Where $\underline{a}$ is a Turing degree and ξ is an ordinal $ , the result of performing ξ jumps on $\underline{a},\underline{a}^{(\xi)}$ , is defined set-theoretically, using Jensen's fine-structure results. This operation appears to be the natural extension through $(\aleph_1)^{L^\underline{a}}$ of the ordinary jump operations. We describe this operation in more degree-theoretic terms, examine how much of it could be defined in degree-theoretic terms and compare it to the single jump operation.

Part of the draw of athletics is its straightforwardness. There are nuances to competitions to make them more sporting contests, but at the end of a long jump competition whomever records the longest jump should win. Unfortunately, a recent rule-change at the highest level of the sport – the “Final 3” format – undermined this simplicity for the horizontal jumps and the throws for some of the 2020 and much of the 2021 seasons. While fortunately this rule was (...) largely reverted within days of the initial submission of this paper, it’s still valuable to critically evaluate why such a rule is problematic so as to better understand of the value of sporting competitions and give guidance on future rule changes, be they in athletics or other sports. To that end, we will be drawing from the literature on the purpose and value of competitions and coupling that with simulations based on data from actual top-tier long jump competitions to show that the Final 3 format makes for significantly worse competitions than the standard format. (shrink)

John White (2016) defends the UK private school system from the accusation that it allows an unfair form of ‘queue jumping’ in university admissions. He offers two responses to this accusation, one based on considerations of harm, and one based on meritocratic distribution of university places. We will argue that neither response succeeds: the queue-jumping argument remains a powerful case against the private school system in the UK. We begin by briefly outlining the queue-jumping argument (§1), before evaluating White’s no-harm (...) (§2) and meritocracy (§3) arguments. (shrink)

In this note, we consider a Merton model for default risk, where the firm’s value is driven by a Brownian motion and a compound Poisson process.

This paper argues that the reduced-form jump diffusion model may not be appropriate for credit risk modeling. To correctly value hybrid defaultable financial instruments, e.g., convertible bonds, we present a new framework that relies on the probability distribution of a default jump rather than the default jump itself, as the default jump is usually inaccessible. As such, the model can back out the market prices of convertible bonds. A prevailing belief in the market is that convertible (...) arbitrage is mainly due to convertible underpricing. Empirically, however, we do not find evidence supporting the underpricing hypothesis. Instead, we find that convertibles have relatively large positive gammas. As a typical convertible arbitrage strategy employs delta-neutral hedging, a large positive gamma can make the portfolio highly profitable, especially for a large movement in the underlying stock price. (shrink)

Some conditions are given to ensure that for a jump homogeneous Markov process $\{X(t),t\ge 0\}$ the law of the integral functional of the process $T^{-1/2} \int^T_0\varphi(X(t))dt$ converges to the normal law $N(0,\sigma^2)$ as $T\to \infty$, where $\varphi$ is a mapping from the state space $E$ into $\bbfR$.

Central limit theorem for the functional of jump Markov process. Nguyễn Văn Hữu, Vương Quân Hoàng và Trần Minh Ngọc. Báo cáo: Hội nghị toàn quốc lần thứ III “Xác suất - Thống kê: Nghiên cứu, ứng dụng và giảng dạy” (tr. 34). Ba Vì, Hà Tây, ngày 12-14 tháng 05 năm 2005. Viện Toán học / Trường Đại học Khoa học tự nhiên / Đại học Quốc gia Hà Nội.

Despite the impressive amount of financial resources recently invested in carrying out large-scale brain simulations, it is controversial what the pay-offs are of pursuing this project. One idea is that from designing, building, and running a large-scale neural simulation, scientists acquire knowledge about the computational performance of the simulating system, rather than about the neurobiological system represented in the simulation. It has been claimed that this knowledge may usher in a new era of neuromorphic, cognitive computing systems. This study elucidates (...) this claim and argues that the main challenge this era is facing is not the lack of biological realism. The challenge lies in identifying general neurocomputational principles for the design of artificial systems, which could display the robust flexibility characteristic of biological intelligence. (shrink)

Credit risk, also known as default risk, is the likelihood of a corporation losing money if a business partner defaults. If the liabilities are not met under the terms of the contract, the firm may default, resulting in the loss of the company. There is no clear way to distinguish between organizations that will default and those that will not prior to default. We can only make probabilistic estimations of the risk of default at best. There are two types of (...) credit risk default models in this regard: structural and reduced-form models. Structural models are used to calculate the likelihood of a company defaulting based on its assets and liabilities. If the market worth of a company's assets is less than the debt it owes, it will default. Reduced form models often assume an external cause of default, such as a Poisson jump process, which is driven by a stochastic process. They model default as a random event with no regard for the balance sheet of the company. This paper provides a Review of credit risk default models. (shrink)

