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Astronomy

Leonid Zhmud

in Pythagoras and the Early Pythagoreans

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.003.0010
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter begins with a discussion of Egyptian and Babylonian influences in Greek astronomy. It considers the development of Pythagorean astronomy before Philolaus. It then focuses on the ... More


Mathematics

Leonid Zhmud

in Pythagoras and the Early Pythagoreans

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.003.0008
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter turns from Pythagorean religion to Pythagorean science, primarily to mathematics. It shows that the similarities between Oriental calculations and Greek geometry are delusory, while ... More


Similarity and Patterns of Generalization

Paul F. A. Bartha

in By Parallel Reasoning: The Construction and Evaluation of Analogical Arguments

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195325539
eISBN:
9780199776313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325539.003.0006
Subject:
Philosophy, Logic/Philosophy of Mathematics

This chapter develops the thesis that the goal of an analogical argument is to generalize a particular logical, causal or explanatory relationship. Three separate types of similarity prominent in ... More


Music and the Making of Modern Science

Peter Pesic

Published in print:
2014
Published Online:
May 2017
ISBN:
9780262027274
eISBN:
9780262324380
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262027274.001.0001
Subject:
Music, History, Western

Music played a significant role in the making of modern science. In ancient Greek natural philosophy, music formed the earthly meeting place between numbers and perception. For the next two ... More


Pythagoras and the Early Pythagoreans

Leonid Zhmud

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.001.0001
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

In ancient tradition, Pythagoras (c.570–c.495 bc) emerges as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. Arguably the most ... More


On the Transmigration of Souls: Reincarnation Into Animal Bodies in Pythagoras, Empedocles, and Plato

Catherine Osborne

in Dumb Beasts and Dead Philosophers: Humanity and the Humane in Ancient Philosophy and Literature

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199282067
eISBN:
9780191712944
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199282067.003.0003
Subject:
Philosophy, Ancient Philosophy

This chapter considers what is involved in the claim that some species are ‘similar to’ or ‘different from’ ourselves, and what role such claims play in moral discourse. Examples are taken from the ... More


Who Were the Pythagoreans?

Leonid Zhmud

in Pythagoras and the Early Pythagoreans

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.003.0004
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter begins with a description of the history of Pythagorean societies after the death of Pythagoras. It then considers the criteria used by Aristoxenus in compiling his list of Pythagoreans. ... More


The Pythagorean Communities

Leonid Zhmud

in Pythagoras and the Early Pythagoreans

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.003.0005
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter explores the kind of community founded by Pythagoras. It considers those types of association which actually existed in Greece in the Archaic and Classical periods. If the Pythagorean ... More


Harmonics and Acoustics

Leonid Zhmud

in Pythagoras and the Early Pythagoreans

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199289318
eISBN:
9780191741371
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199289318.003.0009
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter begins with a discussion of Pythagoras and the science of music. The fundamental principles of Greek musical theory were taken up and developed by European musicologists. Three basic ... More


The Cabala of Pegasus

Giordano Bruno

Published in print:
2002
Published Online:
October 2013
ISBN:
9780300092172
eISBN:
9780300127911
Item type:
book
Publisher:
Yale University Press
DOI:
10.12987/yale/9780300092172.001.0001
Subject:
Philosophy, Philosophy of Language

Giordano Bruno's The Cabala of Pegasus grew out of the great Italian philosopher's experiences lecturing and debating at Oxford in early 1584. Having received a cold reception there because of his ... More


Xenocrates and the Systematization of Platonism

John Dillon

in The Heirs of Plato: A Study of the Old Academy (347-274 BC)

Published in print:
2003
Published Online:
November 2003
ISBN:
9780198237662
eISBN:
9780191597336
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198237669.003.0003
Subject:
Philosophy, Ancient Philosophy

Xenocrates, who had accompanied Plato on one of his visits to Sicily, became head of the Academy in 339 B.C. Xenocrates stays close to what he takes to be the cosmological doctrine of Plato's ... More


On “Crystal Growth” in Harmonic Space: (1993/2003)

