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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 ...
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.
If mathematics has been informally used throughout history, in numerous cultures and continents, then it could be argued that "mathematical practice" is the practice, or use, of mathematics in everyday life. One definition of mathematical practice, as described above, is the "working practices of professional mathematicians".
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
One might argue that if the institutional context is taken into account, putatively brute facts can be reduced to constituent facts. That is, in the context of something like the institution of a market, a customer ordering potatoes, etc. would entail that they owe the grocer compensation equal to the service that was provided.
Mathematics is a fundamental driver of today's economies and plays an everyday role in the decision making in capitalist markets. [18] When studied in its socio-economic context, the debates surrounding the ethical use of mathematics often go under different names, e.g. some people speak of the ethics of quantification. These discourses are ...
In clinical psychology, selective abstraction is a type of cognitive bias or cognitive distortion in which a detail is taken out of context and believed whilst everything else in the context is ignored. [1] It commonly appears in Aaron T. Beck's work in cognitive therapy.