proposition-n; 4 Senses

Sense Number 1: a statement that is either true or false

Commentary: PROPOSITION[+form][+written][+assertion][+logical] [+action][+statement][+assertion][+true/+false]

The students wrote the truth table for a pair of conjoined logical propositions.
A syllogism is composed of three propositions: two premises and a conclusion.
His closing argument contained non sequiturs and provably false propositions.

WordNet 3.0 Sense Numbers: 1

Sense Number 2: a suggestion, conjecture or opinion

Commentary: PROPOSITION[+action][+statement][+suggestion][+opinion/+conjecture/+proposal] [+form][+written][+suggestion][+legislative/+administrative]
NOTE: does not imply a deal or exchange (as does Sense 3)

One proposition at town hall was to let dogs be off-leash certain hours of the day.
The proposition didn't get enough signatures to be on the ballot.
The proposition that all men are created equal is a central notion in the Declaration of Independence. (an assertion of ethical 'ought' not empirical 'is')

WordNet 3.0 Sense Numbers: 2, 4

Sense Number 3: an offer or deal, often sexual in nature

Commentary: PROPOSITION[+action][+offer][+deal]
NOTE: implies an offerer and a potential acceptor of the deal

He made the woman an indecent proposition.
They made us a proposition we couldn't refuse.
Bob's daughter accepted the proposition that if she maintained an A average throughout the school year, he would buy her a car.

WordNet 3.0 Sense Numbers: 3

Sense Number 4: an undertaking or situation

Commentary: PROPOSITION[+state][+situation][+undertaking][+actual/+hypothetical]

Breaking into show business can be a difficult proposition.
As a manager, the employees feel that Sandy is a better proposition than Bob. (the state of Sandy being the manager)
It would be a dicey proposition to go forward with the IPO at this particular time.

WordNet 3.0 Sense Numbers: 5