"No, your honor. I didn't know who or what he was when I first came across the book -- they don't exactly love him in the synagogue, if you've read the story of his life. I found it in a junkyard in a nearby town, paid a kopek, and left cursing myself for wasting money hard to come by. Later I read through a few pages and kept on going as though there were a whirlwind at my back. As (...) I say, I didn't understand every word but when you're dealing with such ideas you feel as though you were taking a witch's ride. After that I wasn't the same man. That's in a manner of speaking, of course, because I've changed little since my youth.". The speaker is Yakov Bok, the unlikely hero of Bernard Malamud's The Fixer. At this point, early in the novel, Yakov speaks truthfully when he says that he has changed little since his youth. But over the next two and a half years (the time-period covered in the novel), he will undergo profound change and impressive moral growth. He suffers; he learns; he grows. Spinoza's name and ideas appear again and again at crucial moments in the course of the hero's moral development. Yakov Bok's verbal account of Spinoza's ideas is often comically primitive, but his understanding far outstrips his ability to articulate. By the end of the novel, his sufferings have led him to a deep grasp of certain of Spinoza's ethical and political doctrines. (shrink)

A theory of the structure and cognitive function of the human imagination that attempts to do justice to traditional intuitions about its psychological centrality is developed, largely through a detailed critique of the theory propounded by Colin McGinn. Like McGinn, I eschew the highly deflationary views of imagination, common amongst analytical philosophers, that treat it either as a conceptually incoherent notion, or as psychologically trivial. However, McGinn fails to develop his alternative account satisfactorily because (following Reid, Wittgenstein and Sartre) he (...) draws an excessively sharp, qualitative distinction between imagination and perception, and because of his flawed, empirically ungrounded conception of hallucination. His arguments in defense of these views are rebutted in detail, and the traditional, passive, Cartesian view of visual perception, upon which several of them implicitly rely, is criticized in the light of findings from recent cognitive science and neuroscience. It is also argued that the apparent intuitiveness of the passive view of visual perception is a result of mere historical contingency. An understanding of perception (informed by modern visual science) as an inherently active process enables us to unify our accounts of perception, mental imagery, dreaming, hallucination, creativity, and other aspects of imagination within a single coherent theoretical framework. (shrink)

A brief historical and conceptual account of the concept of imagination.

Co-authored letter to the APA to take a lead role in the recognition of teaching in the classroom, based on the participation in an interdisciplinary Conference on the Role of Advocacy in the Classroom back in 1995. At the time of this writing, the late Myles Brand was the President of Indiana University and a member of the IU Department of Philosophy.

The study’s goal was to provide an educational intervention in Algebra through GeoGebra that would boost students’ confidence, improve their learning, and correct their most minor mastered skills, allowing them to improve their Algebra performance. The research design was quasi-experimental, with 40 nonrandomly chosen participants comprising the GeoGebra and control groups. Mean and standard deviation was employed to describe the algebra performance and confidence of the respondents. At the same time, independent and dependent t-tests were used to determine the students’ (...) significant difference in algebra performance and confidence in the pre-and post-test between the control and GeoGebra groups. GeoGebra effectively improved algebra confidence, enhanced learning, and remedied the students’ least mastered skills. GeoGebra is recommended as an instructional material in teaching and learning Algebra and can be extended to other mathematics content areas. (shrink)

Given any proposition, is it possible to have rationally acceptable attitudes towards it? Absent reasons to the contrary, one would probably think that this should be possible. In this paper I provide a reason to the contrary. There is a proposition such that, if one has any opinions about it at all, one will have a rationally unacceptable set of propositional attitudes—or if one doesn’t, one will end up being cognitively imperfect in some other manner. The proposition I am concerned (...) with is a self-referential propositional attitude ascription involving the propositional attitude of rejection. Given a basic assumption about what constitutes irrationality, and a few assumptions about the nature of cognitively ideal agents, a paradox results. This paradox is superficially like the Liar, but it is importantly different in that no alethic notions are involved at all. As such, it stands independent of the Liar and is not a ‘revenge’ version of it. After setting out the paradox I discuss possible responses. After considering several I argue that one is best off simply accepting that the paradox shows us something surprising and interesting about rationality: that some cognitive shortfall is unavoidable even for ideal agents. I argue that nothing disastrous follows from accepting this conclusion. (shrink)

Gideon Rosen and Robert Schwartzkopff have independently suggested (variants of) the following claim, which is a varian of Hume's Principle: -/- When the number of Fs is identical to the number of Gs, this fact is grounded by the fact that there is a one-to-one correspondence between the Fs and Gs. -/- My paper is a detailed critique of the proposal. I don't find any decisive refutation of the proposal. At the same time, it has some consequences which many will (...) find objectionable. (shrink)

Clayton Littlejohn claims that the permissibility solution to the lottery paradox requires an implausible principle in order to explain why epistemic permissions don't agglomerate. This paper argues that an uncontentious principle suffices to explain this. It also discusses another objection of Littlejohn's, according to which we’re not permitted to believe lottery propositions because we know that we’re not in a position to know them.

