logic vs soundness

logic

noun
  • The study of the principles and criteria of valid inference and demonstration. 

  • It's hard to work out his system of logic. 

  • The mathematical study of relationships between rigorously defined concepts and of mathematical proof of statements. 

  • The part of a system (usually electronic) that performs the boolean logic operations, short for logic gates or logic circuit. 

  • A method of human thought that involves thinking in a linear, step-by-step manner about how a problem can be solved. Logic is the basis of many principles including the scientific method. 

  • A formal or informal language together with a deductive system or a model-theoretic semantics. 

  • Any system of thought, whether rigorous and productive or not, especially one associated with a particular person. 

adj
  • logical 

verb
  • To engage in excessive or inappropriate application of logic. 

  • To apply logical reasoning to. 

  • To overcome by logical argument. 

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 logic and soundness occurred in a corpus of books? (source: Google Ngram Viewer )