I’m going to assume that for the most part, we are all fairly logical people. I mean, that’s sort of the reason we’reÂ hanging out on this site. Sure we have a lot of fun — we get raunchy, drunk,Â and naked sometimes —Â and there’s pie every Wednesday afternoon, but developing and maintaining strong reasoning skills is really whatÂ it’s all about.
However, we doÂ have the capacity to turn it off if we want. We don’t have to beÂ logical all the time.
Now,Â I’m not suggesting we have to be one way or the other, but even among skeptics, there are those who think logically on a more consistent basis than others.Â AndÂ there are thoseÂ of usÂ who let flights of fancyÂ interplay withÂ our logical sides all the time.
But what about you?Â Â
Are you the hardcore logician? Are you Spock? Or do you surrender to flights of fancy in any good measure? What form do those flights take? Would you rather solve a logic problem or write a poem? Would you rather investigate a claim or tell some jokes? Would you rather do math problems or read a fantasy book?
And yourÂ AI ExtraÂ for today is the following puzzle:
I randomly choseÂ 2 numbers between 1 and 40, inclusive. The numbersÂ aren’t necessarilyÂ distinct, and their order doesn’t matter.
I gave the sum of these two numbers toÂ Elyse, and the product of these two numbers to Carrie.
CarrieÂ turns toÂ Elyse and says: “I don’t know if the two numbers are the same”
ElyseÂ replies: “I KNOW they aren’t the same”
CarrieÂ : “Do you know what the numbers are?”
Carrie: “In that case, I now know what the numbers are”
Elyse: “Now I do too.”
What are the two numbers?
(There is no word play here. There is a real answer you can reach. Also there is only 1 answer. no one is lying, andÂ we’re referring to whole numbers between 1 and 40, as in 1, 2, 3….40).
The Afternoon Inquisition (or AI) is a question posed to you, the Skepchick community. Look for it to appear Tuesdays, Thursdays, Saturdays, and Sundays at 3pm ET.