Like American politics, the academic debate over justice is polarized, with almost all theories of justice falling within one of two traditions: egalitarianism and libertarianism. This book provides an alternative to the partisan standoff by focusing not on equality or liberty, but on the idea that we should give people the things that they deserve. Mulligan argues that a just society is a meritocracy, in which equal opportunity prevails and social goods are distributed strictly on the basis of merit. That (...) gives citizens their just deserts. In addition to its novel conceptual approach, meritocracy is distinctive from existing work in two ways. First, it is grounded in research on how people actually think about justice. Empirical research reveals that people don't think that social goods should be distributed equally. Nor do they dismiss the idea of social justice. Across ideological and cultural lines, people want rewards to reflect merit. Second, the book discusses hot-button political issues and makes concrete policy recommendations. These issues include anti-meritocratic bias against women and racial minorities and the United States’ widening economic inequality. Justice and the Meritocratic State offers a new theory of justice and provides solutions to our most vexing social and economic problems. It will be of keen interest to philosophers, economists, and political theorists. (shrink)

In Plato’s Gorgias, Socrates says to Callicles that “your love of the people, existing in your soul, stands against me, but if we closely examine these same matters often and in a better way, you will be persuaded” (513c7–d1). I argue for an interpretation that explains how Socrates understands Callicles’s love of the people to stand against him and why he believes examination often and in a better way will persuade Callicles.

In this introductory paper, I discuss the second-personal approach to ethics and the theory of recognition as two accounts of the fundamental sociality of the human form of life. The first section delineates the deep affinities between the two approaches. They both put a reciprocal social constellation front and center from which they derive the fundamental norms of moral and social life and a social conception of freedom. The second section discusses three points of contrast between the two approaches: The (...) accounts differ in that the second-personal approach opts for a narrower conception of recognition focusing on mutual moral accountability, whereas recognition theory suggests a broader conception including relations of love, respect, and esteem. Secondly, the accounts differ as to how they conceive of the interrelation of the I-thou and the I-We relationship. Finally, they differ with regard to the way they think of struggles for recognition. Whereas the second-personal approach suggests that we can understand struggles on the basis of a transcendental infrastructure of second-personal address, the theory of recognition considers norms of recognition as themselves constituted by dialectical social struggles. The paper closes with a reflection on the ways in which both approaches can help us understand the social vulnerability of the human form of life. (shrink)

A window broke and Annie was involved. What’s of moral importance in a situation like this? Not whether Annie caused the window to break and not whether the window wouldn’t have broken if it weren’t for Annie. What’s morally important is whether Annie broke the window. In this thesis, I first generalise and argue for that claim; afterwards, I put it to work in ethics, applied ethics, and legal theory.

This study's focus was to determine students' English competency level after exposure to video lessons as supplemental materials. The respondents of the study were 139 Grade 9 students of Mahaplag National High School coming from four sections enrolled for School Year 2022-2023. Quasi-experimental method of research particularly the pretest-posttest design was utilized in the study. Frequency counts, mean percentage score, weighted mean, standard deviation, and paired samples T-test were utilized in data analysis. Results of the study revealed that the competency (...) level of the students on all three learning competencies before the exposure to video lessons is in the poor category. On the other hand, it was revealed in the study that after exposure to video lessons and through the administered post-test, students’ competency levels improved, which now belongs to the fair category. As to the student’s acceptance level of video lessons as supplemental materials, it was found that students positively accept video lessons as supplemental materials for selected English 9 competencies. It was also ascertained that there was a statistically significant increase in the scores of the students on all three competencies after exposure to video lessons. Furthermore, there was a significant increase in students' overall scores on the three competencies. From the results of the study, it can be concluded that video lessons can be a great supplemental material in teaching English 9 competencies. (shrink)

Prospective parents are sometimes partial towards their future children, engaging in what I call ‘pre-parental partiality’. Common sense morality is as permissive of pre-parental partiality as it is of ordinary parental partiality—partiality towards one’s existing children. But I argue that existing justifications for partiality typically establish weaker reasons in support of pre-parental partiality than in support of parental partiality. Thus, either these existing justifications do not fully account for our reasons of parental partiality, or our reasons to engage in pre-parental (...) partiality are indeed typically weaker than our reasons to engage in parental partiality. (shrink)

The term ‘continuous’ in real analysis wasn’t given an adequate formal definition until 1817. However, important theorems about continuity were proven long before that. How was this possible? In this paper, I introduce and refine a proposed answer to this question, derived from the work of Frank Jackson, David Lewis and other proponents of the ‘Canberra plan’. In brief, the proposal is that before 1817 the meaning of the term ‘continuous’ was determined by a number of ‘platitudes’ which had some (...) special epistemic status. (shrink)

How to conceptualize loving relationships so as to accommodate that just love is geared toward preserving and fostering individual autonomy? To develop an answer, this paper draws on the recent debate on the rational role of experience to motivate a view dubbed Murdochian presentationalism. Murdochian presentationalism takes seriously two presentationalist ideas: 1) individuals harboring different world views who respond to identical situations differently can be equally rational; 2) our views and concepts develop under the constant pressure of experience. It (...) combines these ideas with Murdoch’s tenet that coming to know others (and thus being able to do well by them) requires unselfish love, construed as just attention that involves a continuous refinement of our evaluative concepts and makes us better attuned to what is real. Complemented with a broadly Kantian notion of autonomy, the resulting view fits the bill. The paper ends on a sketch of what is dubbed the ideal lovers’ pledge and a comment on what metaphor the view arrived at suggests for thinking about loving relationships. (shrink)

