In the Supplement, Viète shows that once we accept as a fundamental geometrical postulate that the neusis problem is solvable, then we can, by legitimately geometrical means, solve the problems of trisecting a given angle and of constructing the two mean proportional between two given line segments.
Tooley (2008 and 2012) employs a Carnapian theory in which the basic equiprobability assumption is formulated in terms of what are called 'structure descriptions', and the fundamental postulate is that all structure descriptions are equally likely.
The fundamental postulate explored in this paper is whether the changing face of pastoral societies, resulting from market integration and sedentarisation, has consistently lead to land degradation as is commonly intimated in the literature today.
Weyl calls this: The Fundamental Postulate of Riemannian Geometry: Among the possible systems of parallel displacements of a vector to infinitely near points, that is among the possible sets of symmetric linear connection coefficients, there exists one and only one set, and hence one and only one system of parallel displacement, which is length preserving.
His Formulaire de mathématiques (Italian Formulario mathematico, "Mathematical Formulary"), published from 1894 to 1908 with collaborators, was intended to develop mathematics in its entirety from its fundamental postulates, using Peano's logic notation and his simplified international language.
One then looks for existing piles (fundamental postulates) that penetrate through the quagmire to solid rock, and attempts to drive home others at advantageous locations.
Above all, he emerges as the social theorist of science as it developed under the Old Regime to shape some of the fundamental postulates of Enlightenment thought" (Baker 1975, 385).
In postulating the universality of the global continuous spacetime symmetries, Einstein's construction of his special theory of relativity represents the first turning point in the application of symmetry to twentieth-century physics.[8] Einstein's special theory of relativity (STR) is constructed on the basis of two fundamental postulates.
This model is derived from Killeen's general theory of schedule-controlled behaviour, the Mathematical Principles of Reinforcement (MPR) [30], which is founded on fundamental postulates about the incentive value of reinforcers, biological constraints on responding, and the efficiency with which particular reinforcement schedules couple operant responses to reinforcers.
