This article explores the transformative impact of artificial intelligence on deterrence theory, introducing 10 groundbreaking concepts that are reshaping global security dynamics. As traditional deterrence strategies face challenges in an increasingly complex and interconnected world, these innovative approaches leverage AI, complex systems theory, and emerging technologies to create more sophisticated and adaptive deterrence mechanisms. From Chaos Deterrence, which harnesses unpredictability, to Möbius Deterrence, which blurs the lines between offense and defense, these concepts represent a paradigm (...) shift in conflict prevention and strategic stability. The article examines each concept in detail, discussing their potential applications, historical precedents, and contemporary relevance. It also addresses the ethical implications, challenges, and potential risks associated with implementing these AI-driven deterrence strategies. By analyzing these cutting-edge concepts, the article provides valuable insights into the future of global security in the age of artificial intelligence. (shrink)

Zeno’s paradoxes of motion, allegedly denying motion, have been conceived to reinforce the Parmenidean vision of an immutable world. The aim of this article is to demonstrate that these famous logical paradoxes should be seen instead as paradoxes of immobility. From this new point of view, motion is therefore no longer logically problematic, while immobility is. This is convenient since it is easy to conceive that immobility can actually conceal motion, and thus the proposition “immobility is mere illusion of (...) the senses” is much more credible than the reverse thesis supported by Parmenides. Moreover, this proposition is also supported by modern depiction of material bodies: the existence of a ceaseless random motion of atoms—the ‘thermal agitation’—in the scope of contemporary atomic theory, can offer a rational explanation of this ‘illusion of immobility’. Our new approach to Zeno’s paradoxes therefore leads to presenting the novel concept of ‘impermobility’, which we think is a more adequate description of physical reality. (shrink)

A familiar interpretation of quantum mechanics (one of a number of views sometimes labeled the "Copenhagen interpretation'"), takes its empirical apparatus at face value, holding that the quantum wave function evolves by the Schrödinger equation except on certain occasions of measurement, when it collapses into a new state according to the Born rule. This interpretation is widely rejected, primarily because it faces the measurement problem: "measurement" is too imprecise for use in a fundamental physical theory. We argue that this is (...) a weak objection, as there may be many ways of making "measurement" precise. However, measurement-collapse interpretations face a more serious objection: a dilemma tied to the quantum Zeno effect. Is measurement itself an observable that can enter superpositions? If yes, then the standard measurement-collapse dynamics is ill-defined. If no, then (at least if measurement is an observable), measurements can never start or finish. The best way out is to deny that measurement is an observable, but this leads to strong and revisionary consequences. This reinforces the view that there is no nonrevisionary interpretation of quantum mechanics. (shrink)

A deterrence theory of punishment holds that the institution of criminal punishment is morally justified because it serves to deter crime. Because the fear of external sanction is an important incentive in crime deterrence, the deterrence theory is often associated with the idea of severe, disproportionate punishment. An objection to this theory holds that hope of escape renders even the severest punishment inapt and irrelevant. -/- This article revisits the concept of deterrence and defend a more (...) plausible deterrence theory of punishment—the wide-scope deterrence theory. The wide-scope theory holds that we must make the best use of all the deterrence tools available, including both external and internal sanctions. Drawing on insights from the early Confucian tradition, the article develops a deep deterrence theory, which holds that the most important deterrence tool involves internal, not external, sanction. It describes how internal sanctions deter potential offenses and why relevant policies need not conflict with liberalism’s respect for neutrality. (shrink)

It will be shown in this article that an ontological approach for some problems related to the interpretation of Quantum Mechanics (QM) could emerge from a re-evaluation of the main paradox of early Greek thought: the paradox of Being and non-Being, and the solutions presented to it by Plato and Aristotle. More well known are the derivative paradoxes of Zeno: the paradox of motion and the paradox of the One and the Many. They stem from what was perceived by (...) classical philosophy to be the fundamental enigma for thinking about the world: the seemingly contradictory results that followed from the co-incidence of being and non-being in the world of change and motion as we experience it, and the experience of absolute existence here and now. The most clear expression of both stances can be found, again following classical thought, in the thinking of Heraclitus of Ephesus and Parmenides of Elea. The problem put forward by these paradoxes reduces for both Plato and Aristotle to the possibility of the existence of stable objects as a necessary condition for knowledge. Hence the primarily ontological nature of the solutions they proposed: Plato’s Theory of Forms and Aristotle’s metaphysics and logic. Plato’s and Aristotle’s systems are argued here to do on the ontological level essentially the same: to introduce stability in the world by introducing the notion of a separable, stable object, for which a ‘principle of contradiction’ is valid: an object cannot be and not-be at the same place at the same time. So it becomes possible to forbid contradiction on an epistemological level, and thus to guarantee the certainty of knowledge that seemed to be threatened before. After leaving Aristotelian metaphysics, early modern science had to cope with these problems: it did so by introducing “space” as the seat of stability, and “time” as the theater of motion. But the ontological structure present in this solution remained the same. Therefore the fundamental notion ‘separable system’, related to the notions observation and measurement, themselves related to the modern concepts of space and time, appears to be intrinsically problematic, because it is inextricably connected to classical logic on the ontological level. We see therefore the problems dealt with by quantum logic not as merely formal, and the problem of ‘non-locality’ as related to it, indicating the need to re-think the notions system, entity, as well as the implications of the operation ‘measurement’, which is seen here as an application of classical logic (including its ontological consequences) on the material world. (shrink)

