What is the meaning of higher?

adjective

• Greater than normal in degree or intensity or amount.
  • usage: "a high temperature"; "a high price"; "the high point of his career"; "high risks"; "has high hopes"; "the river is high"; "he has a high opinion of himself"
  • synonyms: high
• Literal meaning. ( being at or having a relatively great or specific elevation or upward extension (sometimes used in combinations like `knee-high'))
  • usage: "a high mountain"; "high ceilings"; "high buildings"; "a high forehead"; "a high incline"; "a foot high"
  • synonyms: high
• Standing above others in quality or position.
  • usage: "people in high places"; "the high priest"; "eminent members of the community"
  • synonyms: eminent, high
• Used of sounds and voices; high in pitch or frequency.
  • synonyms: high, high-pitched
• Happy and excited and energetic.
  • synonyms: high, in high spirits
• Used of the smell of meat. ( smelling spoiled or tainted)
  • synonyms: gamey, gamy, high
• Slightly and pleasantly intoxicated from alcohol or a drug (especially marijuana.
  • synonyms: high, mellow
• Advanced in complexity or elaboration.
  • usage: "higher finance"; "higher mathematics"
• Of education beyond the secondary level.
  • usage: "higher education"; "higher learning"

adverb

• At a great altitude.
  • usage: "he climbed high on the ladder"
  • synonyms: high, high up
• In or to a high position, amount, or degree.
  • usage: "prices have gone up far too high"
  • synonyms: high
• In a rich manner.
  • usage: "he lives high"
  • synonyms: high, richly, luxuriously
• Far up toward the source.
  • usage: "he lives high up the river"
  • synonyms: high