Measurable Cardinals.

DrWm

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Sep 24, 2017
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I have been searching the web for several years now attempting to find a good intuitive explanation of what measurable cardinals are and how best to conceive them. All I can find, over nd over, are definitions of the things in terms of ultrafilters and k-sigma measures. I do know what those things are, but that doesn't help me visualize what a measurable cardinal looks like, how one makes one, or why it has the properties it does. Can anyone help me with this?? Thanks for reading!!
 

Ishuda

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Jul 30, 2014
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I have been searching the web for several years now attempting to find a good intuitive explanation of what measurable cardinals are and how best to conceive them. All I can find, over nd over, are definitions of the things in terms of ultrafilters and k-sigma measures. I do know what those things are, but that doesn't help me visualize what a measurable cardinal looks like, how one makes one, or why it has the properties it does. Can anyone help me with this?? Thanks for reading!!
Sorry, no I can't. However, being here takes me to concepts I haven't actually seen before [but in rare cases, may have thought of it]. So thanks for introducing me to a new concept.
 

HallsofIvy

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Jan 27, 2012
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I googled "measurable cardinal" and got a number of results talking about "inaccessible cardinals", "two-valued measures", and "complete non-principle ultrafilters". If you don't know what any of those mean, then you have a lot of background work to do first!
 

JeffM

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Sep 14, 2012
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This might be a question better asked at the math stack exchange.
 
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