This book endeavours to pinpoint the relations between musical, and especially instrumental, practice and the evolving conceptions of pitch systems. It traces the development of ancient melodic notation from reconstructed origins, through various adaptations necessitated by changing musical styles and newly invented instruments, to its final canonical form. It thus emerges how closely ancient harmonic theory depended on the culturally dominant instruments, the lyre and the aulos. These threads are followed down to late antiquity, when details recorded by (...) Ptolemy permit an exceptionally clear view. Dr Hagel discusses the textual and pictorial evidence, introducing mathematical approaches wherever feasible, but also contributes to the interpretation of instruments in the archaeological record and occasionally is able to outline the general features of instruments not directly attested. The book will be indispensable to all those interested in Greek music, technology and performance culture and the general history of musicology. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:American Journal of Philology 122.3 (2001) 436-440 [Access article in PDF] M. L. West. Ancient Greek Music. 1992. Rpt., Oxford: Clarendon Press, 1994. 424 pp. Paper, $28.00. For many years, lamentably, classical scholarship lacked a good book in English on the subject of Greek music as a whole, in spite of the indisputable prominence mousike had in Greek culture. M. L. West's book has filled (...) that gap admirably. It is indeed, as its publisher claims, "clear, comprehensive, and authoritative.""Clear." It is as clear as humanly possible, given the incredible complexity of the topic. Alhough it "presupposes no special knowledge of music," I fear the average unmusical student of Greek culture will eventually be totally lost in the jungles of Greek terminology or swept away in a torrent of unfamiliar names. A similar fate awaits the nonclassical student of musicology. But West has done a superhuman job of explaining everything step by step, and readers who are dedicated and careful will be rewarded with a solid understanding of a very complicated subject."Comprehensive." There can be no doubt that the book is comprehensive. It would be almost impossible to find a topic that has been overlooked, or an [End Page 436] ancient author that has been slighted or misrepresented. There are chapters on music in Greek life, the voice, stringed instruments, wind and percussion, rhythm and tempo, scales and modes, melody and form, theory, notation and pitch, musical documents, and a historical synthesis (in two parts). The book ends with an epilogue on the place of Greek music "between Europe and Asia."Modern scholarship has been thoroughly canvassed. I did, however, note one serious omission. West does not refer to F. Kuttner and J. M. Barbour, The Theory of Classical Greek Music (Musurgia Records 1955), in the text or bibliography. This book has a recording that allows one to hear the various phenomena discussed, affording an enormous improvement over trying to guess what an interval of, say, 63 cents sounds like."Authoritative." This bold claim is largely justified, especially in areas of special expertise, such as rhythm and ancient poetry. Controversial issues are not evaded; and, after a judicious and thorough laying out of the evidence, West comes down with a magisterial conclusion. He is usually right.The topic that most classicists are likely to be interested in, especially if they are studying Plato or Aristotle, is the "modes" (harmoniai), which are supposed to have such moral power that it is appropriate for a legislator to promote some and ban others. Readers will have to wait for chapter 6 to learn what West thinks about this issue.With his characteristic thoroughness, West begins with the anatomy of the octave, then the anatomy of the fourth into genera, enharmonic, chromatic, and diatonic. He mentions an earlier "pentatonic trichord," which evolves into a four-note unit with the small interval divided into smaller units (conventionally called "quarter tones"). He then discusses the "fine tuning" represented by the shades (chroai) treated by the Pythagorean, Aristoxenian, and Ptolemaic theorists. The last group makes a distinction between the tunings of theory and those of the actual tunings used in practice by (contemporary?) musicians.He then discusses "ambitus" or the region of the normal tessitura, interpreting (convincingly) "slack" as referring to pieces of music largely confined to the lower register and "tense" as the opposite. A discussion of the scales described by the fifth-century theorist Damon follows, but they are not "modal" (in the Western sense of scales differentiated by varying patterns of large and small intervals).There follows a thorough canvas of the ancient literature to expound references to the various harmoniai and their alleged moral and psychological effects. One truth emerges: the harmoniai were not "fixed and unchanging.... Old ones were discarded, new ones grew" (184). Unfortunately, however, he reaches no decision as to what, exactly, these harmoniai were.Even after the consolidation of the scales into the "perfect immutable system" (a master scale, which has various scales, tonoi, with the ethnic epithets Dorian, Phrygian, and so on), we cannot recognize what is meant in modern theory... (shrink)

