"necessity of connection" is correct and usable in written English.
It is a phrase used to describe the importance of having some type of link or association between two things. For example, you might say that "the necessity of connection between different ideas is what makes effective problem solving possible."
Likewise, the iron gate where Wei waits all day for the TV station director reflects the barriers poor people face to survival in the city, and the necessity of connections to avoid becoming an "outsider" in the city.
It might be because the necessity of the connection – say the connection between something being good and it providing reasons – is supposed to be explained by the idea that the very concept of something being good contains within it (that is, has internal to it) the requirement that whatever satisfies the concepts provides reasons.
In "In the Wake" Mr. Petterson demonstrates, through his own commanding art, the solace of the written word as well as the necessity of human connection.
Moore observes, however, that the step from (1) to (2) is invalid; it confuses the necessity of a connection with the necessity of the consequent.
Nonetheless, absent insight into the necessity of the connection between neural properties and qualitative properties, we are arguably in an explanatory position similar to traditional epiphenomenalism.
Depending on which version a theorist defends, different versions of non-cognitivism can explain the necessity of the connection, although not all versions can be easily explained using non-cognitivist resources.
It is this smaller space of worlds which is relevant for our question of the necessity of causal connections.
We're treated to a kooky, but potent reminder of the profound necessity for connection.
While the argument from the necessity of the causal connection yields the result that only an omnipotent being can be a cause, the argument here is that only that being which creates/conserves the world can cause various bodily and mental states.
