On the Significance of Parameters in the Choice and Collection Schemata in the 2nd Order Peano Arithmetic
We make use of generalized iterations of the Sacks forcing to define cardinal-preserving generic extensions of the constructible universe <b>L</b> in which the axioms of <b>ZF</b> hold and in addition either (1) the parameter-free countable axiom of choice <inline-formula&...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/11/3/726 |