Truth and collection
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913985999142912 |
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| author | Wcisło, Bartosz |
| author_facet | Wcisło, Bartosz |
| contents | Answering a question of Kaye, we show that the compositional truth theory with a full collection scheme is conservative over Peano Arithmetic. We demonstrate it by showing that countable models of compositional truth which satisfy the internal induction or collection axioms can be end-extended to models of the respective theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19367 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Truth and collection Wcisło, Bartosz Logic 03H15, 03F30, 03C62, 03A05 Answering a question of Kaye, we show that the compositional truth theory with a full collection scheme is conservative over Peano Arithmetic. We demonstrate it by showing that countable models of compositional truth which satisfy the internal induction or collection axioms can be end-extended to models of the respective theory. |
| title | Truth and collection |
| topic | Logic 03H15, 03F30, 03C62, 03A05 |
| url | https://arxiv.org/abs/2403.19367 |