In this paper, I offer one example of conceptual change. Specifically, I contend that the discovery that viruses could cause cancer represents an excellent example of branch jumping, one of Thagard’s nine forms of conceptual change. Prior to about 1960, cancer was generally regarded as a degenerative, chronic, non-infectious disease. Cancer causation was therefore usually held to be a gradual process of accumulating cellular damage, caused by relatively non-specific component causes, acting over long periods of time. Viral infections, on the (...) other hand, were generally understood to be acute processes, whereby single, specific and necessary causal agents acted alone to produce disease. However, during the 1960s and 1970s, a number of cancers were discovered to have an infectious aetiology. Of particular note were two—Burkitt’s lymphoma and cervical cancer—which I will discuss in detail later in this piece. Together, these discoveries led, in the short term, to a tentative aetiological reclassification of some types of cancer as infectious diseases and, in the longer term, to a full-blown reclassification of cancer as an aetiological disease branch in its own right. This process of reclassification forms the empirical basis for my concluding remarks on the influence of classification upon causation in medicine. Through this, I aim to demonstrate that conceptual change, far from being a purely abstract concern of the philosopher of science, is of substantial import to scientific practitioners. (shrink)

Many tasks in statistical and causal inference can be construed as problems of entailment in a suitable formal language. We ask whether those problems are more difficult, from a computational perspective, for causal probabilistic languages than for pure probabilistic (or “associational”) languages. Despite several senses in which causal reasoning is indeed more complex—both expressively and inferentially—we show that causal entailment (or satisfiability) problems can be systematically and robustly reduced to purely probabilistic problems. Thus there is no jump in computational (...) complexity. Along the way we answer several open problems concerning the complexity of well-known probability logics, in particular demonstrating the ${\exists \mathbb {R}}$ -completeness of a polynomial probability calculus, as well as a seemingly much simpler system, the logic of comparative conditional probability. (shrink)

According to Arti Dhand, it can be argued that all Indian ethics have been primarily virtue ethics. Many have indeed jumped on the virtue bandwagon, providing prima facie interpretations of Hindu, Jain, and Buddhist canons in virtue terms. Others have expressed firm skepticism, claiming that virtues are not proven to be grounded in the nature of things and that, ultimately, the appeal to virtue might just well be a mere façon de parler. In this paper, we aim to advance the (...) discussion of Indian virtue ethics. Our intent is not to provide a catch-all interpretation of the different Indian schools. Our goal is, more modestly, to offer a theory of virtues in Indian philosophies, as a framework for theorists and interpreters who see these diverse traditions as amenable to systematic virtue analysis. Our theory grounds virtues in the reality of genuine moral dispositions and in a system of beliefs where morality is understood as transformative in nature. (shrink)

The history of philosophy risks a self-opacity whereby we overestimate or underestimate our proximity to prior modes of thinking. This risk is relevant to assessing Hegel’s appropriation by McDowell and Priest. McDowell enlists Hegel for a quietist answer to the problem with assuming that concepts and reality belong to different orders, viz., how concepts are answerable to the world. If we accept Hegel’s absolute idealist view that the conceptual is boundless, this problem allegedly dissolves. Priest enlists Hegel for a dialetheist (...) answer to the problem with assuming that truth and falsity are mutually exclusive, viz., how certain sentences are both true and false. If we accept Hegel’s dialectical view that certain contradictions are necessary, this problem allegedly dissolves. For both McDowell and Priest, we find a true friend in Hegel. I argue that McDowell’s and Priest’s appropriations of Hegel overestimate Hegel’s affinity with quietism and dialetheism. McDowell reads Hegel as a quietist who silences metaphysical claims and the skeptical questions they raise against commonsense, but neglects Hegel’s adaptation of ancient skepticism against commonsense. Priest reads Hegel as a dialetheist who subordinates formal logic to dialectical logic by affirming the truth of certain contradictions, but neglects Hegel’s commitment to resolving contradictions for the sake of truth qua whole. I diagnose their misreadings in terms of what Hegel regards as the three moments of logic and argue that while McDowell jumps to its third moment, Priest stalls at its second moment. According to Hegel’s Encyclopedia Logic, logic has three “moments”: the abstractive moment of the understanding, which “stops short” at fixed categories; the negative moment of dialectic, which discovers the “genuine nature” of the categories, viz., that each “passes over, of itself, into its opposite”; and the positive moment of speculation, which grasps the “unity” of categories through the “dissolution” of their inner opposition. Hegel warns that if these moments are “kept separate from each other […] they are not considered in their truth”. I suggest that quietist and dialetheist readings of Hegel fail to consider truthfully the unified moments of his logic. In his quietist critique of metaphysics, McDowell enlists Hegel to dissolve the problem with assuming the duality of concept and reality. But McDowell helps himself directly to the third moment of logic, where the unity of the categories, and hence the boundlessness of the conceptual, would be fully articulated. Since he arrives at the third moment prematurely, ignoring its prior moments, he obscures its truth (§1). In his dialetheist critique of formal logic, Priest enlists Hegel to dissolve the problem with assuming the duality of truth and falsity. But Priest restricts himself gratuitously to the second moment of logic, where contradictions within the categories are not yet resolved. Since he stalls at the second moment, severed from its final moment, he obscures its truth (§2). I argue we can extricate Hegel from quietist and dialetheist misreadings only if we grasp the truth of the three moments of logic. (shrink)

This paper shows how reasoning from best explanation combines with linguistic and factual presumptions during the process of retrieving a speaker’s intention. It is shown how differences between presumptions need to be used to pick the best explanation of a pragmatic manifestation of a dialogical intention. It is shown why we cannot simply jump to an interpretative conclusion based on what we presume to be the most common purpose of a speech act, and why, in cases of indirect speech (...) acts, we need to depend on an abductive process of interpretation. (shrink)

