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Zorluk: KolayNecessary vs. Sufficient Condition Flaws

According to the neighborhood association's rules, any resident who wishes to use the community pool must pay an annual fee of 100.Therefore,sincetheSmithfamilyrecentlypaidthe100. Therefore, since the Smith family recently paid the 100 fee, they will definitely be allowed to use the community pool this summer.

Which of the following best describes the flaw in the reasoning above?

  1. treats a condition that is required for a certain outcome as though it were enough to guarantee that outcomeCevap
  2. B
    assumes that because a condition is sufficient to bring about a result, the absence of that condition guarantees the absence of the result
  3. C
    relies on information that goes beyond the provided facts of the community rules
  4. D
    confuses a condition that merely accompanies an action with the actual cause of that action
  5. E
    fails to distinguish between the literal and the intended meaning of a key phrase

Cevap

The argument flawed because it treats a condition that is required for a certain outcome as though it were enough to guarantee that outcome.
The argument explicitly states that paying the fee is something a resident 'must' do (a necessary condition) to use the pool. It then concludes that because the Smiths met this one requirement, they are guaranteed access. This is logically flawed because meeting a necessary condition does not mean all sufficient criteria have been met; there might be other rules the Smiths must follow to use the pool.

Adım Adım Çözüm

1
Analyze the conditional premise.
The premise states: If you wish to use the pool, you must pay the fee. (Use Pool -> Pay Fee). Paying the fee is a necessary condition.
Identifying the established relationship between the conditions is required to evaluate the logic.
2
Analyze the conclusion.
The conclusion states: The Smiths paid the fee, so they will use the pool. (Pay Fee -> Use Pool).
Understanding the author's final claim allows us to compare it against the provided evidence.
3
Compare the premise and conclusion to identify the logical gap.
The author takes the necessary condition (paying the fee) and wrongly treats it as a sufficient condition (guaranteeing pool use).
This comparison reveals the classic 'illegal reversal' flaw in conditional reasoning.

Anahtar Kavram

Necessary vs. Sufficient Condition Flaws (Illegal Reversal)
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