This interest also led to Feza's work on quaternion analyticity, which continued practically to the end of his life ."
22.
In short, proponents of this explanation claimed to have reduced a dubious metaphysical faculty of pure reason to a legitimate linguistic notion of analyticity.
23.
The notion of the second form of analyticity leans on the notion of synonymy, which Quine believes is in as much need of clarification as analyticity.
24.
The notion of the second form of analyticity leans on the notion of synonymy, which Quine believes is in as much need of clarification as analyticity.
25.
The aim of this algorithm is to find the roots of a function of one complex variable inside any rectangular region of the function's analyticity ).
26.
The series expansion around a fixed point and the relevant convergence properties of the solution for the resulting orbit and its analyticity properties are cogently summarized by Szekeres.
27.
Gottlob Frege's notion of analyticity included a number of logical properties and relations beyond containment : symmetry, transitivity, antonymy, or negation and so on.
28.
The spontaneous loss of analyticity in a vortex sheet is a consequence of mathematical modeling since a real fluid with viscosity, however small, will never develop singularity.
29.
Following such considerations of Kripke and others ( such as Hilary Putnam ), philosophers tend to distinguish more clearly the notion of aprioricity from that of necessity and analyticity.
30.
For instance, the existence of the first derivative of a real function need not imply the existence of higher order derivatives, nor in particular the analyticity of the function.
