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See also List of Ship of Theseus examples Sorites paradox (also known as the paradox of the heap ): If one removes a single grain of sand from a heap, they still have a heap. If they keep removing single grains, the heap will disappear.
The infinitely dense gravitational singularity found as time approaches an initial point in the Big Bang universe is an example of a physical paradox.. A common paradox occurs with mathematical idealizations such as point sources which describe physical phenomena well at distant or global scales but break down at the point itself.
The consistency paradox or grandfather paradox occurs when the past is changed in any way that directly negates the conditions required for the time travel to occur in the first place, thus creating a contradiction. A common example given is traveling to the past and intervening with the conception of one's ancestors (such as causing the death ...
A paradox 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 or apparently true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion.
[1] [2] Russell's paradox shows that every set theory that contains an unrestricted comprehension principle leads to contradictions. [3] According to the unrestricted comprehension principle, for any sufficiently well-defined property , there is the set of all and only the objects that have that property.
This contradiction, as opposed to metaphysical thinking, is not an objectively impossible thing, because these contradicting forces exist in objective reality, not cancelling each other out, but actually defining each other's existence. According to Marxist theory, such a contradiction can be found, for example, in the fact that:
This was part of Kant's critical program of determining limits to science and philosophical inquiry. These contradictions are inherent in reason when it is applied to the world as it is in itself, independently of any perception of it (this has to do with the distinction between phenomena and noumena). Kant's goal in his critical philosophy was ...
This was resolved by the discovery of nuclear fusion, the main energy source of the Sun. [27] Contradictions can also be explained as the result of theories approximating more fundamental (non-contradictory) phenomena. For example, atomic theory is an approximation of quantum mechanics.