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Their long-standing collaboration (they were pioneers in the development of metabolic control analysis in the 1970s) was stimulated by Tom's father, Samuel Rapoport, himself a biochemist with mathematical convictions [ 27].
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Gödel shared Hilbert's conviction that all mathematical questions have definite answers.
Gödel was nonetheless inclined to deny the possibility of absolutely unsolvable problems, and although he did believe in mathematical Platonism, his reasons for this conviction were different, and he did not maintain that the incompleteness theorems alone establish Platonism.
Otherwise the proof does not increase our conviction in the consistency of mathematical analysis.
No significant difference was found between public health domains in terms of the perceived strength of conviction provided by statistical or mathematical epidemiology (Table 1).
In his lecture, Hilbert said, "This conviction of the solvability of any mathematical problem is a strong incentive in our work; it beckons us: This is the problem, find its solution.
Hilbert realized, albeit somewhat dimly, that some of his convictions can actually be considered to be mathematical conjectures.
Descartes's statement of the sine law of refraction, relating the angles of incidence and emergence at interfaces of the media through which light passes, had added a new mathematical regularity to the science of light, supporting the conviction that the universe is constructed according to mathematical regularities.
It wasn't mathematical backwardness that led geographers away from this approach but the conviction that to rely too heavily on maths was a dead end.
For that conviction is, he says, itself not a theorem or even a mathematical proposition.
The conviction lives on that the Germans are "the masters of method", thanks to their mathematical accomplishments in the field of process.
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