Monads and Sets: On Gödel, Leibniz, and the Reflection Principle

@inproceedings{Atten2015MonadsAS,
  title={Monads and Sets: On G{\"o}del, Leibniz, and the Reflection Principle},
  author={Mark van Atten},
  year={2015}
}
Godel once offered an argument for the general reflection principle in set theory that took the form of an analogy with Leibniz’ monadology. I discuss the mathematical and philosophical background to Godel’s argument, reconstruct the proposed analogy in detail, and argue that it has no justificatory force. The paper also provides further support for Godel’s idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found… CONTINUE READING
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