This paper studies the mathematical problems in the 18th century novels. Robinson reported his journal with number when he was stranded into a deserted island. This means that human being can show the wisdom of how to live without having any merits of civilization. And Gulliver made readers imagine geometric worlds that were different from the real world. Both of the two characters not only provided imaginary places but also failed to demonstrate its mathematical things. But here I called it pure mathematical model giving multiple image to the real world. In order to open the mathematical argument it is true that we start with idea of Plato and logic of Aristotle. It is very important to know their concept of sense and intelligence in philosophy to have in common the image and infinitesimal of number. The notion of infinitesimal from Zeno`s paradox verifies strict testimony of problem in philosophy and extends its real meaning from geometric existence in novel. Proof is a main method to testify the truth and falsity of proposition. But all of them have abstractive structures where we can change our inner thought, tell the way of speaking and organize our pure form in logic. There were mathematical and geometric factors typically in Robinson Crusoe by Defoe and Gulliver`s Travels by Swift. When we want to see the real life of character in novel, the notion of matheme is directly related to our insight and understanding. On the one hand, the characters in novel show us their reason, rationality, perfection, and possibility of unreal world, on the other hand, we catch the notion of real world through the mathematical understanding. Therefore, the matheme makes us find the minimal meaning of the situation and have its place of possible knowledge.