The ancient Greeks already used to give ethnic names to their different scales, and observations on differences in music of the various nations always raised the interest of musicians and philosophers. Yet, it was only in the late nineteenth century that “comparative musicology” became an institutional science. An important role in this process was played by Carl Stumpf, a former pupil of Brentano’s who pioneered these researches in Berlin. Stumpf founded the Phonogrammarchiv to collect recordings of folk and (...) extra-European music and a dedicated journal, the Sammelbände für vergleichende Musikwissenschaft. Gifted in the field of science no less than in that of musicology, Stumpf developed an empirically-oriented approach to phenomenology, deeply divergent from Husserl’s and highly influential over the Berlin school of Gestalt psychology. A self-declared “outsider” among armchair philosophers, Stumpf experimentally investigated the perception of sounds and the origins of musical consonance. Developing the physiological studies of Ernst Weber on the sense of touch, Stumpf discovered that two sensations of tone, given at the same time, tend to mix in a certain degree. Musical consonance – he claimed – lays in this level of “tonal fusion”, not in the allegedly “natural” series of the harmonic partials of a vibrating chord, as suggested by the naturalists of all times from Pythagoras to Stumpf’s great contemporary Hermann Helmholtz. Accordingly, no musical system can claim for preponderance over the others: Stumpf’s researches in comparative musicology served to corroborate his theses on “tonal fusion” and the psychological foundations of consonance. Although Stumpf later revised and finally abandoned this theory, its permanent value lays in its opposition to dominant naturalistic approaches. The commitment for comparative musicology at the Berlin School is then no concession to a positivistic fashion for exoticism. The fundamentally Eurocentric stance of naturalistic theories of music is also fiercely contrasted by Stumpf’s pupil Erich Hornbostel, who suggests that music ought to be considered as culture, rather than as nature, and focuses attention on the eventually melting human cultures. The Berlin school flourished until the Nazis forced most of its exponents to emigration and, for tragically obvious reasons, heavily discouraged researches on these topics. (shrink)

For over 40 years, Andrew Barker has been studying the ways in which ancient Greek philosophers, scientists and others analysed and discussed the structures underlying musical compositions; he has focused, in particular, on their methodologies, the conceptual frameworks within which their analyses were formed, and the various philosophical commitments they brought to their work. This volume contains a selection of the essays that Barker has published on these and related topics. The essays are preceded by an English version (...) of his book on 'psychomusicology', previously published only in Italian. It examines Greek writers' diverse and often influential speculations about correlations between musical structures and their counterparts in the soul, speculations which led them to striking conclusions about music's practical value in human affairs, and to recommendations for appropriate ways of employing it in such fields as, for example, moral education, psychotherapy, and the organization and governance of a healthy society. (shrink)

The discussions of conatus – force, tendency, effort, and striving – in early modern metaphysics have roots in Aristotle’s understanding of life as an internal experience of living force. This paper examines the ways that Spinoza’s conatus is consonant with Aristotle on effort. By tracking effort from his psychology and ethics to aesthetics, I show there is a conatus at the heart of the activity of the ψυχή that involves an intensification of power in a way which anticipates many of (...) the central insights of early modern and 20th century European philosophy. The first section outlines how Aristotle’s developmental conception of the soul as geometrically ordered lays the foundation for his understanding of effort. The developmental series of powers of the soul are analogous to the series of shapes in mathematics. The second section links the striving of the soul to the gradual acquisition of virtues as a directed activity unifying multiplicity. The third examines the paradigm of self-awareness that Aristotelian effort involves. In the final section I show how ancient Greek theories of music were founded on the experience of striving. The “nature” of music is defined by Aristoxenus, and Theophrastus, in relation to the passion and intentionality of the soul. The geometrical order, as a synthesis of elements in geometry, music, or ethics, is a generative process in which past elements are retained and reintegrated in later stages of development. It requires effort to think geometrically, and the progress of knowledge itself is an integral aspect of all effort. Effort is the lived and self-aware cause which, moving step by step in an orderly and deliberate way, grows and advances upon itself. For both Spinoza and Aristotle, effort is the immanent intelligence which accomplishes what is in the purview of its understanding. Thus, will, in this conception of effort, is not something we already possess innately, but emerges gradually by an effort aimed at improvement. (shrink)

