duality

/dju:'æliti/

Thân thiện

A simple geometric diagram illustrates the principle of duality.

Definition

1. Noun:
   • The quality or state of having two parts, aspects, or natures: "duality" refers to the condition of being dual, double, or twofold.
   • A classification into two contrasting or opposite categories: "duality" can describe a division into two mutually exclusive groups or concepts.
   • (Specialized - Geometry) The interchangeability of roles: In projective geometry, "duality" is the principle where points and planes can be interchanged in theorems.
   • (Specialized - Physics) The wave-particle duality: The property of matter and radiation exhibiting both wave-like and particle-like characteristics.

Usage Examples

• General Use:
  • The duality of human nature—good and evil—is a common theme in literature.
  • There is a fundamental duality in her personality; she is both fiercely independent and deeply caring.
• Scientific Use:
  • In quantum mechanics, the duality of light is a cornerstone concept.
  • The geometric principle of duality simplifies many complex proofs.

Advanced Usage

• "Dualistic thinking": A mode of thought that divides concepts into two opposing parts (e.g., mind vs. body, nature vs. nurture). This is a related concept stemming from the idea of "duality".
• "To embody a duality": To contain or represent two contrasting aspects within a single entity.
  • The character in the novel embodies the duality of genius and madness.

Variants and Related Words

• Dual (adj): Consisting of two parts, elements, or aspects.
  • The car has a dual exhaust system.
• Dualism (n): A theory or system of thought that recognizes two independent principles, such as good and evil, or mind and matter.
  • Cartesian dualism distinguishes between the mind and the body.

Synonyms

• Dichotomy: A division or contrast between two things that are represented as being opposed or entirely different.
• Ambivalence: The state of having mixed feelings or contradictory ideas about something or someone.
• Polarity: The state of having two opposite or contradictory tendencies, opinions, or aspects.

Related Phrases

• "The duality of man": A common phrase referring to the coexistence of contrasting qualities (like good and evil, rational and emotional) within a single person.
• "Inherent duality": A duality that is a fundamental, inseparable part of something's nature.

Học thuật

Noun

1. (geometry) the interchangeability of the roles of points and planes in the theorems of projective geometry
2. (physics) the property of matter and electromagnetic radiation that is characterized by the fact that some properties can be explained best by wave theory and others by particle theory
3. being twofold; a classification into two opposed parts or subclasses
   • the dichotomy between eastern and western culture

Từ đồng nghĩa

• wave-particle duality
• dichotomy