Given the Following Sorites: No S Are A

question 212

Multiple Choice

Given the following sorites: No S are A.
All N are A.
All T are N.
Some R are T.
Some R are not S.
This sorites is:

• A) Invalid because only one premise is negative.
• B) Invalid because one of the middle terms is undistributed.
• C) Invalid because a term is distributed in the conclusion but not in the premise.
• D) Valid because no rules are broken.
• E) Valid because a negative premise requires a negative conclusion.

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Definitions:

Null Hypothesis

A default statement that there is no difference or effect, used as a starting point for statistical hypothesis testing.

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Statistic

A numerical value calculated from a sample of data, used to estimate characteristics of the population from which it is drawn.

Critical Value

A threshold value in statistical testing which the test statistic must exceed to reject the null hypothesis.