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Quoting out of context (sometimes referred to as contextomy or quote mining) is an informal fallacy in which a passage is removed from its surrounding matter in such a way as to distort its intended meaning. [1] Context may be omitted intentionally or accidentally, thinking it to be non-essential. As a fallacy, quoting out of context differs ...
In mathematics, certain kinds of mistaken proof are often exhibited, and sometimes collected, as illustrations of a concept called mathematical fallacy.There is a distinction between a simple mistake and a mathematical fallacy in a proof, in that a mistake in a proof leads to an invalid proof while in the best-known examples of mathematical fallacies there is some element of concealment or ...
In mathematics, when a mathematical phenomenon runs counter to some intuition, then the phenomenon is sometimes called pathological. On the other hand, if a phenomenon does not run counter to intuition, it is sometimes called well-behaved or nice. These terms are sometimes useful in mathematical research and teaching, but there is no strict ...
Truth has two meanings that are not always separated: that which is in accordance with fact, and; a fact or belief that is accepted as true.; Facts established by inquiry, or a verifiably accurate statement is the meaning of truth normally used by the natural sciences and in legal contexts.
Another distinct category is well-knowable mathematics, a term introduced by John Conway. [3] These mathematical matters are known and factual, but not in active circulation in relation with current research (i.e., untrendy). Both of these concepts are attempts to describe the actual context in which research work is done.
In the context of limits, this is shorthand meaning for sufficiently large arguments; the relevant argument(s) are implicit in the context. As an example, the function log(log(x)) eventually becomes larger than 100"; in this context, "eventually" means "for sufficiently large x." factor through
Helping children learn the basic facts is an important goal in the Everyday Mathematics Curriculum. Most children should have developed an automatic recall of the basic addition and subtraction facts by the end of the second grade. They should also know most of their 1, 2, 5, and 10 multiplication facts by this time.
An important Internet protocol, the Border Gateway Protocol, was sketched out in 1989 by engineers on the back of "three ketchup-stained napkins", and is still known as the three-napkin protocol. [11] UTF-8, the dominant character encoding for the World Wide Web, [12] was designed by Ken Thompson and Rob Pike on a placemat. [13]