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extensionality

noun

Etymology

From extensional + -ity.

  1. derived from extensiō
  2. derived from estension
  3. inherited from extensioun
  4. suffixed as extensional — “extension + al”
  5. suffixed as extensionality — “extensional + ity”

Definitions

  1. The principle that objects are equal if and only if their observed properties are the…

    The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.

  2. The principle that functions are equal if and only if they operate on the same domain and…

    The principle that functions are equal if and only if they operate on the same domain and for any given element of the domain the result of each of the functions is the same.

  3. The principle, codified in the axiom of extensionality, that sets are equal if and only…

    The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.

The neighborhood

Vish — recursive loop

No curated loop yet for extensionality. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA