Multiple generality has long been known to cause confusion. For example, “Everyone has a donkey that is running” has two readings: either (i) there is a donkey, owned by everyone, and it is running; or (ii) everyone owns some donkey or other, and all such donkeys run. Medieval logicians were acutely aware of such ambiguities, and the logical problems they pose, and sought to sort them out. One of the most ambitious undertakings in this regard is a pair of massive (...) diagrams (magnae figurae) which map out the logical interrelations of two sets of doubly-general forms. These appear in a fourteenth-century MS of John Buridan’s Summulae de Propositionibus. In this paper, I present these diagrams, and determine the truth conditions of their different forms. To that end, I have developed a bespoke system of diagrams to display their truth conditions. As we will see, such forms present significant difficulties for an all-encompassing account of the role form plays in logic. Accordingly, they can tell us important things about the role logical form plays in Buridan’s account of logical foundations. (shrink)

If an argument is valid, it is impossible for its premises to be true, and its conclusion false. But how should we understand these notions of truth and impossibility? Here, I present the answers given by John Buridan (ca. 1300-60), showing (i) how he understands truth in his anti-realist metaphysics, and (ii) how he understands modality in connection with causal powers. In short: if an argument exists and is valid, there does not exist a power capable of making the premises (...) true and, at the same time, making the conclusion false. (shrink)

It may come as a surprise to readers familiar with the life and work of the Arts Master that he discusses the Eucharist at all. As he likes to remind us, theological topics are generally out of his wheelhouse. Even so, in his Questions on the “Metaphysics” of Aristotle (QM) 4.6, Buridan takes the sacrament of the Eucharist as a key data point in his discussion of Aristotle’s Categories. In the Eucharist, the accidents of the bread and wine—their color, texture, (...) and so on—remain intact, but the underlying substance is transubstantiated into the body and blood of Christ. Accordingly, God can preserve accidents independent of their underlying substance. Therefore, for our part we can use accidental terms, like whiteness, without connoting any substances, like communion bread. Moreover, it follows that, contrary to Aristotle, substance and the accidental categories are not the most general genera. Instead, being (ens) is, as Buridan concludes. Here, I trace Buridan’s thought on the metaphysical and semantic matters of substance in light of the Eucharist. The Eucharist is for him not only a theological truth, but a metaphysical and semantic datum as well. I conclude by asking why Buridan did not take any and all questions about the Eucharist to be out of his ken. What does this tell us about his attitude toward theology? This paper also includes, as an appendix, the first ever English translation of the question under discussion (QM 4.6): “Does the term being (ens) signify substances and accidents by one single concept or notion?”. (shrink)

In the major French and German etymological dictionaries of Latin, there is some puzzlement over the semantics of exāmen: how can one word refer to a measurement or examination, but also to a swarm of bees? Walde and Hofmann suggest these two dis-parate meanings stem from the diverse meanings of the verb exigō (<*ex-agō, ‘to drive out’), from which exāmen derives. They claim these two senses of exāmen become two words in the Latin Sprachgefühl. Ernout and Meillet agree: there is (...) more than one exāmen in the Latins’ sentiment linguistique. I, too, agree. But this approach does not tell us why these terms derive from exigō, nor does it give any hint of an underlying concept which measurements and swarms of bees share, which makes a derivation from exigō appropriate to both. The present paper addresses this puzzle by reducing the two meanings of exāmen to one meaning of the parent term *ex-agō: ‘to drive out.’ In sum: a swarm of bees is a ‘driving out’ or outpouring, and a measurement or examination is a ‘driving out’ or setting out for scrutiny. This interpretation is moreover supported by semantically parallel uses of cognate terms in other Indo-European languages, notably Greek and Old Irish, and by semantic parallels in English and in the Slavic language family. Along the way, I touch upon a philosophical puzzle: at what point do evolving linguistic items with a common source become distinct from one another? (shrink)

Autistic students are more likely to drop out of university, while facing both challenges and opportunities within university environments. This study compared the experiences of autistic and non-autistic current United Kingdom students, in terms of thoughts about dropping out, burnout, mental health and coping, during the COVID-19 pandemic. Burnout was of particular interest as this is a relatively unexamined phenomenon for autistic students. Seventy autistic and 315 non-autistic students, completed a mixed methods questionnaire with standardized measures of burnout, mental health, (...) and coping styles. We also included qualitative questions about dropping out and COVID-19 experiences. We found autistic participants experienced higher rates of burnout and mental health symptoms and were more likely to have thought about dropping out. Reasons given for thinking about dropping out, for both groups, focused on poor mental well-being, doubts about university, and academic challenges. For autistic participants, further analyses did not identify specific predictors of thinking about dropping out, but for non-autistic participants, this was predicted by maladaptive coping styles and academic burnout. Academic and personal burnout predicted one another for autistic students, and age, maladaptive coping, autistic characteristics, stress, and anxiety additionally predicted burnout for non-autistic students. Similarities in experiences during the pandemic were noted, with both groups experiencing negative social implications, difficulties adjusting to emergency online learning, and poorer psychological well-being. Moving forward from COVID-19, universities must find ways to enhance both academic and social support, to enable equal opportunity within Higher Education for autistic students. (shrink)

Many things can be other than they are. Many other things cannot. But what are statements like these about? One answer to this question is that we are speaking of possible worlds: if something can be other than it is, then it actually is that way in some possible world. If something cannot be otherwise, it is not otherwise in any world. This answer is presently dominant in analytical philosophy of language and logic. What are these worlds? David Lewis famously (...) claimed that every world exists, just like ours does: there is no difference between the other worlds and ours. In contrast, the medieval thinker John Buridan understands modal logic in terms of objects and causal powers in this world: if something can be other than it is, then there is a causal power that can make it that way. If it cannot, then no causal power—not even God—can alter it, at least without destroying its nature. As we’ll see, the Lewisian plurality is not possible on Buridan’s account; accordingly, a basic tenet of classical theism is untenable on Lewis’s metaphysics. In short, either the Lewisian plurality is incoherent, or a core monotheistic tenet is impossible. (shrink)

Scholastic philosophers can be quite funny. What’s more, they have good reason to be: Aristotle himself lists ready wit (eutrapelia) among the virtues, as a mean between excessive humor and its defect. Here, I assess Scholastic discussions of humor in theory, before turning to examples of it in practice. The last and finest of these is a joke, hitherto unacknowledged, which Aquinas makes in his famous Five Ways. Along the way, we’ll see (i) that the history of philosophy is not (...) so hostile to humor as is commonly supposed; and (ii) that the competing theories of humor like the Incongruity Theory and the Release Theory are not altogether incompatible. We’ll also see at least one example of an apparent attempt by modern translators to excise humor from a medieval text. Our considerations will open a window into what oral discussion and debate at medieval universities was actually like, and how we should understand the relationship between the texts we have now and the exchanges that actually occurred then. (shrink)

Spoken sentences have parts. Therefore they take time to speak. For instance, when you say, “Socrates is running”, you begin by uttering the subject term ("Socrates"), before carrying on to the predicate. But are the corresponding predications in thought also composite? And are such thoughts extended across time, like their spoken counterparts? Peter Abelard gave an affirmative response to both questions. Alberic of Paris denied the first and, as a corollary, denied the second. Here, I first set out Abelard’s account. (...) I then present a series of arguments against Abelard, reconstructed from (sometimes fragmentary) manuscripts associated with Alberic’s school. I conclude with an observation about present philosophy of language: this twelfth-century debate points to some undefended (and largely unstated) assumptions common to our latest thinking about propositions. I highlight this by presenting recent accounts of two philosophers with radically different outlooks: Jeffrey King and Peter Hanks. Both their accounts take many of the same things for granted, as the Alberican criticisms make plain. (shrink)

The recent debate about whether gauge symmetries can be empirically significant has focused on the possibility of 'Galileo's ship' types of scenarios, where the symmetries effect relational differences between a subsystem and the environment. However, it has gone largely unremarked that apart from such Galileo's ship scenarios, Greaves and Wallace (2014) proposed that gauge transformations can also be empirically significant in a 'non-relational' manner that is analogous to a Faraday-cage scenario, where the subsystem symmetry is related to a (...) change in a charged boundary state. In this paper, we investigate the question of whether such non-relational scenarios are possible for gauge theories. Remarkably, the answer to this question turns out to be closely related to a foundational puzzle that has driven a host of recent developments at the frontiers of theoretical physics. By drawing on these recent developments, we show that a very natural way of elaborating on Greaves and Wallace's claim of non-relational empirical significance for gauge symmetry is incoherent. However, we also argue that much of what they suggest is correct in spirit: one can indeed construct non-relational models of the kind they sketch, albeit ones where the empirical significance is not witnessed by a gauge symmetry but instead by a superficially similar boundary symmetry. Furthermore, the latter casts doubt on whether one really abandons Galileo's ship in such scenarios. (shrink)

