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CONSTRUCTIVE REVERSE MATHEMATICS: COMPACTNESS PROPERTIES

Hajime Ishihara

in From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198566519
eISBN:
9780191713927
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566519.003.0016
Subject:
Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter proposes a base formal system for constructive reverse mathematics to classify various theorems in intuitionistic, constructive recursive, and classical mathematics by logical ... More


Hensel: Lyrical Expansions, Elisions, and Rhythmic Flow

Yonatan Malin

in Songs in Motion: Rhythm and Meter in the German Lied

Published in print:
2010
Published Online:
September 2010
ISBN:
9780195340051
eISBN:
9780199863785
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195340051.003.0003
Subject:
Music, Theory, Analysis, Composition

This is the first of five chapters on the songs of individual composers. Whereas narrative accounts of the nineteenth‐century Lied typically begin with Franz Schubert, here phrase expansion, ... More


Schumann: Doubling and Reverberation

Yonatan Malin

in Songs in Motion: Rhythm and Meter in the German Lied

Published in print:
2010
Published Online:
September 2010
ISBN:
9780195340051
eISBN:
9780199863785
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195340051.003.0005
Subject:
Music, Theory, Analysis, Composition

The interdependence of vocal and piano melodies has been frequently mentioned as a characteristic feature of Schumann's songs. This chapter considers rhythmic aspects of that interdependence, and ... More


Revolution’s Chances

John T. Hamilton

in Security: Politics, Humanity, and the Philology of Care

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157528
eISBN:
9781400846474
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157528.003.0012
Subject:
Literature, Criticism/Theory

This chapter begins with a discussion of Kant, who led an almost abstract life of a confirmed bachelor. Heine links Kant's bachelorhood with his remote quarters, depicted as leading what we might ... More


Shylock Is Shakespeare

Kenneth Gross

Published in print:
2006
Published Online:
February 2013
ISBN:
9780226309774
eISBN:
9780226309927
Item type:
book
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226309927.001.0001
Subject:
Literature, Shakespeare Studies

Shylock, the Jewish moneylender in The Merchant of Venice who famously demands a pound of flesh as security for a loan to his antisemitic tormentors, is one of Shakespeare's most complex and ... More


The Last Mock Epic? Heine's Atta Troll

Ritchie Robertson

in Mock-Epic Poetry from Pope to Heine

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199571581
eISBN:
9780191722356
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199571581.003.0012
Subject:
Literature, European Literature, 18th-century Literature

Heine's Atta Troll (1847) was partly inspired by his friend Immermann's Tulifäntchen (1830). Both present epic heroism, mockingly but wistfully, as an anachronism doomed by the progress of modern ... More


Song Beyond the Nation: Translation, Transnationalism, Performance

Philip Ross Bullock and Laura Tunbridge (eds)

Published in print:
2021
Published Online:
September 2021
ISBN:
9780197267196
eISBN:
9780191953859
Item type:
book
Publisher:
British Academy
DOI:
10.5871/bacad/9780197267196.001.0001
Subject:
Music, Ethnomusicology, World Music

Within classical music, much writing on the Western song tradition since 1800 has assumed a direct link between musical cultures and national literatures, and song has typically been interpreted as ... More


The Discipline of Philosophy and the Invention of Modern Jewish Thought

Willi Goetschel

Published in print:
2012
Published Online:
May 2013
ISBN:
9780823244966
eISBN:
9780823252510
Item type:
book
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823244966.001.0001
Subject:
Philosophy, Philosophy of Religion

Exploring the subject of Jewish philosophy as a controversial construction site of the project of modernity, this book examines the implications of the different and often conflicting notions that ... More


Leo Lowenthal and the Jewish Renaissance

Martin Jay

in Jews and the Ends of Theory

Published in print:
2018
Published Online:
May 2019
ISBN:
9780823282005
eISBN:
9780823284795
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823282005.003.0002
Subject:
Religion, Judaism

This chapter traces Leo Lowenthal's early intellectual life through a series of passionate engagements with traditional and modernist Jewish thought that continued to find expression in his work at ... More


Classical Analysis

John Stillwell

in Reverse Mathematics: Proofs from the Inside Out

Published in print:
2019
Published Online:
May 2020
ISBN:
9780691196411
eISBN:
9781400889037
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691196411.003.0003
Subject:
Mathematics, History of Mathematics

This chapter explores the basic concepts that arise when real numbers and continuous functions are studied, particularly the limit concept and its use in proving properties of continuous functions. ... More


Recursive Comprehension

John Stillwell

in Reverse Mathematics: Proofs from the Inside Out

Published in print:
2019
Published Online:
May 2020
ISBN:
9780691196411
eISBN:
9781400889037
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691196411.003.0007
Subject:
Mathematics, History of Mathematics

This chapter proves the equivalences between the weak König lemma and the Heine–Borel, extreme value, and uniform continuity theorems. It also discusses the equivalence of the weak König lemma with ... More


