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In doing so, we argue on pragmatic grounds against mathematical literalism as an appropriate constraint to mathematical constructions: such literalism would allow mathematics to constrain biology when the biology ought to be constraining mathematics.
"But they are not purely mathematical constructions, either".
The idea of energy as a real constituent of matter has, however, become too deeply rooted to be abandoned lightly, and most physicists find it useful to continue treating electric and magnetic fields as more than mathematical constructions.
The device of associating mechanical properties with the fields, which up to this point had appeared merely as convenient mathematical constructions, has even greater implications when conservation of energy is considered.
All mathematical constructions which can be carried out in TST can be carried out in NF.
Any topos may be conceived as possible "universe of discourse" in which mathematical assertions may be interpreted and mathematical constructions may be performed.
Similar(36)
But if a certain mathematical construction can be constructed out of another one, this is a purely mathematical fact, and as such independent of logic.
This generation was laid out as if it were a process in time, but the generation-story was to be understood instead as one understands a mathematical construction: the construction takes place in time, but what is constructed is an eternal structure.
(La Rocco 20100318 STEFANIE NELSON DANCE GROUP (Friday through Sunday) "Proximity Spiral" is an evening inspired by the ingenious mathematical construction known as the Fibonacci sequence.
All three are carefully contrived perspective scenes, their rigorous mathematical construction emphasized by the converging lines of receding patterned marble pavings, flanked by palazzos with classical architectural features and more conventional urban houses reminiscent of those of Florence.
Imagine a system of 3N mutually orthogonal coordinates in a 3N-dimensional space (a space of more than three dimensions is a purely mathematical construction, sometimes known as a hyperspace).
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CEO of Professional Science Editing for Scientists @ prosciediting.com