How are love and justice related? Iris Murdoch characterizes the former by drawing on the latter. Love, she maintains, is just attention, which in turn triggers acts of compassion. Arguably, for Murdoch, love is the most important moral activity. By engaging in love, she maintains, moral agents progress on their journey from appearances to reality. Through love, they overcome selfish leanings, acquire a clearer vision of the world and, importantly, other individuals, which in turn enables (...) them to act increasingly well. In this paper, I lay Murdoch’s account of love alongside of Aristotle’s notion of philia. Ultimately, I argue that both Murdochian love and Aristotelian philia are crucial for enabling moral progress. I proceed as follows: First, I introduce Murdoch’s view. I then propose a novel reading of an argument from Aristotle’s Nicomachean Ethics in order to explain what I shall call his necessity claim (NC): philia is necessary to a flourishing life. Along the way, I point out ways in which Murdoch’s and Aristotle’s accounts are mutually illuminating. (shrink)

Der Begriff des sozialen Bandes wird in Alltags- und Wissenschaftssprache gerne verwendet, wenn es darum geht, eine Krise des Sozialen zu diagnostizieren: »Das soziale Band reißt«, heißt es dann. Was aber ist das soziale Band? Wie wird es von wem geknüpft? Und wie weit lässt es sich dehnen, bevor es tatsächlich reißt? Um die Fragen zu beantworten, verfolgt diese Edition drei Ziele: Das grundlagentheoretische Vorhaben besteht in einer Klärung, Ausdifferenzierung und Systematisierung unterschiedlicher historischer Konzeptionen des sozialen Bandes; das zeitdiagnostische Vorhaben (...) richtet sich auf eine Untersuchung gegenwärtiger Erosionen von sozialen Bindungen und das explorative Vorhaben auf die Sichtbarmachung von alternativen Formen der Sozialintegration. (shrink)

Das Wiskott-Aldrich-Syndrom (WAS), ein genetisch bedingter Immundefekt mit klinischer Manifestation im Kleinkindalter, wird voraussichtlich in näherer Zukunft erstmals versuchsweise durch eine somatische Gentherapie behandelt werden. Im vor- liegenden Beitrag werden die wichtigsten medizinisch-naturwissenschaftlichen Fakten dieses Krankheitsbildes sowie die bisherigen Erfahrungen mit somatischen Gentherapien bei anderen Immunmangelsyndromen ausführlich dargestellt. Sodann erfolgt eine ethische Analyse eines möglichen gentherapeutischen Eingriffs bei WAS-Patienten, bei der die spezifischen Aspekte des Wiskott-Aldrich-Syndroms – insbesondere die fast ausschließliche Betroffenheit von Kindern sowie die unterschiedlich aussichtsreiche Alter- nativoption einer (...) allogenen Knochenmarktransplantation–wesentliche Aspekte der Beurteilung sind. Im Ergebnis zeigt sich, dass ein gentherapeutischer Eingriff im vorliegenden Fall nicht im Rahmen einer Forschungsstudie, d.h. als Humanexperiment, gerechtfertigt werden kann, sondern allein als individueller Heilversuch. Gleichwohl las- sen die besonderen Risiken und die Innovativität eines solchen Eingriffs es notwendig erscheinen, diesen Heilversuch – anders als andere Heilbehandlungen mit bislang unerprobten Mitteln – in streng kontrollierter Form durchzuführen. Der neuartige Gedanke eines kontrollierten individuellen Heilversuchs zeichnet sich daher für den vorliegenden Fall, und womöglich auch für vergleichbare risikoreiche Behandlungsansätze namentlich im Bereich der Gentherapie, als geeignetes Instrument der Konzeption und Beurteilung ab. (shrink)

The theory of science that Thomas Kuhn built in the Structure of Scientific Revolutions was considered as a hypothetical framework in this study. Since the publication of the work, many questions have arisen that call for a psychology of science. These questions are moved to another dimension through the knowledge of the decision made within Galileo Affair, which occupies an important place in modern science, fundamentally arising from an epistemic struggle and emerging out of an unscientific base rather than (...) the charge of unholiness. Abandoning the perspective which evaluates these questions within a historical process as a weak side of the Kuhnian theory of science, this study challenges the current approaches with an alternative approach. The epistemic complexity in the Kuhnian theory of science is an imperative complexity caused by human factors. From this perspective, there are potential questions for psychology of science as a field of study based on Kuhnian epistemology and it can be assumed that new problems may appear when the other epistemological questions which assumed as “answered” are reviewed in the scope of this study. The main thesis of this study is that psychology of science is possible as a valid and operationalizable research program based on Kuhnian theory of science. (shrink)

This paper outlines an account of numbers based on the numerical equivalence schema, which consists of all sentences of the form ‘#x.Fx=n if and only if ∃nx Fx’, where # is the number-of operator and ∃n is defined in standard Russellian fashion. In the first part of the paper, I point out some analogies between the NES and the T-schema for truth. In light of these analogies, I formulate a minimalist account of numbers, based on the NES, which strongly parallels (...) the minimalist account of truth. One may be tempted to develop the minimalist account in a fictionalist direction, according to which arithmetic is useful but untrue, if taken at face value. In the second part, I argue that this suggestion is not as attractive as it may first appear. The NES suffers from a similar problem to the T-schema: it is deductively weak and does not enable the derivation of any non-trivial generalizations. In the third part of the paper, I explore some strategies to deal with the generalization problem, again drawing inspiration from the literature on truth. In closing this paper, I briefly compare the minimalist to some other accounts of numbers. (shrink)