James Tenney

Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter (eds)

in From Scratch: Writings in Music Theory

Published in print:
2015
Published Online:
April 2017
ISBN:
9780252038723
eISBN:
9780252096679
Item type:
chapter
Publisher:
University of Illinois Press
DOI:
10.5406/illinois/9780252038723.003.0018
Subject:
Music, Theory, Analysis, Composition

James Tenney talks about his “crystal growth” algorithm, an idea that suggests a new “harmonic syntax” for harmonic space. As a quantitative model, it is both suggestively rich for future composition ... More


Ideal Sacrifice vs. the Ideal of No Sacrifice

Daniel Ullucci

in The Christian Rejection of Animal Sacrifice

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199791705
eISBN:
9780199932436
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199791705.003.0003
Subject:
Religion, Religion in the Ancient World

This chapter analyzes the competition to define the meaning and purpose of animal sacrifice among various ancient cultural producers. These include: Greek, Roman, and Jewish philosophers, Hebrew ... More


Epilogue: Julian and the Rejection of Sacrifice

Daniel Ullucci

in The Christian Rejection of Animal Sacrifice

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199791705
eISBN:
9780199932436
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199791705.003.0006
Subject:
Religion, Religion in the Ancient World

In the fourth century, the Roman Emperor Julian attempted to undo all the religious change wrought by the Christians. Julian was the first emperor after Constantine not to institute pro-Christian ... More


Pythagorean Women Philosophers: Between Belief and Suspicion

Dorota M. Dutsch

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198859031
eISBN:
9780191891632
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198859031.001.0001
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

Modern scholarly accounts of Greek philosophical history usually exclude women. And yet, from Dixaearchus of Messana to Diogenes Laertius, classical writers record the names of women philosophers ... More


Pythagorean Bodies and the Body of Altruism

Edith Wyschogrod

in Altruism and Altruistic Love: Science, Philosophy, and Religion in Dialogue

Published in print:
2002
Published Online:
March 2012
ISBN:
9780195143584
eISBN:
9780199848119
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195143584.003.0004
Subject:
Psychology, Social Psychology

Altruism may be seen as endorsing actions that exceed the limits of what is taken to be one's duty, whether by the control of contrary inclinations and interests or without effort. As a starting ... More


The Distant Music of the Spheres: Language as Axiomatic System

Thomas Jackson Rice

in Cannibal Joyce

Published in print:
2008
Published Online:
September 2011
ISBN:
9780813032191
eISBN:
9780813038810
Item type:
chapter
Publisher:
University Press of Florida
DOI:
10.5744/florida/9780813032191.003.0002
Subject:
Literature, 20th-century Literature and Modernism

This chapter takes a different direction in looking at Joyce's Dubliners wherein it traces not only the cannibalization of the literary, pictorial, and music working in this work but also the ... More


Aristoxenus’ Pythagorean Precepts: A Rational Pythagorean Ethics

Carl A. Huffman

in Early Greek Ethics

Published in print:
2020
Published Online:
October 2020
ISBN:
9780198758679
eISBN:
9780191818592
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198758679.003.0031
Subject:
Philosophy, History of Philosophy, Moral Philosophy

“Aristoxenus’ Pythagorean Precepts: A Rational Pythagorean Ethics” examines neglected evidence for Pythagorean ethics and the Pythagorean way of life as it existed in the late fifth and early fourth ... More


Conclusion

Dorota M. Dutsch

in Pythagorean Women Philosophers: Between Belief and Suspicion

Published in print:
2020
Published Online:
November 2020
ISBN:
9780198859031
eISBN:
9780191891632
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198859031.003.0008
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

The Conclusion brings together the views on the gender of knowledge as found in Pythagorean texts. The texts repeatedly consider the possibility that philosophy is a female as well as male endeavor. ... More


From Neo-Platonism to Souls in Silico: Quests for Immortality

Edith Wyschogrod

in Crossover Queries: Dwelling with Negatives, Embodying Philosophy's Others

Published in print:
2006
Published Online:
March 2011
ISBN:
9780823226061
eISBN:
9780823235148
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fso/9780823226061.003.0013
Subject:
Philosophy, Philosophy of Religion

With the emergence of a new conceptual landscape of dematerialization, many contemporary philosophers turn not to a plural subject, a we, but to the subject that is ... More


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