I'm having difficulty distinguishing "either or" as inclusive vs. exclusive.
I'm working on the Advanced Logical Indictor section from the CC and immediately ran into confusion with the question 1 from the Complex Conditional Translation section.
For instance using Q1 from that section:
If a cat weights over 10kg, then it is either a Maine Coon or suffering from obesity.
I was confident at first that the sentence could be translated to:
10kg+ → (/MC→SO) = 10kg+ and /MC →SO
But as JY and other users comments detailed, this interpretation is incorrect because I'm incorrectly presuming the "either or" is an embedded bi-conditional.
So to clarify, if the sentence does not explicitly state "but not both" and if there's no context that can be used to determine if the "either or" is inclusive or exclusive, should I default and interpret the "either or" to mean inclusive?
In this instance, since Q1 does not explicitly state "not both" and there's no additional context, is it reasonable to interpret the "either or" as inclusive?
Making the logical translation as such:
OG: 10kg+ → MC or SFO
If a cat is over 10kg, then it's either a Maine Coon or suffering from obesity.
Contrapositive: /MC and /SFO → /10kg+
If a cat is not a Maine Coon and not suffering from obesity, then it's not over 10kg.
I'm just trying to really hammer home and flesh out the difference between inclusivity vs. exclusive.
Any Reply or input would be greatly appreciated! Thanks!!
#help
Extremely helpful and down to earth, real insight! Thanks @ !!