Paradox by (non-wellfounded) definition
Paradox by (non-wellfounded) definition
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根据（没有充分根据的）定义的悖论
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
H. Leitgeb
中科院分区：
文献类型：
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作者：
H. Leitgeb
假设有些人的心智能力在两个方面是无限的：（1）他们能够记住无限长的语言项目;（2）他们能够在头脑中记住无限多的语言项目。因此，结合（i）和（ii），他们能够推理无限多，无限长的语言项目。特别是，这些人为自己在概念分析方面的巨大卓越而感到自豪：其中，人类在其有限性限制下，首先根据另一个概念Q1来分析概念P，之后才发现可以基于Q1和Q2给出对P的更细粒度的分析，他们进一步改进为根据Q1、Q2、Q3等来分析P，这些人感知到一个普遍的模式，并利用他们的能力在一个无限长的公式中定义P，这个公式涉及无限多个概念Q1，Q2，Q3，.同时还研究与讨论例如，他们对P的定义可能是以下形式：
Assume that there are beings whose mental capacities are infinite in two respects: (i) they are able to bear in mind infinitely long linguistic items and (ii) they can hold infinitely many linguistic items before their minds. Thus, combining (i) and (ii), they are capable of reasoning with infinitely many, infinitely long linguistic items. In particular, these beings pride themselves on their enormous excellence in conceptual analysis: where humans, with their finitary restrictions, first analyse a concept P in terms of another concept Q1, only to find out later that a more fine-grained analysis of P can be given on the basis of Q1 and Q2, which they further improve to an analysis of P in terms of Q1, Q2, Q3, and so forth, these beings perceive a general pattern and use their abilities to define P in one infinitely long formula that involves infinitely many concepts Q1, Q2, Q3, ... at the same time. For example, their definition of P might be of the form