. In our research about Fuzzy Time and modeling time, "Unexpected Hanging Paradox" plays a major role. Here, we compare this paradox to the Zeno Paradox and the relations of them with our standard models of continuum and Fuzzy numbers. To do this, we review the project "Fuzzy Time and Possible Impacts of It on Science" and introduce a new way in order to approach the solutions for these paradoxes. Additionally, we have a more general discussion about paradoxes, as (...) Philosophical back ground of the subject and in this way, we introduce the concepts of General View, the first picture, BBF-General View. -/- . (shrink)

This short autodidactic paper compactly introduces the epistemic algorithmic computation (EaC) paradox, a novel analogy to the Turing paradox. Firstly, it is elucidated why in the deepfake era, crafting a provisional solution to the EaC paradox may be beneficent as it may shed more light on one ingrained consequence of the prevailing algorithmic supremacy paradigm: the retrospective obsolescence of the entire biosphere in the game of life precipitated by algorithms instantiated on inert matter. Secondly, the paper analyzes and deconstructs the (...) EaC paradox elucidating why it is contingent on a mirage that can be dissolved by interpreting it as a manifestation of what one could call the epistemic Zeno-effect. There exists at least one computational task where the minimal latency of algorithmic computation would lead to epistemic stagnation – leading to an advantage for slower non-algorithmic computational alternatives. Peculiarly, the latter may be caused by the very lawfulness of nature subsuming both cellular and conscious supremacy. (shrink)

On Zeno Beach there are infinitely many grains of sand, each half the size of the last. Supposing Aristotle denied the possibility of Zeno Beach, did he have a good argument for the denial? Three arguments, each of ancient origin, are examined: the beach would be infinitely large; the beach would be impossible to walk across; the beach would contain a part equal to the whole, whereas parts must be lesser. It is attempted to show that none of (...) these arguments was Aristotle’s. Indeed, perhaps Aristotle’s finitism applied to magnitude only, not plurality. (shrink)

We outline Brentano’s theory of boundaries, for instance between two neighboring subregions within a larger region of space. Does every such pair of regions contain points in common where they meet? Or is the boundary at which they meet somehow pointless? On Brentano’s view, two such subregions do not overlap; rather, along the line where they meet there are two sets of points which are not identical but rather spatially coincident. We outline Brentano’s theory of coincidence, and show how he (...) uses it to resolve a number of Zeno-like paradoxes. (shrink)

This is a presentation of the utilitarian approach to punishment. It is meant for students. A note added in July, 2022 advises the reader about the author's current views on some topics in the paper. The first section discusses Bentham's psychological hedonism. The second briefly criticizes it. The third section explains abstractly how utilitarianism would determine of the right amount of punishment. The fourth section applies the theory to some cases, and brings out how utilitarianism could favor punishments more or (...) less severe than the lex talionis. (shrink)

In this paper I explore the degree to which the most plausible versions of a Kantian approach to punishment differ from plausible versions of a consequentialist approach with regard to the permissibility of deterrence. I begin by examining the Formula of Humanity. Perhaps surprisingly, I show that the most plausible statement of this principle does not even mention the idea of treating people merely as a means. The other crucial claim in that principle—that we must treat people as ends—is (...) in fact the operative idea. The best interpretation of the Formula of Humanity makes Kantianism a basically ‘objective’ moral theory, in a sense to be explained, as is consequentialism. After defending my interpretation of the formula I go on to consider a recent theory of punishment developed by Victor Tadros that appeals to a principle paralleling the Formula of Humanity, the Means Principle. I argue that the Means Principle is not a plausible moral principle by using arguments that derive from my interpretation of the Formula of Humanity. The Means Principle is therefore unsuited to be the way to frame a discussion of whether deterrent punishments are permissible. In Section IV I discuss a version Kantian moral theory that can be seen as based on a proper interpretation of the Formula of Humanity. This version, drawing on the work of John Rawls, permits the pursuit of deterrence. This suggests that Kantianism and consequentialism are not divided on the issue of the permissibility of deterrence. In the final section I note one reason for thinking that further features of the consequentialist approach to deterrence make it superior to the Kantian-Rawlsian. (shrink)

