Word and Object synonymy of native occasion sentences even of non-observational kind can be settled if raised, but the sentences cannot be translated.' " To go beyond these boundaries of translation by stimulus meaning, the linguist uses analytical hypotheses, in which he uses the steps (1) - (4) to equate parts of the native sentences to English words or phrases. Using the analytical hypotheses the linguist can form new sentences and create a translation manual. In Chapter 2 of "Word and Object", Quine shows that the total apparatus of grammatical and semantic devices in a language is not objectively translatable into foreign languages.
Word (group theory) product of two words is obtained by concatenation: Even if the two words are reduced, the product may not be. The inverse of a word is obtained by inverting each generator, and switching the order of the elements: The product of a word with its inverse can be reduced to the empty word: You can move a generator from the beginning to the end of a word by conjugation: Given a presentation formula_19 for a group "G", the word problem is the algorithmic problem of deciding, given as input two words in "S", whether they represent the same element of