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
Homotopy principle of finding a "non-holonomic solution" is much easier to handle and can be addressed with the obstruction theory for topological bundles. Many underdetermined partial differential equations satisfy the h-principle. However, the falsity of an h-principle is also an interesting statement, intuitively this means the objects being studied have non-trivial geometry that cannot be reduced to topology. As an example, embedded Lagrangians in a symplectic manifold do not satisfy an h-principle, to prove this one needs to find invariants coming from pseudo-holomorphic curves. Perhaps the simplest partial differential relation is for the derivative to not vanish: formula_10 Properly, this is an