Abstract
We shall describe in this chapter the beginnings of nonstandard number theory and nonstandard analysis. Essentially we deal here with logically very simple applications of model theory. No big logical theorems will be applied, just the simplest notions of satisfaction, elementary extensions, and ultraproducts. Nonstandard mathematics was extensively developed by A. Robinson, who used a system of type theory in most of his work in this area. We shall restrict ourselves to a much simpler framework.
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Bibliography
Robinson, A. Non-standard Analysis. Amsterdam: North-Holland (1966).
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© 1976 Springer-Verlag Inc.
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Monk, J.D. (1976). Nonstandard Mathematics. In: Mathematical Logic. Graduate Texts in Mathematics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9452-5_21
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DOI: https://doi.org/10.1007/978-1-4684-9452-5_21
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4684-9454-9
Online ISBN: 978-1-4684-9452-5
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