A very high degree or probability, although not demonstrable as a certainty; a probability of so high a degree that it can be confidently acted upon in the affairs of life.(adjective)
Gnu Collaboartive International Dictionary of English: licensed under The Code Project Open License (CPOL)
Use "moral certainty" in a sentence
"Since, however, Rigorism is universally condemned, the argument must be rejected, and the principles of Probabilism must be adopted which hold that it is sufficient to observe harmony with objective morality in so far as this is known with moral certainty (cf. Lehmkuhl,"
"The critics cannot reject these suggestions as mere subterfuges; for they should have to grant a continuous miracle in the preservation of the Pentateuchal text, if they were to deny the moral certainty of the presence of such textual changes."