本文選題：反射原則 + 集合的迭代概念　； 參考：《安徽大學(xué)學(xué)報(哲學(xué)社會科學(xué)版)》2015年05期

【摘要】：反射原則作為集合論公理最合理的內(nèi)在證成方式,被期望經(jīng)由精確描述"集宇宙V不可定義、不可描述"的思想以力圖提供集合論公理的統(tǒng)一解釋。但是該原則背后的潛無窮和實(shí)無窮觀導(dǎo)致如下分歧:逾越Erd錸s基數(shù)的大基數(shù)公理該不該被視為蘊(yùn)涵在由反射原則描述的集宇宙V中?通過比較不同視域下的反射原則揭示出,反射原則不是意在描繪潛在的集合迭代概念,而是旨在表達(dá)"康托爾意義上作為完成的絕對無窮概念V的超越性"。由此,GRP作為更合理的反射原則為那些逾越Erd錸s基數(shù)的大的大基數(shù)公理做出內(nèi)在辯護(hù)。
[Abstract]:As the most reasonable way of proving the axiom of set theory, the principle of reflection is expected to provide a unified interpretation of the axiom of set theory by accurately describing the idea of "set universe V is undefinable and undescriptive". But the latent infinity and the real infinity behind the principle lead to the disagreement that the axiom of the large cardinality beyond the Erd rhenium base number should not be regarded as contained in the set universe V described by the reflection principle. By comparing the reflection principles from different perspectives, it is revealed that the reflection principle is not intended to describe the concept of potential set iteration, but to express "transcendence of the absolute infinite concept V in the sense of Cantor". Therefore, as a more reasonable reflection principle, GRP provides an intrinsic justification for the axioms of large cardinality that exceed the base number of Erd rhenium.
【作者單位】： 澳門科技大學(xué)通識部;
【基金】：國家社會科學(xué)基金重大項目(14ZDB014) 中國邏輯學(xué)會學(xué)術(shù)研究項目(13CLQN001) 澳門科技大學(xué)研究基金(普通研究項目,0441)
【分類號】：B81-0

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