From the school yard to the workplace, there’s no charge more damning than “you’re being unfair!” Born out of democracy and raised in open markets, fairness has become our de facto modern creed. The very symbol of American ethics—Lady Justice—wears a blindfold as she weighs the law on her impartial scale. In our zealous pursuit of fairness, we have banished our urges to like one person more than another, one thing over another, hiding them away as dirty secrets of our (...) humanity. In Against Fairness, polymath philosopher Stephen T. Asma drags them triumphantly back into the light. Through playful, witty, but always serious arguments and examples, he vindicates our unspoken and undeniable instinct to favor, making the case that we would all be better off if we showed our unfair tendencies a little more kindness—indeed, if we favored favoritism. Conscious of the egalitarian feathers his argument is sure to ruffle, Asma makes his point by synthesizing a startling array of scientific findings, historical philosophies, cultural practices, analytic arguments, and a variety of personal and literary narratives to give a remarkably nuanced and thorough understanding of how fairness and favoritism fit within our moral architecture. Examining everything from the survival-enhancing biochemistry that makes our mothers love us to the motivating properties of our “affective community,” he not only shows how we favor but the reasons we should. Drawing on thinkers from Confucius to Tocqueville to Nietzsche, he reveals how we have confused fairness with more noble traits, like compassion and open-mindedness. He dismantles a number of seemingly egalitarian pursuits, from classwide Valentine’s Day cards to civil rights, to reveal the envy that lies at their hearts, going on to prove that we can still be kind to strangers, have no prejudice, and fight for equal opportunity at the same time we reserve the best of what we can offer for those dearest to us. Fed up with the blue-ribbons-for-all absurdity of "fairness" today, and wary of the psychological paralysis it creates, Asma resets our moral compass with favoritism as its lodestar, providing a strikingly new and remarkably positive way to think through all our actions, big and small. (shrink)

Behavioural economics has taught us that human agents don't always display consistent, context-independent and stable preferences in their choice behaviour. Can we nevertheless do welfare economics...

This paper argues that instrumental rationality is more permissive than expected utility theory. The most compelling instrumentalist argument in favour of separability, its core requirement, is that agents with non-separable preferences end up badly off by their own lights in some dynamic choice problems. I argue that once we focus on the question of whether agents’ attitudes to uncertain prospects help define their ends in their own right, or instead only assign instrumental value in virtue of the outcomes they may (...) lead to, we see that the argument must fail. Either attitudes to prospects assign non-instrumental value in their own right, in which case we cannot establish the irrationality of the dynamic choice behaviour of agents with non-separable preferences. Or they don’t, in which case agents with non-separable preferences can avoid the problematic choice behaviour without adopting separable preferences. (shrink)

Are demands for equality motivated by envy? Nietzsche, Freud, Hayek, and Nozick all thought so. Call this the Envy Objection. For egalitarians, the Envy Objection is meant to sting. Many egalitarians have tried to evade the Envy Objection.. But should egalitarians be worried about envy? In this paper, I argue that egalitarians should stop worrying and learn to love envy. I argue that the persistent unwillingness to embrace the Envy Objection is rooted in a common misunderstanding of the nature (...) of the charge, what it reveals, and what can be said in response to it. I develop what Bernard Williams might call a vindicatory genealogy of envy, thereby allowing us to see that envy, rather than undermining egalitarian intuitions, can in fact play a distinct justificatory role (when it is fitting), which undermines the Envy Objection. (shrink)

Book Review: What Genes Can’t Do By Lenny Moss .

Michael Sandel’s latest book is not a scholarly work but is clearly intended as a work of public philosophy—a contribution to public rather than academic discourse. The book makes two moves. The first, which takes up most of it, is to demonstrate by means of a great many examples, mostly culled from newspaper stories, that markets and money corrupt—degrade—the goods they are used to allocate. The second follows from the first as Sandel’s proposed solution: we as a society should deliberate (...) together about the proper meaning and purpose of various goods, relationships, and activities (such as baseball and education) and how they should be valued. -/- Public philosophy is a different genre from academic philosophy, but that does not mean that it cannot be held to high standards. In my view, while this book does provide food for thought and food for conversation, it nevertheless has significant failings as a work of public philosophy rather than journalistic social activism on the model of Naomi Klein’s No logo (1999). (shrink)

