Definitions of paper:

• noun:   medium for written communication

  Example: "The notion of an office running without paper is absurd"

• noun:   a scholarly article describing the results of observations or stating hypotheses

  Example: "He has written many scientific papers"

• noun:   a material made of cellulose pulp derived mainly from wood or rags or certain grasses
• noun:   a newspaper as a physical object

  Example: "When it began to rain he covered his head with a newspaper"

• noun:   a daily or weekly publication on folded sheets; contains news and articles and advertisements

  Example: "He read his newspaper at breakfast"

• noun:   an essay (especially one written as an assignment)
• noun:   a business firm that publishes newspapers

  Example: "Murdoch owns many newspapers"

• verb:   cover with paper

  Example: "Paper the box"

• verb:   cover with wallpaper
• adjective:   made of paper

  Example: "They wore paper hats at the party"