Many philosophers accept a ‘layered’ world‐view according to which the facts about the higher ontological levels supervene on the facts about the lower levels. Advocates of such views often have in mind a version of atomism, according to which there is a fundamental level of indivisible objects known as simples or atoms upon whose spatiotemporal locations and intrinsic properties everything at the higher levels supervenes.1 Some, however, accept the possibility of ‘gunk’ worlds in which there are parts ‘all the way (...) down’ such that there are no simples and insofar as composite objects exist these are composed of smaller objects which in turn are composed of smaller objects, and so on. It may nonetheless still be claimed that the facts about each ontological level supervene on the facts about the lower levels. (shrink)

لا شك أن مفارقات زينون في الحركة قد تم تناولها – تحليلاً ونقدًا – في كثيرٍ من أدبيات العلم والفلسفة قديمًا وحديثًا، حتى لقد ساد الظن بأن ملف المفارقات قد أغُلق تمامًا، لاسيما بعد أن نجح الحساب التحليلي في التعامل منطقيًا مع صعوبات الأعداد اللامتناهية، لكن الفرض الأساسي لهذا البحث يزعم عكس ذلك؛ أعني أن الملف مازال مفتوحًا وبقوة – خصوصًا على المستوى الرياضي الفيزيائي – وأن إغلاقه النهائي قد لا يتم في المستقبل القريب. من جهة أخرى، إذا كانت فكرة (...) وجود العالم ذاته – مصدر مشكلاتنا الفلسفية – لا معنى لها إلا في إطار نسقٍ من التصورات التي تُصاغ بالضرورة في لغة، ومن ثم يُصبح العالم كيانًا كوّنته أساليبنا اللغوية في وصفه، فإن ما يواجهنا دومًا هو السؤال الكانطي المُعضل: إذا كانت اللغة ليست مرآة عاكسة للواقع الفعلي – أو للشيء في ذاته – وإنما للواقع كما تدركه الذات وتؤسلبه، ألا يعني ذلك أن وجودنا ذاته ووجود العالم مجرد فكرة تقطع الصلة بين العوالم الممكنة والعالم الفعلي؟. (shrink)

There was a time in my school years when I have learned about Achilles and Tortoise “paradox” originated from Zeno. It was then clear that the ancient Greeks were arguing about this problem but contemporary science has clarified the issue. Yet to my surprise the problem is still debated over and over, despite the fact there exist mathematical proofs. I feel like reminding myself why this is not a paradox beyond reasonable doubt. This is a draft to a section (...) of a future publication. (shrink)

This article attempts to elucidate the phenomenon of time and its relationship to consciousness. It defends the idea that time exists both as a psychological or illusory experience, and as an ontological property of spacetime that actually exists independently of human experience.

This paper aims to explore the nature of Zeno-machines by examining their conceptual coherence, from the perspective of contemporary theories on the passage of time. More specifically, it will analyse the following questions: Are Zeno-machines and supertasks coherent if we adopt the eternalist theory of time? What conclusions can be drawn from choosing the eternalist thesis, or the presentist thesis, when examining Zeno-machines? To this end, an overview of the opposing theories of time is provided, alongside the (...) usual objections to Zeno-machines and their theoretical foundations from Zeno’s dichotomy paradox. Keywords: Zeno-machines, philosophy of time, supertasks, Zeno’s paradox. (shrink)

While Aristotle provides the crucial testimonies for the paradoxes of motion, topos, and the falling millet seed, surprisingly he shows almost no interest in the paradoxes of plurality. For Plato, by contrast, the plurality paradoxes seem to be the central paradoxes of Zeno and Simplicius is our primary source for those. This paper investigates why the plurality paradoxes are not examined by Aristotle and argues that a close look at the context in which Aristotle discusses Zeno holds the (...) answer to this question. (shrink)

Zeno’s Arrow and Nāgārjuna’s Fundamental Wisdom of the Middle Way Chapter 2 contain paradoxical, dialectic arguments thought to indicate that there is no valid explanation of motion, hence there is no physical or generic motion. There are, however, diverse interpretations of the latter text, and I argue they apply to Zeno’s Arrow as well. I also find that many of the interpretations are dependent on a mathematical analysis of material motion through space and time. However, with modern philosophy (...) and physics we find that the link from no explanation to no phenomena is invalid and that there is a valid explanation and understanding of physical motion. Hence, those arguments are both invalid and false, which banishes the MMK/2 and The Arrow under this and derivative interpretations to merely the history of philosophy. However, a view that maintains their relevance is that each is used as a koan or sequence of koans designed to assist students in spiritual meditation practice. This view is partly justified by the realization that both Nāgārjuna and Zeno were likely meditation masters in addition to being logicians. The works are, therefore, not works that should be assessed as having valid arguments and true conclusions by the standards of modern analytic philosophy—contrary to some of the literature—but rather are therapeutic and perhaps more appropriately considered as part of an experientially focused philosophy such as existentialism, phenomenology or religion. (shrink)

