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Ehrenfeucht–Mostowski theorem : ウィキペディア英語版 | Ehrenfeucht–Mostowski theorem In model theory, a field within mathematical logic, the Ehrenfeucht–Mostowski theorem gives conditions for the existence of a model with indiscernibles. ==Statement== A linearly ordered set ''X'' is called a set of indiscernibles of a model if the truth of a statement about elements of ''X'' depends only on their order. The Ehrenfeucht–Mostowski theorem states that if ''T'' is a theory with an infinite model, then there is a model of ''T'' containing any given linearly ordered set ''X'' as a set of indiscernibles. The proof uses Ramsey's theorem.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Ehrenfeucht–Mostowski theorem」の詳細全文を読む
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