Table Of ContentTheForgottenRevolution
Springer-Verlag
Berlin
Heidelberg
GmbH
Lucio Russo
The Forgotten
Revolution
HowScienceWasBornin300BC
andWhyItHadtoBeReborn
WiththeCollaboration
oftheTranslator,SilvioLevy
1 3
LucioRusso SilvioLevy (Translator)
DipartimentodiMatematica MathematicalSciencesResearchInstitute
UniversitàdiRoma"TorVergata" 17GaussWay
ViadellaRicercaScientifica Berkeley,CA94720-5070,USA
00133Roma,Italy e-mail:[email protected]
FirstpublishedasLarivoluzionedimenticata
©GiangiacomoFeltrinelliEditoreMilano,1996
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MathematicsSubjectClassification(2000):01A20
ISBN 978-3-540-20396-4 ISBN 978-3-642-18904-3 (eBook)
DOI 10.1007/978-3-642-18904-3
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©Springer-VerlagBerlinHeidelberg2004
Originallypublished by Springer-Verlag Berlin Heidelberg New York in 2004
Softcover reprint of the hardcover 1st edition 2004
Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnot
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Foreword to the English Edition
TheoriginalplanforthebookyouareholdingwassimplytohaveanEn-
glish translation of the second Italian edition. This would probably have
happenedasplannedifsomeoneotherthanSilvioLevyhadbeenchosen
as the translator. But after having exchanged with him the first few hun-
drede-mailmessages,Irealizedthattheworkwastakingonanaltogether
different aspect: he not only pointed out slips and inaccuracies of vari-
ous kinds, but also kept suggesting editorial changes to the text. I made
manyofhisproposedalterations,whileothersledtolongexchangeswith
varyingoutcomes.Inbothcasesthefinalproductwasimprovedthanksto
hiscontribution.(ThethirdItalianeditionwillincorporatemanyofthese
changes.) Silvio also drew a number of illustrations, procured and fine-
tunedmanyothers,compiledthegeneralindexandhandledthetechnical
aspects of the project. I am very grateful to Catriona Byrne of Springer-
Verlag,who,inproposinghiscollaboration,notonlyallowedthistobea
betterbook,butalsogainedmeafriend.
LucioRusso
Rome,September2003
e
e
.
Contents
Introduction 1
1 TheBirthofScience 5
1.1 TheErasureoftheScientificRevolution . . . . . . . . . . . . . . . . 5
1.2 OntheWord“Hellenistic” . . . . . . . . . . . . . . . . . . . . . . . 10
1.3 Science . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
1.4 WasThereScienceinClassicalGreece? . . . . . . . . . . . . . . . . 21
1.5 OriginsofHellenisticScience . . . . . . . . . . . . . . . . . . . . . . 27
2 HellenisticMathematics 31
2.1 PrecursorsofMathematicalScience . . . . . . . . . . . . . . . . . . 31
2.2 Euclid’sHypothetico-DeductiveMethod . . . . . . . . . . . . . . . 39
2.3 GeometryandComputationalAids . . . . . . . . . . . . . . . . . . 41
2.4 DiscreteMathematicsandtheNotionofInfinity . . . . . . . . . . . 44
2.5 ContinuousMathematics . . . . . . . . . . . . . . . . . . . . . . . . 45
2.6 EuclidandHisPredecessors . . . . . . . . . . . . . . . . . . . . . . 48
2.7 AnApplicationofthe“MethodofExhaustion” . . . . . . . . . . . 49
2.8 TrigonometryandSphericalGeometry . . . . . . . . . . . . . . . . 52
3 OtherHellenisticScientificTheories 57
3.1 Optics,ScenographyandCatoptrics . . . . . . . . . . . . . . . . . . 57
3.2 GeodesyandMathematicalGeography . . . . . . . . . . . . . . . . 65
3.3 Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70
3.4 Hydrostatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
3.5 Pneumatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
3.6 Aristarchus,Heliocentrism,andRelativeMotion . . . . . . . . . . 78
3.7 FromtheClosedWorldtotheInfiniteUniverse . . . . . . . . . . . 86
3.8 PtolemaicAstronomy . . . . . . . . . . . . . . . . . . . . . . . . . . 89
