Exclusive premises

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The fallacy of exclusive premises is a premise that comes to an affirmative conclusion when both of its premises are exclusionary (Negative).


Logical Form A

  • P1: No X are Y
  • P2: Some Y are NOT Z
  • C: Some Z are NOT X

Logical Form B

  • P1: No X are Y
  • P2: No Y are Z
  • C: No Z are X

Example 1

  • P1: No Salmon are Canadian
  • P2: Some Canadians are NOT Muslim
  • C: Some Muslims are NOT Salmon

Example 2

  • P1: No Animals are Toasters
  • P2: No Toasters are Cats
  • C: No Cats are Animals

Just because the conclusion may be true, ie. in the real world, this does not mean the argument is valid.

You may just have been lucky.

v · d Logical fallacies
v · d Formal fallacies
Propositional logic   Affirming a disjunct · Affirming the consequent · Argument from fallacy · False dilemma · Denying the antecedent
Quantificational logic   Existential fallacy · Illicit conversion · Proof by example · Quantifier shift
Syllogistic   Affirmative conclusion from a negative premise · Exclusive premises · Necessity · Four-term fallacy · Illicit major · Illicit minor · Undistributed middle
v · d Faulty generalisations
General   Begging the question · Gambler's fallacy · Slippery slope · Equivocation · argumentum verbosium
Distribution fallacies   Fallacy of composition · Fallacy of division
Data mining   Cherry picking · Accident fallacy · Spotlight fallacy · Hasty generalization · Special pleading
Causation fallacies   Post hoc ergo propter hoc · Retrospective determinism · Suppressed correlative · Wrong direction
Ontological fallacies   Fallacy of reification · Pathetic fallacy · Loki's Wager
v · d False relevance
Appeals   Appeal to authority · Appeal to consequences · Appeal to emotion · Appeal to motive · Appeal to novelty · Appeal to tradition · Appeal to pity · Appeal to popularity · Appeal to poverty · Appeal to spite · Appeal to wealth · Sentimental fallacy · Argumentum ad baculum
Ad hominem   Ad hominem abusive · Reductio ad Hitlerum · Judgmental language · Straw man · Tu quoque · Poisoning the well
Genetic Fallacies   Genetic fallacy · Association fallacy · Appeal to tradition · Texas sharpshooter fallacy
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