Question

If it is springtime, you will plant flowers in the garden. If you plant flowers in the garden, your yard will smell good. What conclusion can you make from the statements above?

Answer 1

1. Consider the following propositions:

p: it is springtime
q:you will plant flowers in the garden
r:your yard will smell good

2. (p⇒q)∧(q⇒r) ≡ p⇒r

which means the two propositions above are logically equivalent, so our conclusion is : If it is springtime, the yard will smell good.

3. Compare the problem to this famous example: Socrates is human, humans are mortal, so Socrates is mortal.