Nothing. As a trained scientist, I use deductive reasoning all the time. It's the misuse that is troublesome:
"Major Premise: Sixty men can do a piece of work sixty times as quickly as one man.
Minor Premise: One man can dig a posthole in sixty seconds; therefore--
Conclusion: Sixty men can dig a posthole in one second. This may be called the syllogism arithmetical, in which, by combining logic and mathematics, we obtain a double certainty and are twice blessed."
(Ambrose Bierce, The Devil's Dictionary)
Can you answer the question without recourse to syllogisms?
Yes.
We agree that syllogisms themselves are okay. It’s their misuse that is the problem.
Bierce’s fencepost is hardly syllogism though ...
So nine women could have a baby in one month.
Something like that.