Corpus ID: 198953658

# Construction of the Transreal Numbers and Algebraic Transfields

```@inproceedings{Reis2015ConstructionOT,
title={Construction of the Transreal Numbers and Algebraic Transfields},
author={T. Reis and Walter Gomide and James Anderson},
year={2015}
}```
• Published 2015
The transreal numbers, introduced by James Anderson, are an extension of the real numbers. The four arithmetical operations of addition, subtraction, multiplication and division are closed on the set of transreal numbers. Transreal arithmetic has engendered controversy because it allows division by zero and is proposed as a replacement for real arithmetic. Anderson introduced the transreals intuitively and axiomatically. In the history of mathematics, constructive proofs have ended… Expand
13 Citations
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