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Journal Article
The Philosophical Review (1 January 2014) 123 (1): 1–41.
Published: 01 January 2014
... are both represented by credence 0, which violates a principle known as “regularity.” Following Skyrms 1980 and Lewis 1980, they recommend that we should instead use a much richer set of numbers, called the “hyperreals.” This essay argues that this popular view is the result of two mistakes. The first...
Journal Article
The Philosophical Review (1 January 2003) 112 (1): 27–56.
Published: 01 January 2003
... (1988) are just some of the mathematicians who have given sound foundations to such a theory. The key idea is that there are nonstandard models of a first-order theory of the real numbers, containing so-called “hyperreals,” with elements that behave like infinitesimals, and others that behave like...