Some philosophers understand natural kinds to be the categories which are constraints on enquiry. In order to elaborate the metaphysics appropriate to such an account, I consider the complicated history of scurvy, citrus, and vitamin C. It may be tempting to understand these categories in a shallow way (as mere property clusters) or in a deep way (as fundamental properties). Neither approach is adequate, and the case instead calls for middle-range ontology: starting from categories which we identify in the world (...) and elaborating their structure, but not pretending to jump ahead to a complete story about fundamental being. (shrink)

Why is it useful to talk and think about knowledge-how? Using Edward Craig’s discussion of the function of the concepts of knowledge and knowledge-how as a jumping off point, this paper argues that considering this question can offer us new angles on the debate about knowledge-how. We consider two candidate functions for the concept of knowledge-how: pooling capacities, and mutual reliance. Craig makes the case for pooling capacities, which connects knowledge-how to our need to pool practical capacities. I argue that (...) the evidence is much more equivocal. My suggested diagnosis is that the concept of knowledge-how plays both functions, meaning that the concept of knowledge-how is inconsistent, and that the debate about knowledge-how is at least partly a metalinguistic negotiation. In closing, I suggest a way to revise the philosophical concept of knowledge how. (shrink)

Perspective reconciles the jump between understanding an individual’s conciseness exists and understanding the possibilities of something else. The reconciliation follows that in a universe within the mind there is no line between falsity and fact, and thus everything must be true; as we live in every mind, every thought must be true; if every thought is true, its validity is before its fallacies; validity first spurs better living. With validity first, working backward, it can be discerned that even if (...) the universe is material, reality lies in an otherwise magical mind. --Discussion and imagination should be valued given what we know about the universe--... Admittedly, the tone of perspective is more that of a manifesto than a pure argument, so the implications to life are more defined in their exploration, as opposed to the argument which come together gradually through the paper. (shrink)

Contrastivists view ought-sentences as expressing comparisons among alternatives. Deontic actualists believe that the value of each alternative in such a comparison is determined by what would actually happen if that alternative were to be the case. One of the arguments that motivates actualism is a challenge to the principle of agglomeration over conjunction—the principle according to which if you ought to run and you ought to jump, then you ought to run and jump. I argue that there is (...) no way of developing the actualist insight into a logic that invalidates the agglomeration principle without also invalidating other desirable patterns of inference. After doing this, I extend the analysis to other contrastive views that challenge agglomeration in the way that the actualist does. This motivates skepticism about the actualist’s way of challenging agglomeration. (shrink)

The paper takes up Bell's “Everett theory” and develops it further. The resulting theory is about the system of all particles in the universe, each located in ordinary, 3-dimensional space. This many-particle system as a whole performs random jumps through 3N-dimensional configuration space – hence “Tychistic Bohmian Mechanics”. The distribution of its spontaneous localisations in configuration space is given by the Born Rule probability measure for the universal wavefunction. Contra Bell, the theory is argued to satisfy the minimal desiderata for (...) a Bohmian theory within the Primitive Ontology framework. TBM's formalism is that of ordinary Bohmian Mechanics, without the postulate of continuous particle trajectories and their deterministic dynamics. This “rump formalism” receives, however, a different interpretation. We defend TBM as an empirically adequate and coherent quantum theory. Objections voiced by Bell and Maudlin are rebutted. The “for all practical purposes”-classical, Everettian worlds exist sequentially in TBM. In a temporally coarse-grained sense, they quasi-persist. By contrast, the individual particles themselves cease to persist. (shrink)

This paper offers a more comprehensive and accurate picture of Edmund Husserl’s semiotics. I not only clarify, as many have already done, Husserl’s theory of signs from the 1901 Logical Investigations, but also examine how he transforms that element of his philosophy in the 1913/14 Revisions to the Sixth Logical Investigation. Specifically, the paper examines the evolution of two central tenets of Husserl’s semiotics. I first look at how he modifies his classification of signs. I disclose why he revised his (...) 1901 distinction between indicators and expressions, instead claiming in 1913/14 that the divisions should be drawn between indicators, signals, and categorial signs. Second, I elucidate why Husserl overturned his conclusion from the Investigations, that signs execute their signitive operations in three steps, because he recognizes that categorial signs and their meant object are experienced all at once. By exploring the transformation of these two tenets of Husserl’s semiotics, we will see that he conceived of the First Investigation only as a starting or jumping off point for future analyses of signitive experience, rather than as his final account. This analysis will further reveal novel insights about Husserl’s understanding of intersubjectivity, passivity, and temporality. (shrink)

The standard account of supererogation holds that Liv is not morally required to jump on a grenade, thereby sacrificing her life, to save the lives of five soldiers. Many proponents defend the standard account by appealing to moral rationalism about requirement. These same proponents hold that Bernie is morally permitted to jump on a grenade, thereby sacrificing his life, to spare someone a mild burn. I argue that this position is unstable, at least as moral rationalism is ordinarily (...) defended. The proponent of the standard account of supererogation must either reject moral rationalism or endorse that Bernie is morally required to remain in safety. Along the way, this paper brings together three neglected topics: going *too far* beyond the call of duty, moral rationalism about *permission*, and how to weigh reasons when some reasons have a different proportion of justifying and requiring weight than others. (shrink)

