TITLE:
The Concept of the Mathematical Infinity and Economics
AUTHORS:
Bhekuzulu Khumalo
KEYWORDS:
Variable; Dimension of Variable; Derivative of Three Dimensional Variable; Continuous/Discrete Variable; Trans Dimensional Mathematics; Marginal Analysis
JOURNAL NAME:
Modern Economy,
Vol.3 No.6,
October
31,
2012
ABSTRACT: Mathematics is the basis of all science for the simple fact that it allows us to measure, counting in its basic sense is measuring. Mathematics is most useful when it is accurate. When we look at the concept of infinity we get new insights into mathematics and how it can be more accurate. This paper endeavors to show that understanding infinity will lead scientists, including economists to take into consideration another classification of variables over and above the traditional classification of continuous and discrete variables. This classification is the dimension of the variable. This problem would never have come to light if knowledge was not given a unit, the knowl, giving anything a unit allows it to be studied in a scientific manner. One finds that knowledge behaves as if it is a three dimensional variable and at other times as if it has infinite dimensions, and the mathematics has to be modified to deal with knowledge as it behaves differently. The reasons are explained hopefully fully in this paper to be grasped and understood. This paper is a follow up to a research note published in International Advances in Economic Research, titled “The Concept of the mathematical Infinity and Economics”.