Pronunciation: [ˈɛks tˈɛnʃənə͡l] (IPA) 
"Ex tensional" is spelled with the IPA phonetic transcription /ɛks tɛnʃənəl/. The first part "ex" is pronounced with the /ɛks/ sound, as in "extra" or "exhale". The second part, "tensional," is pronounced with the /tɛnʃənəl/ sound, with the stress on the second syllable. The word refers to something related to tension, extending or stretching, and is commonly used in the context of linguistics or philosophy.
The term "extensional" is an adjective derived from the noun "extension." It pertains to the concept of extension, which refers to the act or process of extending or stretching something, both in the physical and metaphorical sense. In a dictionary context, "extensional" primarily relates to the logic or philosophy of extensionality.
In logic, extensionality refers to the equivalence of two predicates or statements that have the same range or extension. It implies that two predicates are considered equal if they are true for the same set of objects or have the same meaning. In this sense, "extensional" can be used to describe logical systems, theories, or formulas that adhere to the principle of extensionality.
Furthermore, in philosophy, "extensional" is associated with the view that the meaning of a term or concept resides solely in its extension or actual instances, as opposed to its intension or underlying concepts, properties, or definitions. An extensional approach emphasizes the concrete objects or instances that fall under a specific concept rather than abstract definitions.
In summary, "extensional" relates to the notions of stretching, equivalence in logic, and the emphasis on actual instances in philosophy. Its application spans the areas of logic, philosophy, and other fields that deal with the understanding and representation of concepts and predicates.
The word "extensional" derives from the noun "extension", which has its roots in the Latin word "extensio", meaning "stretching out" or "lengthening". It is formed by combining the prefix "ex-" meaning "out" or "beyond" with the Latin word "tensio", meaning "stretching" or "tension". The suffix "-al" is added to "extension" to form "extensional", which means "relating to extension". In general, the term "extensional" refers to something that pertains to extension, elongation, or the act of stretching out.
