Identify the appropriate conclusion based on the premises

Premise 1: No philosophers are mathematicians.

Premise 2: All logicians are philosophers.

Conclusion:

Question

Identify the appropriate conclusion based on the premises Premise 1: If a plant gets sunlight, it grows. Premise 2: This plant did not grow. Conclusion:

Option 1: The plant got sunlight.

Option 2: The plant did not get sunlight.

Option 3: All plants grow.

Option 4: Sunlight is harmful.

AfterBoards · Accepted Answer

**Option 2: The plant did not get sunlight** ✅ Premise 1 says: *Sunlight → Growth*. Premise 2 says: *No growth*. Working backwards: if growth didn't happen, then sunlight must not have happened either. Think of it this way — if rain always makes the ground wet, and the ground is dry, then it must not have rained! Similarly, since the plant didn't grow, it must not have received sunlight. This is called **backward reasoning** (or "contrapositive" in logic). Let's confirm by checking the other options: - **Option 1:** The plant got sunlight — impossible, because Premise 1 says sunlight leads to growth, and this plant did *not* grow. - **Option 3:** All plants grow — too general and not supported by the premises. - **Option 4:** Sunlight is harmful — the opposite of what Premise 1 says; sunlight *helps* plants grow. Hence, **Option 2** is correct.

Identify the appropriate conclusion based on the premises $$\newline$$ Premise 1: If a plant gets sunlight, it grows. $\newline$ Premise 2: This plant did not grow. $\newline$ Conclusion:

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