| _version_ | 1866901227854364672 |
|---|---|
| author | Yugo Hidaka |
| author_facet | Yugo Hidaka |
| contents | <p>This work investigates how classical logic emerges from higher-categorical structures via truncation. We show that certain higher-order structures cannot be faithfully represented in classical categorical settings.<br>We introduce a notion of stratified negation in weak 2-categories and prove that it cannot be preserved under strict or pseudo embeddings into locally discrete categories.<br>An example from homotopy theory illustrates the collapse of higher structure under truncation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19698717 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Truncation, Negation, and Coherence Obstructions in Higher-Categorical Logic Yugo Hidaka higher category theory, (infinity,1)-topos, homotopy type theory, truncation, coherence, 2-categories, higher logic, categorical logic, stratified negation, homotopy theory Mathematics > Category Theory <p>This work investigates how classical logic emerges from higher-categorical structures via truncation. We show that certain higher-order structures cannot be faithfully represented in classical categorical settings.<br>We introduce a notion of stratified negation in weak 2-categories and prove that it cannot be preserved under strict or pseudo embeddings into locally discrete categories.<br>An example from homotopy theory illustrates the collapse of higher structure under truncation.</p> |
| title | Truncation, Negation, and Coherence Obstructions in Higher-Categorical Logic |
| topic | higher category theory, (infinity,1)-topos, homotopy type theory, truncation, coherence, 2-categories, higher logic, categorical logic, stratified negation, homotopy theory Mathematics > Category Theory |
| url | https://doi.org/10.5281/zenodo.19698717 |