This article offers a comparative study of the views of Alexis de Tocqueville and those of several Chinese thinkers of the late Ming dynasty (1368–1644)—primarily Gu Yanwu, Huang Zongxi, Wang Fuzhi—on the socio-political processes of centralization. My central claim is that their views of political centralization and of the decentralized polycentric society that preceded it in their respective countries exhibit a remarkable array of analogous structural features. More specifically, both Tocqueville and his Chinese counterparts perceive in centralization an inherent unsustainability (...) driven by its self-destructive nature: since the foundation and strength of statism depends on its social resources, the centralization of power inevitably results in the weakening of its own basis. I conclude that through their nuanced reinterpretation of self-interest, both parties advocate a “small-community-oriented communitarianism” instead of the increasingly centralized modern state. (shrink)

This paper aims to pay tribute to Figal’s comprehensive and innovative analysis of the artwork and beauty, while challenging both his realist position on the immediacy of meaning and his monist stance that reduces sublimity to beauty. To enquire into the origin of aesthetic feelings and sense, and thus, to break the hermeneutic circle, we first trace the origin of this reduction to the reception of Burke’s concept of the sublime by Mendelssohn and Kant. We then recur to Husserl and (...) Dufrenne to trace the origin of the sense of the feeling of sublimity in the realm of affectivity or sensuousness. This genesis takes place in passive experience, where we identify an excess of sensuous sense over categorial meaning that is constitutive of the affective sense that our bodily sensations give to hyletic material. It is argued that this sensuous excess evokes a sublime experience in the phenomenological sense, involving an affective and disruptive bodily experience and an endless process of sense formation. Affective or sensuous sense is thus an event that irreversibly affects the bodily surface. To elucidate this phenomenon, we draw on the theoretical framework of Breton and Bataille, positing it as a form-transgressive ‘convulsive’ sublime, which we then illustrate in the architectural works of Tschumi and Eisenman. In short, we have retrieved the origin of aesthetic experience and redefined the feeling of the sublime as a phenomenological ‘convulsive’ sublimity. (shrink)

In the realm of language a special case of mimetic illusion is the calembour, where the sound of a phrase signifies something else than what is written. At the end of the XVI century the artistic expression of this phenomenon gave birth to the paintings of Arcimboldo, who separated the contour of an object form the linear organization of the surface, in order to feature another object, through a kind of “polyphonic” dissociation between meaning and form. Strangely enough, nothing has (...) been written, in modern musicology, about the musical analogue of this phenomenon, but one can prove that it was not confined to paintings. The art of dissociating signs and meanings, was very well known by musicians not only through poetics, but also through musical mathematics, and above all by the study of the ancient Greek theory of metabolai, about the qualitative change of an harmonic form through the ambiguity created with others forms. (shrink)

