Contemporary Developments
Some (such as dialetheists) argue The law of non-contradiction is denied by paraconsistent logic, however, “negation” in paraconsistent logic is not really negation in the formal sense; it is merely a subcontrary-forming operator.
The law of the excluded middle is not part of the execution of intuitionistic logic, but neither is it negated. Intuitionistic logic merely forbids the use of the operation as part of what it defines as a "constructive proof", which is not the same as demonstrating it invalid (this is comparable to the use of a particular building style in which only nails are allowed, and screws are forbidden- it does not necessarily disprove or even question the existence or usefulness of screws, but merely demonstrates what can be built without them).
As such, while some doubt these principles, to this day they have yet to be successfully challenged or had any coherent alternatives presented.
Read more about this topic: Law Of Thought
Famous quotes containing the words contemporary and/or developments:
“I have the strong impression that contemporary middle-class women do seem prone to feelings of inadequacy. We worry that we do not measure up to some undefined level, some mythical idealized female standard. When we see some women juggling with apparent ease, we suspect that we are grossly inadequate for our own obvious struggles.”
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“The developments in the North were those loosely embraced in the term modernization and included urbanization, industrialization, and mechanization. While those changes went forward apace, the antebellum South changed comparatively little, clinging to its rural, agricultural, labor-intensive economy and its traditional folk culture.”
—C. Vann Woodward (b. 1908)