indivisibility

indivisibility

The number's indivisibility by two makes it an odd integer.

Definition

Noun: - The quality of being impossible to divide or separate: "indivisibility" refers to the state or property of something that cannot be split into smaller parts or units without losing its essential nature. - In mathematics: the property of a number that is not divisible by another number without a remainder (e.g., 7 has indivisibility by 2 because 7 ÷ 2 = 3.5, not an integer).

Usage Examples
  • (The idea that atoms could not be split into smaller parts.)
  • (The territory could not be divided or separated.)
  • (A prime number cannot be evenly divided by other numbers.)
Advanced Usage

  • "Indivisibility of rights": a concept in human rights law stating that all rights (civil, political, economic, social, and cultural) are equally important and cannot be ranked or separated.

    • The UN Declaration emphasizes the indivisibility of human rights. (All rights are interconnected and must be treated as a whole.)

  • "Indivisibility of sovereignty": a principle in international law that a state's authority over its territory is absolute and cannot be fragmented.

    • The doctrine of indivisibility of sovereignty was challenged by globalization. (The idea that sovereignty cannot be shared or split.)
Variants and Related Words

  • Indivisible (adj): impossible to divide or separate.

    • The nation declared itself an indivisible union. (The union could not be broken apart.)

  • Indivisibleness (n): a less common synonym for "indivisibility."

    • The indivisibleness of the diamond made it a perfect gem. (The diamond could not be cut further without damage.)
Synonyms
  • Inseparability: the state of being unable to be separated.
  • Unity: the state of being one or whole.
  • Integrity: the quality of being whole and undivided.
Related Idioms

  • "As indivisible as the atom": used metaphorically to describe something that cannot be separated or broken.

    • Their partnership was as indivisible as the atom. (Their partnership was completely inseparable.)

  • "Indivisibility of the human soul": a philosophical or religious concept that the soul is a single, undivided entity.

    • Many traditions teach the indivisibility of the human soul. (The soul is believed to be a unified whole.)