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A false dichotomy is an informal fallacy consisting of a supposed dichotomy which fails one or both of the conditions: it is not jointly exhaustive and/or not mutually exclusive. In its most common form, two entities are presented as if they are exhaustive, when in fact other alternatives are possible.
A false dilemma, also referred to as false dichotomy or false binary, is an informal fallacy based on a premise that erroneously limits what options are available. The source of the fallacy lies not in an invalid form of inference but in a false premise.
For example, oxygen is necessary for fire. But one cannot assume that everywhere there is oxygen, there is fire. A condition X is sufficient for Y if X, by itself, is enough to bring about Y. For example, riding the bus is a sufficient mode of transportation to get to work.
Institutional dichotomy; Is–ought problem; L. Langue and parole; Left-hand path and right-hand path; Left–right political spectrum; Love and hate (psychoanalysis)
Dichotomy paradox: To reach its target, an airborne arrow must first reach an infinite number of midpoints between its current position and the target. Elevator paradox : Even though hydrometers are used to measure fluid density, a hydrometer will not indicate changes of fluid density caused by changing atmospheric pressure.
The Collapse of the Fact/Value Dichotomy and Other Essays. Harvard University Press. ISBN 978-0674009059. Silvestri P. (ed.), L. Einaudi, On Abstract and Historical Hypotheses and on Value judgments in Economic Sciences, Critical edition with an Introduction and Afterword by Paolo Silvestri, Routledge, London & New York, 2017.
An example of binary opposition is the male-female dichotomy. A post-structuralist view is that male can be seen, according to traditional thought, as dominant over female because male is the presence of a phallus, while the vagina is an absence or loss. John Searle has suggested that the concept of binary oppositions—as taught and practiced ...
An example of the above is that of the concepts "finite parts" and "wholes"; they cannot be defined without reference to each other and thus with some amount of circularity, but we can make the self-evident statement that "the whole is greater than any of its parts", and thus establish a meaning particular to the two concepts.