Consider the following statements and choose the right option A. Middle term should be distributed in atleast one premise B. Middle term should be present in the conclusion C. Both premises can be particular in a valid argument D. Both premises can be negative in a valid argument

Consider the following statements and choose the right option A. Middle term should be distributed in atleast one premise B. Middle term should be present in the conclusion C. Both premises can be particular in a valid argument D. Both premises can be negative in a valid argument Correct Answer Only A

The Middle term should be distributed in at least one premise’ is the only correct statement among the given four statements.

A categorical syllogism has exactly three categorical propositions, two of which are premises and the third is the conclusion. There are exactly three terms, each appearing only twice.

Four rules apply to all valid categorical syllogisms:

Rule 1: The middle term must be distributed in at least one premise.

Rule 2: any term that is distributed in the conclusion must be distributed in the premises.

Rule 3: The number of negative premises must be equal to the number of negative conclusions.

Rule 4: No particular conclusion can be drawn from exclusively universal premises.
Important Points

The argument that pass each of these tests are valid. Those that fail to satisfy even one of the rules are invalid. 

Hence, as per the rules of categorical syllogism, we can conclude that the statement which is true is The middle term must be distributed at least in one of the premises. so the correct option is option 3).

Related Questions

Consider the Assertion (A) and Reason (R) and select the correct answer:
Assertion (A) If one premise is particular, the conclusion must be particular.
Reason (R) (i) An affirmative particular has no distributed terms, and a negative particular has an only one.
(ii) The premises cannot both be particular and thus must differ in quantity.
Consider the Assertion (A) and Reason (R) and select the correct answer:
Assertion (A) The number of distributed terms in the conclusion must be atleast one less than the total number of distributed terms in the premises.
Reason (R) The middle term does not appear in the conclusion.