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In the first example argument map, the objector can't find anything contentious in the stated premises of the argument, but still disagrees with the conclusion; the objection is therefore placed beside the main premise and, in this case, exactly corresponds to an unstated or 'hidden' co-premise. This is demonstrated by the second example ...
A self-refuting idea or self-defeating idea is an idea or statement whose falsehood is a logical consequence of the act or situation of holding them to be true. Many ideas are called self-refuting by their detractors, and such accusations are therefore almost always controversial, with defenders stating that the idea is being misunderstood or that the argument is invalid.
This does nothing to prove the first premise, but can make its claims more difficult to refute. This underlies the basic epistemological problem of establishing causal relationships. Large language models often fail to appropriately answer questions based on false premises, but can be trained to respond correctly. [1]
For example, oxygen is necessary for fire. But one cannot assume that everywhere there is oxygen, there is fire. A condition X is sufficient for Y if X, by itself, is enough to bring about Y. For example, riding the bus is a sufficient mode of transportation to get to work.
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 ...
This reasoning is a fallacy of relevance: it fails to address the proposition in question by misrepresenting the opposing position. For example: Quoting an opponent's words out of context—i.e., choosing quotations that misrepresent the opponent's intentions (see fallacy of quoting out of context). [3]
Synonyms of counterargument may include rebuttal, reply, counterstatement, counterreason, comeback and response. An attempt to rebut an argument may involve generating a counterargument, or finding a counterexample .
Paraprosdokian – a sentence in which the latter half takes an unexpected turn. Parataxis – using juxtaposition of short, simple sentences to connect ideas, as opposed to explicit conjunction. Parenthesis – an explanatory or qualifying word, clause, or sentence inserted into a passage that is not essential to the literal meaning.