We examine the influence of word choices on mathematical practice, i.e. in developing definitions, theorems, and proofs. As a case study, we consider Euclid’s and Euler’s word choices in their influential developments of geometry and, in particular, their use of the term ‘polyhedron’. Then, jumping to the twentieth century, we look at word choices surrounding the use of the term ‘polyhedron’ in the work of Coxeter and of Grünbaum. We also consider a recent and explicit conflict of approach between Grünbaum (...) and Shephard on the one hand and that of Hilton and Pedersen on the other, elucidating that the conflict was engendered by disagreement over the proper conceptualization, and so also the appropriate word choices, in the study of polyhedra. (shrink)

There is a wide range of things we do out of emotion. For example, we smile with pleasure, our voices drop when we are sad, we recoil in shock or jump for joy, we apologize to others out of remorse. It is uncontroversial that some of these behaviors are actions. Clearly, apologizing is an action if anything is. Things seem less clear in the case of other emotional behaviors. Intuitively, the drop in a sad person’s voice is something that (...) happens to her, rather than something she actively performs. Perhaps more interestingly, even jumping for joy can seem a problematic case: although its execution involves the active performance of certain movements, it has been argued to contrast, e.g., with an act of apology, in that it is not performed in order to achieve some end, such as repairing a relationship. This can make this behavior seem considerably different from paradigm actions. Our central concern in this paper is with which emotional behaviors should be classed as actions and why... (shrink)

Infusing contemporary critical terrorism studies (CTS) with concepts and methodologies from philosophy and critical theory via a Baradian posthumanist agential realist perspective and (counter)terrorist cases and vignettes, this chapter argues for a retheorisation of (counter)terrorism. It does so, firstly, by reconceptualising terrorism and counterterrorism as complex assemblages consisting not only of discursive-material components – an entanglement now largely accepted within CTS and critical security studies (CSS) – but also of affective layers and more-than-human phenomena. Secondly, by analysing European urban (counter)terrorist (...) cases from the UK, Germany, France, and Spain, together with these cases’ surprising spacetime-jumping interlinkages underwriting what we here conceptualise as queer(ing) spacetimematterings, this chapter zooms in on the intra-actions taking place between human and more-than-human agential phenomena and their risk-managed urban environments. Lastly, extra analytical attention is paid to how, in this neoliberal day and age – here rephrased as control society-driven ‘situationscaping times’ – very specific macro- and micropolitical violence-preventing measures and efforts are employed in the fight against various manifestations of urban terror and terrorism. (shrink)

In dance, there is a practice called ‘marking’. When dancers mark, they execute a dance phrase in a simplified, schematic or abstracted form. Based on our interviews with professional dancers in the classical, modern, and contemporary traditions, it is fair to assume that most dancers mark in the normal course of rehearsal and practice. When marking, dancers use their body-in-motion to represent some aspect of the full-out phrase they are thinking about. Their stated reason for marking is that it saves (...) energy, avoids strenuous movement such as jumps, and sometimes it facilitates review of specific aspects of a phrase, such as tempo, movement sequence, or intention, all without the mental and physical complexity involved in creating a phrase full-out. It facilitates real-time reflection. (shrink)

We have a striking ability to alter our psychological access to past experiences. Consider the following case. Andrew “Nicky” Barr, OBE, MC, DFC, (1915 – 2006) was one of Australia’s most decorated World War II fighter pilots. He was the top ace of the Western Desert’s 3 Squadron, the pre-eminent fighter squadron in the Middle East, flying P-40 Kittyhawks over Africa. From October 1941, when Nicky Barr’s war began, he flew 22 missions and shot down eight enemy planes in his (...) first 35 operational hours. He was shot down three times, once 25 miles behind enemy lines while trying to rescue a downed pilot. He escaped from prisoner of war camps four times, once jumping out of a train as it travelled from Italy into Austria. His wife Dot, who he married only weeks before the war, waited for him at home. She was told on at least three occasions that he was missing in action or dead. For 50 years, Nicky Barr never spoke publicly, and rarely privately, of his war-time experiences. He was very much a forgotten and forgetting hero (for further details, see Dornan, 2002). In his first public interview in 2002 on the Australian documentary program “Australian Story”, Nicky explained his 50 year silence by saying. (shrink)

This essay reviews the recently released Handbook of Philosophy of Management, using it as a jumping off point to explore some potential confusions in contemporary philosophy of management. The handbook itself, comprising 58 articles and some 1,000 pages, is a milestone for the field. At the same time, it brings a few problems into sharp relief. I argue for more clarity about the distinction between the philosophy of management and the philosophy of management research. I make the case that logic (...) as a de facto method for conducting inquiry may or may not be useful, while logic as a de jure standard for evaluating its conclusions is indispensable. I develop the view that neither management nor management studies is properly considered a science, or even an applied science. I contend that the seminal contributions of Alasdair MacIntyre are unjustly neglected by the field. And I advance the thesis that perhaps the leading issue for the philosophy of management today is the question of the purpose of management, pointing in some suggested directions for answering the question. (shrink)

