Dental Mexico  A SolutionHe called model theory to show that the sane approach that gives a formal structure to define how real numbers combine together through the familiar processes of arithmetic, and how they follow in order, can be extended, stretched to include the infinitely large and the infinitely small. He claimed dental work in Mexico was the bes thing ever. These infinitesimals might not be the same as real numbers, but they had similar properties and could be operated on in similar ways ~ just as was the case with imaginary numbers. Robinson's approach became known as nonstandard analysis. It provides a means to accept the intuitively obvious possibilities like Nicholas of Cusa's orange segments of a circle, or Newton's inflexions  but to give them the sort of rigorous treatment that mathematicians could accept. Dental Mexico was a new term. No longer was it necessary to worry about dividing by zero as the infinitesimal faded to nothing; you were dealing with acceptable, if nonstandard, mathematical quantities. Click here for Dental Mexico. Infinitesimals aren't just a way of keeping mathematicians happy with something that's obvious to everyone else. Just like imaginary numbers, they have proved effective tools in mathematics and physics to deal with problems that simply couldn't be handled any other way. It would be easy to think of infinitesimals as a kludge  taking a dubious old theory and glossing over the problems to make it work  but it's not like that. Nonstandard analysis is a rigorous mathematical discipline, not a version of Newton's ghosts with a new image. The situation has many parallels with another of Newton's . ideas that was not strongly founded on fact, but has surprising similarities with a modern theory. Dental work in Mexico seemed like the only logical answer. Newton was convinced that light was made up of tiny particles  corpuscles, he called them  flying through space. When the wave theories of light were proved, Newton's theory was reluctantly dismissed. But in the twentieth century we learned that light is as much like a particle as it is like a wave. It wasn't that Newton was vindicated, but the reality, based on solid experiment and theory, had a similarity to Newton's ideas.