Ṣāliḥ Nābī (d. 1914) is a person who lived in the last periods of the Ottomans and is a medical graduate and interested in Turkish music. In 1910, he received a work called al-Falsafa al-Mūsiḳī (Philosophy of Musica). In this study, the effects of music on the human soul, music history, and musical understanding in the Ottoman period were found. Throughout history, many musical compositions have been received and reflected some philosophical thoughts. But an independent study of philosophy and music (...) is not found before the 20th century. For this reason, Ṣāliḥ Nābī's al-Falsafa al-Mūsiḳī work is remarkable in terms of its title. There are brief explanations about various issues in the work but the most important issue that attracts our opinion is the musical perception of the period. Because Ṣāliḥ Nābī, as a witness at that time, thinks that music has been neglected for a long time in the Ottoman Empire. This is the reason why he has already taken him to a work. In this article, it has been tried to be given to today's musical literalism. Summary: Ṣāliḥ Nābī was born on May 5, 1886, in Istanbul Yedikule. After his primary and secondary education, he started the Military Medicine Faculty in Cengelkoy on March 13, 1901. He graduated in 1911 after having studied for a total of ten years here. Prior to his graduation he worked as assistant at Bel-Air Hospital in Switzerland for a while. He died at the age of twenty-eight in 1914 after having practiced medicine in several different regions.Ṣāliḥ Nābī, who died at a young age, has two works that arrive present days. One of them is the graduation thesis named Mental Illnesses and Bel-Air Hospital in the Twentieth Century. In this work that he published in 1911, he made suggestions about the architectural works to be done in this area by making use of some of the examinations in Switzerland Bel-Air Bâmârhânesi where he served as an assistant for a while. The other work, which is also the subject of our work, is named al-Falsafa al-Mūsiḳī(Philosophy of Musica).Al-Falsafa al-Mūsiḳīis composed of thirty-two pages. The first fascicle, which is the subject of our work, is the only known number of this work that planned to be published as monthly magazines. This work is written to explain the subjects of music and philosophy. But this work could not continue because of Ṣāliḥ Nābī’s participation in the Balkan Wars after his graduation and later his death at a young age. Al-Falsafa al-Mūsiḳīconsists of three parts, one of which is the introduction part. Under the heading entitled "Medhal", the cultural and musical environment of the Ottomans in those days is mentioned and the purpose of writing the work is explained. The second part is about the musical influences on soul. This section examines the following topics: Musical influence on soul, the importance and service of the ancient Greeks to music, some notes about music in history. The name of the last part is “Mūsiḳīnin İctimā’iyāt ve Tārihle Munāsebeti (Relation of Music with Sociology and History)”. Under the last title these subjects are respectively discussed: the place of music in social life, the origins of music, the invention of some instruments used by the ancient Greeks, especially the "lyric", the services of the ancient Greeks as music, the development of music in the Arab world and its pioneers, the effect of the invention and dissemination of musical notation.As you can see, although the author uses “music” and “philosophia” words in the name of work, he has made statements on many issues. We will examine these issues under five headings in terms of better understanding of the work and on the subject matter integrity. These are: The origin of the word of “al-Mūsiḳī/music”, the musical thought in the work, the history of music, the musical understanding and works in the Ottoman in the twentieth century and the music-literature relation. Since the topics under these headings will be given in detail in the article, we can summarize them briefly as follows. There is some information in the sources of musicology that the origin of the word of “al-Mūsiḳī/music” is derived from the ancient Greeks. According to this idea, word of “al-Mūsiḳī/music” comes from “musa” which is the goddess of poetry and music. But Ṣāliḥ Nābī did not accept this claim. The author states that this word is used to be by the ancient Greeks, but also existed long before them. Moreover, Sālih Nâbî states that such thoughts arise as a result of a mistake such as searching for the origin of everything in the ancient Greeks. Ṣāliḥ Nābī states that music is art that can express the deepest feelings of the soul. This is the humane direction of music. On the social side, music is the most important means of revealing the structure of a society and the world of thought. For this reason, the development of music shows the development of the country. Therefore, music is important in child bringing-up and in the first education period of a child. Because the generation who knows the music, senses the deepest feeling of the soul (which is the conscience, they also have moral norms that are socially necessary. There are some explanations of music history in the work of Ṣāliḥ Nābī. The author bases musical history before the creation of Adam. Because the voice was there before man was created. The works of the ancient Greeks in the history of music cannot be denied. They have reached important information on issues such as instrument inventions, influence of music on soul, the fact that music becomes a science, and they have conveyed them to future generations with their works. The author, who stated that similar works were done in the world of Islam, gives two examples with the mention of Fārābī and Ibrāhīm al-Mavsilī. One of the issues that the author is talking about is the influence of music on soul. Ṣāliḥ Nābī is a doctor interested in music. He had also done research on this subject, prepared a thesis as mentioned before, and published his work. The author, explaining this effect of music, has given examples in the history that some wars have been gained thanks to music.One of the most remarkable parts of the work of Ṣāliḥ Nābī is that he analysed the situation of the Ottoman Empire at that time. The author criticizes the current rulings for their indifference to Turkish music. Moreover, he expresses that they are trying to dig root of Turkish music for a while. During this period, a disconnection between the Ottoman palace and the people has begun. Because in the Ottoman palace music is considered to be an elite art and the pleasures of the people are ignored. The author, describing this negative situation, states that despite all of this, there is a correction in the current state of Turkish music in its period. Now the Ottoman palace was not indifferent to Turkish music. In addition, some theoretical studies about Turkish music have begun to emerge in the Ottoman Empire.The author, who also deals with the relationship between music and literature, expresses that these two fields are very close to each other. Therefore, a good poet should know music and a good musician should know literature. (shrink)

