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This misconception may originate from a misunderstanding based on the fact that the Earth's mantle convects, and the incorrect assumption that only liquids and gases can convect. In fact, a solid with a large Rayleigh number can also convect, given enough time, which is what occurs in the solid mantle due to the very large thermal gradient ...
Kant's antinomies are four: two "mathematical" and two "dynamical". They are connected with (1) the limitation of the universe in respect of space and time, (2) the theory that the whole consists of indivisible atoms (whereas, in fact, none such exist), (3) the problem of free will in relation to universal causality, and (4) the existence of a necessary being.
An antonym is one of a pair of words with opposite meanings. Each word in the pair is the antithesis of the other. A word may have more than one antonym. There are three categories of antonyms identified by the nature of the relationship between the opposed meanings.
In mathematics and logic, ambiguity can be considered to be an instance of the logical concept of underdetermination—for example, = leaves open what the value of is—while overdetermination, except when like =, =, =, is a self-contradiction, also called inconsistency, paradoxicalness, or oxymoron, or in mathematics an inconsistent system ...
This category contains paradoxes in mathematics, but excluding those concerning informal logic. "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction". "Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction".
Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.
The Free Library has a separate homepage. It is a free reference website that offers full-text versions of classic literary works by hundreds of authors. It is also a news aggregator, offering articles from a large collection of periodicals containing over four million articles dating back to 1984. Newly published articles are added to the site ...
A priori and a posteriori knowledge – these terms are used with respect to reasoning (epistemology) to distinguish necessary conclusions from first premises.. A priori knowledge or justification – knowledge that is independent of experience, as with mathematics, tautologies ("All bachelors are unmarried"), and deduction from pure reason (e.g., ontological proofs).
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