Plato’s theory of forms and the axiom of foundation


By y ⊂ x we mean that z ∈ y implies that z ∈ x. If x is a set, we say that an element y of x is epsilon-minimal if y ∩ x = ∅. The axiom of foundation states that if x 6= ∅ then x has an epsilon-minimal element. See Jech [28, p. 63, Chapter 6]. Zermelo [52]. Translated and glossed in [20, pp. 1208–1233]. Kanamori [29] Ebbinghaus: [17] Forster [21] Von… (More)


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