*When Zermelo's appeared, he thought it less informative than his own. Through correspondence with Russell, he gradually understood how deeply the Axiom of Choice was embedded in his own thinking, and so he accepted the Axiom as valid.*

**Author**: G.H. Moore

**Publisher:** Springer Science & Business Media

**ISBN:** 9781461394785

**Category:** Mathematics

**Page:** 412

**View:** 616

*74 He shows a particular interest in the independence of the axiom of choice (ibid, 3) and gives good advice on this point. When Fraenkel published his results, he thanked Zermelo for providing helpful arguments (1922a, fn. 3).*

**Author**: Heinz Dieter Ebbinghaus

**Publisher:** Springer

**ISBN:** 9783662479971

**Category:** Mathematics

**Page:** 384

**View:** 302

**Zermelo** , again in reply to Peano , notes that the **axiom of choice** for finite sets ( of non - empty sets ) follows from one of Peano's logical axioms ; thus his ( **Zermelo's** ) axiom is an extension of Peano's axiom to the infinite case .

**Author**: Michael Hallett

**Publisher:** Oxford University Press

**ISBN:** 0198532830

**Category:** Mathematics

**Page:** 343

**View:** 685

*AMS 1980 Subject Classification: 03A05 ZERMELO AXIOM - The axiom of choice for an arbitrary (not necessarily disjoint) family of sets. E. Zermelo stated this axiom in 1904 in the form of the following assertion, which he called the ...*

**Author**: Michiel Hazewinkel

**Publisher:** Springer Science & Business Media

**ISBN:** 9789401512336

**Category:** Mathematics

**Page:** 536

**View:** 801