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Zorluk: KolayNecessary vs. Sufficient Condition Flaws

In logical reasoning, a conditional flaw occurs when an argument confuses a necessary condition with a sufficient condition (illegal reversal) or confuses a sufficient condition with a necessary condition (illegal negation).

Which of the following arguments commit this type of conditional flaw? Select all that apply.

  1. Receiving the community service award requires completing at least 100 volunteer hours. David completed 120 volunteer hours, so he is guaranteed to receive the award.Cevap
  2. If a software program is rigorously tested, it will have very few bugs. The new application was not rigorously tested, so it must have a large number of bugs.Cevap
  3. C
    Some teachers are excellent public speakers, and most excellent public speakers are highly persuasive. Thus, most teachers are highly persuasive.
  4. D
    Cities with more public transportation options also have lower obesity rates. Therefore, using public transportation directly causes people to lose weight.
  5. E
    The proportion of the school's budget allocated to athletics increased from 5% to 8% this year. Consequently, the school is definitely spending a larger absolute amount of money on athletics this year.

Cevap

The argument about the community service award and the argument about the software testing both commit conditional logic flaws.
The argument about the community service award commits an illegal reversal by treating a necessary requirement as a sufficient guarantee. The argument about the software testing commits an illegal negation by treating a sufficient guarantee as a necessary requirement. Both demonstrate confusion between necessary and sufficient conditions.

Adım Adım Çözüm

1
Analyze the conditional logic in the community service award argument.
The premise states that 100 hours are required (necessary). The conclusion assumes that having 120 hours guarantees the award (treats it as sufficient).
To identify if a necessary condition was mistaken for a sufficient one (illegal reversal).
2
Analyze the conditional logic in the software testing argument.
The premise states that testing guarantees few bugs (sufficient). The conclusion assumes that a lack of testing guarantees many bugs (treats testing as necessary).
To identify if a sufficient condition was mistaken for a necessary one (illegal negation).
3
Evaluate the remaining arguments for conditional flaws.
The other arguments commit quantifier, causal, and numerical flaws rather than confusing necessary and sufficient conditions.
To eliminate incorrect options and confirm the final selections.

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Necessary vs. Sufficient Condition Flaws
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Necessary vs. Sufficient Condition Flaws

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