What is paradoxical about the Socratic paradoxes is that they are not paradoxical at all. Socrates famously argued that knowledge is sufficient for virtue and that no one errs willingly. Both doctrines are discussed in the Protagoras between Socrates and the Abderian sophist, however the argumentative line that Socrates chooses to follow in order to refute ‘the many’ has raised a serious degree of controversy among scholars. Is Socrates upholding the hedonistic view? Or, is he only trying to show the (...) bankruptcy of the explanation of akrasia as ‘being overcome by pleasure’ which ‘the many’ advocate? Socrates intends to do the latter, showing that this hedonistic explanation of akrasia leads to absurdity. Plato’s and Socrates’ identification of goodness with pleasure would mark a sudden and unexplained departure from their moral theories, and would render the Socratic denial of akrasia an argument with limited range –only for those assuming hedonism. If we are correct to hold that Socrates does not intend to identify the good with the pleasant, then we are immediately put against a new and much more difficult challenge; that is, to suggest how the Socratic denial of akrasia could regain its catholic plausibility against the commonsensical stance to akrasia, namely that people act against their best judgment due to their impotence to resist to motivational forces such as pleasure, pain, fear, passion and love. Socrates does not offer any other explicit account –apart from the hedonistic one- of how his doctrine could be catholically defended; hence the task of decoding the Socratic line of thought is far from an easy one. The key move in order to decode the puzzling Socratic doctrine is to understand how Socrates treats the notion of ‘knowledge’. For Socrates, moral knowledge is distinguished from mere belief; in this sense, only knowledge has the commanding power which enables one to sustain his best evaluative judgment against other motivational forces and only knowledge is sufficient for the virtuous conduct. By contrast, as mere belief is susceptible to other motivational forces like pleasure, pain, fear, etc. its possessor will, in turn, be susceptible to the revision of his intentions which derive from his best value judgment. In the Protagoras, Socrates implies that intentions grounded on belief can be ‘dragged around’ by desire; and according to my view in this paper, this Socratic stance allows a non-epistemic interpretation of his thesis. According to the traditional epistemic interpretation of the Socratic denial of akrasia, one’s wrongdoing is always a miscalculation that takes place on his practical syllogism. However, my understanding of the Socratic denial of akrasia allows cases of one even going against his best judgment, when his judgment is based on belief. In that sense, a judgment grounded on belief has insufficient power to guarantee that the chosen action will follow, whereas only judgments grounded on knowledge have a commanding and lordly power. For Socrates, everyone always goes for the good but only those with knowledge can infallibly discover and act on the good. Those with mere belief can only reach an apparent good, which may be good or bad. The motivation for the good is not unshakeable for those with mere belief since the grounding of their belief is scarcely strong enough to hold on the correct intention. Socrates therefore holds that the grounding of knowledge influences the motivational state of the moral agent. Thereupon, my interpretation differs from others in suggesting that for Socrates not all the cases of akrasia are cognitive mistakes in their judgment. Rather I hold, in opposition to the received stance on akrasia, that Socrates allows that one could act against his best judgment, when the latter is grounded on mere belief. (shrink)

This essay discusss (1) the differences and commonalities between romantic love and friendship and (2) the differences and commonalities between parental love of friendship.

Lethal Autonomous Weapon Systems are here. Technological development will see them become widespread in the near future. This is in a matter of years rather than decades. When the UN Convention on Certain Conventional Weapons meets on 10-14th November 2014, well-considered guidance for a decision on the general policy direction for LAWS is clearly needed. While there is widespread opposition to LAWS—or ‘killer robots’, as they are popularly called—and a growing campaign advocates banning them outright, we argue the opposite. LAWS (...) may very well reduce suffering and death in war. Rather than banning them, they should be regulated, to ensure both compliance with international humanitarian law, and that this positive outcome occurs. This policy memo sets out the basic structure and content of the regulation required. (shrink)

Discussions concerning whether there is a natural right to health care may occur in various forms, resulting in policy recommendations for how to implement any such right in a given society. But health care policies may be judged by international standards including the UN Universal Declaration of Human Rights. The rights enumerated in the UDHR are grounded in traditions of moral theory, a philosophical analysis of which is necessary in order to adjudicate the value of specific policies designed to enshrine (...) rights such as a right to health care. We begin with an overview of the drafting of the UDHR and highlight the primary influence of natural law theory in validating the rights contained therein. We then provide an explication of natural law theory by reference to the writings of Thomas Aquinas, as well as elucidate the complementary “capabilities approach” of Martha Nussbaum. We conclude that a right to health care ought to be guaranteed by the state. (shrink)

This paper addresses several questions related to the nature, production, and use of animal-human (a-h) chimeras. At the heart of the issue is whether certain types of a-h chimeras should be brought into existence, and, if they are, how we should treat such creatures. In our current research environment, we recognize a dichotomy between research involving nonhuman animal subjects and research involving human subjects, and the classification of a research protocol into one of these categories will trigger different ethical standards (...) as to the moral permissibility of the research in question. Are a-h chimeras entitled to the more restrictive and protective ethical standards applied to human research subjects? We elucidate an Aristotelian-Thomistic metaphysical framework in which to argue how such chimeras ought to be defined ontologically. We then examine when the creation of, and experimentation upon, certain types of a-h chimeras may be morally permissible. (shrink)

Nagarjuna and Quantum physics. Eastern and Western Modes of Thought. Summary. The key terms. 1. Key term: ‘Emptiness’. The Indian philosopher Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing (...) can be found, that there is nothing, that nothing exists? Was Nagarjuna denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. Reality is without foundation. Or: Reality has the wide open space as foundation. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realised that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalisation. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalisation might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. -/-. (shrink)

In this paper, I argue that Goff's view that universal consciousness grounds logical laws such as the law of non-contradiction cannot be true on the grounds that we cannot guarantee the classical logic loving nature of universal consciousness that Goff desires in order to ground logical laws. I will present three arguments to show this.

