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This selection of reviews and papers is intended to stimulate renewed reflection on the fundamental and practical aspects of probability in physics. While putting emphasis on conceptual aspects in the foundations of statistical and quantum mechanics, the book deals with the philosophy of probability in its interrelation with mathematics and physics in general. Addressing graduate students and researchers in physics and mathematics together with philosophers of science, the contributions avoid cumbersome technicalities in order to make the book worthwhile reading for nonspecialists and specialists alike.
TheconferenceChanceinPhysics: FoundationsandPerspectiveswasheldfrom
29thNovemberto3rdDecember1999inIschia, Italy. Itwassponsoredbythe
IstitutoItalianoPerGliStudiFiloso?ciinNaples,
bytheDeutscheForschun- gemeinschaft(DFG),
andbytheSocietaItalianaDiFondamentiDellaFisica.
SponsoringbytheInternationalSchoolforAdvancedStudies(ISAS)ofTrieste,
Italy, madethecompilationofthisvolumepossible;thefundingbytheIs-
tutoItalianoPerGliStudiFiloso?ciwascrucialfortheconferenceandisvery
gratefullyacknowledged.
TheIstitutomanagedtoprovideauniqueatmosphere
foraninterdisciplinarymeeting,
andtheseproceedingsre?ectindeedthevery
friendlybutneverthelessintenseandneverendingdiscussionsononeofthemost
debatedissuesofscience: probability,
andinparticularprobabilityinphysics.
Wegratefullyacknowlegdetheorganisationalworkaswellastheeditorialwork
donebyoursecretaryofthemeetingPhDstudentRoderichTumulka.
Themeetingwasintendedtostimulaterenewedre?ectiononthefundam-
talandpracticalaspectsofprobabilityinphysics,
inparticularthefoundations ofstatisticalsechanics,
theprobabilityinthefoundationsofquantummech- ics,
thealgebraicviewofprobabilityandthephilosophyofprobabilityinits
interrelationwithphysics. Questionslikewhatprobabilityis,
orwhatitisabout, orhowprobability entersphysicsareofasubtlekind.
Theyaredi?cultinvariousways, often
mixedupwiththeenormouscomplexityandtheinescapablelackofmat-
maticalrigorinthephysicalapplication,
orwiththefoundationalproblemsof quantummechanics,
wheretheprobabilisticignoranceconcerningthevaluesof
certainphysicalquantitieshasevenbeenelevatedtoamatterofprinciple.
At present,
theunderstandingofprobabilityinphysicsisalmostaspersonalasthe
understandingofquantumtheory.
Theaimoftheconferencewasthustofocusonideasaboutprobabilityin
physics, itsmeaninganditsphilosophicalimplications,
byreviewingthedi?erent
facetsofprobabilityinphysicsinitsmodernsettingsandbytakingintoaccount
modernquantumtheorieswithoutobservers,
wheretheoriginofprobabilityis notmysti?edbydogmatism.
Thereviewsweregiveninone-hourtalks, andthediscussionswereheldin
theformofroundtables, whereshortercontributionswerealsogiven.
Thespeakerswereaskednottodilutethemainthemesoftheconference
withtechnicalitiesandtofocussharplyontheissueofprobability. Thiswas
VI Preface
takentoheartbyallspeakersandthemeetingthusprovedverysuccessful. The
contributionsinthisvolumeconsequentlyfocusonconceptualissues,
andthey
makeworthwhilereadingforspecialistsinthe?eldoffoundationsaswellasfor
nonspecialists,
becauseextensivetechnicalpriorknowledgeisnotrequired. The
contributionshavebeenleftintheordertheywerediscussedinthemeeting,
whichprovedtobeaverynaturalone: 1. ClassicalStatisticalMechanics,
whereBoltzmann'sunderstandingofstat-
ticalmechnanicsasarisingfromkineticgastheoryisreviewedandputinto
modernperspectives,
withanoutlookonrelativisticstatisticalmechanics.
Therelativelackofemphasisonthee?ectofchaoticbehaviouronthefo-
dationsofprobabilityisnoteworthy. 2. QuantumMechanics,
wherewereviewthoseontologicalquantumtheories,
thathavebeenmostseriouslydiscussedintherecentyears. Amongthese
areadeterministictheory(Bohmianmechanics)andboththeintrinsically
randomtheoriesofwavepacketreductionandtheoperator-basedconsistent
(decoherent)histories. Itstartswiththe"orthodox"view, againwith-
phasisontheprobabilisticaspectsofthesetheories. 3. Chaoticsystems,
wherethedynamicalaspectsforthefoundationsofpro-
bilityinphysicsareadressed. 4. PhilosophyofProbability,
wheretheissuesoftheearliersectionsarefurther
scrutinizedonphilosophicalgrounds.
Thesecontributionshavenoabstracts. T
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