premise-n; 3 Senses

Sense Number 1: a statement that is a logical presupposition

Commentary: PREMISE[+entity][+symbolic][+statement][+presupposition]

I find the premise of your argument rather weak.
The fundamental premise of this report is that increased spending on education will lead to better academic performance.
The first two statements of a syllogism are its premises, the third statement is the conclusion.

WordNet 3.0 Sense Numbers: 1

Sense Number 2: preliminary, explanatory portion of a legal document, e.g., deed

Commentary: PREMISE[+entity][+artifact][+document][+legal][+portion][+preliminary]

The parties of the contract are identified in the premises of the agreement.
John read the premises of the deed carefully.

WordNet 0.0 Sense Numbers: 2

Sense Number 3: building or buildings with surrounding grounds

Commentary: PREMISE[+location][+tract][+property][+building]
NOTE: always occurs in the plural.

He was escorted off the premises for unruly conduct.
The night watchman inspected the premises after hearing a strange noise.
It is against the law to supply alcoholic beverages for consumption on these premises.

WordNet 0.0 Sense Numbers: 3