In a series of papers, Thomas P. Flint has posited that God the Son could become incarnate in any human person as long as certain conditions are met (Flint 2001a, 2001b). In a recent paper, he has argued that all saved human persons will one day become incarnated by the Son (Flint 2011). Flint claims that this is motivated by a combination of Molinism and orthodox Christology. I shall argue that this is unmotivated because it is condemned by orthodox (...) Christology. Flint has unknowingly articulated a version of the heresy called Origenism that is condemned by the Fifth Ecumenical Council. After arguing that Flint’s account is unmotivated because it is condemned, I shall offer some reflections and prolegomena on the relationship between contemporary analytic theology and the ecumenical creeds. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was Nagarjuna denying (...) the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna himself has done. Now Nagarjuna’s central view can be named ‘dependence of things’. Nagarjuna is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna, we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. -/- 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.] -/- « Wenn du gerade das, wodurch auch immer du gefesselt bist, erkennst, wirst du zur Freiheit gelangen. Wenn du diesen speziellen Pfad verwirklichst, gelangst du in einem Leben zur Buddhaschaft. Deswegen verhält es sich folgendermaßen : Wenn plötzlich die Geistesregung « Begierde » enststeht, dann betrachte, ohne ihr zu folgen, direkt ihre Essenz und verweile in dieser Betrachtung, ohne Ablenkungen zuzulassen. Auf diese Weise reinigt Begierde sich selbst, ohne aufgegeben zu werden, da sie ohne Grundlage und Ursprung entsteht. Das wird « Befreiung in sich selbst », « unterscheidende ursprüngliche Weisheit » oder Buddha Amitabha » genannt ». Jigden Sumgön, Licht, das die Dunkelheit durchbricht, Otter Verlag, München 2006, Seite 47, 48 . (shrink)

Commentary on: Olaf Blanke, Thomas Metzinger, Full-body illusions and minimal phenomenal selfhood, Trends in Cognitive Sciences, Volume 13, Issue 1, January 2009, Pages 7-13, ISSN 1364-6613, DOI: 10.1016/j.tics.2008.10.003.

Singularity has been a concern of the developers of cybernetics and artificial intelligence (AI) since the pioneering writings of such thinkers as Norbert Weiner. Yet many accept the inevitability of systems of AI surpassing human control and are optimistic that machine intelligence will harmonize human life with our environment. This essay examines this optimism against a reading of two poets: Richard Brautigan and Friedrich Hölderlin. Through these readings, it will attempt to show that the eclipse of nature by human beings (...) can be used to examine the eclipse of the human being by machine intelligence. Thus, what is missing in machine intelligence is a dimension related to the experience of pain and joy that reconnect us to reflect on what has been severed or lost in the movement of humanity through history. This demonstrates that the very categories of optimism and pessimism concerning the future of AI points to the value of life, one that can never be encoded into our machines. (shrink)

Transoral laser microsurgery applies to the piecemeal removal of malignant tumours of the upper aerodigestive tract using the CO2 laser under the operating microscope. This method of surgery is being increasingly popularised as a single modality treatment of choice in early laryngeal cancers (T1 and T2) and occasionally in the more advanced forms of the disease (T3 and T4), predomi- nantly within the supraglottis. Thomas Kuhn, the American physicist turned philosopher and historian of science, coined the phrase ‘paradigm shift’ (...) in his groundbreaking book The Structure of Scientific Revolutions. He argued that the arrival of the new and often incompatible idea forms the core of a new paradigm, the birth of an entirely new way of thinking. This article discusses whether Steiner and col- leagues truly brought about a paradigm shift in oncological surgery. By rejecting the principle of en block resection and by replacing it with the belief that not only is it oncologically safe to cut through the substance of the tumour but in doing so one can actually achieve better results, Steiner was able to truly revolutionise the man- agement of laryngeal cancer. Even though within this article the repercussions of his insight are limited to the upper aerodigestive tract oncological surgery, his willingness to question other peoples’ dogma makes his contribution truly a genuine paradigm shift. (shrink)

Those who oppose human embryonic stem cell research argue for a clear position on the metaphysical and moral status of human embryos. This position does not differ whether the embryo is present inside its mother’s reproductive tract or in a cryopreservation tank. It is worth examining, however, whether an embryo in “suspended animation” has the same status as one actively developing in utero. I will explore this question from the perspective of Thomas Aquinas’s metaphysical account of human nature. I (...) conclude that a cryopreserved human embryo counts, both metaphysically and morally, as a person; and thus the utilization of such embryos for inherently destructive research purposes is impermissible. (shrink)

Though Jana Mohr Lone refers to children’s striving to wonder, to question, to figure out how the world works and where they fit as the “philosophical self,” like its parent discipline, it could be argued that the philosophical self is actually the “parent self,”—the wellspring of all the other aspects of personhood that we traditionally parse out, e.g., the intellectual, moral, social, and emotional selves. If that is the case, then to be blind to “The Philosophical Child,” the latter being (...) the title of Jana Mohr Lone’s book, is, in a sense then, to be blind to the child. Thus, though Mohr Lone says that the subject of her book is to assist parents in supporting the development of children’s philosophical selves, that claim may mask the gift that this lovely book can bring to the parent-child relationship if it is interpreted as helping children to become “smarty pants” in the sense of acquiring esoteric skills to excel in the ivory-tower discipline of academic philosophy. This is not the focus of this book. This is not an invitation to learn about the history of philosophy— about what some wise, usually white, usually men said about the fundamental questions that intrigue all humans. This is not an invitation to memorize and thus to sit in awe of what others think —as is too often the case in university classrooms. This book, rather, is a guide to how to actually philosophize—how to use questions to energetically and courageously make progress toward finding answers that one, through reflection, comes to believe are the best, given the reasons and evidence available. And to the degree that we and our children are successful, we give ourselves and our children the gift of continuously learning to become ever wiser. (shrink)

