unprovable

/'ʌn'pru:vəbl/

Thân thiện

The mathematician concluded the conjecture was unprovable.

Definition

1. Adjective:
   • Not capable of being proven or demonstrated: Describes a statement, hypothesis, or claim for which conclusive evidence or logical proof cannot be provided. It often relates to philosophical, theoretical, or subjective assertions.

Usage

• The adjective "unprovable" is used to qualify a noun, indicating that the thing described lacks the quality of being verifiable or demonstrable.
• It is typically used in formal, academic, or philosophical contexts to discuss the limits of knowledge, logic, or evidence.
• It can describe abstract concepts, metaphysical claims, or speculative ideas.

Examples

• Adjective:
  • The existence of a higher power is an unprovable hypothesis for many scientists.
  • His theory was fascinating but ultimately unprovable with current technology.
  • We are dealing with an unprovable assumption, so we must proceed with caution.

Advanced Usage

• "Inherently unprovable": Used to emphasize that the nature of something makes proof fundamentally impossible.
  • The solipsist's view that only one's own mind is sure to exist is inherently unprovable.
• "Practically unprovable": Suggests that while proof might be theoretically possible, it is impossible given current practical constraints.
  • The ancient legend is practically unprovable due to the lack of archaeological evidence.

Variants and Related Words

• Unprovability (noun): The quality or state of being unprovable.
  • The unprovability of the axiom was a major topic in the debate.
• Unproved (adjective): Not having been proven. (Note: "Unproved" means proof has not yet been provided; "unprovable" means proof cannot be provided.)
  • The allegation remains unproved in a court of law.

Synonyms

• Unverifiable: Incapable of being checked or confirmed for truth or accuracy.
• Indemonstrable: Incapable of being demonstrated or proved.
• Non-falsifiable: (In philosophy of science) Not capable of being proven false, which often implies it is also not provably true.

Antonyms

• Provable: Capable of being proven.
• Demonstrable: Able to be shown or proven clearly and obviously.
• Verifiable: Able to be checked or confirmed.

Related Phrases and Concepts

• Unprovable statement: A specific declaration that cannot be proven.
  • Gödel's incompleteness theorems deal with unprovable statements within formal systems.
• Unprovable claim: An assertion made without the possibility of providing proof.
  • The advertiser made an unprovable claim about the product's secret ingredient.

Học thuật

Adjective

1. not provable
   • it was both unproved and unprovable