论实证主义界域的数学心理观

On the Psychological Notion of Mathematics in the Horizon of Positivism

作为“主义”的实证论应该被人们所唾弃 ,但是 ,作为方法的实证研究依然具有时代的生命力。为了实现科学的有效实证 ,从孔德到马赫、再到卡尔纳普等三代实证主义者 ,在人类心理的数学属性问题上克服了黑格尔时代之前的朦胧与局限 ,展现出扬弃与继承的从含混到明晰、从矛盾到统一的数学心理观思想与体系。纵观实证主义的发展历程 ,应该承认实证主义界域下的数学心理观思想沾染着历史的尘迹 ,但是 ,面对百年隆昌的心理实证研究 ,它的实证方法与探索精神依然能为人们探寻人类心理的数学属性提供丰富的营养 ,并为当代实证心理学、脑科学、认知科学重新审视浩繁而庞杂的心理学实证资料掀开全新的视野。

Positivism,as a doctrine,should be abandoned,but the positive spirit,as a methodology still has vitality today.In order to realize scientific valid empiricism,three generations' positivists had showed thought and system of the psychological notion of mathematics that was from vague to clear and from contradiction to unity.Its positive method and scientific spirit can still provide abundant pabulum for people to research human mental mathematical attribute.