viii Contents
4 ScientificTechnology 95
4.1 MechanicalEngineering . . . . . . . . . . . . . . . . . . . . . . . . . 96
4.2 Instrumentation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 98
4.3 MilitaryTechnology . . . . . . . . . . . . . . . . . . . . . . . . . . . 105
4.4 SailingandNavigation . . . . . . . . . . . . . . . . . . . . . . . . . 112
4.5 NavalArchitecture.ThePharos . . . . . . . . . . . . . . . . . . . . 115
4.6 HydraulicandPneumaticEngineering . . . . . . . . . . . . . . . . 118
4.7 UseofNaturalPower . . . . . . . . . . . . . . . . . . . . . . . . . . 123
4.8 TheAntikytheraMechanism . . . . . . . . . . . . . . . . . . . . . . 128
4.9 Heron’sRole . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130
4.10 TheLostTechnology . . . . . . . . . . . . . . . . . . . . . . . . . . . 137
5 MedicineandOtherEmpiricalSciences 143
5.1 TheBirthofAnatomyandPhysiology . . . . . . . . . . . . . . . . . 143
5.2 RelationshipBetweenMedicineandExactSciences . . . . . . . . . 145
5.3 AnatomicalTerminologyandtheScrewPress . . . . . . . . . . . . 150
5.4 TheScientificMethodinMedicine . . . . . . . . . . . . . . . . . . . 151
5.5 DevelopmentandEndofScientificMedicine . . . . . . . . . . . . . 156
5.6 BotanyandZoology . . . . . . . . . . . . . . . . . . . . . . . . . . . 158
5.7 Chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165
6 TheHellenisticScientificMethod 171
6.1 OriginsofScientificDemonstration . . . . . . . . . . . . . . . . . . 171
6.2 PostulatesorHypotheses . . . . . . . . . . . . . . . . . . . . . . . . 174
6.3 SavingthePhainomena . . . . . . . . . . . . . . . . . . . . . . . . . 175
6.4 Definitions,ScientificTermsandTheoreticalEntities . . . . . . . . 179
6.5 EpistemeandTechne. . . . . . . . . . . . . . . . . . . . . . . . . . . 185
6.6 PostulatesandtheMeaningof“Mathematics”and“Physics” . . . 187
6.7 HellenisticScienceandExperimentalMethod . . . . . . . . . . . . 194
6.8 ScienceandOrality. . . . . . . . . . . . . . . . . . . . . . . . . . . . 196
6.9 WhereDoClichésabout“AncientScience”ComeFrom? . . . . . . 197
7 SomeOtherAspectsoftheScientificRevolution 203
7.1 UrbanPlanning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203
7.2 ConsciousandUnconsciousCulturalEvolution . . . . . . . . . . . 209
7.3 TheTheoryofDreams . . . . . . . . . . . . . . . . . . . . . . . . . . 214
7.4 PropositionalLogic. . . . . . . . . . . . . . . . . . . . . . . . . . . . 218
7.5 PhilologicalandLinguisticStudies. . . . . . . . . . . . . . . . . . . 221
7.6 TheFigurativeArts,LiteratureandMusic . . . . . . . . . . . . . . 224
8 TheDecadenceandEndofScience 231
8.1 TheCrisisinHellenisticScience . . . . . . . . . . . . . . . . . . . . 231
8.2 Rome,ScienceandScientificTechnology . . . . . . . . . . . . . . . 235
8.3 TheEndofAncientScience . . . . . . . . . . . . . . . . . . . . . . . 240
Contents ix
9 Science,TechnologyandEconomy 243
9.1 ModernismandPrimitivism . . . . . . . . . . . . . . . . . . . . . . 243
9.2 ScientificandTechnologicalPolicy . . . . . . . . . . . . . . . . . . . 245
9.3 EconomicGrowthandInnovationinAgriculture . . . . . . . . . . 249
9.4 NonagriculturalTechnologyandProduction . . . . . . . . . . . . . 253
9.5 TheRoleoftheCityintheAncientWorld . . . . . . . . . . . . . . . 257
9.6 TheNatureoftheAncientEconomy . . . . . . . . . . . . . . . . . . 260
9.7 AncientScienceandProduction . . . . . . . . . . . . . . . . . . . . 263
10 LostScience 269
10.1 LostOptics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 269
10.2 Eratosthenes’MeasurementoftheMeridian . . . . . . . . . . . . . 273
10.3 Determinism,ChanceandAtoms . . . . . . . . . . . . . . . . . . . 277
