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  "body": "\n## Summary\n\nIn mathematical logic, an **omega-categorical theory** is a theory that has exactly one [[countably infinite|01TQB88H4C]] model up to isomorphism. Omega-categoricity is the special case κ = $\\aleph_0$ = ω of κ-categoricity, and omega-categorical theories are also referred to as **ω-categorical**. The notion is most important for countable [[first-order|086QKPF0A6]] theories.\n",
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