indemonstrableness

The indemonstrableness of the theorem puzzled the mathematician.

Definition

1. Noun:
   • The quality of being impossible to prove or demonstrate: "indemonstrableness" refers to the state or characteristic of a proposition, claim, or concept that cannot be demonstrated, proven, or shown to be true through evidence or logical reasoning.

Usage Examples

• (The impossibility of proving these principles.)
• (The quality of axioms that cannot be demonstrated.)
• (The theory's inability to be proven.)

Advanced Usage

• "inherent indemonstrableness": an intrinsic quality of being unprovable.

  • The inherent indemonstrableness of the existence of God is a central topic in theology. (The unprovable nature is a core characteristic.)

• "logical indemonstrableness": the property of a statement that cannot be derived from known premises.

  • Logical indemonstrableness applies to first principles in a deductive system. (First principles cannot be proven within that system.)

Variants and Related Words

• Indemonstrable (adj): impossible to prove or demonstrate.
  • The claim is indemonstrable, so we must accept it on faith. (Cannot be demonstrated.)
• Indemonstrability (n): the state of being indemonstrable (synonymous with indemonstrableness).
  • The indemonstrability of the axiom was acknowledged by the mathematician. (Same meaning as indemonstrableness.)

Synonyms

• Unprovability: the quality of being incapable of being proved.
• Inexplicability: the quality of being impossible to explain or account for.
• Undemonstrativeness: the state of not being able to be shown or demonstrated.

Related Idioms

• "beyond proof": something that cannot be demonstrated or proven.
  • Some truths are beyond proof, such as the existence of an external world. (Cannot be demonstrated through evidence.)