10.4 CombinatoricsandLogic . . . . . . . . . . . . . . . . . . . . . . . . 281
10.5 PtolemyandHellenisticAstronomy . . . . . . . . . . . . . . . . . . 282
10.6 TheMoon,theSlingandHipparchus . . . . . . . . . . . . . . . . . 286
10.7 APassageofSeneca . . . . . . . . . . . . . . . . . . . . . . . . . . . 293
10.8 RaysofDarknessandTriangularRays. . . . . . . . . . . . . . . . . 296
10.9 TheIdeaofGravityafterAristotle . . . . . . . . . . . . . . . . . . . 302
10.10 Tides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
10.11 TheShapeoftheEarth:SlingorEllipsoid? . . . . . . . . . . . . . . 309
10.12 SeleucusandtheProofofHeliocentrism . . . . . . . . . . . . . . . 311
10.13 Precession,Comets,etc. . . . . . . . . . . . . . . . . . . . . . . . . . 315
10.14 PtolemyandTheonofSmyrna . . . . . . . . . . . . . . . . . . . . . 317
10.15 TheFirstFewDefinitionsintheElements . . . . . . . . . . . . . . . 320
11 TheAge-LongRecovery 329
11.1 TheEarlyRenaissances . . . . . . . . . . . . . . . . . . . . . . . . . 329
11.2 TheRenaissance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 335
11.3 TheRediscoveryofOpticsinEurope . . . . . . . . . . . . . . . . . 344
11.4 ALateDiscipleofArchimedes . . . . . . . . . . . . . . . . . . . . . 349
11.5 TwoModernScientists:KeplerandDescartes . . . . . . . . . . . . 355
11.6 TerrestrialMotion,TidesandGravitation . . . . . . . . . . . . . . . 360
11.7 Newton’sNaturalPhilosophy . . . . . . . . . . . . . . . . . . . . . 365
11.8 TheRiftBetweenMathematicsandPhysics . . . . . . . . . . . . . . 379
11.9 AncientScienceandModernScience . . . . . . . . . . . . . . . . . 385
11.10 TheErasureofAncientScience . . . . . . . . . . . . . . . . . . . . . 388
11.11 RecoveryandCrisisofScientificMethodology . . . . . . . . . . . . 391
Appendix 399
ListofPassages 403
References 419
GeneralIndex 435
.
Introduction
TheperiodfromthelatefourthtothelatesecondcenturyB.C.witnessed,
in Greek-speaking countries, an explosion of objective knowledge about
theexternalworld.WhileGreekculturehadreachedgreatheightsinart,
literature and philosophy already in the earlier classical era, it is in the
so-called Hellenistic period that we see for the first time—anywhere in
the world—the appearance of science as we understand it now: not an
accumulationoffactsorphilosophicallybasedspeculations,butanorga-
nizedefforttomodelnatureandapplysuchmodels,orscientifictheoriesin
asensewewillmakeprecise,tothesolutionofpracticalproblemsandtoa
growingunderstandingofnature.Weowethisnewapproachtoscientists
such as Archimedes, Euclid, Eratosthenes and many others less familiar
todaybutnolessremarkable.
Yet,notlongafterthisgoldenperiod,muchofthisextraordinarydevel-
opmenthad beenreversed. Rome borrowed what it was capable of from
theGreeksandkeptitforalittlewhileyet,butcreatedverylittlescienceof
its own. Europe was soon smothered in the obscurantism and stasis that
blockedmostavenuesofintellectualdevelopmentforathousandyears—
until, as is well known, the rediscovery of ancient culture in its fullness
pavedthewaytothemodernage.
Whatwerethelandmarksinthemeteoricriseofscience2300yearsago?
Whyaretheysolittleknowntoday,evenamongscientists,classicistsand
historians?Howtotheyrelatetothepost-1500sciencethatwe’refamiliar
with from school? What led to the end of ancient science? These are the
questions that this book discusses, in the belief that the answers bear on
choiceswefacetoday.
Description:The period from the late fourth to the late second century B. C. witnessed, in Greek-speaking countries, an explosion of objective knowledge about the external world. WhileGreek culture had reached great heights in art, literature and philosophyalreadyin the earlier classical era, it is in the so-ca