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胡塞尔的《算术哲学(Ⅰ)》出版于1891年。在该书的书评中,弗雷格批评了胡塞尔关于概念的观点以及他通过抽象来说明数的做法。特别地,在批评胡塞尔关于定义的论述时,弗雷格表述了所谓的分析悖论,并且尝试通过涵义和指称的区分来消解这个悖论。弗雷格还批评了胡塞尔观点所导致的三个困难,即如何说明单位的同一与差异、如何说明0和1以及如何说明无穷数。弗雷格的批评对胡塞尔放弃心理主义产生了重要作用。
Husserl’s Arithmetical Philosophy (Ⅰ) was published in 1891. In his book review, Frege criticizes Husserl’s notion of concepts and his account of abstraction. In particular, in criticizing Husserl’s account of the definition, Frege expresses so-called analysis paradoxes and tries to dispel the paradox by the distinction between meaning and allegation. Frege also criticized the three difficulties caused by Husserl’s point of view, namely, how to explain the unity and difference of units, how to explain 0 and 1, and how to explain infinity. Frege’s critique played an important role in Husserl’s abandoning psychology.