2 example sentences using odium.
Odium used in a sentence
Odium in a sentence as a noun
I'm sure that "odium" isn't too far wrong, but I believe the word you intended was "onus".One should probably not conflate mathematical proofs and empirical evidence in this context.
The proof of this is the clumsy perspicuity which is now everywhere demanded in all positions where a person would like to be sincere with his fellows, in intercourse with friends, women, relatives, children, teachers, pupils, leaders and princes-one has no longer either time or energy for ceremonies, for roundabout courtesies, for any esprit in conversation, or for any odium whatever.
Odium definitions
state of disgrace resulting from detestable behavior
hate coupled with disgust
See also: abhorrence abomination detestation execration loathing