identical vs incommensurable

identical

noun
  • Something which has exactly the same properties as something else. 

  • An identical twin. 

adj
  • Not different or other; not another or others; not different as regards self; selfsame; numerically identical. 

  • Bearing full likeness by having precisely the same set of characteristics; indistinguishable. 

  • Of twins, sharing the same genetic code. 

  • Approximating or approaching exact equivalence. 

  • Exactly equivalent. 

  • For more quotations using this term, see Citations:identical. 

incommensurable

adj
  • Not able to be measured by the same standards as another term in the context. 

  • having a ratio that is not expressible as a fraction of two integers. 

  • having no common integer divisor except 1. 

noun
  • An incommensurable value or quantity; an irrational number. 

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