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Kant formulated the basic axiom of the public law: "All actions relating to the right of other men are unjust if their maxim is not consistent with publicity".
The Hopkins study found that the financial losses suffered by first-time black home buyers during the real estate boom had everything to do with the most basic axiom of real estate investment: location, location, location.
A basic axiom of baseball is that a runner should not gamble on going from second to third with two outs because he is just as likely to score from either base on a hit.
This is actually a very puzzling situation which was first experimentally verified by Michelson and Edward Williams Morley, another American scientist, in 1887 and which is the basic axiom of Albert Einstein's theory of relativity.
One of the more general philosophical questions that have emerged from this research is the following: which conditions have to be satisfied in order for a principle to be a putative basic axiom of mathematics?
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The key result was the detailed reconstruction of how to derive, within second order logic, the basic axioms of second order arithmetic from Hume's Principle (and definitions).
When population geneticist Lisa Meffert began growing houseflies in her lab at the University of Houston back in 1982, she probably never expected that her experiments with the fast-breeding arthropods would throw into question some of the basic axioms of conservation biology.
In the second half of the nineteenth century Dedekind proved that the basic axioms of arithmetic have, up to isomorphism, exactly one model, and that the same holds for the basic axioms of Real Analysis.
The epistemic models deploying support functions that we just presented above are compatible with the basic axioms of AGM.
This is conceived as the formal principle of the soul, engendering in the potential intellect both the basic axioms of thought and the ability to receive all other intelligible notions (Mahdi, 127).
While the basic axioms of probability seem reasonably regarded in this way, this is much less clear for countable additivity, Reflection, and various other principles, whose violation leaves one open to a Dutch Book.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com