soundness vs toughness

soundness

noun
  • The state or quality of being sound. 

  • The result or product of being sound. 

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

  • 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. 

toughness

noun
  • Fortitude; hardiness; mettle. 

  • A formidable difficulty. 

  • Resistance to fracture when stressed, or the degree of such resistance. 

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