Denying the correlative is a mistake in logic where a person tries to create a third possibility where there are only two. It is based on the concept of correlative conjunctions, pairs of statements where one statement must be true and the other must be false. For example 1. Ginger is a cat. 2. Ginger is not a cat. If a person claims that Ginger is something else than a cat or not a cat, then he is making a logically impossible claim, and denying the correlative. It is the opposite of the false dilemma, which tries to reduce options to only two.[1] Another is if a person were asked if he killed someone and said, "I fought with him". That does not answer the question.
References
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| Informal | | Equivocation | |
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| Question-begging | |
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| Correlative-based | |
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| Illicit transference | |
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| Secundum quid |
- Accident
- Converse accident
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| Faulty generalization |
- Sampling bias
- Argument from analogy
- Anecdotal evidence
- Base rate / Conjunction
- Double counting
- Slothful induction
- Overwhelming exception
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| Ambiguity | |
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| Questionable cause | |
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| Appeals |
- Law/Legality
- Stone / Proof by assertion
| Consequences | |
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| Emotion |
- Children
- Fear
- Flattery
- Novelty
- Pity
- Ridicule
- In-group favoritism
- Invented here / Not invented here
- Island mentality
- Loyalty
- Parade of horribles
- Spite
- Stirring symbols
- Wisdom of repugnance
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| Genetic fallacy | |
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Other fallacies of relevance | |
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| Formal | | In propositional logic |
Affirming a disjunct
Affirming the consequent
Denying the antecedent
Argument from fallacy
Masked man
Mathematical fallacy
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| In quantificational logic |
- Existential
- Illicit conversion
- Proof by example
- Quantifier shift
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| Syllogistic fallacy |
- Affirmative conclusion from a negative premise
- Negative conclusion from affirmative premises
- Exclusive premises
- Existential
- Necessity
- Four terms
- Illicit major
- Illicit minor
- Undistributed middle
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