I first provide an analysis of Joel Feinberg’s anti-paternalism in terms of invalidation of reasons. Invalidation is the blocking of reasons from influencing the moral status of actions, in this case the blocking of personal good reasons from supporting liberty-limiting actions. Invalidation is shown to be distinct from moral side constraints and lexical ordering of values and reasons. I then go on to argue that anti-paternalism as invalidation is morally unreasonable on at least four grounds, none of which presuppose that (...) people can be mistaken about their own good: First, the doctrine entails that we should sometimes allow people to unintentionally severely harm or kill themselves though we could easily stop them. Second, it entails that we should sometimes allow perfectly informed and rational people to risk the lives of themselves and others, though they are in perfect agreement with us on what reasons we have to stop them for their own good. Third, the doctrine leaves unexplained why we may benevolently coerce less competent but substantially autonomous people, such as young teens, but not adults. Last, it entails that there are peculiar jumps in justifiability between very similar actions. I conclude that as liberals we should reject anti-paternalism and focus our efforts on explicating important liberal values, thereby showing why liberty reasons sometimes override strong personal good reasons, though never by making them invalid. (shrink)

We show that any coherent complete partial order is obtainable as the fixed-point poset of the strong Kleene jump of a suitably chosen first-order ground model. This is a strengthening of Visser’s result that any finite ccpo is obtainable in this way. The same is true for the van Fraassen supervaluation jump, but not for the weak Kleene jump.

Many have expected that understanding the evolution of norms should, in some way, bear on our first-order normative outlook: How norms evolve should shape which norms we accept. But recent philosophy has not done much to shore up this expectation. Most existing discussions of evolution and norms either jump headlong into the is/ought gap or else target meta-ethical issues, such as the objectivity of norms. My aim in this paper is to sketch a different way in which evolutionary considerations (...) can feed into normative thinking—focusing on stability. I will discuss two forms of argument that utilize information about social stability drawn from evolutionary models, and employs it to assess claims in political philosophy. One such argument treats stability as feature of social states that may be taken into account alongside other features. The other uses stability as a constraint on the realization of social ideals, via a version of the ought-implies-can maxim. These forms of argument are not new; indeed they have a history going back at least to early modern philosophy. But their marriage with evolutionary information is relatively recent, has a significantly novel character, and has received little attention in recent moral and political philosophy. (shrink)

8000 Word annotated bibliography on the Phaedo, with roughly 70 entries. Note that the subscription version is a bit easier to navigate. The hyperlinks work in this pdf, but you can not as easily jump to the different sections.

MỘT SỐ QUÁ TRÌNH NGẪU NHIÊN CÓ BƯỚC NHẢY -/- Hoàng Thị Phương Thảo -/- Luận án Tiến sỹ -/- TRƯỜNG ĐẠI HỌC KHOA HỌC TỰ NHIÊN ĐẠI HỌC QUỐC GIA HÀ NỘI -/- Hà Nội - 2015 .

The intuitive mind is a sacred gift and the rational mind is a faithful servant. We have created a society that honors the servant and has forgotten the gift. – Albert Einstein -/- In my philosophical discussions with elementary school children, I use questions not just to uncover hidden assumptions the children may have, but to lead them to a place of aporia – puzzlement, a place of “not-knowing.” If some children assume that to be brave is to be fearless, (...) I not only ask why they assume this, but go on to ask how it is that we can be called brave, if we’re not even afraid? What’s there to be brave about? With this question, I try to bring the children to a place of “aporia,” a place of puzzlement. Aporia empowers thinking. -/- Philosophy is the pursuit of clear thinking; it is also the pursuit of wisdom, a deeper truth (see quote). -/- Wonder captivates us and connects us to the world around us. In “doing” philosophy with children, this sense of wonder is expanded upon. In their book, Journey of the Universe Swimme and Tucker state, “For or a young mammal, behavior is open-ended in a way that is rarer in adults… In a word, what often occupies their consciousness is play…. they enter into many kinds of relationships out of sheer curiosity.” -/- In doing philosophy with children, we play with ideas. Shobhan Lyons states in her article, “What makes a philosopher?”, in Philosophy Now, “Linking philosophy and truth is a common approach; but I believe that philosophy is less a search for truth and more an engagement with possibilities; …” For example, whereas fear may be a good thing in some instances, it may not be in others. Lying may be necessary in some instances and a good thing (although, it doesn’t imply that lying in itself is a good thing), and in other cases it may be harmful and hurtful. So how do you decide? This is where navigational skills come into play. What may work in some instances may in fact be the entirely wrong thing to do in other cases. So how can you tell? This is where you need to learn how to respond to complex situations. -/- I conclude with examples of aporia questions for 8 picture book stories. “Dragons and Giants,” in Frog and Toad Together, by Arnold Lobel: -/- The question is, are Frog and Toad brave? Children often conclude that to be brave you cannot be afraid. Since Frog and Toad are afraid, they cannot be brave. -/- An aporia question is, whether you can be brave without being afraid? If you are not in the least afraid, what makes you brave? Another aporia question is, whether Frog and Toad would be foolish rather than brave if they were not to jump out of the way of the snake, the avalanche or the hawk. A third aporia question has to do with the question how we know we are foolish or brave when dealing with that which is dangerous. -/- . (shrink)

