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Question

What is a "logical fallacy," and how does it differ from simply being wrong about a fact?

Answer

A pattern of reasoning that feels persuasive but is logically broken — the premises don't actually support the conclusion, even when they happen to be true.

A fallacy breaks the premise-to-conclusion link while premises stay true; a factual error is a false premise on a valid link

* A fallacy breaks the premise-to-conclusion link (the premises can even be true); a factual error is a false premise on a valid link. *

An argument is one or more premises offered to support a conclusion. A fallacy is an error in the reasoning that links them — the premises are presented as supporting the conclusion, but they don't provide the needed support. That is different from a factual error, which is just being wrong about the world ("Columbus is the capital of the USA"). A fallacy can have entirely true premises and still be a fallacy, because the connection is what fails.

  • Factual error: the facts are wrong.
  • Fallacy: the facts may be fine, but they don't justify the conclusion drawn from them.

Crucially, a fallacious argument can still reach a true conclusion — by luck, not by logic. So spotting a fallacy tells you the argument gives you no good reason to accept the conclusion; it does not tell you the conclusion is false.

Tip: Two-part test — "Are the premises actually relevant to the conclusion, and do they actually establish it?" If either answer is no, you may be looking at a fallacy.

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Question

What is the difference between a formal and an informal fallacy?

Answer

A formal fallacy is broken by its logical structure alone; an informal fallacy is broken by its content — irrelevant or unwarranted premises dressed up as support.

The distinction is about where the error lives:

Formal fallacy Informal fallacy
Where the flaw is The argument's form/structure The argument's content/context
Detectable by Logic alone, ignoring meaning Reading what's actually said
Example "If P then Q; Q; therefore P" (affirming the consequent) Ad hominem, straw man, slippery slope

A formal fallacy is invalid no matter what you plug in — e.g. "If Portland is the capital of Maine, it's in Maine; Portland is in Maine; therefore Portland is the capital" — the shape is wrong (Portland is in Maine but Augusta is the capital). An informal fallacy looks fine structurally; the defect is that a premise is irrelevant, biased, or smuggles in the conclusion. Most of the famous named fallacies (ad hominem, red herring, appeal to emotion) are informal.

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