...Barrie Pettman; Kavous Ardalan Purpose Any adequate analysis of the nature of mathematics and its role in sciences necessarily requires fundamental understanding of the world views underlying the views expressed with respect to the nature and role of mathematics. Aims to discuss four general views...

... mathematical parlance, “equal”, signified by “=”, means “identical”, but, like Humpty Dumpty and David Hilbert, I feel free to use words any way I wish, provided that I explain their meaning clearly. I use the standard symbol < to express that a given balance is smaller than another. A line...

...Kavous Ardalan Any adequate analysis of the nature and role of the mathematical language in finance necessarily requires fundamental understanding of the worldviews underlying the views expressed with respect to the nature and role of language. This paper starts with the premise that any worldview...

... that all is possible. b. It is a pessimistic paradox, because it shows that the impossible is possible.  Mathematician’s paradox. Let M be a mathematician who may not be characterized by his mathematical work. a. To be a mathematician, M should have some...

...George M. Agiomirgianakis; Yiannis E. Mavrommatis In recent years, the use of mathematics in modern economics has generated criticisms, both from the profession (economists) as well as from other scientists concerned with the epistemological context of social sciences. In our paper we present...

... of teleology or the implicit philosophy underscoring mathematically rigorous and elegant models. The particular difficulty they face, however, is that the socialization process which occurs in graduate schools inculcates regard for mathematical technique to a much greater extent than it heightens awareness...

... in the context of these two independent sides of price determination. Subsequently, costs are minimized, profits are optimized, and individual utilities are maximized simultaneously. This is a condition of both the partial and general equilibrium conditions of markets. Ethics Macroeconomics Mathematics...