invalidity

Weakness; infirmity.

Lack of validity; want of cogency, force, or efficacy; specifically, lack of legal force: as, the invalidity of an argument or of a will.

Lack of validity or cogency; lack of legal force or efficacy; invalidness.

Lack of health; infirmity.

The state of being invalid; lack of validity.

illogicality as a consequence of having a conclusion that does not follow from the premisses