Notre Dame Journal of Formal Logic

LD-Algebras Beyond I0

Vincenzo Dimonte

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Abstract

The algebra of embeddings at the I3 level has been deeply analyzed, but nothing is known algebra-wise for embeddings above I3. In this article, we introduce an operation for embeddings at the level of I0 and above, and prove that they generate an LD-algebra that can be quite different from the one implied by I3.

Article information

Source
Notre Dame J. Formal Logic, Volume 60, Number 3 (2019), 395-405.

Dates
Received: 2 January 2017
Accepted: 4 April 2017
First available in Project Euclid: 11 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.ndjfl/1560218425

Digital Object Identifier
doi:10.1215/00294527-2019-0009

Mathematical Reviews number (MathSciNet)
MR3985618

Subjects
Primary: 03E55: Large cardinals
Secondary: 08-xx

Keywords
Axiom I0 LD-algebra elementary embeddings non-proper ordinals

Citation

Dimonte, Vincenzo. LD-Algebras Beyond I0. Notre Dame J. Formal Logic 60 (2019), no. 3, 395--405. doi:10.1215/00294527-2019-0009. https://projecteuclid.org/euclid.ndjfl/1560218425


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