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?

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07-06-2017
Mathematics

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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?

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eco92 eco92 · Answer 1 · 2017-06-13T16:06:59+02:00

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.