Belief of religious thought, "belief-that" instead belonged to epistemological considerations. To "believe in" someone or something is a distinct concept from "believing-that." There are at least these types of belief-in: Economic beliefs are beliefs which are reasonably and necessarily contrary to the tenet of rational choice or instrumental rationality. Studies of the Austrian tradition of the economic thought, in the context of analysis of the influence and subsequent degree of change resulting from existing economic knowledge and belief, has contributed the most to the subsequent holistic collective analysis. Insofar as the truth of belief is expressed in sentential and propositional form
Racetrack principle functions formula_23 and formula_24. Given that formula_1 for all formula_14, and formula_15, formula_28 for all formula_2, and formula_30, which by the proof of the racetrack principle above means formula_31 for all formula_2 so formula_4 for all formula_14. The racetrack principle can be used to prove a lemma necessary to show that the exponential function grows faster than any power function. The lemma required is that for all real x. This is obvious for x<0 but the racetrack principle is required for x>0. To see how it is used we consider the functions and Notice that f(0) = g(0) and that