hope vs idea

hope

noun
  • The feeling of trust, confidence, belief or expectation that something wished for can or will happen. 

  • A sloping plain between mountain ridges. 

  • A small bay; an inlet; a haven. 

  • A hollow; a valley, especially the upper end of a narrow mountain valley when it is nearly encircled by smooth, green slopes; a combe. 

  • The virtuous desire for future good. 

  • The actual thing wished for. 

  • A person or thing that is a source of hope. 

verb
  • To wish. 

  • To want something to happen, with a sense of expectation that it might. 

  • To place confidence; to trust with confident expectation of good; usually followed by in. 

  • To be optimistic; be full of hope; have hopes. 

idea

noun
  • A vague or fanciful notion; a feeling or hunch; an impression. 

  • An abstract archetype of a given thing, compared to which real-life examples are seen as imperfect approximations; pure essence, as opposed to actual examples. 

  • A conception in the mind of something to be done; a plan for doing something, an intention. 

  • A purposeful aim or goal; intent 

  • A musical theme or melodic subject. 

  • More generally, any result of mental activity; a thought, a notion; a way of thinking. 

  • An image of an object that is formed in the mind or recalled by the memory. 

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