What does success in online teaching look like? There are two ways to answer this question. The first defines success in terms of replacement of educational means: for example, how closely does an online lecture approximate its offline counterpart? The second defines success in terms of educational goals: for example, how well does an online lecture facilitate learning, compared with its offline counterpart? The first is a trap: it commits us to an endless online game of catch-up with offline models (...) of teaching. Instead, we should adopt a goal-oriented approach, mindful of obstacles to online teaching. As a case study, I present practices developed using this approach to teach philosophy online in 2020. An important upshot is that this approach leaves us open to ways in which online teaching is actually better than its offline counterpart. I conclude with some examples of these, and discuss their future implementation. (shrink)

It may come as a surprise to readers familiar with the life and work of the Arts Master that he discusses the Eucharist at all. As he likes to remind us, theological topics are generally out of his wheelhouse. Even so, in his Questions on the “Metaphysics” of Aristotle (QM) 4.6, Buridan takes the sacrament of the Eucharist as a key data point in his discussion of Aristotle’s categories. In the Eucharist, the accidents of the bread and wine—their color, texture, (...) and so on—remain intact, but the underlying substance is transubstantiated into the body and blood of Christ. Accordingly, God can preserve accidents independent of their underlying substance. Therefore, for our part we can use abstract accidental terms, like whiteness, without connoting any substances, like communion bread. Moreover, it follows that, contrary to Aristotle, substance and the accidental categories are not the most general genera. Instead, being (ens) is, as Buridan concludes. Here, I trace Buridan’s thought on the metaphysical and semantic matters of substance in light of the Eucharist. The Eucharist is for him not only a theological truth, but a metaphysical and semantic datum as well. I conclude by asking why Buridan did not take any and all questions about the Eucharist to be out of his ken. What does this tell us about his attitude toward theology?This paper also includes, as an appendix, the first ever English translation of the question under discussion (QM 4.6): “Does the term being [ens] signify substances and accidents by one single concept or notion?”. (shrink)

What makes a valid argument valid? Generally speaking, in a valid argument, if the premisses are true, then the conclusion must necessarily also be true. But on its own, this doesn’t tell us all that much. What is truth? And what is necessity? In what follows, I consider answers to these questions proposed by the fourteenth century logician John Buridan († ca. 1358). My central claim is that Buridan’s logic is downstream from his metaphysics. Accordingly, I treat his metaphysical discussions (...) as the key to his logic. As has been often noted, Buridan’s metaphysics are radically anti-realist about universals, though I think the depth and scope of his anti-realism has at times been papered over. Buridan constructs his logic on an amazingly spartan ontology, and this accomplishment is overdue for reconsideration. To the foregoing questions: truth is a feature of propositions, and of propositions only—not of proposition-like states of affairs, or anything like that. It is a function of the reference or supposition (suppositio) of their terms, which depends on predication in a propositional context. And necessary truth is grounded in causation: a predication is necessary if it cannot be falsified by any power, natural or supernatural, without ii annihilating what its terms stand for. “Socrates is a human”, for instance, can only be falsified by annihilating Socrates, and so it is a necessary truth. -/- These considerations provide an ample theoretical basis for a thorough examination of Buridan’s modal logic. This is what the thesis culminates with. In the final chapter, I set forth some novel and surprising findings, chief of which is this: Buridan’s modal syntax and semantics are nothing like Kripke’s—and indeed are incompatible with them. This has significant implications not only for modal logic and metaphysics, but for how we think about medieval logic and philosophy more generally. -/- Throughout the thesis, I advocate a methodology of emphasising the differences, rather than the similarities, between past and present thought. Buridan is wildly unlike what we’re used to, and we should let him speak for himself. (shrink)

