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What is a coextension?

What is a coextension? Here are some definitions.

Noun
  1. The act of extending equally, or the state of being equally extended.
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Examples
Coextension theory states that the mind is united to the body in so far as it is coextended with the body in being whole in the whole and whole in the parts.
In the last three verses all that is highest and simplest in the psalms meets and we witness the coexistence, the coextension of prayer and of spiritual and religious experience.
Although necessary coextension may be the most-discussed candidate identity condition for properties, many realists reject it because it doesn't comport well with the explanations they want to develop.

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