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
Cavalieri's principle base × height, can be established by Cavalieri's principle if one knows only that it is true in one case. One may initially establish it in a single case by partitioning the interior of a triangular prism into three pyramidal components of equal volumes. One may show the equality of those three volumes by means of Cavalieri's principle. In fact, Cavalieri's principle or similar infinitesimal argument is "necessary" to compute the volume of cones and even pyramids, which is essentially the content of Hilbert's third problem – polyhedral pyramids and cones cannot be cut and rearranged into a standard shape,