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What is an intension?

What is an intension? Here are some definitions.

Noun
  1. intensity or the act of becoming intense.
  2. (logic) Any property or quality connoted by a word, phrase or other symbol, contrasted to actual instances in the real world to which the term applies.
  3. (dated) A straining, stretching, or bending; the state of being strained.
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Examples
Typically, the intension states necessary and sufficient conditions, or conjunctions of properties, that must be present for an object to belong to the extension.
The intension of such files is not to update the population of units or the information about the units when changes occur.
Medieval theories of ratios and proportions and of the intension and remission of forms were applied to problems of motion.
The extension and intension of terms has been referred to in the previous chapter.
From this arises the distinctive terms known as the content, extension and intension of concepts, respectively.
This alarming fiction shows us the documentation methods and the intension of spyings in previous Eastern Germany.

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