indemonstrable

An indemonstrable truth is often accepted on faith.

Definition

1. Adjective:
   • Not capable of being demonstrated or proved: "indemonstrable" describes something that cannot be shown to be true or false through evidence, reasoning, or logical argument. It applies to statements, principles, or claims that resist proof.

Usage Examples

• (These basic principles cannot be proven within the system they support.)
• (The theory could not be tested or verified through experiment.)
• (It cannot be demonstrated using observable evidence.)

Advanced Usage

• "indemonstrable truth": a proposition that cannot be proven but is accepted as a starting point for reasoning.
  • In mathematics, some axioms are treated as indemonstrable truths. (They are assumed without proof.)
• "indemonstrable belief": a conviction held without the possibility of empirical verification.
  • Her faith rested on indemonstrable beliefs. (Her beliefs could not be proven or disproven.)

Variants and Related Words

• Indemonstrability (n): the quality or state of being indemonstrable.
  • The indemonstrability of the claim made it a matter of faith, not science. (The claim could not be proven.)
• Indemonstrably (adv): in a manner that cannot be demonstrated.
  • The principle was indemonstrably true within the system. (It was true but not provable.)

Synonyms

• Unprovable: not able to be proved.
• Inexplicable: impossible to explain or account for.
• Unverifiable: not able to be confirmed or tested.

Antonyms

• Demonstrable: capable of being demonstrated or proved.
• Provable: able to be shown to be true or false.

Related Idioms

• Beyond proof: incapable of being established as true or false.
  • The mystery remained beyond proof, an indemonstrable puzzle. (It could not be demonstrated.)
• A matter of faith: something accepted on belief rather than evidence.
  • For him, the indemonstrable claim was a matter of faith. (It could not be proven.)