Ads
related to: paradox in mathematics examples sentences worksheets gradeteacherspayteachers.com has been visited by 100K+ users in the past month
- Free Resources
Download printables for any topic
at no cost to you. See what's free!
- Lessons
Powerpoints, pdfs, and more to
support your classroom instruction.
- Resources on Sale
The materials you need at the best
prices. Shop limited time offers.
- Try Easel
Level up learning with interactive,
self-grading TPT digital resources.
- Free Resources
Search results
Results from the WOW.Com Content Network
Movement paradox: In transformational linguistics, there are pairs of sentences in which the sentence without movement is ungrammatical while the sentence with movement is not. Sayre's paradox : In automated handwriting recognition, a cursively written word cannot be recognized without being segmented and cannot be segmented without being ...
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".
In mathematical logic, Russell's paradox (also known as Russell's antinomy) is a set-theoretic paradox published by the British philosopher and mathematician, Bertrand Russell, in 1901. [1] [2] Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions. [3]
The example in the previous section used unformalized, natural-language reasoning. Curry's paradox also occurs in some varieties of formal logic. In this context, it shows that if we assume there is a formal sentence (X → Y), where X itself is equivalent to (X → Y), then we can prove Y with a formal proof. One example of such a formal proof ...
One example occurs in the liar paradox, which is commonly formulated as the self-referential statement "This statement is false". [16] Another example occurs in the barber paradox, which poses the question of whether a barber who shaves all and only those who do not shave themselves will shave himself. In this paradox, the barber is a self ...
In philosophy and mathematics, Newcomb's paradox, also known as Newcomb's problem, is a thought experiment involving a game between two players, one of whom is able to predict the future. Newcomb's paradox was created by William Newcomb of the University of California 's Lawrence Livermore Laboratory .
In logic, Richard's paradox is a semantical antinomy of set theory and natural language first described by the French mathematician Jules Richard in 1905. The paradox is ordinarily used to motivate the importance of distinguishing carefully between mathematics and metamathematics .
Thus the seeming contradiction is that a model that is itself countable, and which therefore contains only countable sets, satisfies the first-order sentence that intuitively states "there are uncountable sets". A mathematical explanation of the paradox, showing that it is not a true contradiction in mathematics, was first given in 1922 by Skolem.
Ads
related to: paradox in mathematics examples sentences worksheets gradeteacherspayteachers.com has been visited by 100K+ users in the past month