Implication can refer to:

• Logic:
  • Logical implication as regarded in mathematical logic.
  • Material conditional as regarded in philosophical logic.

• Entailment (pragmatics)

Also, in linguistics, there are different specialized related notions:

• Implication (pragmatics)

• In mathematics functions can be implicit.

• In forensics, medical diagnosis, or scientific investigation, a hypothetical cause is implicated or indicated when a reason for the condition can be found, given that cause.

• Implicit can mean to imply indirectly, that is to not state it directly.