According to mathematical induction (MI), if $latex a\in A$, $latex n\in A$, then $latex n+1 \in A$. Many theorems can be proved using MI. Can we use MI method to test physical theories? This will generalize MI to experimental mathematical induction (EMI). Suppose that theory T is tested at place A and it was found... Continue Reading →
A Finite Set of Numbers Is Incomplete Unless Infinity Is Assumed
In this post we explore how infinity shapes the number system. Without infinity the number system would be incomplete. I would like to explain this with examples. Consider a set of two integers {1,2}. I want to multiply them element by element, we get A= [1, 2] B= [1, 2] N= A × B= [1,... Continue Reading →
Medical Surveys And Mathematical Induction
Medical surveys such as smoking causes cancer are not supported by mathematical induction. According to mathematical induction: If Q is a set of integers such that 1 belongs to Q n belongs Q implies n + 1 belongs then all integers greater or equal to 1 belong to Q. Let us make a set of... Continue Reading →
Mr. Monologue 