BackgroundThe number of autistic students graduating is increasing; however, little is known regarding their transition out of university. Understanding this transition is particularly pertinent with regard to the employment of autistic graduates. It is vital that we understand autistic people’s experiences of the transition and identify what support would be beneficial during this time.MethodThirty-four autistic graduates from the United Kingdom took part in a mixed-methods study exploring their transition experience. Both quantitative and qualitative questions were used to obtain in-depth information (...) concerning participants’ experiences. Participants completed questions regarding their experiences and emotions in relation to the transition, the support they received for the transition, and their career and post-graduation plans.ResultsParticipants reported high levels of fear and low preparedness for the transition. They did not feel well supported in preparing for the transition or for their future career. In the 6 months pre-graduation, 59% of participants had accessed emotion-related transition support and 70% accessed career-related support. Post-graduation, one-third accessed emotion-related or career-related support. Perspectives on this accessed support were mixed, as were transition experiences. Additional support desired included preparation for life changes, career planning, employment accessibility, and autism-specific support. Advice for future students centered on forward planning.ConclusionThese results highlight the importance of supporting autistic students with the transition out of university. Service provision should be tailored to autistic students’ needs and support early planning for the transition. (shrink)

It is widely recognized that ‘global’ symmetries, such as the boost invariance of classical mechanics and special relativity, can give rise to direct empirical counterparts such as the Galileo-ship phenomenon. However, conventional wisdom holds that ‘local’ symmetries, such as the diffeomorphism invariance of general relativity and the gauge invariance of classical electromagnetism, have no such direct empirical counterparts. We argue against this conventional wisdom. We develop a framework for analysing the relationship between Galileo-ship empirical phenomena on the one hand, and (...) physical theories that model such phenomena on the other, that renders the relationship between theoretical and empirical symmetries transparent, and from which it follows that both global and local symmetries can give rise to Galileo-ship phenomena. In particular, we use this framework to exhibit an analogue of Galileo’s ship for the local gauge invariance of electromagnetism. 1 Introduction2 Analogues of Galileo’s Ship? Faraday’s Cage and t’Hooft’s Beam-Splitter2.1 Faraday’s cage2.2 t’Hooft’s beam-splitter3 A Framework for Symmetries I: Systems and Subsystems4 An Example: Coulombic Electrostatics5 A Framework for Symmetries II: The Relationship between Theoretical and Empirical Symmetries6 Newtonian Gravity7 Local Symmetries that Are Not Boundary-Preserving: Classical Electromagnetism and Faraday’s Cage8 Local Boundary-Preserving Symmetries: Klein-Gordon-Maxwell Gauge Theory and t’Hooft’s Beam-Splitter9 Summary10 Conclusions. (shrink)

PARTI The Philosophical Situation: A Critical Appraisal We must begin with the mistake and find out the truth in it. That is, we must uncover the source of ...

This article explores Michael Faraday’s “Historical Sketch of Electro‐Magnetism” as a fruitful source for understanding the epistemic significance of experimentation. In this work Faraday provides a catalog of the numerous experimental and theoretical developments in the early history of electromagnetism. He also describes methods that enable experimentalists to dissociate experimental results from the theoretical commitments generating their research. An analysis of the methods articulated in this sketch is instructive for confronting epistemological worries about the theory‐dependence of experimentation. †To (...) contact the author, please write to: 10289 Saint Katherine Lane, Saint Ann, MO 63074; e‐mail: [email protected]. (shrink)

Described by Jeffrey Masson as 'the single best introduction to animal rights ever written,' this new book by Tom Regan dispels the negative image of animal rights advocates perpetrated by the mass media, unmasks the fraudulent rhetoric of 'humane treatment' favored by animal exploiters, and explains why existing laws function to legitimize institutional cruelty.

In recent years a number of scholars have argued that Faraday's theories of matter and force were founded on concepts which were derived from Boscovich'sTheoria Philosophiae Naturalis(1758). The notion that Faraday's ideas display Boscovichean tendencies is not a new one: it was proposed by several of Faraday's immediate successors and has been noted by more recent commentators. Statements of this kind are not implausible as assertions of a general correspondence between Faraday's views on matter, as expressed (...) in the “Speculation touching Electric Conduction and the Nature of Matter” of 1844, and Boscovich's theory of point atomism, but Professor L. Pearce Williams has made much stronger claims for the dependence of Faraday's ideas on Boscovich's theory of matter. Williams' interpretation has been questioned by recent scholarship, and in this paper I wish to advance an alternative interpretation of Faraday's ideas on electricity and the nature of matter. (shrink)

Using the linearized Einstein gravitational field equations and the Maxwell field equations it is shown that the plane of polarization of an electromagnetic wave is rotated by the gravitational field created by the electromagnetic radiation of a ring laser. It is further shown that this gravitational Faraday effect shares many of the properties of the standard electromagnetic Faraday effect. An experimental arrangement is then suggested for the observation of this gravitational Faraday effect induced by the ring laser.

