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1、FLORIDASTATEUNIVERSITYCOLLEGEOFARTSANDSCIENCESADEFENSEOFPLATONICREALISMINMATHEMATICS:PROBLEMSABOUTTHEAXIOMOFCHOICEByWATARUASANUMAADissertationsubmittedtotheDepartmentofPhilosophyinpartialfulfillmentoftherequirementsforthedegreeofDoctorofPhilosophyDegreeAwarded:SpringSemester,20
2、09ThemembersoftheCommitteeapprovetheDissertationofWataruAsanumadefendedonApril7,2009.__________________________RussellM.DancyProfessorDirectingDissertation__________________________PhilipL.BowersOutsideCommitteeMember__________________________J.PiersRawlingCommitteeMember______
3、____________________JoshuaGertCommitteeMemberApproved:_________________________________________________________________J.PiersRawling,Chair,Philosophy_________________________________________________________________JosephTravis,Dean,CollegeofArtsandSciencesTheGraduateSchoolhasv
4、erifiedandapprovedtheabovenamedcommitteemembers.iiACKNOWLEDGMENTSFirstofall,Iwouldliketothankallmydissertationcommitteemembers,Dr.RussellDancy,Dr.PiersRawling,Dr.JoshuaGertandDr.PhilipBowers.Specialthanksgotomymajorprofessor,Dr.Dancy,whohasguidedmydissertationeverystepoftheway.
5、Thecoursestheyoffered,especiallyDr.Dancy‟s“Plato‟s„UnwrittenDoctrines‟,”Dr.Rawling‟s“ModernLogicI&II”andDr.Gert‟s“PhilosophyofMathematics,”formedthebackboneofmydissertation.IwouldalsoliketothankDr.Bowers(DepartmentofMathematics)forservingasanoutsidecommitteemember.Itwasexceptio
6、nallyfortunatethatIhadanopportunitytopresentthepartsofmydissertationatthe2008Logic,MathematicsandPhysicsGraduatePhilosophyConferenceattheUniversityofWesternOntario.Theconferencehasmarkedamajorturningpointforme,andcontinuestoinspireandmotivatefurtherresearch.EspeciallyI‟mverygra
7、tefultoDr.JohnBellandDr.WilliamHarperfortheirkindandinsightfulwordsonmypresentation.Inaddition,Ihadopportunitiestothpresentthepartsofmydissertationatthe7HawaiiInternationalConferenceonArtsandthHumanitiesandatthe12NortheastFloridaStudentPhilosophyConference.Iwouldliketoexpressmy
8、appreciationtothegreataudiencefortheirattention.iiiTAB