Definition

1. Noun:
   • The condition or fact of being impossible; incapability of existing or occurring: The state where something cannot happen, exist, or be achieved.
   • Something that is impossible: A specific thing, event, or task that cannot be done or realized.

Usage and Examples

• As a general concept (uncountable):

  • The impossibility of the task discouraged the team. (The fact that the task could not be done discouraged the team.)
  • He finally accepted the impossibility of the situation. (He finally accepted that the situation could not occur or be changed.)

• Referring to a specific impossible thing (countable):

  • Asking for a perfect solution is an impossibility. (Asking for a perfect solution is an impossible thing.)
  • She achieved what others had dismissed as an impossibility. (She achieved what others had considered an impossible feat.)

Advanced Usage

• Logical or mathematical impossibility: Used in formal contexts to describe something that contradicts logical or natural laws.
  • A square circle is a logical impossibility. (A square circle cannot exist by definition.)
• Sheer/utter impossibility: Emphasizes something is completely impossible.
  • Building a bridge in one day is a sheer impossibility. (Building a bridge in one day is completely impossible.)

Variants and Related Words

• Impossible (adj): Not able to occur, exist, or be done.
  • Faster-than-light travel is currently impossible.
• Impossibly (adv): In a way that seems impossible; to an impossible degree.
  • The mountain was impossibly steep.

Synonyms

• Impracticability: The quality of being impracticable; not feasible in practice.
• Unattainability: The state of being impossible to achieve or reach.
• Hopelessness (in some contexts): The feeling or state of despair when something seems impossible.

Antonyms

• Possibility: The state or fact of being possible.
• Feasibility: The practicality or possibility of something.
• Certainty: Firm conviction that something is the case; something that is certain to happen.

Idioms and Phrases

• To defy impossibility: To attempt or achieve something considered impossible.
  • The researchers aimed to defy impossibility with their new theory.
• An impossibility theorem: A formal result in logic or game theory proving that certain conditions cannot be simultaneously satisfied (e.g., Arrow's impossibility theorem in social choice theory).

Noun

1. an alternative that is not available
2. incapability of existing or occurring