[FOM] Cardinals and Choice

[Richard Heck]

All the helpful books are at the office, so I'll ask here: Does the 
principle that the cardinals are well-ordered imply the axiom of choice? 
It clearly implies countable choice, right? (Since an infinite but 
Dedekind finite concept would allow us to create a descending sequence 
of cardinals.) Does it imply more?

Richard

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Richard G Heck Jr
Romeo Elton Professor of Natural Theology
Brown University