Since intelligent design (ID) advocates claimed the ubiquitous mouse trap as an example of systems that cannot have evolved, mouse trap history is doubly relevant to studying material culture. On the one hand, debunking ID claims about mouse traps and, by implication, also about other irreducibly complex systems has a high educational value. On the other hand, a case study of mouse trap history may contribute insights to the academic discussion about material culture evolution. Michael Behe argued that mouse traps (...) cannot trap mice with any part missing; therefore, they cannot have a precursor with one part less, therefore, cannot have a continuous history, and therefore, cannot have evolved. The patented and seminal precursor of current flat snap traps, however, had one part less, because spring and striker were formed of one wire. Secondly, historical records that reach back into the Bronze Age suggest that its history continued for a very long time. Thirdly, all prerequisites for evolution (variation, transmission, and selection) abound in mouse trap populations. Hence, Behe’s triple-jump conclusion about mouse traps is false each step. There is no, in principle, impossibility for mouse traps to evolve. An evolutionary account of mouse trap history also has academic merits beyond its educational value. Three important conclusions can be drawn: (1) reticulate phylogenies of artifact systems may be resolvable as overlapping, but branching, phylogenies of parts; (2) homologous ideas may be realized by analogous material, that is, phylogenies of information do not necessarily coincide with those of material parts; (3) recombination of parts between different artifact systems increases the cumulative nature of cultural evolution. (shrink)

The revolution brought about by quantum mechanics in the early 20th century was nothing short of remarkable. It shattered the foundational principles of classical physics, giving rise to a plethora of controversial and intriguing conceptual questions. Questions that still perplex and confound the scientific community today. Is the quantum mechanical description of physical reality complete? Are the objects of nature truly inseparable? And most importantly, do objects not have a specific position before measurement, and are there non-causal quantum jumps? These (...) vital problems continue to garner more attention as time passes, particularly with the fading of positivism. If you're a student seeking to explore the fascinating philosophical foundations of quantum mechanics, this book might be just what you need. Written in Persian, brings you closer to the heart of quantum controversies and the fascinating world of quantum mechanics. (shrink)

The paper discusses the philosophical conclusions, which the interrelation between quantum mechanics and general relativity implies by quantum measure. Quantum measure is three-dimensional, both universal as the Borel measure and complete as the Lebesgue one. Its unit is a quantum bit (qubit) and can be considered as a generalization of the unit of classical information, a bit. It allows quantum mechanics to be interpreted in terms of quantum information, and all physical processes to be seen as informational in a generalized (...) sense. This implies a fundamental connection between the physical and material, on the one hand, and the mathematical and ideal, on the other hand. Quantum measure unifies them by a common and joint informational unit. Furthermore the approach clears up philosophically how quantum mechanics and general relativity can be understood correspondingly as the holistic and temporal aspect of one and the same, the state of a quantum system, e.g. that of the universe as a whole. The key link between them is the notion of the Bekenstein bound as well as that of quantum temperature. General relativity can be interpreted as a special particular case of quantum gravity. All principles underlain by Einstein (1918) reduce the latter to the former. Consequently their generalization and therefore violation addresses directly a theory of quantum gravity. Quantum measure reinterprets newly the “Bing Bang” theories about the beginning of the universe. It measures jointly any quantum leap and smooth motion complementary to each other and thus, the jump-like initiation of anything and the corresponding continuous process of its appearance. Quantum measure unifies the “Big Bang” and the whole visible expansion of the universe as two complementary “halves” of one and the same, the set of all states of the universe as a whole. It is a scientific viewpoint to the “creation from nothing”. (shrink)

This paper is the first major and a thorough study on the Merger & Acquisition (M&A) activities in Vietnam’s emerging market economy, covering almost entirely the M&A history after the launch of Doi Moi. The surge in these activities since mid-2000s by no means incidentally coincides with the jump in FDI and FPI inflows into the nation. M&A industry in Vietnam has its socio-cultural traits that could help explain economic happenings, with anomalies and transitional characteristics, far better than even (...) the most complete set of empirical data. Proceeds from the sales of existing assets and firms have mainly flowed into the highly speculative industries of securities, banking, non-bank financials, portfolio investments and real estates. The impact of M&A on Vietnam’s long-term prosperity is thus highly questionable. An observable high degree of volatility in the M&A processes would likely blow out the high ex ante expectations by many speculators, when ex post realizations finally arrive. The effect of the past M&A evolution in Vietnam has been indecisively positive or negative, with significant presence of rent-seeking and likelihood of causing destructive entrepreneurship. From a socio-economic and cultural view, the degree of positive impacts may result in domestic entrepreneurship which will perhaps be the single most important indicator. (shrink)