This study aims to determine driving factors significantly influencing the purchase intention and to identify impediments creating the intention –behavior gap regarding organic food consumption in Vietnam. The chosen driving factors affecting the organic food purchase intention in this study are health benefits, environmental awareness, and social norms, whereas trust, price, and convenience as well as availability are investigated as deterrent factors of the link between intention and behavior. A structured online questionnaire with snow-balling sampling method was distributed to collect (...) a representative sample of 466 Vietnamese consumers nationwide. A five-point likert scale was used for the level of approval for 36 statements. Statistical tools of SPSS 22.0 including descriptive analysis, principal component analysis, and multiple regression analysis models were used for data analysis. The results showed that health benefits, environmental awareness, and social norms were facilitators of organic food purchase intention. Although high intention to purchase organic foods was identified in Vietnam, it was not translated into actual purchase behavior. The main barriers for the inconsistency were premium price and low availability of organic products or inconvenience to buy in the market. Lack of trust insignificantly impacted on organic food choices among Vietnamese consumers in this study. These empirical findings and suggestions are beneficial for all players across supply chains. (shrink)

In der vorliegenden Arbeit soll eine Lösung der zenonischen Paradoxie des ruhenden Pfeils vorgestellt werden, die auf möglichen Implikationen des Kontiguumbegriffs beruht, wie ihn Leibniz in mehreren Arbeiten zu den Grundlagen der Dynamik entwickelt hat. Wesentlich sind dabei wechselseitige thematische Bezüge seiner Theoria Motus Abstracti und seines Dialogs Pacidius Philalethi. Aus der von Leibniz durchgeführten Analyse des Kontiguums als einer Voraussetzung der Möglichkeit von Bewegung ergibt sich, daß das (scheinbar zwischen Kontinuum und Diskretheit angesiedelte) Kontiguum - in heutiger Terminologie - (...) nicht durch solche Merkmale wie Mächtigkeit oder Dichte bestimmt werden kann, sondern vielmehr eine besondere (topologische) Zusammenhangsstruktur aufweisen muß. In der Arbeit wird gezeigt, daß die dynamisch begründeten Anforderungen an eine solche Zusammenhangsstruktur von geeigneten topologischen Modellen einer Kette erfüllt werden. (shrink)

- Applying the law of conservation of time to solve the Achilles and the tortoise paradox. - Applying the smallest unit of time T_min in the universe to solve the Dichotomy paradox. - Applying the disappearing property of matter when moving to solve the Arrow paradox.

Gauthier claims: (1) a non-maximizing action is rational if it maximized to intend it. If one intended to retaliate in order to deter an attack, (2) retaliation is rational, for it maximized to intend it. I argue that even on sympathetic theories of intentions, actions and choices, (1) is incoherent. But I defend (2) by arguing that an action is rational if it maximizes on preferences it maximized to adopt given one's antecedent preferences. (2) is true because it maximized to (...) adopt preferences on which it maximizes to retaliate. I thus save the theory that rational actions must maximize, and extend it into the rational criticism of preferences. (shrink)

Zeno's paradox of Achilles and Tortoise is relevant only when Achilles and the tortoise move at different speeds but not if they ever move at the same speed but different directions. Or not relevant if there is in addition a kind of space in which they move at the same speed contrary to appearances. -/- According to a principle of special relativity the more an object moves in coordinate space the less it moves in coordinate time. If the relative (...) speed between Achilles and the tortoise is v, after T passage of time, from the point of view of the tortoise, Achilles moves vT in coordinate space and wT in coordinate time. The framework of special relativity wholly describes the motion of both if v^2 + w^2 = C^2 where C is the speed of light. -/- Achilles and the Tortoise phenomenally (ordinary 3-dimensional conception of space) move at different speeds, but noumenally (in 4-dimensional spacetime) move at the same speed C. (shrink)

Thought experiments are common where infinitely many entities acting in concert give rise to strange results. Some of these cases, however, can be generalized to yield almost omnipotent systems from limited materials. This paper discusses one of these cases, bringing out one aspect of what seems so troubling about "New Zeno" cases. -/- This paper is in memory of Josh Parsons.

