Reflection Principles, Generic Large Cardinals, and the Continuum Problem

Reflection Principles, Generic Large Cardinals, and the Continuum Problem
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反射原理、通用大基数和连续统问题

DOI:
10.1007/978-981-16-4173-2_1
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发表时间:
2021
期刊:
SAML 2018: Advances in Mathematical Logic
影响因子:
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通讯作者:
Rodrigues Andre Ottenbreit Maschio
Rodrigues Andre Ottenbreit Maschio
中科院分区:
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文献类型:
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作者:
Fuchino Sakae;Rodrigues Andre Ottenbreit Maschio

文献摘要

相似文献

强反射原理与反射基数或意味着连续统的大小要么很大,要么很大。因此,强反射原理应该成立这一规定似乎支持了关于连续统可能大小的可分性。在这篇文章中,我们研究了反射原理和一般大基数的相关概念的情况。
Strong reflection principles with the reflection cardinalorimply that the size of the continuum is eitheroror very large. Thus, the stipulation, that a strong reflection principle should hold, seems to support the trichotomy on the possible size of the continuum. In this article, we examine the situation with the reflection principles and related notions of generic large cardinals.