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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
Any first-order theory of sets is inadequate [Read]
     Full Idea: Any first-order theory of sets is inadequate because of the Löwenheim-Skolem-Tarski property, and the consequent Skolem paradox.
     From: Stephen Read (Thinking About Logic [1995], Ch.2)
     A reaction: The limitation is in giving an account of infinities.