Independence Results for Finite Set Theories in Well-Founded Locally Finite Graphs
| Authors |
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| Publication date | 10-2024 |
| Journal | Studia Logica |
| Volume | Issue number | 112 | 5 |
| Pages (from-to) | 1181-1200 |
| Number of pages | 20 |
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| Abstract | Abstract We consider all combinatorially possible systems corresponding to subsets of finite set theory (i.e., Zermelo-Fraenkel set theory without the axiom of infinity) and for each of them either provide a well-founded locally finite graph that is a model of that theory or show that this is impossible. To that end, we develop the technique of axiom closure of graphs. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s11225-023-10087-w |
| Downloads |
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