Most serious students are happy students, and most serious students go to graduate school. Furthermore, all students ...

Kyra September 24, 2018

Transitive Question

This is how I diagrammed this: P1: SS-most-HS HS-some-SS P2: SS-most-GS GS-some-SS P3: GS (arrow) O not O (arrow) not GS Here is my question: Since the left side is SS, could we also say HS-some-GS??

Replies

Create a free account to read and take part in forum discussions.

Already have an account? log in

Mehran September 24, 2018

@Kyra absolutely!

This is our one exception to the rule that we need an S & N statement to make a deduction with quantifiers.

Two most statements with the left side in common.

"Most serious students are happy students, . . . "

SS-most-HS

" . . . most serious students go to graduate school."

SS-most-GS

Allowing us to conclude that some happy students go to graduate school:

HS-some-GS
GS-some-HS

Nice work!

Kyra September 25, 2018

Thanks Mehran!