This study aims at highlighting the relationship between a person's value system (or core values) and his(her) tendency to tolerate others who are “different" in race, nationality and/or religion. To achieve its goal, the study uses a Computational Approach to analyze and model data from eastern and western values surveys, extract core values from this data using Factor Analysis, calculate a Tolerance Index, and finally predict a person's tolerance level from his (her) set of core values using Machine Learning (Artificial Neural Networks). The main distinctiveness of this research lies in applying machine learning to detect the main cultural values that could be considered as the main determinants of a person's tolerance towards socially and religiously different others. The results show that the most important core values in determining social and religious tolerance are Humanism, Conservatism, and Wisdom, resp. These results could be validated since they well match the theoretical background in the field of Toleration.