$ω$-consistency for Different Arrays of Quantifiers
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929538479423488 |
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| author | Santos, Paulo Guilherme |
| author_facet | Santos, Paulo Guilherme |
| contents | We study the formalized v statement by allowing the occurrence of different arrays of quantifiers in it. We prove that for some specific arrays of quantifiers we get consistency statements that are S-equivalent to the original $ω$-consistency statement (S denotes the basis theory to develop metamathematics). We end our paper by creating a theory of truth that proves each $ω$-consistency-statement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09195 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $ω$-consistency for Different Arrays of Quantifiers Santos, Paulo Guilherme Logic 03F03 We study the formalized v statement by allowing the occurrence of different arrays of quantifiers in it. We prove that for some specific arrays of quantifiers we get consistency statements that are S-equivalent to the original $ω$-consistency statement (S denotes the basis theory to develop metamathematics). We end our paper by creating a theory of truth that proves each $ω$-consistency-statement. |
| title | $ω$-consistency for Different Arrays of Quantifiers |
| topic | Logic 03F03 |
| url | https://arxiv.org/abs/2410.09195 |