Statement:

\(\Bbb Z\) (the set of integers under addition) is amenable.  (\(G\) is {\it amenable} if there is a finitely additive measure \(\mu\) on \(\cal P(G)\) such that \(\mu(G) = 1\) and \(\forall A\subseteq G, \forall g\in G\), \(\mu(gA)=\mu(A)\).)

Howard_Rubin_Number: 313

Parameter(s): This form does not depend on parameters

This form's transferability is: Transferable

This form's negation transferability is: Negation Transferable

Article Citations:

Book references
The Banach-Tarski Paradox, Wagon, S., 1985

Note connections:

The following forms are listed as conclusions of this form class in rfb1: 99, 171, 76, 210, 324, 18, 53, 69, 46-K, 45-n, 96, 98, 103, 124, 127, 128, 146, 154, 163, 243, 190, 173, 177, 236, 198, 216, 217, 221, 222, 235, 237, 240, 241, 249, 267, 285, 293, 291, 323, 330, 349, 350, 358, 356, 357, 382, 390, 244, 119, 151, 238, 294, 314, 183-alpha, 33-n, 136-k, 220-p, 288-n, 342-n, 308-p, 373-n,

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