When abbreviating Ezra Cornell’s statement about founding the university it can be used as a complete statement:
"I would found an institution where any person can find instruction in any study."
or in an abbreviated form, which should be punctuated exactly as shown:
"... any person ... any study."
This term refers to a particular recognition bestowed by Cornell on its most generous supporters. It should be capitalized.
This term is the proper name of a particular distinguished position at Cornell and should be capitalized. (If it were just a common noun, “Councillor” would be spelled as American-English “councilor,” single “l”.)