1.Summary The key terms. 1. Key term: ‘Sunyata’. Nagarjuna (Kumarajiva) is known in the history of Buddhism mainly by his keyword ‘sunyata’. This word is translated into English by the word ‘emptiness’. The translation and the traditional interpretations create the impression that Nagarjuna (Kumarajiva) declares the objects as empty or illusionary or not real or not existing. What is the assertion and concrete statement made by this interpretation? That nothing can be found, that there is nothing, that nothing exists? Was (...) Nagarjuna (Kumarajiva) denying the external world? Did he wish to refute that which evidently is? Did he want to call into question the world in which we live? Did he wish to deny the presence of things that somehow arise? My first point is the refutation of this traditional translation and interpretation. 2. Key terms: ‘Dependence’ or ‘relational view’. My second point consists in a transcription of the keyword of ‘sunyata’ by the word ‘dependence’. This is something that Nagarjuna (Kumarajiva) himself has done. Now Nagarjuna’s (Kumarajiva’s) central view can be named ‘dependence of things’. Nagarjuna (Kumarajiva) is not looking for a material or immaterial object which can be declared as a fundamental reality of this world. His fundamental reality is not an object. It is a relation between objects. This is a relational view of reality. This is the heart of Nagarjuna’s (Kumarajiva’s) ideas. In the 19th century a more or less unknown Italian philosopher, Vincenzo Goberti, spoke about relations as the mean and as bonds between things. Later, in quantum physics and in the philosophy of Alfred North Whitehead we are talking about interactions and entanglements. These ideas of relatedness or connections or entanglements in Eastern and Western modes of thought are the main idea of this essay. Not all entanglements are known. Just two examples: the nature of quantum entanglements is not known. Quantum entanglements should be faster than light. That's why Albert Einstein had some doubts. A second example: the completely unknown connections between the mind and the brain. Other examples are mysterious like the connections between birds in a flock. Some are a little known like gravitational forces. 3. Key terms: ‘Arm in arm’. But Nagarjuna (Kumarajiva) did not stop there. He was not content to repeat this discovery of relational reality. He went on one step further indicating that what is happening between two things. He gave indications to the space between two things. He realized that not the behaviour of bodies, but the behaviour of something between them may be essential for understanding the reality. This open space is not at all empty. It is full of energy. The open space is the middle between things. Things are going arm in arm. The middle might be considered as a force that bounds men to the world and it might be seen as well as a force of liberation. It might be seen as a bondage to the infinite space. 4. Key term: Philosophy. Nagarjuna (Kumarajiva), we are told, was a Buddhist philosopher. This statement is not wrong when we take the notion ‘philosophy’ in a deep sense as a love to wisdom, not as wisdom itself. Philosophy is a way to wisdom. Where this way has an end wisdom begins and philosophy is no more necessary. A.N. Whitehead gives philosophy the commission of descriptive generalization. We do not need necessarily a philosophical building of universal dimensions. Some steps of descriptive generalization might be enough in order to see and understand reality. There is another criterion of Nagarjuna’s (Kumarajiva’s) philosophy. Not his keywords ‘sunyata’ and ‘pratityasamutpada’ but his 25 philosophical examples are the heart of his philosophy. His examples are images. They do not speak to rational and conceptual understanding. They speak to our eyes. Images, metaphors, allegories or symbolic examples have a freshness which rational ideas do not possess. Buddhist dharma and philosophy is a philosophy of allegories. This kind of philosophy is not completely new and unknown to European philosophy. Since Plato’s allegory of the cave it is already a little known. (Plato 424 – 348 Befor Current Era) The German philosopher Hans Blumenberg has underlined the importance of metaphors in European philosophy. 5. Key terms: Quantum Physics. Why quantum physics? European modes of thought had no idea of the space between two this. They were bound to the ideas of substance or subject, two main metaphysical traditions of European philosophical history, two main principles. These substances and these subjects are two immaterial bodies which were considered by traditional European metaphysics as lying, as a sort of core, inside the objects or underlying the empirical reality of our world. The first European scientist who saw with his inner eye the forces between two things had been Michael Faraday (1791-1867). Faraday was an English scientist who contributed to the fields of electromagnetism. Later physicists like Albert Einstein, Niels Bohr, Erwin Schrödinger, Werner Heisenberg and others followed his view in modern physics. This is a fifth point of my work. I compare Nagarjuna (Kumarajiva) with European scientific modes of thought for a better understanding of Asia. I do not compare Nagarjuna (kumarajiva) with European philosophers like Hegel, Heidegger, Wittgenstein. The principles and metaphysical foundations of physical sciences are more representative for European modes of thought than the ideas of Hegel, Heidegger and Wittgenstein and they are more precise. And slowly we are beginning to understand these principles. Let me take as an example the interpretation of quantum entanglement by the British mathematician Roger Penrose. Penrose discusses in the year of 2000 the experiences of quantum entanglement where light is separated over a distance of 100 kilometers and still remains connected in an unknown way. These are well known experiments in the last 30 years. Very strange for European modes of thought. The light should be either separated or connected. That is the expectation most European modes of thought tell us. Aristotle had been the first. Aristotle (384 - 322 Before Current Era) was a Greek philosopher, a student of Plato and a teacher of Alexander the Great. He told us the following principle as a metaphysical foundation: Either a situation exists or not. There is not a third possibility. Now listen to Roger Penrose: “Quantum entanglement is a very strange type of thing. It is somewhere between objects being separate and being in communication with each other” (Roger Penrose, The Large, the Small and the Human Mind, Cambridge University Press. 2000 page 66). This sentence of Roger Penrose is a first step of a philosophical generalization in a Whiteheadian sense. 6. Key terms: ‘The metaphysical foundations of modern science’ had been examined particularly by three European and American philosophers: E. A. Burtt, A.N. Whitehead and Hans-Georg Gadamer, by Gadamer eminently in his late writings on Heraclitus and Parmenides. I try to follow the approaches of these philosophers of relational views and of anti-substantialism. By ‘metaphysical foundations’ Edwin Arthur Burtt does not understand transcendental ideas but simply the principles that are underlying sciences. 7. Key terms: ‘Complementarity’, ‘interactions’, ‘entanglements’. Since 1927 quantum physics has three key terms which give an indication to the fundamental physical reality: Complementarity, interactions and entanglement. These three notions are akin to Nagarjuna’s (Kumarajiva’s) relational view of reality. They are akin and they are very precise, so that Buddhism might learn something from these descriptions and quantum physicists might learn from Nagarjuna’s (Kumarajiva’s) examples and views of reality. They might learn to do a first step in a philosophical generalisation of quantum physical experiments. All of us we might learn how objects are entangled or going arm in arm. [The end of the summary.]. (shrink)

