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现象学式的数学哲学最近得到了学界的关注。美国学者理查德·梯辛基于胡塞尔的学说,提出了“建构柏拉图主义”数学哲学观,提出要具体地对数学对象的客观性意义进行现象学建构分析。数学对象的理念性意为数学对象是非因果性的、全时空性的超越对象。对“理念性”意义的现象学建构分析将说明为什么主体能够具有对理念数学对象的经验。数学经验的第一人称视角性和视域结构建构了“超越性”意义;数学直观可以奠基在任意的感性直观之上,这使得数学对象显现为“全时空”的对象;数学直观中的纯粹抽象活动则建构了数学对象的“非因果性”意义。
Phenomenological mathematical philosophy has recently drawn the attention of the academic community. Based on Husserl’s doctrine, American scholar Richard Tisin put forward the view of mathematical philosophy of “constructing Platonism” and put forward the phenomenological analysis of the objectivity of mathematical objects. The concept of mathematical objects means that mathematical objects are non-causal, full time and space beyond the object. A phenomenological analysis of the meaning of “idea ” will show why the subject can have experience with mathematical objects of ideas. The first-person visual angle and the visual field structure of mathematical experience construct the meaning of “transcendence”; the mathematical intuition can be based on any sensible intuition, which makes the mathematical object appear as the object of “all time and space”; the mathematical intuition The purely abstract activity in the text constructs the “non-causal” meaning of mathematical objects.