Moral certainty is a concept of intuitive probability.
It means a very high degree of probability, sufficient for action, but short of absolute or mathematical certainty.
[1] The Latin phrase moralis certitudo was first used by the French philosopher Jean Gerson about 1400,[2] to provide a basis for moral action that could (if necessary) be less exact than Aristotelian practical knowledge, thus avoiding the dangers of philosophical scepticism and opening the way for a benevolent casuistry.
[4] Legal debate about instructions to seek a moral certainty has turned on the changing definitions of the phrase over time.
Whereas it can be understood as an equivalent to "beyond reasonable doubt", in another sense, moral certainty refers to a firm conviction which does not correlate but rather opposes evidentiary certainty:[5] i.e. one may have a firm subjective gut feeling of guilt – a feeling of moral certainty – without the evidence necessarily justifying a guilty conviction.