untenable

Meanings

1. 1
   adj

   Not able to be held or sustained, such as of an opinion or position.

   The theory of cold fusion was untenable.

2. 2
   adj

   Unfit for habitation.

   […] ceilings, staircases, all that make a house habitable had vanished in the flare of his conflagration, and since his soul could no longer dwell there, it dwelt instead, so to speak, in the pleasant garden which surrounded the untenable house.

3. 3
   adj

   (of theories etc) incapable of being defended or justified

From un- + tenable.

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