A historical analysis of mathematics reveals a potential trajectory for public acceptance of AI in critical roles. Examining past resistance to mathematical innovations initially perceived as untrustworthy, the analysis suggests that familiarity and demonstrated reliability can gradually shift public opinion. Just as complex mathematical concepts eventually became accepted and integrated into various fields, advancements in AI, coupled with successful applications and transparent validation, may lead to widespread trust in its ability to handle important tasks. This historical perspective offers insights into how societal perceptions of AI trustworthiness might evolve over time.