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  • False Conversion
  • False Dilemma
  • False Effect
  • Far-Fetched Hypothesis
  • Faulty Comparison
  • Gambler’s Fallacy
  • Genetic Fallacy
  • Hasty Generalization
  • Having Your Cake
  • Hedging
  • Historian’s Fallacy
  • Homunculus Fallacy
  • Hypnotic Bait and Switch
  • Hypothesis Contrary to Fact
  • The Fallacies: If–Mu
  • If-By-Whiskey
  • Illicit Contraposition
  • Illicit Major
  • Illicit Minor
  • Illicit Substitution of Identicals
  • Inconsistency
  • Inflation of Conflict
  • Jumping to Conclusions
  • Just Because Fallacy*
  • Just In Case Fallacy
  • Least Plausible Hypothesis
  • Limited Depth
  • Limited Scope
  • Logic Chopping
  • Ludic Fallacy
  • Lying with Statistics
  • Magical Thinking
  • Meaningless Question
  • Misleading Vividness
  • Missing Data Fallacy*
  • Modal (Scope) Fallacy
  • Moralistic Fallacy
  • Moving the Goalposts
  • Multiple Comparisons Fallacy
  • The Fallacies: Na–Ri
  • Naturalistic Fallacy
  • Negating Antecedent and Consequent
  • Negative Conclusion from Affirmative Premises
  • Nirvana Fallacy
  • No True Scotsman
  • Non Sequitur
  • Notable Effort
  • Overwhelming Exception
  • Package-Deal Fallacy
  • Poisoning the Well
  • Political Correctness Fallacy
  • Post-Designation
  • Prejudicial Language
  • Proof by Intimidation
  • Proving Non-Existence
  • Quantifier-Shift Fallacy
  • Quantum Physics Fallacy*
  • Questionable Cause
  • Rationalization
  • Red Herring
  • Reductio ad Absurdum
  • Reductio ad Hitlerum
  • Regression Fallacy
  • Reification
  • Relative Privation
  • Retrogressive Causation
  • Rights To Ought Fallacy*
  • The Fallacies: Sc–Wi
  • Scapegoating
  • Selective Attention
  • Self-Sealing Argument
  • Shoehorning
  • Slippery Slope
  • Special Pleading
  • Spiritual Fallacy*
  • Spotlight Fallacy
  • Statement of Conversion
  • Stereotyping
  • Stolen Concept Fallacy
  • Strawman Fallacy
  • Style Over Substance
  • Subjectivist Fallacy
  • Subverted Support
  • Sunk-Cost Fallacy
  • Suppressed Correlative
  • Texas Sharpshooter Fallacy
  • Tokenism
  • Two Wrongs Make a Right
  • Unfalsifiability
  • Unwarranted Contrast
  • Use-Mention Error
  • Weak Analogy
  • Willed Ignorance
  • Wishful Thinking
  • Fallacy of (the) Undistributed Middle

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    (also known as: undistributed middle term)

    Description: A formal fallacy in a categorical syllogism where the middle term, or the term that does not appear in the conclusion, is not distributed to the other two terms.

    Logical Form:

    All A's are C's.

    All B's are C's.

    Therefore, all A’s are B’s.

    Example #1:

    All lions are animals.

    All cats are animals.

    Therefore, all lions are cats.

    Explanation: We are tricked because the conclusion makes sense, so out of laziness we accept the argument, but the argument is invalid, and by plugging in new terms, like in the next example, we can see why.

    Example #2:

    All ghosts are imaginary.

    All unicorns are imaginary.

    Therefore, all ghosts are unicorns.

    Explanation: While there may be ghosts that are unicorns, it does not follow from the premises: the only thing the premises tell us about ghosts and unicorns is that they are both imaginary -- we have no information how they are related to each other.

    Exception: None.





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