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Hilbert's paradox of the Grand Hotel: If a hotel with infinitely many rooms is full, it can still take in more guests. Skolem's paradox : Countably infinite models of set theory contain sets that are uncountable in the sense of the model.
The paradox has been described as follows: [5] A judge tells a condemned prisoner that he will be hanged at noon on one weekday in the following week but that the execution will be a surprise to the prisoner. He will not know the day of the hanging until the executioner knocks on his cell door at noon that day.
The paradoxical nature can be stated in many ways, which may be useful for understanding analysis proposed by philosophers: In line with Newcomb's paradox, an omniscient pay-off mechanism makes a person's decision known to him before he makes the decision, but it is also assumed that the person may change his decision afterwards, of free will.
Also known as the ship of Theseus, this is a classical paradox on the first branch of metaphysics, ontology (philosophy of existence and identity). The paradox runs thus: There used to be the great ship of Theseus which was made out of, say, 100 parts. Each part has a single corresponding replacement part in the ship's port.
A falsidical paradox establishes a result that appears false and actually is false, due to a fallacy in the demonstration. Therefore, falsidical paradoxes can be classified as fallacious arguments: The various invalid mathematical proofs (e.g., that 1 = 2) are classic examples of this, often relying on a hidden division by zero.
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. [8] [9 ...
Wikipedia also contains paradoxes. In Wikipedia, there are a number of paradoxes. This is intended to be a high-level overview of the major conceptual paradoxes within our project. Paradox 1: Immutable change Authoritative writing strives for perpetual immutability, or "perfection." Wikis facilitate dynamic change that negates immutability and ...
The paradoxes of spatial relations (theses 3, 6, and 9) – Thesis 3 applies the relativism of thesis 5 to spatial relations: if "the ten thousand things are all similar and are all different", then there is a certain scale or perspective from which the apparently great distance between heaven and earth is reduced to nothing.