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On a Question of Hamkins and L\"owe on t...

Golshani, Mohammad...

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On a Question of Hamkins and L\"owe on the modal logic of collapse forcing by Golshani, Mohammad ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	Hamkins and L\"{o}we asked whether there can be a model $N$ of set theory with the property that $N\equiv N[g]$ whenever $g$ is a generic collapse of a cardinal of $N$ onto $\omega$. We give equiconsistency results for two weaker versions of this property. We also include a proof of Woodin's result that the consistency of the full Hamkins-L\"{o}we property follows from that of a Woodin cardinal with an inaccessible above.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1609.02633

Citation

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AMA 11th EditionReferences

Golshani, Mohammad. On a Question of Hamkins and L\"owe on the modal logic of collapse forcing. Australian National University. August 09, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/13996

APA 7th EditionReferences

Golshani, Mohammad. (2023). On a Question of Hamkins and L\"owe on the modal logic of collapse forcing. Australian National University. https://online.provdatabase.com/cite/13996

Chicago 17th EditionReferences

Golshani, Mohammad. On a Question of Hamkins and L\"owe on the modal logic of collapse forcing. Australian National University. 2023. https://online.provdatabase.com/cite/13996

HarvardReferences

Golshani, Mohammad. (2023). On a Question of Hamkins and L\"owe on the modal logic of collapse forcing. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/13996. (Accessed 01 October 2025).

Harvard AustraliaReferences

Golshani, Mohammad, 2023, On a Question of Hamkins and L\"owe on the modal logic of collapse forcing, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/13996>

MLA 9th EditionWorks Cited

Golshani, Mohammad. On a Question of Hamkins and L\"owe on the modal logic of collapse forcing. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/13996.

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