indefinite failure of issue

from Bouvier's Law Dictionary, Revised 6th Ed (1856)
INDEFINITE FAILURE OF ISSUE, executory devise. A general failure of issue, 
whenever it may happen, without fixing a time, or certain or definite 
period, within which it must take place. The issue of the first taker must 
be extinct, and the issue of the issue ad infinitum, without regard to the 
time or any particular event. 2. Bouv. Inst. n. 1849. 
    

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