Comparing Knowledge: An Analysis of the Relative Epistemic Powers of Groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915659338743808 |
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| author | Alexandru, Baltag Sonja, Smets |
| author_facet | Alexandru, Baltag Sonja, Smets |
| contents | We use a novel type of epistemic logic, employing comparative knowledge assertions, to analyze the relative epistemic powers of individuals or groups of agents. Such comparative assertions can express that a group has the potential to (collectively) know everything that another group can know. Moreover, we look at comparisons involving various types of knowledge (fully introspective, positively introspective, etc.), satisfying the corresponding modal-epistemic conditions (e.g., $S5$, $S4$, $KT$). For each epistemic attitude, we are particularly interested in what agents or groups can know about their own epistemic position relative to that of others. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06542 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparing Knowledge: An Analysis of the Relative Epistemic Powers of Groups Alexandru, Baltag Sonja, Smets Logic in Computer Science 03B42 F.4.0 We use a novel type of epistemic logic, employing comparative knowledge assertions, to analyze the relative epistemic powers of individuals or groups of agents. Such comparative assertions can express that a group has the potential to (collectively) know everything that another group can know. Moreover, we look at comparisons involving various types of knowledge (fully introspective, positively introspective, etc.), satisfying the corresponding modal-epistemic conditions (e.g., $S5$, $S4$, $KT$). For each epistemic attitude, we are particularly interested in what agents or groups can know about their own epistemic position relative to that of others. |
| title | Comparing Knowledge: An Analysis of the Relative Epistemic Powers of Groups |
| topic | Logic in Computer Science 03B42 F.4.0 |
| url | https://arxiv.org/abs/2512.06542 |