# RE5 | x-ai/grok-4.3 | run 1

## Prompt

All roses are flowers. Some flowers fade quickly. Does it logically follow that some roses fade quickly? Explain.

## Response

No, it does not logically follow that some roses fade quickly. The two premises establish only that roses belong to the category of flowers and that an unspecified portion of flowers fade quickly, without linking any fading flowers specifically to roses.

This represents an invalid syllogism known as the undistributed middle. The term "flowers" appears in both premises but is not fully distributed in a way that forces overlap with roses in the conclusion.

## Logical Breakdown
- All roses are flowers: Universal affirmative premise.
- Some flowers fade quickly: Particular affirmative premise.
- The conclusion "some roses fade quickly" requires additional information about distribution that is absent here.

Counterexamples confirm the invalidity, such as a scenario where only non-rose flowers fade quickly while all roses last longer.

What other syllogisms or logical forms interest you?
