extensional

Meanings

• adjective

  Relating to or involving the extension or application of something, especially a concept or theory.

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Variants

List of all variants of extensional that leads to same result
extensional , extensionalities , extensionality , extensionally

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Etymology

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

From the Latin word 'extendere' which means 'to stretch out, expand'

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Trivia

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

1. The concept of extensionality is a fundamental principle in set theory and logic.

2. Extensionality is closely related to the concept of comprehension, which states that for every property, there exists a set of all objects that have that property.

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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. Intensionality: The opposite concept to extensionality, where sets are defined by their properties rather than their elements.

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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.

In mathematics, 'extensionality' is a property of sets that states that two sets are equal if and only if they have the same elements.

How to Memorize "extensional"

1. visualize
   

   - Visualize the concept of extending or applying something, such as a theory or a concept, to new situations or contexts.

2. associate
   

   - Associate the word 'extensional' with the idea of expanding or broadening the scope of something.

3. mnemonics
   

   - Use the mnemonic 'Extend it, apply it' to remember the meaning of 'extensional'.

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