Mathematical Responses to the Hole Argument: Then and Now
Clara Bradley, James Owen Weatherall
Abstract
Abstract We argue that several apparently distinct responses to the hole argument, all invoking formal or mathematical considerations, should be viewed as a unified “mathematical response.” We then consider and rebut two prominent critiques of the mathematical response before reflecting on what is ultimately at issue in this literature.
Topics & Concepts
Argument (complex analysis)EpistemologyMathematical modelMathematical theoryMathematical practiceComputer scienceFormal descriptionMathematical economicsCalculus (dental)MathematicsPhilosophyPhysicsBiologyQuantum mechanicsBiochemistryStatisticsDentistryMedicineProgramming languageHistory and Theory of MathematicsRelativity and Gravitational TheoryQuantum Mechanics and Applications