-ibility
(Latin: a suffix that means "able to [be]"; a variation of -ability)
divisibility
eligibility
1. Capability of being elected.
2. Meeting the necessary qualifications for being chosen.
fallibility
feasibility
impossibility
1. Something that cannot exist or cannot be done: "Living without water is a physical impossibility."
2. The likelihood that something will not happen or cannot be achieved; something impossible.
inaccessibility
1. A reference to not being able to be accessed; that is, out of reach; inconvenient.
2. Characterized by an inability to be reached; unattainable.
3. Being remote or unapproachable.
incompatibility
1. Not compatible; unable to exist together in harmony: "She asked for a divorce because of their incompatibility."
2. Contrary or opposed in character; discordant; such as, the incompatibility of colors.
3. That which cannot coexist or be conjoined.
4. A reference to biological substances that interfere with one another physiologically, as different types of blood in a transfusion.
5. In pharmacology, of or pertaining to drugs that interfere with one another chemically or physiologically and therefore cannot be mixed or prescribed together.
A little incompatibility is the spice of life, particularly if he has income and she is pattable.
—Ogden Nash
incorruptibility
incredibility
The quality or fact of being incredibile; a thing that cannot be believed; an incredible notion or circumstance.
ineligibility
The quality, or state, of not being legally entitled or qualified to do, to be, or to get something.
infallibility
insensibility
Lacking physical sensation or feeling; a lack of moral sensibility or emotion.
intangibility
invincibility
A condition in which it is difficult or impossible to be defeated or subdued.
invisibility