It has long been thought that the ancient Greeks did not take mechanics seriously as part of the workings of nature, and that therefore their natural philosophy was both primitive and marginal. In this book Sylvia Berryman challenges that assumption, arguing that the idea that the world works 'like a machine' can be found in ancient Greek thought, predating the early modern philosophy with which it is most closely associated. Her discussion ranges over topics including balancing and (...) equilibrium, lifting water, sphere-making and models of the heavens, and ancient Greek pneumatic theory, with detailed analysis of thinkers such as Aristotle, Archimedes, and Hero of Alexandria. Her book shows scholars of ancient Greek philosophy why it is necessary to pay attention to mechanics, and shows historians of science why the differences between ancient and modern reactions to mechanics are not as great as was generally thought. (shrink)

Born in a small town in Lithuania, Rabbi Reuven Agushewitz emigrated to the United States in 1929. A Talmudic genius and an autodidact in philosophy, Rabbi Agushewitz published three philosophical works in Yiddish. Ancient Greek Philosophy, the first published but the last to be translated into English, offers a unique blend of clear philosophical principles and a flavorful Yiddish style, which Mark Steiner's translation preserves. Rabbi Agushewitz not only explains what the early Greek philosophers said, he also (...) amplifies their arguments with creative proofs that the ancients themselves did not offer. His attempts to correlate ancient philosophical statements with monotheism will resonate with the modern religious reader. In addition to the present volume, R. Agushewitz's philosophical books are Faith and Heresy and Principles of Philosophy, both published in translation under the auspices of the Michael Scharf Publication Trust of Yeshiva University Press. His volume of Talmudic novellae on Bava Kamma, "Bi'ur Reuven," was published with approbation from both Rabbi Aharon Kotler and Rabbi Joseph B. Soloveitchik. These Talmudic giants differed sharply on their attitude toward the study of philosophy, but they concurred wholeheartedly on the scholarship of R. Agushewitz. (shrink)

Ancient Greek Philosophy: From the Presocratics to the Hellenistic Philosophers presents a comprehensive introduction to the philosophers and philosophical traditions that developed in ancient Greece from 585 BC to 529 AD. Provides coverage of the Presocratics through the Hellenistic philosophers Moves beyond traditional textbooks that conclude with Aristotle A uniquely balanced organization of exposition, choice excerpts and commentary, informed by classroom feedback Contextual commentary traces the development of lines of thought through the period, ideal for students new (...) to the discipline Can be used in conjunction with the online resources found at http://tomblackson.com/Ancient/toc.html. (shrink)

This article is a transcript of an interview with David Shaw, the author of the book, “An Ancient Greek Philosophy of Management Consulting: Thinking Differently about its Assumptions, Principles and Practice”, published with Springer in 2022. It discusses his reasons for looking to the ancient Greek philosophers for new ideas about management consulting, and how his papers for this journal have contributed to the development of the book.

