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Aquinas and the others who held to his view recognized that a demonstrable attribute in a natural thing would have to be a potentiality, though, of course, an actuality could be demonstrated in a mathematical demonstration, where efficient causation is not at issue, and an occurrent attribute can be shown to inhere in the subject necessarily and at every time.
Establishing what is or is not a last resort is a matter not of abstract mathematical demonstration but of practical, concrete wisdom, acquired through experience and reflection.
A line for a possible rigorous mathematical demonstration is given.
Additionally, the steps of the mathematical demonstration are clearly specified, which was not the case for Wallace's formulation.
The study presents a rigorous mathematical demonstration of existence and uniqueness of the solution of well-posed dynamic elastoplasticity problems.
On the other hand, in our work, the mathematical demonstration of the obtained expressions (channel access probability and outage probability expressions) is quite different from the mentioned works.
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Prescott found mathematics particularly difficult, and resorted to memorizing mathematical demonstrations word-for-word, which he could do with relative ease, in order to hide his ignorance of the subject.
In 2004, Lan paid two hundred and forty thousand dollars for two of the Vatican books — first editions of Galileo's "Discourses and Mathematical Demonstrations Concerning Two New Sciences" and "The Assayer" — and a 1611 copy of Johannes Kepler's "Refraction".
Those denying the "causality" of mathematical demonstrations (Piccolomini, Pereyra, Gassendi etc).
For this reason, this work will be characterized by analytical content and by substantial mathematical demonstrations.
Since "potissimae" demonstrations had to be causal, Piccolomini attacked the argument by arguing that mathematical demonstrations are not causal.
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