EXTENSIONALITY

Etymology

Noun

extensionality (usually uncountable, plural extensionalities)

(philosophy) 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.

(mathematics, functional analysis) 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.

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

Source: Wiktionary



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Word of the Day

11 March 2025

CATECHISM

(noun) an elementary book summarizing the principles of a Christian religion; written as questions and answers


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Coffee Trivia

The earliest credible evidence of coffee-drinking as the modern beverage appeared in modern-day Yemen. In the middle of the 15th century in Sufi shrines where coffee seeds were first roasted and brewed for drinking. The Yemenis procured the coffee beans from the Ethiopian Highlands.

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