English, asked by muktaroy155, 8 months ago

It is a sort of paradox ______ it is true : we are never more in danger _____ when we were think ourselve more secure​

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Answered by rosiemal87
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Answer:

hi dude please attach options in your question

Answered by lakshyagandhi2007
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Explanation:

Paradox

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For other uses, see Paradox (disambiguation).

This apparently impossible object, located in Gotschuchen, Austria, projects into a Penrose triangle.

A paradox, also known as an antinomy, is a logically self-contradictory statement or a statement that runs contrary to one's expectation.[1][2] It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.[3][4] A paradox usually involves contradictory-yet-interrelated elements that exist simultaneously and persist over time.[5][6][7]

In logic, many paradoxes exist which are known to be invalid arguments, but which are nevertheless valuable in promoting critical thinking,[8] while other paradoxes have revealed errors in definitions which were assumed to be rigorous, and have caused axioms of mathematics and logic to be re-examined.[1] One example is Russell's paradox, which questions whether a "list of all lists that do not contain themselves" would include itself, and showed that attempts to found set theory on the identification of sets with properties or predicates were flawed.[9][10] Others, such as Curry's paradox, cannot be easily resolved by making foundational changes in a logical system.[11]

Examples outside logic include the ship of Theseus from philosophy, a paradox which questions whether a ship repaired over time by replacing each and all of its wooden parts, one at a time, would remain the same ship.[12] Paradoxes can also take the form of images or other media. For example, M.C. Escher featured perspective-based paradoxes in many of his drawings, with walls that are regarded as floors from other points of view, and staircases that appear to climb endlessly.[13]

In common usage, the word "paradox" often refers to statements that are ironic or unexpected, such as "the paradox that standing is more tiring than walking".[14]

Contents

1 Logical paradox

2 Quine's classification

3 In philosophy

4 In medicine

5 See also

6 References

6.1 Notes

6.2 Bibliography

7 External links

Logical paradox

See also: List of paradoxes

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Common themes in paradoxes include self-reference, infinite regress, circular definitions, and confusion or equivocation between different levels of abstraction.

Patrick Hughes outlines three laws of the paradox:[15]

Self-reference

An example is the statement "This statement is false", a form of the liar paradox. The statement is referring to itself. Another example of self-reference is the question of whether the barber shaves himself in the barber paradox. Yet another example involves the question "Is the answer to this question 'No'?"

Contradiction

"This statement is false"; the statement cannot be false and true at the same time. Another example of contradiction is if a man talking to a genie wishes that wishes couldn't come true. This contradicts itself because if the genie grants his wish, he did not grant his wish, and if he refuses to grant his wish, then he did indeed grant his wish, therefore making it impossible either to grant or not grant his wish without leading to a contradiction.

Vicious circularity, or infinite regress

"This statement is false"; if the statement is true, then the statement is false, thereby making the statement true. Another example of vicious circularity is the following group of statements:

"The following sentence is true."

"The previous sentence is false."

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