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      In logic and philosophy, a formal fallacy is a pattern of reasoning rendered invalid by a flaw in its logical structure. Propositional logic, for example, is concerned with the meanings of sentences and the relationships between them. It focuses on the role of logical operators, called propositional connectives, in determining whether a sentence is true. An error in the sequence will result in a deductive argument that is invalid. The argument itself could have true premises, but still have a false conclusion. Thus, a formal fallacy is a fallacy in which deduction goes wrong, and is no longer a logical process. This may not affect the truth of the conclusion, since validity and truth are separate in formal logic.
      While a logical argument is a non sequitur if, and only if, it is invalid, the term "non sequitur" typically refers to those types of invalid arguments which do not constitute formal fallacies covered by particular terms (e.g., affirming the consequent). In other words, in practice, "non sequitur" refers to an unnamed formal fallacy.
      A special case is a mathematical fallacy, an intentionally invalid mathematical proof, often with the error subtle and somehow concealed. Mathematical fallacies are typically crafted and exhibited for educational purposes, usually taking the form of spurious proofs of obvious contradictions.
      A formal fallacy is contrasted with an informal fallacy which may have a valid logical form and yet be unsound because one or more premises are false. A formal fallacy, however, may have a true premise, but a false conclusion. The term 'logical fallacy' is sometimes used in everyday conversation, and refers to a formal fallacy.


      Common examples



      "Some of your key evidence is missing, incomplete, or even faked! That proves I'm right!"
      "The vet can't find any reasonable explanation for why my dog died. See! See! That proves that you poisoned him! There’s no other logical explanation!"

      In the strictest sense, a logical fallacy is the incorrect application of a valid logical principle or an application of a nonexistent principle:

      Most Rimnars are Jornars.
      Most Jornars are Dimnars.
      Therefore, most Rimnars are Dimnars.
      This is fallacious.
      Indeed, there is no logical principle that states:

      For some x, P(x).
      For some x, Q(x).
      Therefore, for some x, P(x) and Q(x).
      An easy way to show the above inference as invalid is by using Venn diagrams. In logical parlance, the inference is invalid, since under at least one interpretation of the predicates it is not validity preserving.
      People often have difficulty applying the rules of logic. For example, a person may say the following syllogism is valid, when in fact it is not:

      All birds have beaks.
      That creature has a beak.
      Therefore, that creature is a bird.
      "That creature" may well be a bird, but the conclusion does not follow from the premises. Certain other animals also have beaks, for example: an octopus and a squid both have beaks, some turtles and cetaceans have beaks. Errors of this type occur because people reverse a premise. In this case, "All birds have beaks" is converted to "All beaked animals are birds." The reversed premise is plausible because few people are aware of any instances of beaked creatures besides birds—but this premise is not the one that was given. In this way, the deductive fallacy is formed by points that may individually appear logical, but when placed together are shown to be incorrect.


      Non sequitur in everyday speech



      In everyday speech, a non sequitur is a statement in which the final part is totally unrelated to the first part, for example:

      Life is life and fun is fun, but it's all so quiet when the goldfish die.


      See also




      Notes




      References



      Bibliography


      External links

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    Formal fallacy - Wikipedia

    A formal fallacy is contrasted with an informal fallacy which may have a valid logical form and yet be unsound because one or more premises are false. A formal fallacy, however, may have a true premise, but a false conclusion.

    List of Formal Logical Fallacies with examples

    Sep 29, 2020 · Formal logic checks only argument validity, not soundness, so can not solely be used to determine whether or not an argument is true. There are only Formal Fallacies in this list.

    Informal vs Formal Fallacy – What is the Difference?

    Mar 11, 2021 · A formal fallacy can be expressed neatly in a standard system of logic, such as propositional logic, while an informal fallacyoriginates in an error in reasoning other than an improper logical form. Arguments containing informal …

    What is the Difference Between Formal and Informal Fallacy

    Nov 14, 2021 · The main difference between formal and informal fallacy is that the error in formal fallacies lies in their logical structure, whereas the error in informal fallacies lies in their content. In short, formal fallacy and informal fallacy are two types of reasoning errors that occur in arguments.

    The 8 Types Of Formal Fallacies (and Examples) - Psychology For

    In the case of formal fallacies, there is no room for discussion; in any case, one can examine whether the concepts used are correct (for example, if the same word has two different meanings throughout the logical operation). In this article we will focus on …

    Formal fallacy | logic | Britannica

    ” Formal fallacies are deductively invalid arguments that typically commit an easily recognizable logical error. A classic case is Aristotle’s fallacy of the consequent, relating to reasoning from premises of the form “If p 1 , then p 2 .”

    4.1: Formal vs. Informal Fallacies - Humanities LibreTexts

    Apr 21, 2023 · A formal fallacy is simply an argument whose form is be invalid, regardless of the meaning of the sentences. Two formal fallacies that are similar to, but should never be confused with, modus ponens and modus tollens are denying the antecedent and affirming the consequent .

    Formal Fallacies | Principles of Public Speaking - Lumen Learning

    All formal fallacies are specific types of non sequiturs, or arguments in which the conclusions do not follow from the premises. Formal fallacies are identified by critically examining the structure of the argument exclusive of the individual statements.

    Formal fallacy Definition & Meaning - Merriam-Webster

    The meaning of FORMAL FALLACY is a violation of any rule of formal inference —called also paralogism—contrasted with material fallacy and verbal fallacy.

    Formal Fallacy

    A Formal Fallacy is a type of argument the logical form of which is not validating, that is, there are arguments of that form that are not valid. Formal Fallacy is the most general fallacy for fallacious arguments that are not formally valid, and a given argument will usually commit a more specific formal fallacy―see the Subfallacies, above ...