Let me give some more background.  I am building a visualforce page with custom controller for a new version of the "close case" screen which is arrived at after clicking the "Close" button on the standard case screen.  My client has several status values which they have created by modifying the picklist values of the "Status" field of the case object.  If we go to setup>customize>case>fields then click on the "Status" link under the column heading "Fields Label", we see all the values that have been created for the status picklist.  Each one of those values has 2 checkboxes next to it.  "Default" and "Closed".  Using the schema methods one can determine if the picklist value is a default value, however,  I do not see in the docs how to determine if a picklist entry indicates that the case is closed.

My reason for this is that the close case screen should only show entries in the status picklist that indicate that the case is closed - which is how the standard close case screen behaves currently.

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Excerpt from Describe Field Result Methods in Apex Docs

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The following table describes the methods available as part of the PicklistEntry object. None of the methods take an argument.

Name Data Type Description