How does Locke contribute to the development of 18th-century projects for a science of the mind, even though he seems to reject or at least bracket off such an idea himself? Contrary to later understandings of empiricism, Locke goes out of his way to state that his project to investigate and articulate the ‘logic of ideas’ is not a scientific project: “I shall not at present meddle with the Physical consideration of the Mind” (Essay, I.i.2). Locke further specifies that this (...) means his analysis of mental processes will not engage with knowledge of the brain (e.g. in terms of corpuscles and animal spirits), even though he had been the student of Thomas Willis. Now, Kant seemed to make an elementary mistake, given such a clear statement on Locke’s part, when he claimed that Locke’s project was a “physiology of the understanding” (in the Preface to the A edition of the first Critique). One can ask of course what this physiology of the understanding was, and if it existed, in or out of the Lockean intellectual world (as I have sought to investigate in a 2016 paper). This leads me to inquire into the outcome of his empiricism for a scientific treatment of the mind, including in the sense of a ‘naturalization’ of the mind (with implications also for our understanding of empiricism: Anstey’s influential distinction between experimental and speculative philosophy does not seem useful here). Because if Kant made this charge, there were also many 18th-century thinkers who positively treated Locke as their great forerunner in psychology and related fields: Charles Bonnet and Joseph Priestley among them, just as some prominent physicians such as Cabanis claimed to be ‘finishing the job’ that Locke had started in, e.g. their materialist theories of the passions. What one might term ‘the Locke Problem’ here is: how can one reconcile empiricism and claims about cerebral processes, while seeking to remain a Lockean? Differently put, what is the process of naturalization, a naturalization of? (shrink)

Abstract -/- Before Descartes, middle age philosophers like Thomas Aquinas (1225-1274), Duns Scotus (1266-1308), and Francisco Suarez (1548-1617) used to discuss the distinction between essence and existence in three ways (of course, Ibn-Sina was the first who made this distinction to rehabilitate Aristotelian philosophy in the Islamic heritage). Descartes was aware of that, but discussed it according to the relation between mind and body. Yet, he told us many times that he was used to separate essence from existence in (...) metaphysical issues. The objective of this paper is first to rephrase his untold opinion about the relation between essence and existence on the basis of his conception of the problem of distinction according to mind and body, and second, to disclose that Descartes's conception of existence is twofold. At the end, it is claimed that his twofold notion of existence and his inability to overcome it, is the principal factor in his failure to explicate everything according to first principles, and so in his failure to defeat skepticism. (shrink)

The analysis of the reversibility of quantum mechanics depends upon the choice of the time reversal operator for quantum mechanical states. The orthodox choice for the time reversal operator on QM states is known as the Wigner operator, T*, where * performs complex conjugation. The peculiarity is that this is not simply the unitary time reversal operation, but an anti-unitary operator, involving complex conjugation in addition to ordinary time reversal. The alternative choice is the Racah operator, which is simply ordinary (...) time reversal, T. Orthodox treatments hold that it is either logically or empirically necessary to adopt the Wigner operator, and the Racah operator has received little attention. The basis for this choice is analysed in detail, and it is concluded that all the conventional arguments for rejecting the Racah operator and adopting the Wigner operator are mistaken. The additional problem of whether the deterministic part of quantum mechanics should be judged to be reversible or not is also considered. The adoption of the Racah operator for time reversal appears prima facie to entail that quantum mechanics is irreversible. However, it is concluded that the real answer to question depends upon the choice of interpretation of the theory. In any case, the conventional reasons for claiming that quantum mechanics is reversible are incorrect. (shrink)

We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...) Lebesgue measurable, suggesting that Connes views a theory as being “virtual” if it is not definable in a suitable model of ZFC. If so, Connes’ claim that a theory of the hyperreals is “virtual” is refuted by the existence of a definable model of the hyperreal field due to Kanovei and Shelah. Free ultrafilters aren’t definable, yet Connes exploited such ultrafilters both in his own earlier work on the classification of factors in the 1970s and 80s, and in Noncommutative Geometry, raising the question whether the latter may not be vulnerable to Connes’ criticism of virtuality. We analyze the philosophical underpinnings of Connes’ argument based on Gödel’s incompleteness theorem, and detect an apparent circularity in Connes’ logic. We document the reliance on non-constructive foundational material, and specifically on the Dixmier trace −∫ (featured on the front cover of Connes’ magnum opus) and the Hahn–Banach theorem, in Connes’ own framework. We also note an inaccuracy in Machover’s critique of infinitesimal-based pedagogy. (shrink)