Mathematics without Numbers: Towards a Modal-Structural Interpretation (repost)
Mathematics without Numbers: Towards a Modal-Structural Interpretation (Clarendon Paperbacks) by Geoffrey Hellman
English | ISBN: 0198240341 , 0198249349 | 1994 | PDF | 168 pages | 1,3 MB
English | ISBN: 0198240341 , 0198249349 | 1994 | PDF | 168 pages | 1,3 MB
Hellman here presents a detailed interpretation of mathematics as the investigation of "structural possibilities," as opposed to absolute, Platonic objects. After treating the natural numbers and analysis, he extends the approach to set theory, where he demonstrates how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.