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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.
A bootstrap paradox, also known as an information loop, an information paradox, [6] an ontological paradox, [7] or a "predestination paradox" is a paradox of time travel that occurs when any event, such as an action, information, an object, or a person, ultimately causes itself, as a consequence of either retrocausality or time travel.
The apparent contradiction seen in the case of a true but falsifiable statement disappears once we know the technical definition. Falsifiability differs from verifiability , which was held as fundamental by many philosophers such as those of the Vienna Circle .
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.
The next thesis both abolishes and preserves the original thesis and the antithesis, an apparent contradiction which leads to difficulties in interpreting this concept (and to translate aufheben). In Hegel's logic self-contradiction is legitimate and necessary. For Hegel, history (like logic) proceeds in every small way through sublation.
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"Paradox" here has the sense of "unintuitive result", rather than "apparent contradiction". For paradoxes concerning logic, see: Category:Paradoxes Subcategories
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