noun (n)

• a position on a scale of intensity or amount or quality(noun.attribute)

  Example:
  It is all a matter of degree.
  

  Synonym:
  grade, level
  

  source: wordnet30
• a specific identifiable position in a continuum or series or especially in a process(noun.state)

  Example:
  A remarkable degree of frankness.
  

  Synonym:
  level, point, stage
  

  source: wordnet30
• an award conferred by a college or university signifying that the recipient has satisfactorily completed a course of study(noun.communication)

  Example:
  He earned his degree at Princeton summa cum laude.
  

  Synonym:
  academic degree
  

  source: wordnet30
• a measure for arcs and angles(noun.quantity)

  Example:
  There are 360 degrees in a circle.
  

  Synonym:
  arcdegree
  

  source: wordnet30
• the highest power of a term or variable(noun.cognition)

  source: wordnet30
• a unit of temperature on a specified scale(noun.quantity)

  Example:
  The game was played in spite of the 40-degree temperature.
  

  source: wordnet30
• the seriousness of something (e.g., a burn or crime)(noun.attribute)

  Example:
  Murder in the second degree.
  A second degree burn.
  

  source: wordnet30
• A step, stair, or staircase.(noun)

  source: webster1913