1) Implausibility 2) Implausibleness 3) Incredibility 1) Incredibility 2) Quality 
• (n.) Incredibility.
In·cred'i·ble·ness noun Incredibility. 
incredible, incredibleness 1. Not credible; that which cannot be believed; beyond belief. 2. Informally used to mean: unexpectedly or astonishingly large or great; surprising; extraordinarily good, talented, or enjoyable.