Einstein wrote his famous sentence "God does not play dice with the universe" in a letter to Max Born in 1920. All experiments have confirmed that quantum mechanics is neither wrong nor “incomplete”. One can says that God does play dice with the universe. Let quantum mechanics be granted as the rules generalizing all results of playing some imaginary God’s dice. If that is the case, one can ask how God’s dice should look like. God’s dice turns out to be (...) a qubit and thus having the shape of a unit ball. Any item in the universe as well the universe itself is both infinitely many rolls and a single roll of that dice for it has infinitely many “sides”. Thus both the smooth motion of classical physics and the discrete motion introduced in addition by quantum mechanics can be described uniformly correspondingly as an infinite series converges to some limit and as a quantum jump directly into that limit. The second, imaginary dimension of God’s dice corresponds to energy, i.e. to the velocity of information change between two probabilities in both series and jump. (shrink)

Let I be a countable jump ideal in $\mathscr{D} = \langle \text{The Turing degrees}, \leq\rangle$ . The central theorem of this paper is: a is a uniform upper bound on I iff a computes the join of an I-exact pair whose double jump a (1) computes. We may replace "the join of an I-exact pair" in the above theorem by "a weak uniform upper bound on I". We also answer two minimality questions: the class of uniform upper bounds (...) on I never has a minimal member; if ∪ I = L α [ A] ∩ ω ω for α admissible or a limit of admissibles, the same holds for nice uniform upper bounds. The central technique used in proving these theorems consists in this: by trial and error construct a generic sequence approximating the desired object; simultaneously settle definitely on finite pieces of that object; make sure that the guessing settles down to the object determined by the limit of these finite pieces. (shrink)

The well-known Kantian passage on misology in the Foundations of the Metaphysics of Morals starts making fuller sense when located within the framework of Kant writings on philosophy of history where he contrasts civilization with moralization as two different phases in the growth of humankind. In this context, the growth of commerce and manufactures plays a distinctive role, namely that of means of fostering civilization, while pursuing a deceptive goal, namely happiness. Deception plays a basic role in the growth of (...) mankind, in so far as it allows for a hidden twofold teleology in human action. Men, while following the dictates of self-love, are systematically mistaken about the results they actually contribute in bringing about. Commerce brings different peoples into mutual relationship and thus paves the way to a cosmopolitan society. The growth of the arts and sciences provides preconditions for the growth of learned institutions, a free press, and a public opinion that are the basis on which reason may start being used in its critical capacities. This, that is Enlightenment, is a preliminary step to moralization, that is the jump of individuals from a state of minority to a state where they are masters of themselves. The twofold teleology of human action makes room for a system of "pragmatic" ends, and of laws connected to the former, that may be studied rationally in themselves and yet are connected to the higher ends established by reason in its "practical" capacities. (shrink)

Where AR is the set of arithmetic Turing degrees, 0 (ω ) is the least member of { $\mathbf{\alpha}^{(2)}|\mathbf{a}$ is an upper bound on AR}. This situation is quite different if we examine HYP, the set of hyperarithmetic degrees. We shall prove (Corollary 1) that there is an a, an upper bound on HYP, whose hyperjump is the degree of Kleene's O. This paper generalizes this example, using an iteration of the jump operation into the transfinite which is based (...) on results of Jensen and is detailed in [3] and [4]. In $\S1$ we review the basic definitions from [3] which are needed to state the general results. (shrink)

"There is a philosophical question as to what one really sees". Wittgenstein's remark raises all sorts of questions: Does one see tables and chairs, people jumping up and down, their jumps, their sadness ? Does one see colours and forms, coloured forms, dynamic and static, that are above or to the left of other coloured forms ? If the latter, are these things one sees private entities or public entities as are, presumably, tables and chairs ? If both answers are (...) legitimate (sometimes, or whenever we see ?) what are the relations between the people we see and the coloured forms that we also see ? In other words, is what is presented to me in my visual field private, public or partly private and partly public ? (shrink)

The Concepts of Bourdieu's Distinction: A Social Critique of the Judgement of Taste -/- The way Bourdieu introduces foreign concepts (habitus, doxa, logic of practice) is through jumping straight and enthusiastically into his deep thoughts, instead of clearly and logically defining them first. -/- Accepting these dominant characteristics of taste is, according to Bourdieu, a form of \" symbolic violence .\" That is, the fact of considering these distinctions between tastes as natural, and believing that they are necessary, denies the (...) dominated classes the possibility of defining their own world, which puts those with less general capital at a disadvantage. Moreover, even when the dominated social classes come to have their own ideas about what it is \"good taste \"and what is not,\" the aesthetics of the working class is dominated aesthetic, which it is obliged to always defined in terms of the aesthetics of the ruling class . (shrink)

"Jim would still be alive if he hadn't jumped" means that Jim's death was a consequence of his jumping. "x wouldn't be a triangle if it didn't have three sides" means that x's having a three sides is a consequence its being a triangle. Lewis takes the first sentence to mean that Jim is still alive in some alternative universe where he didn't jump, and he takes the second to mean that x is a non-triangle in every alternative universe (...) where it doesn't have three sides. Why did Lewis have such obviously wrong views? Because, like so many of his contemporaries, he failed to grasp the truth that it is the purpose of the present paper to demonstrate, to wit: No coherent doctrine assumes that statements about possible worlds are anything other than statements about the dependence-relations governing our world. The negation of this proposition has a number of obviously false consequences, for example: all true propositions are necessarily true (there is no modal difference between "2+2=4" and "Socrates was bald"); all modal terms (e.g. "possible," "necessary") are infinitely ambiguous; there is no difference between laws of nature (e.g. "metal expands when heated") and accidental generalizations (e.g. "all of the coins in my pocket are quarters"); and there is no difference between the belief that 1+1=2 and the belief that arithmetic is incomplete. Given that possible worlds are identical with mathematical models, it follows that the concept of model-theoretic entailment is useless in the way of understanding how inferences are drawn or how they should be drawn. Given that the concept of formal-entailment is equally useless in these respects, it follows that philosophers and mathematicians have simply failed to shed any light on the nature of the consequence-relation. Q's being either a formal or a model-theoretic consequence of P is parasitic on its bearing some third, still unidentified relation to P; and until this relation has been identified, the discipline of philosophical logic has yet to begin. (shrink)

