foundation vs soundness

foundation

noun
  • That upon which anything is founded; that on which anything stands, and by which it is supported; the lowest and supporting layer of a superstructure; underbuilding. 

  • The result of the work to begin something; that which stabilizes and allows an enterprise or system to develop. 

  • The lowest and supporting part or member of a wall, including the base course and footing courses; in a frame house, the whole substructure of masonry. 

  • A donation or legacy appropriated to support a charitable institution, and constituting a permanent fund; endowment. 

  • A basis for social bodies or intellectual disciplines. 

  • The act of founding, fixing, establishing, or beginning to erect. 

  • That which is founded, or established by endowment; an endowed institution or charity. 

  • Cosmetic cream roughly skin-colored, designed to make the face appear uniform in color and texture. 

  • In solitaire or patience games, one of the piles of cards that the player attempts to build, usually holding all cards of a suit in ascending order. 

soundness

noun
  • The property (of an argument) of not only being valid, but also of having true premises. 

  • The result or product of being sound. 

  • The property of a logical theory that whenever a wff is a theorem then it must also be valid. Symbolically, letting T represent a theory within logic L, this can be represented as the property that whenever T⊢𝜙 is true, then T vDash 𝜙 must also be true, for any wff φ of logic L. 

  • The state or quality of being sound. 

How often have the words foundation and soundness occurred in a corpus of books? (source: Google Ngram Viewer )