A ring homomorphism is enough to get nonstandard analysis

A New Approach to Nonstandard Analysis

In this paper, we propose a new approach to nonstandard analysis without using the ultrafilters. This method is very simple in practice. Moreover, we construct explicitly the total order relation in the new field of the infinitesimal numbers. To illustrate the importance of this work, we suggest comparing  a few applications of this approach with the former methods.

Is It Enough to Get the Behavior Right?

This paper deals with the relationship between intelligent behaviour, on the one hand, and the mental qualities needed to produce it, on the other. We consider two well-known opposing positions on this issue: one due to Alan Turing and one due to John Searle (via the Chinese Room). In particular, we argue against Searle, showing that his answer to the so-called System Reply does not work. The a...

When is capital enough to get female microenterprises growing ?

We randomly gave cash and in-kind grants to male and female-owned microenterprises in urban Ghana. We find two striking results which contrast with a similar experiment in Sri Lanka. First, we find large average treatment effects of the in-kind grants for both female and male-owned enterprises. However, while the average increase in profits from in-kind grants to females is high, the gain in pr...

Tackling HIV in MENA: Talk Is Not Enough–It Is Time for Bold Actions: A Response to Recent Commentaries

FOUNDATIONS OF NONSTANDARD ANALYSIS A Gentle Introduction to Nonstandard Extensions