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Shirnel April 2, 2020

Combing a most quantifier with an S&N

I've come across most quatifier and S&N like this and uncertain how to combine them. Here is an example: A most B B==>C Do I combine this as A most B ==> C to infer A most C or A some C Sorry I couldn't remember doing this in the drills.

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shunhe April 2, 2020

Hi @Shirnel,

Thanks for the question! Yes, if we know for a matter of fact that A most B, and that B necessarily implies C, then we also know that A most C. Let me try to illustrate this with an example. Most donuts are sweet. If something is sweet, then it must have sugar. Well, then we know that most donuts have sugar. And if we diagram this out:

D = donut
S = sweet
Su = sugar

D most S
S —> Su

And from this, we conclude D most Su.

Hope this helps! Feel free to ask any other questions that you might have.

Shirnel April 5, 2020

It does, thank you.

shunhe April 13, 2020

Glad I could help.