Corpus ID: 8123290

Perspex machine XI: topology of the transreal numbers

@inproceedings{Anderson2008PerspexMX,
  title={Perspex machine XI: topology of the transreal numbers},
  author={James Anderson},
  year={2008}
}
The transreal numbers are a total number system in which even, arithmetical operation is well defined even-where. This has many benefits over the real numbers as a basis for computation and, possibly, for physical theories. We define the topology of the transreal numbers and show that it gives a more coherent interpretation of two's complement arithmetic than the conventional integer model. Trans-two's-complement arithmetic handles the infinities and 0/0 more coherently, and with very much less… Expand

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