I examine the reasons Aristotle presents in Physics VIII 8 for denying a crucial assumption of Zeno’s dichotomy paradox: that every motion is composed of sub-motions. Aristotle claims that a unified motion is divisible into motions only in potentiality (δυνάμει). If it were actually divided at some point, the mobile would need to have arrived at and then have departed from this point, and that would require some interval of rest. Commentators have generally found Aristotle’s reasoning unconvincing. Against David (...) Bostock and Richard Sorabji, inter alia, I argue that Aristotle offers a plausible and internally consistent response to Zeno. I defend Aristotle’s reasoning by using his discussion of what to say about the mobile at boundary instants, transitions between change and rest. There Aristotle articulates what I call the Changes are Open, Rests are Closed Rule: what is true of something at a boundary instant is what is true of it over the time of its rest. By contrast, predications true of something over its period of change are not true of the thing at either of the boundary instants of that change. I argue that this rule issues from Aristotle’s general understanding of change, as laid out in Phys. III. It also fits well with Phys. VI, where Aristotle maintains that there is a first boundary instant included in the time of rest, but not a “first in which the mobile began to change.” I then show how this rule underlies Aristotle’s argument that a continuous motion cannot be composed of actual sub-motions. Aristotle distinguishes potential middles, points passed through en route to a terminus, from actual middles. The Changes are Open, Rests are Closed Rule only applies to actual middles, because only they are boundaries of change that the mobile must arrive at and then depart from. On my reading, Aristotle argues that the instant of arrival, the first instant at which the mobile has come to be at the actual middle, cannot belong to the time of the subsequent motion. If it did, the mobile would already be moving towards the next terminus and thus, per Phys. VI 6, would have already left. But it cannot have moved away from the midpoint at the very same moment it has arrived there. This means that the instant of arrival must be separated from the time of departure by an interval of rest. I show how Aristotle’s reasoning applies generally to rule out any continuous reflexive motion or continuous complex rectilinear motion. On my interpretation, however, the argument does not apply to every change of direction. When, as in the case of projectile motion, multiple movers and their relative powers explain why the mobile changes directions, distinct sub-motions are not involved. Aristotle holds that such motions cannot be continuous, not because they involve intervals of rest, but because they involve multiple causes of motion. My interpretation of the Changes are Open, Rests are Closed Rule allows us to make better sense of Aristotle’s argument than any previous interpretation. (shrink)

According to deterrence justifications of legal punishment, legal punishment is justified at least in part because it deters offenses. These justifications rely on important empirical assumptions, e.g., that non-punitive enforcement can't deter or that it can't deter enough. I’ll challenge these assumptions and argue that extant deterrence justifications of legal punishment fail. In the process, I examine contemporary deterrence research and argue that it provides no support for these justifications.

Suppose that state A attacks state D without warrant. The ensuing military conflict threatens international peace and security. State D (I assume) has a justification for defending itself by means of military force. Do third parties have a justification for intervening in that conflict by such means? To international public lawyers, the well-rehearsed and obvious answer is “yes.” Threats to international peace and security provide one of two exceptions to the legal and moral prohibition (as set out in Article 2[4] (...) of the UN Charter) on using force as a means for resolving interstate disputes. Just war theorists are not as verdictive. Compared to the ethics of humanitarian intervention and the ethics of national self-defense, the ethics of third-party military involvement in interstate conflicts remains underdeveloped in contemporary just war theory. This essay begins to fill that gap. I argue that to defend such interventions is tantamount to defending preventive military force, deterrent military force, and the resort to force in more cases than standardly thought. I then provide an account and limited defense of the deterrence argument. I show that deterrence is morally justified in relatively few cases and examine two problems with the argument: deterrence failures and the level of uncertainty under which leaders who use deterrent force operate. I conclude that we should take seriously the possibility that nonintervention, construed as the rejection of the direct use of military force, is the morally correct response to the most serious threats to international peace and security. (shrink)

on ontologs, or words that are the thing they name; a volitional solution to Zeno's Line and Arrow paradoxes; on Sokal as unintentional non-parody; and more.

The four antinomies of Zeno of Elea, especially Achilles and the tortoise continue to be provoking issues which are even now not always satisfactory solved. Aristotle himself used this antinomy to develop his understanding of movement: it is a fluent continuum that has to be treated as a whole. The parts, if any, are only potentially present in the whole. And that is exactly what quantum mechanics is claiming: movement is quantized in contrast to classical mechanics. The objective of (...) this study is to show the merits of the Aristotelian approach. It is a good candidate for serving as the philosophical background for understanding fundamental aspects of quantum mechanics. Especially mentioned are the influence of the final state in quantum mechanics that in philosophy could be correlated with the final cause. Like in the work of Aristotle also in this study examples from science are presented to illustrate the philosophical approach. But, in contrast to ancient Greek, the examples now relate to issues which are only fully accessible to the scientifically trained reader. As the main conclusion the dialogue between scientists and philosophers is strongly recommended which will result in progress in both disciplines. (shrink)

In this chapter, I consider contemporary consequentialist theories of punishment. Consequentialist theories of punishment look to the consequences of punishment to justify the institution of punishment. Two types of theories fall into this category—teleology and aggregationism. I argue that teleology is implausible as it is based on a problematic assumption about the fundamental value of criminal punishment, and that aggregationism provides a more reasonable alternative. Aggregationism holds that punishment is morally justified because it is an institution that helps society to (...) aggregate important moral values. Several theories fall into this category, including general deterrence theories, specific deterrence theories, and preventionism. I critically evaluate these theories and argue that only one specific deterrence theory, namely, my rights-protection theory, provides the most reasonable consequentialist account of punishment. (shrink)

This paper targets a nearly universal assumption in the philosophical literature: that prepunishment is unproblematic for consequentialists. Prepunishment threats do not deter, as deterrence is traditionally conceived. In fact, a pure prepunishment legal system would tend to increase the criminal disposition of the grudgingly compliant. This is a serious problem since, from many perspectives, but especially from a consequentialist one, a primary purpose of punishment is deterrence. I analyze the decision theory behind pre and postpunishments, which helps clarify (...) both what deterrence is and how it operates in consequentialist justifications of punishment. I end by sketching a road map for the future of prepunishment as artificial intelligence and other technological advances generate increasing possibilities for its use. (shrink)

