Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory - that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's theorem. For example, the very result that scholars attribute to Löwenheim today is not the one that Skolem - a logician raised in the algebraic tradition, like Löwenheim - appears to have attributed to him. In 'The Birth of Model Theory', Calixto Badesa provides both the first sustained, book-length analysis of Löwenheim's proof and a detailed description of the theoretical framework - and, in particular, of the algebraic tradition - that made the theorem possible.
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Subtítulo: LOWENHEIMS THEOREM IN THE FRAME OF THE THEORY OF