incommensurability

Meanings

• Noun

  The lack of a common measure or standard between two or more things.

  - "The inches and centimeters are incommensurable units for measuring length."
  - "Despite their similarities, the religions of Christianity and Islam are incommensurably different."

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Variants

List of all variants of incommensurability that leads to same result
incommensurabilities , incommensurability , incommensurable , incommensurables , incommensurably

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Etymology

origin and the way in which meanings have changed throughout history.

From the Latin incommensurabilis, meaning not able to be measured together.

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Trivia

Any details, considerations, events or pieces of information regarding the word

1. Incommensurability is a fundamental concept in mathematics, and it was first formally recognized by the ancient Greek mathematician Pythagoras.

2. The incommensurability of π and the square root of 2 led to the development of irrational numbers.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Isomorphism: Isomorphism is the relationship between two structures where there exists a bijection (a one-to-one correspondence) between their elements. Incommensurability is the opposite of isomorphism.

2. Commensurability: Commensurability is the ability to be measured or compared using a common standard. Incommensurability is the lack of this ability.

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Culture

Any cultural, historical, or symbolic significance of the word. Explore how the word has been used in literature, art, music, or other forms of expression.

Incommensurability is a concept that has been explored in various fields, including mathematics, philosophy, and literature. In mathematics, it refers to the lack of a common measure between two quantities. In philosophy, it is used to describe the inability to compare or understand concepts that belong to different domains. In literature, incommensurability is often used to highlight the differences between characters or ideas.

How to Memorize "incommensurability"

1. visualize
   

   - Imagine two rulers, one marked in inches and the other in centimeters. The lack of a common measurement between the two makes them incommensurable.

2. associate
   

   - Associate the word incommensurability with the concept of difference or disparity.

3. mnemonics
   

   - Use the mnemonic 'Inches and centimeters, never commensurate, that's incommensurability's fate' to remember the definition.

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