This article formulates a deterrence theory of punishment based on Lockean premises. Following authors such as Warren Quinn and Daniel Farrell, it is claimed that a justification for the right to punish must be built upon the recognition of the importance of a right to issue retaliatory threats. Contrary to those authors, however, the articulation of such recognition is made within a Lockean theory of individual rights. This allows us to appreciate the specific role deterrence has in a (...) plausible conception of punishment, and thus address certain objections that have been formulated recently, especially by David Boonin. (shrink)

An analysis of the counter-intuitive properties of infinity as understood differently in mathematics, classical physics and quantum physics allows the consideration of various paradoxes under a new light (e.g. Zeno’s dichotomy, Torricelli’s trumpet, and the weirdness of quantum physics). It provides strong support for the reality of abstractness and mathematical Platonism, and a plausible reason why there is something rather than nothing in the concrete universe. The conclusions are far reaching for science and philosophy.

Much of the debate about the mathematical refutation of Zeno’s paradoxes surrounds the logical possibility of completing supertasks—tasks made up of an infinite number of subtasks. Max Black and J.F. Thomson attempt to show that supertasks entail logical contradictions, but their arguments come up short. In this paper, I take a different approach to the mathematical refutations. I argue that even if supertasks are possible, we do not have a non-question-begging reason to think that Achilles’ supertask is possible. The (...) justification for the possibility of Achilles’ supertask lies in the possibility of him completing other supertasks of the same kind, and the justification for the possibility of him completing these other supertasks lies in the possibility of him completing yet more supertasks ad infinitum. (shrink)

This article assesses how autonomy and machine learning impact the existential risk of nuclear war. It situates the problem of cyber security, which proceeds by stealth, within the larger context of nuclear deterrence, which is effective when it functions with transparency and credibility. Cyber vulnerabilities poses new weaknesses to the strategic stability provided by nuclear deterrence. This article offers best practices for the use of computer and information technologies integrated into nuclear weapons systems. Focusing on nuclear command and (...) control, avoiding autonomy and machine learning is recommended as one means to reduce the existential risk of unintended nuclear conflict. (shrink)

T. M. Scanlon’s contractualism is a meta-ethical theory that explains moral motivation and also provides a conception of how to carry out moral deliberation. It supports non-consequentialism – the theory that both consequences and deontological considerations are morally significant in moral deliberation. Regarding the issue of punishment, non-consequentialism allows us to take account of the need for deterrence as well as principles of fairness, justice, and even desert. Moreover, Scanlonian contractualism accounts for permissibility in terms of justifiability: An act (...) is permissible if and only if it can be justified to everyone affected by it. This contractualist thesis explains why it is always impermissible to frame an innocent person, why vicarious punishment is impermissible, and why there has to be a cap on sentences. Contractualism therefore allows us to take deterrence as a goal of punishment without the excess of utilitarianism. This paper further argue that the resulting view is superior to pure retributivism. Finally, it shows why legal excuses and mitigation can be justified in terms of the notion of negative desert. (For access to this paper: http://www.tandfonline.com/eprint/sJ2JBVXkztyFMGmxS7tS/full ) . (shrink)

In this paper I investigate central temporal and spatial notions in the second part of Plato’s Parmenides and argue that also these notions, and not only the metaphysical ones usually discussed in the literature, can be understood as a response to positions and problems put on the table by Parmenides and Zeno. Of the spatial notions examined in the dialogue, I look at the problems raised for possessing location and shape, while with respect to temporal notions, I focus on (...) the discussion of ‘being in time’ and exaiphnês (the latter notion will be shown to be also an important influence for Aristotle’s Physics). In displaying a paradoxical character and taking up crucial notions from Parmenides, the second part of the Parmenides seems to display some resemblance to Zeno’s paradoxes. I will show, however, that in contrast to Zeno, the second part of Plato’s Parmenides also demonstrates Parmenides’ One to be problematic on its own terms. Furthermore, the dialogue presents not only important problems that these spatial and temporal notions seem to lead us into, but also establishes some positive features necessary to think of time and space. In this way, Plato’s Parmenides can be seen as contributing to the development of temporal and spatial conceptualisations in ancient Greek thought. (shrink)

