principles from safety engineering and risk analysis, compare the risks of centralised and decentralised systems along two dimensions, namely the probability of possible breaches and their severity. We conclude that a centralised app may in fact minimise overall ethical risk, and contend that we must reassess our approach to digital contact tracing, and should, more generally, be cautious about a myopic focus on privacy when conducting ethical assessments of data technologies. (shrink)

In this paper, we have tried to prove the lack of discretion by providing a logical and philosophical connection between the fundamental concept of a function in mathematics and one of Einstein's most exceptional relativity results, namely, the relativity of simultaneity. Then, by providing real examples of social experiences and philosophical interpretations of them, we propose another proof for lack of discretion.

In a series of works Sosa (in: Knowledge in perspective, Cambridge University Press, Cambridge, 1991; A virtue epistemology: apt belief and reflective knowledge, Oxford University Press, Oxford, 2007; Reflective knowledge: apt belief and reflective knowledge, Oxford University Press, Oxford, 2009; ‘How Competence Matters in Epistemology’, Philos Perspect 24(1):465–475, 2010; Knowing full well, Princeton University Press, Princeton, 2011; Judgment and agency, Oxford University Press, Oxford, 2015; Epistemology, Princeton University Press, Princeton, 2017) has defended the view that there are two kinds or (...) ‘grades’ of knowledge, animal and reflective. One of the most persistent critics of Sosa’s attempts to bifurcate knowledge is Kornblith (in: Greco (ed) Ernest sosa and his critics, Wiley, Hoboken, 2004; ‘Sosa in Perspective’, Philos Stud 144(1):127–136, 2009; On reflection, Oxford University Press, Oxford, 2012). Our aim in this paper is to outline and evaluate Kornblith’s criticisms. We will argue that, while they raise a range of difficult (exegetical and substantive) questions about Sosa’s ‘bi-level’ epistemology, Sosa has the resources to adequately respond to all of them. Thus, this paper is a (qualified) defence of Sosa’s bi-level epistemology. (shrink)

This paper presents a new modified quantum mechanics, Critical Complexity Quantum Mechanics, which includes a new account of wavefunction collapse. This modified quantum mechanics is shown to arise naturally from a fully discrete physics, where all physical quantities are discrete rather than continuous. I compare this theory with the spontaneous collapse theories of Ghirardi, Rimini, Weber and Pearle and discuss some implications of these theories and CCQM for a realist view of the quantum realm.

Over the last decade, philosophers of science have extensively criticized the epistemic superiority of randomized controlled trials for testing safety and effectiveness of new drugs, defending instead various forms of evidential pluralism. We argue that scientific methods in regulatory decision-making cannot be assessed in epistemic terms only: there are costs involved. Drawing on the legal distinction between rules and standards, we show that drug regulation based on evidential pluralism has much higher costs than our current RCT-based system. We analyze these (...) costs and advocate for evaluating any scheme for drug regulatory tests in terms of concrete empirical benchmarks, like the error rates of regulatory decisions. (shrink)

Behaviourism is the view that preferences, beliefs, and other mental states in social-scientific theories are nothing but constructs re-describing people's behaviour. Mentalism is the view that they capture real phenomena, on a par with the unobservables in science, such as electrons and electromagnetic fields. While behaviourism has gone out of fashion in psychology, it remains influential in economics, especially in ‘revealed preference’ theory. We defend mentalism in economics, construed as a positive science, and show that it fits best scientific practice. (...) We distinguish mentalism from, and reject, the radical neuroeconomic view that behaviour should be explained in terms of brain processes, as distinct from mental states. (shrink)

We often claim to know about what is good or bad, right or wrong. But how do we know such things? Both historically and today, answers to this question have most commonly been rationalist or sentimentalist in nature. Rationalists and sentimentalists clash over whether intellect or affect is the foundation of our evaluative knowledge. This paper is about the form that this dispute takes among those who agree that evaluative knowledge depends on perceptual-like evaluative experiences. Rationalist proponents of perceptualism invoke (...) intellectual experiences, while sentimentalist proponents invoke affective experiences. The goal of this paper is to offer a fresh strategy for adjudicating between intellectual and sentimental perceptualism. I argue that the perceptualist’s hand will be forced either in the direction of intellectual or sentimental perceptualism once she decides between two views about the modal status of our basic evaluative knowledge. I close with an argument that the more plausible of the two options is the one which fits best with sentimental perceptualism. The argument, then, is that perceptualists ought to be sentimentalists. (shrink)

Can hybridism about moral claims be made to work? I argue it can if we accept the conventional implicature approach developed in Barker (Analysis 2000). However, this kind of hybrid expressivism is only acceptable if we can make sense of conventional implicature, the kind of meaning carried by operators like ‘even’, ‘but’, etc. Conventional implictures are a form of pragmatic presupposition, which involves an unsaid mode of delivery of content. I argue that we can make sense of conventional implicatures, but (...) doing so requires we embrace a form of pure, non-hybrid expressivism. This is a cognitivist expressivism I have developed elsewhere. We need cognitivist expressivism to make sense of how we evaluate—judge as correct or incorrect—implicature-bearing sentences. Once we embraced the possibility of this pure expressivism, we might as well be pure expressivists about normative discourse too. I show how we can do that. The motivations for a specifically hybrid theory are dialectically undercut. (shrink)