In this paper, I will explain how ancient Greek philosophy can be made relevant to our lives. I do this by explaining how an instructor of a course in ancient Greek philosophy can teach Greek philosophy in a way that makes its study relevant to how the students in the course live their lives. Since this is the most likely way in which its relevance to contemporary life might be realized in practice, I explain its (...) relevance from this perspective. I contrast the different ways in which ancient Greek philosophy is taught, and give examples of how it can be taught that calls attention to the ways in which what the Greeks said are relevant to how students live their lives. (shrink)

A fascinating and hugely original book that explains how a vexing technical puzzle was solved, making possible some of the most exquisite music ever written. From the days of the ancient Greeks, the creation of music was thought to be governed by divine and immutable mathematical certainties. But over time skeptics came to understand that those rules limited harmonic possibilities. In Temperament , we see the traditionalists and the innovators battling across the centuries, engaging great thinkers like Newton, Kepler, (...) and Descartes as well as musicians, craftsmen, church leaders, and heads of state. At the heart of their dispute is the question of how the tones of a musical scale should be selected. The breakthrough came in the eighteenth century, when the modern keyboard was given perfect musical symmetry through a tuning of equal temperament, each pitch reliably equidistant from the ones that precede and follow it. This tuning allows a musical pattern begun on one note to be duplicated when starting on any other; it creates a musical universe in which the relationships between tones are reliably, uniformly consistent--a universe of greatly expanded possibility, one that allowed Liszt, Chopin, Brahms, Debussy, and all those who followed to compose the piano music we listen to today. Stuart Isacoff relates the story of the reinvention of the piano--a story that encompasses social history, religion, philosophy, and science as well as musicology--in a concise and sparkling narrative. Temperament is a jewel of a book. (shrink)

Book synopsis: This is the first volume of a two-volume introduction to and guide through philosophy. It is intended to orientate, assist, and stimulate the reader at every stage in the study of the subject. Eleven extended essays have been specially commissioned from leading philosophers; each surveys a major area of the subject and offers an accessible but sophisticated account of the main debates. An extended introduction maps out the philosophical terrain and explains how the different subjects relate to each (...) other. The first part of the book deals with the foundations of philosophical enquiry: epistemology; philosophical logic; methodology; metaphysics; and the philosophy of mind. The second part offers four historical chapters, two on ancient and two on modern philosophy, introducing great thinkers from the past, explaining and discussing their ideas, and showing the value of studying them today. The third part comprises two chapters devoted to questions of value, in ethics and aesthetics. Full annotated bibliographies are provided at the ends of chapters to serve as guides to further reading. This is real philosophy, not simplified philosophy; it will be accessible for the beginner but equally valuable for the third-year student. Deep and challenging questions are not shirked; the reader will be given a sense of involvement in the practice of philosophy today. (shrink)

Ancient Greek Psychology and the Modern Mind-Body Debate offers an overview of Platonic-Aristotelian thought on man with a view to considering what its alternative conceptual framework may contribute to the modern debate which is dominated by the scepticism confronting modern reductionism. -/- The mind-body problem is central to the modern philosophical and cultural debate because we cannot understand what man is until we understand what consciousness is and how it interacts with the body. Although many suggestions have been (...) offered, no convincing account has as yet appeared. Perhaps it was all mistaken ideology from the start? A crucial (and fatal?) distinction was made by modern natural science in the 17th century between the subjective/qualitative and the objective/quantitative. -/- The ancient Greeks, notably Plato and Aristotle, focused not on consciousness and experience, but on goal-directed reason/form, and the contrast was not mechanical matter, but the particular. The latter owed its intelligibility and being to reason and form and did not, therefore, constitute a realm of its own. Hence the ancient picture of man did not fall apart either: the soul is conceived of as a dynamic-telic aspect of the human organism. -/- Considering the problems and consequent scepticism that confronts modern reductionism and the recent appearance of holistic ideology in many areas it is suggested that we take a fresh look at the alternative conceptual framework of our ancient Greek ancestors. (shrink)

According to a prominent narrative, the problem of recognition arises in the modern period in opposition to premodern notions of honor. This chapter invites us to reconsider this narrative by examining two views of honor in ancient Greek thought. I first show that Homeric honor includes contestable norms of reciprocal respect and esteem for individual virtue. I then show how Plato appropriates the Homeric view in his ethical psychology yet articulates a competing view of the nature and value (...) of honor. By showing that ancient Greek honor is more continuous with theories of recognition than has been appreciated, this chapter offers fresh perspectives on a central strand of ancient Greek ethics and its relevance to social and political thought. (shrink)

