Abstract: Whether the propositional formula“2+2=4”is a judgement based on experience and intuition or the result of rigorous process of mathematics? Barnes and Bloor insist on the examination of the above formula ascribe to the vision of sociology, unfortunately it’s unmatched with the nature of mathematical knowledge. Mathematics has the features of deep difference under the multiple fields of vision such as idealization and virtuality as well as the association with the reality and experience world. The genealogy among the rigorous, deductive, empirical, applicative aspects was correlated with diversity internalization and hierarchy identity of mathematical knowledge.

摘要： 命题公式“2+2=4 ”究竟是基于经验和直觉的判断？还是数学严格化的推论？巴恩斯和布鲁尔坚持对上述公式进行囿于科学知识社会学视域的归因，虽有其合理性但却显偏颇。命题公式“ ”具有经验性、真理性、理想化等多个维度下的广深差异性，在数学的严格性、演绎性与其经验性、应用性之间形成的谱系，关联着数学知识的多样内在化和层级同一性。