Italian Lizards and Literary Politics I: Carrying the Torch and Getting Singed

Jay Geller

in Bestiarium Judaicum: Unnatural Histories of the Jews

Published in print:
2017
Published Online:
May 2018
ISBN:
9780823275595
eISBN:
9780823277148
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823275595.003.0006
Subject:
Society and Culture, Jewish Studies

This chapter undertakes a philology-inspired genealogy of Kafka’s invocation of an exemplary lizard on an Italian footpath in his critique of Max Brod’s novel The Jewesses, wherein Kafka remarks upon ... More


Tailing the Suspect, or the Braiding of Gender and Ethnic Difference

Jay Geller

in The Other Jewish Question: Identifying the Jew and Making Sense of Modernity

Published in print:
2011
Published Online:
January 2012
ISBN:
9780823233618
eISBN:
9780823241781
Item type:
chapter
Publisher:
Fordham University Press
DOI:
10.5422/fordham/9780823233618.003.0003
Subject:
Religion, Judaism

This chapter maps how European discourses have fetishized body parts of and techniques practiced upon members of cultures whose origins antedate Europe's and whose persistence therefore questions ... More


The Only Tone for Terror: Tony Harrison and the Gorgon’s Gaze

Henry Stead

in New Light on Tony Harrison

Published in print:
2019
Published Online:
September 2019
ISBN:
9780197266519
eISBN:
9780191884238
Item type:
chapter
Publisher:
British Academy
DOI:
10.5871/bacad/9780197266519.003.0017
Subject:
Literature, Poetry

This chapter introduces the reader to Tony Harrison’s audiovisual poetry, composed for and broadcast on British television through the late 1980s and 1990s. Harrison has to date made twelve full ... More


Ihr Bild

David Lewin

in Studies in Music with Text

Published in print:
2006
Published Online:
October 2011
ISBN:
9780195182088
eISBN:
9780199850594
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195182088.003.0006
Subject:
Music, Theory, Analysis, Composition

The sense of gloom and despair in Franz Schubert's Ihr Bild is so immanent that we take the past tense of the text, on first encounter, as a literary substitute for a present-tense narration. The ... More


Clara Schumann’s Setting of “Ich stand”

David Lewin

in Studies in Music with Text

Published in print:
2006
Published Online:
October 2011
ISBN:
9780195182088
eISBN:
9780199850594
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195182088.003.0007
Subject:
Music, Theory, Analysis, Composition

Clara Schumann, wife of Robert Schumann, apparently began to compose songs only after her marriage, for the first three that we know of were presented to her husband as a gift for Christmas that ... More


R. Schumann’s Anfangs wollt’ ich: A Study in Phrygian and Modern Minor

David Lewin

in Studies in Music with Text

Published in print:
2006
Published Online:
October 2011
ISBN:
9780195182088
eISBN:
9780199850594
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195182088.003.0008
Subject:
Music, Theory, Analysis, Composition

Heinrich Heine is said to have written the poem about a pair of tight shoes. Robert Schumann appears to have set the song very much in earnest, taking the text at face value. The chorale-like ... More


Of Venus, vagueness, and vision: Vernon Lee, Eugene Lee-Hamilton, and ‘the spell of the fragment’

Catherine Maxwell

in Second Sight: The Visionary Imagination in Late Victorian Literature

Published in print:
2008
Published Online:
July 2012
ISBN:
9780719071447
eISBN:
9781781701096
Item type:
chapter
Publisher:
Manchester University Press
DOI:
10.7228/manchester/9780719071447.003.0004
Subject:
Literature, Poetry

This chapter starts by meditating on the Romantic theme of the recovered sculptural relic and the theme of the god in exile derived by Vernon Lee and Eugene Lee-Hamilton from Pater, who had in turn ... More


Golems and Ghosts

Kenneth Gross

in Shylock Is Shakespeare

Published in print:
2006
Published Online:
February 2013
ISBN:
9780226309774
eISBN:
9780226309927
Item type:
chapter
Publisher:
University of Chicago Press
DOI:
10.7208/chicago/9780226309927.003.0011
Subject:
Literature, Shakespeare Studies

This chapter examines two more fully developed fictions of Shylock's afterlife to help clarify what is at stake when we reimagine such a creature. One of the most elaborate attempts to lend Shylock a ... More


Average Life (Grillparzer, Stifter, and the Art of Prosaic Reality)

in Exemplarity and Mediocrity: The Art of the Average from Bourgeois Tragedy to Realism

Published in print:
2008
Published Online:
June 2013
ISBN:
9780804758901
eISBN:
9780804769983
Item type:
chapter
Publisher:
Stanford University Press
DOI:
10.11126/stanford/9780804758901.003.0005
Subject:
Literature, European Literature

This chapter focuses on realist attempts to redefine greatness by inverting aesthetics' traditional hierarchies, juxtaposing Georg Wilhelm Friedrich Hegel's thesis on the “end of art” with Heinrich ... More


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