A major obstacle for materialist theories of the mind is the problem of sensory consciousness. How could a physical brain produce conscious sensory states that exhibit the rich and luxurious qualities of red velvet, a Mozart concerto or fresh-brewed coffee? Caging the Beast: A Theory of Sensory Consciousness offers to explain what these conscious sensory states have in common, by virtue of being conscious as opposed to unconscious states. After arguing against accounts of consciousness in terms of higher-order representation of (...) mental states, the theory claims that sensory consciousness is a special way we have of representing the world. The book also introduces a way of thinking about subjectivity as separate and more fundamental than consciousness, and considers how this foundational notion can be developed into more elaborate varieties. An appendix reviews the connection between consciousness and attention with an eye toward providing a neuropsychological instantiation of the proposed theory. (shrink)

"The Cage of Nature" focuses on the concept of nature as a way to rethink Japanese and European versions of modernity and the historical tropes that distance "East" from "West." This essay begins by comparing Japanese political philosopher Maruyama Masao and his contemporaries, Max Horkheimer and Theodor Adorno. Both sets of authors define modernity as the moment when humanity overcomes nature, but Maruyama longs for this triumph while Horkheimer and Adorno deplore its consequences. Maruyama insists that Japan has failed (...) to attain the freedom promised by modernity because it remains in the thrall of nature defined in three ways: as Japan's deformed past, as the mark of Japan's tragic difference from "the West," and as Japan's accursed sensuality, shackling it to uncritical bodily pleasures. In short, Maruyama sees Japan as trapped in the cage of nature.My argument is that Maruyama's frustration arises from the trap set by modern historiography, which simultaneously traces the trajectory of modernity from servile Nature to freedom of Spirit and at the same time bases the identity of the non-Western world on its closeness to nature. In other words, nature represents both the past and the East, an impossible dilemma for an Asian nationalist desirous of liberty. By revising our historical narratives to take into account the ways in which Western modernity continued to engage versions of nature, it becomes possible to reposition Japan and "the East" within modernity's history rather than treating them as the Other. (shrink)

: The natural philosopher Michael Faraday and the psychologist Jean Piaget experimented directly with natural phenomena and children. While Faraday originated evidence for spatial fields mediating force interactions, Piaget studied children's cognitive development. This paper treats their experimental processes in parallel, taking as examples Faraday's 1831 investigations of water patterns produced under vibration and Piaget's interactions with his infants as they sought something he hid. I redid parts of Faraday's vibrating fluid activities and Piaget's hiding games. (...) Like theirs, my experiences showed that incomplete observations and confusions accompanied—and facilitated —experimental developments. While working with things in their hands, these experimenters' minds were also engaged, inferring new, more coherent understandings of the behaviors under study. Transitory ripples disclosed distinct patterns; infants devised more productive search methods. From the ripples, Faraday discerned an oscillatory condition that informed his subsequent speculations about light. From the infant search, Piaget identified experimenting as a child's means of developing self and world, later envisioning its infusion into education. Taken together, these two stories demonstrate that cognitive capacities emerge in the actual process of experimenting. This finding eclipses the historical context in its implications for education today. When learners pursue their own experiments, their minds develop. (shrink)

BioShock Infinite follows the journey of Booker DeWitt, a reluctant detective from New York City who is transplanted via rowboat and lighthouse‐turned‐rocket to the city of Columbia. Booker is charged with the task of bringing back a girl in order to wipe away his debt. The girl, Elizabeth Comstock, has been locked in a tower since infancy by her father, Zachary Comstock, and is protected by a menacing Songbird. Although the game centers on Booker and his story, this chapter focuses (...) on Elizabeth, looking at her through a feminist lens. Freeing Elizabeth from her tower, one could argue, is in a way freeing her from oppression of men. If we take Elizabeth as her own person, rather than as a mere companion, does Elizabeth's freedom from tower mean real freedom for her? Does Booker treat Elizabeth any differently than Comstock does? And, what really is Elizabeth's role in Booker's drowning?. (shrink)

