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How is "fallacious" typically used in a sentence?
What are some synonyms for "fallacious"?
What's the difference between "fallacious" and "false"?
Almost all fallacies occur within the context of an argument, however, can a statement itself be fallacious?
For example, isn't the statement, "Anyone that believes in conspiracy theories is an idiot" fallacious because it contains implicit erroneous reasoning?
So if that “statement” contains reasoning, then we may as well say that statements can be arguments. If so, then the puzzle you raise goes away.
Arguments don’t need to be more than one sentence, and informal arguments in everyday language often come with lots of implied / unstated premises. As a result, lots of very small bits of every day language are arguments, albeit ones that seem incomplete. This means that (1) we could take these little “statements” as arguments but (2) assuming they’re fallacious ends up being fraught because we have to either (a) fill in the missing parts ourselves or (b) just treat all informal arguments as fallacious because they’re incomplete.
For my money, doing (b) rather takes the steam out of doing (1), and makes the enterprise pretty pointless.
"Fallacy" is an open concept. Sometimes the term "fallacy" indicates any false belief or cause of a false belief that is particularly common. Other times it indicates misguided explanations, definitions, or products of reasoning of other sorts. This conception of "fallacy" refers to them as popular but unfounded beliefs. However, within boundaries of formal logic the term "fallacy" refers specifically to the kind of arguments where the conclusion does not follow from its premises, and most fallacies established in fallacy theory deal specifically with formal and informal arguments that on first sight appear valid but turn out to invalid upon closer investigation.