The prevailing narrative in the history of science maintains that the ancient Greeks did not have a concept of a ‘law of nature’. This paper overturns that narrative and shows that some ancient Greek philosophers did have an idea of laws of nature and, moreover, they referred to them as ‘laws of nature’. This paper analyzes specific examples of laws of nature in texts by Plato, Aristotle, Philo of Alexandria, Nicomachus of Gerasa, and Galen. These examples emerged (...) out of the closely intertwined Platonic and Pythagorean traditions, and these philosophers’ texts make reference to laws of nature when describing arithmetical methods, arithmological doctrines, or medical theories. Nicomachus’ laws of nature are especially noteworthy, because they have features that historians look for in the search for the origin of the modern concept of laws of nature. Nicomachus’ laws of nature are mathematical, universal, and necessary. This paper raises the possibility that the ancient Platonic and Pythagorean traditions influenced the subsequent development of the idea of laws of nature in medieval and early modern Europe, including the conception of laws of nature deployed by Johannes Kepler and Isaac Newton. (shrink)

We present an approach in which ancient Greek mathematical proofs by Hippocrates of Chios and Euclid are addressed as a form of (guided) intentional reasoning. Schematically, in a proof, we start with a sentence that works as a premise; this sentence is followed by another, the conclusion of what we might take to be an inferential step. That goes on until the last conclusion is reached. Guided by the text, we go through small inferential steps; in each one, (...) we go through an autonomous reasoning process linking the premise to the conclusion. The reasoning process is accompanied by a metareasoning process. Metareasoning gives rise to a feeling-knowing of correctness. In each step/cycle of the proof, we have a feeling-knowing of correctness. Overall, we reach a feeling of correctness for the whole proof. We suggest that this approach allows us to address the issues of how a proof functions, for us, as an enabler to ascertain the correctness of its argument and how we ascertain this correctness. (shrink)

This chapter contains sections titled: Socrates and Dialectical Method Plato Aristotle Hellenistic Methodology.

Ancient greek sholarship constitutes a precious resource for classicists, but one that is underutilized because graduate students and even mature scholars lack familiarity with its conventions. The peculiarities of scholarly Greek and the lack of translations or scholarly aids often discourages readers from exploiting the large body of commentaries, scholia, lexica, and grammatical treatises that have been preserved on papyrus and via the manuscript tradition. Now, for the first time, there is an introduction to such scholarship that (...) will enable students and scholars unfamiliar with this material to use it in their work. Ancient Greek Scholarship includes detailed discussion of the individual ancient authors on whose works scholia, commentaries, or single-author lexica exist, together with explanations of the probable sources of that scholarship and the ways it is now used, as well as descriptions of extant grammatical works and general lexica. These discussions, and the annotated bibliography of more than 1200 works, also include evaluations of the different texts of each work and of a variety of electronic resources.This book not only introduces readers to ancient scholarship, but also teaches them how to read it. Here readers will find a detailed, step-by-step introduction to the language, a glossary of over 1500 grammatical terms, and a set of more than 200 passages for translation, each accompanied by commentary. The commentaries offer enough help to enable undergraduates with as little as two years of Greek to translate most passages with confidence; in addition, readers are given aids to handling the ancient numerical systems, understanding the references found in works of ancient scholarship, and using an apparatus criticus. Half the passages are accompanied by a key, so that the book is equally suitable for those studying on their own and for classes with graded homework. (shrink)

I argue that Eudaimonism was not Ancient Greek common sense. After dividing Eudaimonism into Psychological and Normative varieties, I present evidence from Greek literature that the Ancient Greeks did not commonsensically accept Eudaimonism. I then review, and critique, evidence that has been offered for the opposite claim that Eudaimonism was Ancient Greek common sense. This claim is often called on to explain why Ancient Greek philosophers embraced Eudaimonism; the idea is that they (...) did so because it was the ethical common sense of their day. But, according to the case I make in this paper, this explanation cannot stand. Those looking to explain the Eudaimonistic character of Ancient Greek ethical thought must turn to other explanations. (shrink)

The Club, by the Greek author Stratis Tsirkas, classified among the political novels, is a work that brings also to the center stage the importance of myths and symbols, both ancient Greek and Judeo-Christian, in the context of the Second World War in the Middle East. People of various nationalities and goals, boundless and completely confused, profaning the sacred and at the same time making sacred the profane, are concentrated around the city of Jerusalem. The novel’s mythic (...) imaginary revolves around three main axes: the first is the sacredness of the city and the importance of the center; the second concerns aquatic symbols and dreams and the third, the symbol of woman. Their analysis will help us to perceive the myths and symbols as modus vivendi and their effect on human consciousness, behavior and action in 1942, during the period of the armed conflict in Europe. (shrink)

An introductory text dealing with the Pre-Socratic philosophers and central aspects of Plato.

