Singular terms revisited

Singular terms revisited
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重新审视单数术语

DOI:
10.1007/s11229-015-0777-2
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发表时间:
2016
期刊:
影响因子:
1.5
通讯作者:
Schwartzkopff
Schwartzkopff
中科院分区:
人文科学2区
文献类型:
--
作者:
Schwartzkopff

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新弗雷格主义者认为,他们的算术实在论的论点取决于某些所谓的广义句法测试的可用性,以确定给定的表达式是否作为单数项发挥作用。新弗莱格主义传统中提出的广义句法测试是所谓的推理测试和亚里士多德测试。如果这些测试是为了支持新弗莱格主义的论点,那么从正确区分单数项和非单数项的范例案例的意义上来说,它们至少是足够的。在本文中,我追求两个主要目标。一方面,我认为这些测试目前最先进的公式是不充分的,因此不能支持新弗莱格主义的论点。另一方面,我提出的修订是足够的,因此可以支持这一论点。
Neo-Fregeans take their argument for arithmetical realism to depend on the availability of certain, so-called broadly syntactic tests for whether a given expression functions as a singular term. The broadly syntactic tests proposed in the neo-Fregean tradition are the so-called inferential test and the Aristotelian test. If these tests are to subserve the neo-Fregean argument, they must be at least adequate, in the sense of correctly classifying paradigm cases of singular terms and non-singular terms. In this paper, I pursue two main goals. On the one hand, I show that the tests’ current state-of-the-art formulations are inadequate and, hence, cannot subserve the neo-Fregean argument. On the other hand, I propose revisions that are adequate and, hence, can subserve this argument.