Creativity, Freedom, and Authority: A New Perspective On the Metaphysics of Mathematics

@article{Cole2009CreativityFA,
  title={Creativity, Freedom, and Authority: A New Perspective On the Metaphysics of Mathematics},
  author={J. Cole},
  journal={Australasian Journal of Philosophy},
  year={2009},
  volume={87},
  pages={589 - 608}
}
  • J. Cole
  • Published 2009
  • Philosophy
  • Australasian Journal of Philosophy
I discuss a puzzle that shows there is a need to develop a new metaphysical interpretation of mathematical theories, because all well-known interpretations conflict with important aspects of mathematical activities. The new interpretation, I argue, must authenticate the ontological commitments of mathematical theories without curtailing mathematicians' freedom and authority to creatively introduce mathematical ontology during mathematical problem-solving. Further, I argue that these two… Expand
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