In this essay we will take the American experimental composer John Cage’s understanding of sound as the starting point for an evaluation of that term in the field of sound studies. Drawing together two of the most influential figures in the field, Cage’s thought and work will serve as a lens through which to engage with recent debate concerning the uptake in sound studies of the philosophy of Gilles Deleuze. In so doing we will attempt to develop a (...) path between conflicting sides of sound studies, putting forward an understanding of sound that presents it not as an uninterrogated ontological essence, nor as only a term in a discursive web, but as a problem which must be repeatedly posed anew. We will consider points where this may yet be pushed towards a reified, essentialized understanding of the nature of sound, but move to offset this by emphasizing the production of a practical process of learning and experimentation. (shrink)

John Cage and Henry David Thoreau draw attention to the indeterminacy of wild nature and imply humans cannot entirely control the natural world. This paper argues Cage and Thoreau each encourages his audience to recognize their own human limitations in relation to wildness, and thus each helps his audience to develop greater humility before nature. By reflecting on how Thoreau’s theory relates to Cage’s music, we can recognize how Cage’s music contributes to audiences’ environmental moral education. (...) We can appreciate the role of music in helping audiences to develop values conducive to environmentally sustainable practices. (shrink)

The Ultimate Fighting Championship broadcasts Mixed Martial Arts fights in over 149 countries to nearly a billion households worldwide. In 2013, the UFC signed the first ever female fighter Ronda ‘Rowdy’ Rousey. In this essay, I argue that women’s participation in the UFC challenges traditional stereotypes of female physical passivity and Iris Marion Young’s claims about feminine spatiality. However, at the same time, UFC culture emphasizes traditional sexist views of femininity and submissiveness. In order to analyze how gender is constructed (...) in the UFC, theories on women’s lived body experiences through participation in MMA are explored. Brian Pronger’s homosocial and homophobia framework is also applied to the phallocentric discourse that is part of the UFC. (shrink)

Since the 1990s there have been a number of government and market led initiatives to improve the welfare of layer hens in the United Kingdom, Australia and the USA. The focus of these regulatory and market initiatives has been a shift away from the dominant battery-cage system to enriched cages, barn/aviary and free-range production systems. Government regulations have played an important role in setting some minimum welfare standards and the banning of battery cages in the UK and in some (...) US states. However the commodification and market segmentation of higher welfare standards has also seen the growth in production and demand of cage-free and free-range eggs in all three countries. This paper maps and compares the developments in government regulation and market segmentation of layer-hen welfare in the UK, Australia and the USA. The role of labelling and certification in facilitating commodification and market segmentation will be examined, including the public controversies and legal conflicts over egg labelling. The key state, market and civil society actors in each country will also be identified, and their role in driving or resisting higher standards examined, including the increasingly influential role of animal welfare organizations and food corporations. (shrink)

Teachers in many countries complain that their pedagogic work is impeded by unreasonable bureaucratic demands by government agencies. This paper suggests that historical, institutional and cultural perspectives are needed to understand the processes at work. It draws on Weber’s classic study of bureaucracy, but also makes reference to claims that traditional bureaucracies have been modified in ways that ameliorate their authoritarian character. The central part of the paper examines the attempts of one country (Scotland) to address complaints about excessive bureaucracy: (...) it is argued that they show a limited understanding of the nature of institutional power. In the discussion that follows, a number of critical interpretations are considered: that bureaucracies are, by their very nature, anti-educational; that they undermine ethical consciousness and cause psychological damage; and that enhanced professionalism can serve as a counterweight to bureaucratic tendencies. The paper ends by suggesting that the powerful pragmatic argument that mass, state-run educational systems cannot function without complex administrative structures, should not be used to disguise the fact that they have unintended consequences, some of which tend to subvert their stated aims. (shrink)

The ambition in what follows is to begin a consideration of the lessons that might be learnt from a reassessment of twentieth-century avant-gardist practice within the domain of musical composition. The goal here will not be an evaluation of the compositional outputs of this period but, rather, some reflections on the place and role of teaching within and among the musicians themselves, remembering that many of them gained a considerable reputation as teachers: Arnold Schoenberg, Olivier Messiaen, Karlheinz Stockhausen, and John (...) Cage being the pre-eminent examples.And, as an aside, before too quickly assuming that the radical newness and futurism associated with much avant-gardism is somehow at odds with our... (shrink)