golden mean
Học thuậtThân thiện
Definition
Noun: 1. The desirable middle between two extremes: A principle of moderation, advocating for a balanced position that avoids excess or deficiency. This concept is central to Aristotelian ethics. 2. A specific proportional relation in mathematics and aesthetics: The ratio where the whole is to the larger part as the larger part is to the smaller part, approximately equal to 1.618. This is also known as the golden ratio.
Usage Examples
As the ethical principle:
- In his philosophy, Aristotle advocated for the golden mean between cowardice and recklessness, which he called courage.
- When giving advice, she always seeks the golden mean, avoiding overly harsh or excessively lenient opinions.
As the mathematical/aesthetic ratio:
- The architect designed the building's façade based on the golden mean to achieve visual harmony.
- The length and width of the rectangle are in the golden mean, making it particularly pleasing to the eye.
Advanced Usage
- "To find/strike the golden mean": To achieve or identify the ideal moderate position.
- In negotiations, a skilled diplomat tries to strike the golden mean that satisfies all parties.
Variants and Related Words
- Golden Ratio (n): The specific mathematical proportion (φ, approximately 1.618). This term is used specifically for the mathematical and aesthetic definition.
- The nautilus shell is a classic example of the golden ratio in nature.
- Moderation (n): The quality of avoiding extremes; a related general concept.
- Mean (n): In statistics, the average; in philosophy, the middle point or condition.
Synonyms
- Happy medium: A satisfactory compromise.
- Moderation: Restraint, avoidance of excess.
- Balance: A state of equilibrium.
- Via media (Latin): A middle way or course.
Related Idioms
- "Everything in moderation": A proverb expressing the idea of the golden mean.
- He enjoys fine food but believes in 'everything in moderation'.
- "The middle path" or "The middle way": Phrases often used interchangeably with the ethical sense of the golden mean, especially in philosophical or spiritual contexts.
- The Buddha taught that enlightenment is found by following the middle way.
Noun
- the middle between extremes
- the proportional relation between two divisions of line or two dimension of a plane figure such that short : long :: long : (short + long)