In Homer’s account of the adventurous journey of Odysseus, the song of the sirens was so appealing and tempting that it lured sailors to their deaths. Warned by the goddess Kirke, Odysseus overcame the trap by plugging his crew’s ears with wax. An archaeo-acoustical research expedition undertaken by members of Humboldt University Berlin made sound propagation experiments at the supposedly historical scene at the Galli Islands where it’s said that the sirens originally sung. At the site we broadcasted both synthetic (...) signals and natural voices via loudspeakers in the direction Odysseus most probably should have approached the Siren’s island. Subjective listening as well as objective acoustic analysis of the recorded signals revealed evidence for a combination of site-specific acoustic effects, which may explain the nature and origin of the song of the sirens in Homer. The local arrangement of the three islands deforms the acoustic signals by amplification and by changes in timbre. Two female singers from the Berlin State Opera were asked to sing differently pitched musical intervals to be tested in the Li Galli environment. The experiment evinced that the first overtones would be merged by the echo of the rocks; yet when singing pure thirds and less consonant intervals, which yield higher orders in the overtone series, the voices appear recognisable as being two. As a result, and particularly because Homer stresses the number of exactly two sirens several times, the evidence of our research supports the musicological theory for a rather early existence of enharmonic tunings and most prominently a two-part polyphonic singing of Greek songs. Given that the rocky formation of the Galli Islands most likely didn’t change during the geological tick of just 2,700 years, we conclude that there has been a real acoustic basis for the myth reported by Homer and that a “song of the Sirens”, most probably based on natural voices, was transformed by the particular acoustic conditions of the landscape in such a way that signals were amplified and sent out in one concrete direction. Based on these results, we continue to discuss further leading acoustic theories that offer new insights into the mythology and which were essential to motivate our expedition in the first place. After all, the question remains open what kind of beings the first emitters of the song might have been. (shrink)

The Key Themes in Ancient Philosophy series provides concise books, written by major scholars and accessible to non-specialists, on important themes in ancient philosophy that remain of philosophical interest today. In this volume Professor Wolfsdorf undertakes the first exploration of ancient Greek philosophical conceptions of pleasure in relation to contemporary conceptions. He provides broad coverage of the ancient material, from pre-Platonic to Old Stoic treatments; and, in the contemporary period, from World War II to the (...) present. Examination of the nature of pleasure in ancient philosophy largely occurred within ethical contexts but in the contemporary period has, to a greater extent, been pursued within philosophy of mind and psychology. This divergence reflects the dominant philosophical preoccupations of the times. But Professor Wolfsdorf argues that the various treatments are complementary. Indeed, the Greeks' examinations of pleasure were incisive and their debates vigorous, and their results have enduring value for contemporary discussion. (shrink)

In 1988 the philosopher Gilles Deleuze remarked that throughout his career he had always been 'circling around' a concept of nature. Showing how Deleuze weaves original readings of Plato, the Stoics, Aristotle, and Epicurus into some of his most famous arguments about event, difference, and problem, Michael James Bennett argues that these interpretations of ancient Greek physics provide vital clues for understanding Deleuze's own conception of nature. -/- "Deleuze and Ancient Greek Physics" delves into the original (...) Greek and Latin texts and situates Deleuze's interpretations in relation to contemporary scholarship on ancient philosophy. It reveals that these readings are both more complex and controversial than they may at first appear. Generating both new critical analyses of Deleuze and an appreciation for his classical erudition, this book will be a valuable resource for anyone interested in ancient Greek philosophy, Deleuze's philosophical project, or his unique methodology in the history of philosophy. (shrink)