Within continental philosophy of biology the work of Michel Serres has not received a lot of attention. Nonetheless, this chapter wants to argue that Serres was part of a group of thinkers – together with Jacques Monod and Henri Atlan – that started to think about biology in terms of second-order cybernetics and information theory. Therefore, this chapter aims to do four things. First of all, it maps the relation between Serres and Canguilhem, one that was mediated by authors such (...) as Louis Althusser or Jacques Monod. Secondly, it fleshes out Serres’s own ‘biophilosophy’. I label this alternative tradition as a ‘biophilosophy without a subject’. Finally, this chapter explores the consequences of this alternative biophilosophy through a brief examination of two authors whose work lies in the line of this tradition: René Girard and Bruno Latour. Though at first sight different, they both draw inspiration from this biophilosophy to develop a framework that, paradoxically, ‘jumps over’ the subject. Hence, the reason why biology is neither a prominent theme in Girard’s nor in Latour’s work. This is not because of a lack of biophilosophy, but because of an implicit one: a biophilosophy without a subject. (shrink)

I am arguing that it is only by concentrating on the role of models in theory construction, interpretation and change, that one can study the progress of science sensibly. I define the level at which these models operate as a level above the purely empirical (consisting of various systems in reality) but also indeed below that of the fundamental formal theories (expressed linguistically). The essentially multi-interpretability of the theory at the general, abstract linguistic level, implies that it can potentially make (...) claims about systems in reality, other than the particular one which originally induced it. Any so-called correspondence relation between (systems in) reality and the entities and relations in some scientific theory, thus consists of two jumps or interpretations: from the theory (linguistic level) to some model of it (constructural level); and from there to some system in reality. Clearly then the level of fundamental theories cannot be ignored la Nancy Cartwright - in studying the relations between a theory and reality, because the particular features of the theory (the various systems in reality onto which the theory can be mapped) cannot be studied without the underlying knowledge that these systems have one common feature, namely that each of them is the range (or other pole) of a mapping of a context-specific model of the theory - which in itself, is a mapping, or more specifically, an interpretation of the theory. I am also claiming that the nature of these levels and the relations between them necessitate an epistemological rather than an ontological notion of truth criteria, and a referential rather than a representational link between science and reality. (shrink)

The sequential patterns of the sixty-four hexagrams in the Yijing, variously known as I Ching (the Book of Changes) are structured to embrace the universe of possibilities, scenarios and probabilities. Each hexagram equates to each moment in space-time. With the arrow of time, a string of hexagrams represent a string of moments. A probability curve can be formed from the string of hexagrams. Physicists call this mathematical entity a wave function which is constantly changing and proliferating. A wave function is (...) mathematical representation of all possibilities that can happen to an observed entity when it interacts with an observer. The form of the wave function can be calculated by the Schrodinger wave equation for any part of the range of moments. The string of hexagrams deal with probabilities. Physicists deal mainly with two wave forms and functions – dynamic wave that follows the Schrodinger wave equation and the second phenomenon is the “collapse of the wave function” which is abrupt and discontinuous. Which part of the wave collapses is a matter of probability and chance. The wave transition from the first to the second is call the quantum jump. This exhibited phenomenon is very similar to how the hexagram in the Yijing. When unobserved, the sequential formation of the hexagrams, moment by moment, form a probability wave but when it is observed, it abruptly collapses. It is the abrupt collapse of all the development aspects of the wave function except the one that actualizes and that particular hexagram is therefore the mathematical representation of the observed entity. What spurs all the changes is the energy that flows through the system and all the interacting waves are interconnected and interdependent and they form the energy fields. Emphasis is on the stringed hexagrams, each possesses a sophisticated mathematical structure, suggesting at the same time that it would hold great significance as an integral part of the whole of the wave or energy field. The subject of this paper is on the quantum- informational theoretical framework of Yijing. (shrink)

As it is broadly accepted, typical uses of demonstratives are accompanied by demonstrations. The concept of demonstration, however, manifests the action–product ambiguity analogous to that visible in the opposition between jumping and the resulting jump, talking and the resulting talk or crying and the resulting cry. It is also a heterogeneous concept that enables demonstrations to vary significantly. The present paper discusses action–product ambiguity as applied to demonstrations as well as the heterogeneity of the latter. An account that acknowledges (...) ambiguity and heterogeneity of demonstrations is sketched in the paper. It is argued that it has a rich explanatory and descriptive potential. (shrink)