Autonomous and automatic weapons would be fire and forget: you activate them, and they decide who, when and how to kill; or they kill at a later time a target you’ve selected earlier. Some argue that this sort of killing is always wrong. If killing is to be done, it should be done only under direct human control. (E.g., Mary Ellen O’Connell, Peter Asaro, Christof Heyns.) I argue that there are surprisingly many kinds of situation where this is false and (...) where the use of Automated Weapons Systems would in fact be morally required. These include cases where a) once one has activated a weapon expected then to behave lethally, it would be appropriate to let it continue because this is part of a plan whose goodness one was best positioned to evaluate before activating the weapon; b) one expects better long-term consequences from allowing it to continue; c) allowing it to continue would express a decision you made to be resolute, a decision that could not have advantaged you had it not been true that you would carry through with it; d) the weapon is mechanically not recallable, so that, to not allow it to carry through, you would have had to refrain from activating it in the first place, something you expected would have disastrous consequences; e) you must deputize necessary killings to autonomous machines in order to protect yourself from guilt you shouldn’t have to bear; f) it would be morally better for the burden of responsibility for the killing to be shared among several agents, and the agents deputizing killing to machines can do this, especially where it’s not predictable which machine will be successful; g) a killing would be morally better done with elements of randomness and lack of deliberation, and a (relatively stupid) machine could do this where a person could not; h) the machine would be acting as a Doomsday Device, so that it could not have had its hoped for deterrent effect had you not ensured that you would be unable to recall it if enemy action activated it; i) letting it carry through is a necessary part of its own learning process, and you expect that this learning will have salutary effects later on; j) human intervention in the machine’s operation would disastrously impair its precision, or its speed and efficiency; k) using non-automated methods would require human resources you just don’t have in a task that nevertheless must be done (e.g., using land-mines to protect remote installations); l) the weapon has such horrible and indiscriminate power that it is doubtful whether it could be actually used in ways compatible with International Humanitarian Law and the Laws of War, which require that weapons be used only in ways respecting distinctness, necessity and proportionality, but its threat of use could respect these principles in affording deterrence provided human error cannot lead to their accidental deployment, this requiring that they be controlled by carefully designed autonomous and automatic systems. I then consider objections based on conceptions of human dignity and find that very often dignity too is best served by autonomous machine killing. Examples include saving your village by activating a robot to kill invading enemies who would inflict great indignity on your village, using a suicide robot to save yourself from a less dignified death at enemy hands, using a robotic drone to kill someone otherwise not accessible in order to restore dignity to someone this person killed and to his family, and using a robot to kill someone who needs killing, but the killing of whom by a human executioner would soil the executioner’s dignity. I conclude that what matters in rightful killing isn’t necessarily that it be under the direct control of a human, but that it be under the control of morality; and that could sometimes require use of an autonomous or automated device. (This paper was formerly called "Fire and Forget: A Defense of the Use of Autonomous Weapons in War" on Philpapers; the current title is the title of the published version.). (shrink)

This paper investigates the view that digital hypercomputing is a good reason for rejection or re-interpretation of the Church-Turing thesis. After suggestion that such re-interpretation is historically problematic and often involves attack on a straw man (the ‘maximality thesis’), it discusses proposals for digital hypercomputing with Zeno-machines , i.e. computing machines that compute an infinite number of computing steps in finite time, thus performing supertasks. It argues that effective computing with Zeno-machines falls into a dilemma: either they are (...) specified such that they do not have output states, or they are specified such that they do have output states, but involve contradiction. Repairs though non-effective methods or special rules for semi-decidable problems are sought, but not found. The paper concludes that hypercomputing supertasks are impossible in the actual world and thus no reason for rejection of the Church-Turing thesis in its traditional interpretation. (shrink)

The goal of this essay is to explore "the highly contested nature of [decision-making through adopting] a historically comparative and interdisciplinary approach." Internalist history of game theory treats decision theory as a science of making choices to maximize expected gain. Game theory is applied to nuclear deterrence and military strategy, building markets and designing institutions, analyzing collective action, developing jurisprudence, and addressing crime and punishment. This essay draws on recent historiography of Cold War decision-making to draw into focus the (...) constructive aspects of decision theory to argue that the perceived need to avoid worst-case scenarios has instead contributed to a world in which the worst outcome is probabilistically assured to occur over the long duree timeframe. (shrink)

To the normal reasons that we think can justify one in preferring something, x (namely, that x has objectively preferable properties, or has properties that one prefers things to have, or that x's obtaining would advance one's preferences), I argue that it can be a justifying reason to prefer x that one's very preferring of x would advance one's preferences. Here, one prefers x not because of the properties of x, but because of the properties of one's having the preference (...) for x. So-revising one's preferences is rational in paradoxical choice situations like Kavka's Deterrence Paradox. I then try to meet the following objections: that this is stoicist, incoherent, bad faith; that it conflates instrumental and intrinsic value, gives wrong solutions to the problems presented by paradoxical choice situations, entails vicious regresses of value justification, falsifies value realism, makes valuing x unresponsive to x's properties, causes value conflict, conflicts with other standards of rationality, violates decision theory, counsels immorality, makes moral paradox, treats value change as voluntary, conflates first- and second-order values, is psychologically unrealistic, and wrongly presumes that paradoxical choice situations can even occur. (shrink)

