Question

Some pens are pencils. Some pencils are blue. Therefore, some pens are blue.

09 Jul 2026
Answer :
Word Count : 545
The given argument is: Premise 1: Some pens are pencils. Premise 2: Some pencils are blue. Conclusion: Therefore, some pens are blue. To determine whether this argument is logically valid, it is necessary to examine the structure of the premises rather than their factual content. In logic, an argument is valid only if the conclusion necessarily follows from the premises. If it is possible for all the premises to be true while the conclusion is false, the argument is invalid. The first premise, "Some pens are pencils," means that there exists at least one object that is both a pen and a pencil. Symbolically, it may be expressed as: Some P are Q, where P stands for pens and Q for pencils. This statement does not tell us which pencils are also pens; it merely states that there is at least one common member of the two classes. The second premise, "Some pencils are blue," means that there
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