We provide a new interpretation of Zeno’s Paradox of Measure that begins by giving a substantive account, drawn from Aristotle’s text, of the fact that points lack magnitude. The main elements of this account are (1) the Axiom of Archimedes which states that there are no infinitesimal magnitudes, and (2) the principle that all assignments of magnitude, or lack thereof, must be grounded in the magnitude of line segments, the primary objects to which the notion of linear magnitude applies. (...) Armed with this account, we are ineluctably driven to introduce a highly constructive notion of (outer) measure based exclusively on the total magnitude of potentially infinite collections of line segments. The Paradox of Measure then consists in the proof that every finite or potentially infinite collection of points lacks magnitude with respect to this notion of measure. We observe that the Paradox of Measure, thus understood, troubled analysts into the 1880’s, despite their knowledge that the linear continuum is uncountable. The Paradox was ultimately resolved by Borel in his thesis of 1893, as a corollary to his celebrated result that every countable open cover of a closed line segment has a finite sub-cover, a result he later called the “First Fundamental Theorem of Measure Theory.” This achievement of Borel has not been sufficiently appreciated. We conclude with a metamathematical analysis of the resolution of the paradox made possible by recent results in reverse mathematics. (shrink)

When people are united in their suffering for a common cause, that which binds them together is always stronger than their differences. The bond is even sturdier when religious motives define their common convictions. For this reason, during martyrdom, those who are persecuted create peculiar reli - gious identity through their common belief in God. This identity generates a socializing bond which makes them resolute in their united witness to the su - bject of their faith. This was the case (...) with the nineteenth-century Ugandan martyrs who died during the reign of the morally debased King Kabaka Mwan - ga. The novelty of this work consists in accentuating the ecumenicity of the Ugandan martyrdom that came into prominence, inter alia , through the Roman Catholic processes of canonization. It is so because there is no research work that has highlighted the fact that Anglicans and Lutherans were equally put to death in their defence of the Christian beliefs and morality alongside the Ro - man Catholics. For this reason, this work underlines how an inclusive narrative of the East-African Christian witness to the truth of the gospel brings out the ecumenicity of the Ugandan martyrologic events. Theoretical frameworks of deterrence and group memory were used in the understanding martyrdom and common witnessing in Uganda. In their united witnessing to the Christian faith, the Ugandan martyrs overcame the shackles of denominational divide that co - uld have weakened their common resolve to stand for Christ. Therefore, Chri - stians in contemporary African continent are called to re-receive the spirit of united witnessing to Christ as exhibited by the Ugandan martyrs since this will go a long way to: healing the wounds caused by denominational rivalry, con - trolling the tendency of tearing one another apart because of ethnic interests, sustaining common witness to truth and justice, encouraging all those suffering for their belief in Christ (no matter their denominational rootedness) to stand firm, and strengthening the spiritual bond that connects together all believers in Christ. (shrink)

This article advances a critical analysis of John Rawls’s justification of liberal democratic nuclear deterrence in the post-Cold War era as found in The Law of Peoples. Rawls’s justification overlooked how nuclear-armed liberal democracies are ensnared in two intransigent ethical dilemmas: one in which the mandate to secure liberal constitutionalism requires both the preservation and violation of important constitutional provisions in domestic affairs, and the other in which this same mandate requires both the preservation and violation of the liberal (...) commitment to international legal arrangements and to the rule of law generally. On this view, the choice to violate constitutional provisions and international legal arrangements is evidence of nuclear despotism. Moreover, this choice does not imply that the ethical foreign policy dilemmas were resolved. Instead, it implies that the dilemmas force liberal democratic governments into implementing ethically paradoxical policy outcomes. (shrink)

I discuss the quantum mechanical theory of consciousness and freewill offered by Stapp (1993, 1995, 2000, 2004). First I show that decoherence-based arguments do not work against this theory. Then discuss a number of problems with the theory: Stapp's separate accounts of consciousness and freewill are incompatible, the interpretations of QM they are tied to are questionable, the Zeno effect could not enable freewill as he suggests because weakness of will would then be ubiquitous, and the holism of measurement (...) in QM is not a good explanation of the unity of consciousness for essentially the same reason that local interactions may seem incapable of accounting for it. (shrink)

…A reconstructed imaginal account of Alexander’s (the Great) historical letter to Aristotle pursuant to his (in-) famous meeting with the gymnosophist Dandimus on the paradoxes of Zeno ( presaging those of Nagarjuna ) as a means of presenting a synthesis of the stasis and dynamism implicit in the potential of a phenomenally real world beyond a rigid designation of a chain-of-being taxonomy where animal dignity resides side by side with predator-prey relations and a mind-laden ( theory ) of evolution.

Extending on an earlier paper [Found. Phys. Ltt., 16(4) 343–355, (2003)], it is argued that instants of time and the instantaneous (including instantaneous relative position) do not actually exist. This conclusion, one which is also argued to represent the correct solution to Zeno’s motion paradoxes, has several implications for modern physics and for our philosophical view of time, including that time and space cannot be quantized; that contrary to common interpretation, motion and change are compatible with the “block” universe (...) and relativity; and that time, space, and space-time too, cannot exist. Instead, motion and change become the major players. (shrink)