Sentence examples for depends rigidly from inspiring English sources

We have mentioned one example of rigid existential dependence, namely, sets ontologically depending on their members (more precisely, a set depends rigidly on the very members it has, i.e., any change in a set's members will change the set itself).

Following this notation, we can formalize rigid existential dependence as follows: "□(Ex → Ey)", which can be read as "x rigidly depends for its existence on y", or alternatively "x rigidly necessitates y".

"It all depends on how rigidly you want to read the law," he replied, according to an audio recording from the Distressed Real Estate Summit on May 13 at a downtown hotel.

Alternatively, a proponent of the modal-existential account could simply bite the bullet and insist that every contingent entity does rigidly depend for its existence on necessary existents.

So object x is strongly rigidly dependent on object y if x depends for its existence on y and y is not a proper part of x.

An immediate implication of (ID-EX) in conjunction with (EDR) is that if x depends for its identity upon y, then x is rigidly existentially dependent upon y (although not necessarily vice versa, of course).

One is hierarchical, rigidly organized, likes spit and polish, and depends on a lot of grunts to do most of the work.

The play depends upon an intimate bond between actor and audience hard to achieve in this rigidly geometrical theatre.

To be successful, the approach depends on well-organized dialogue between decision makers at many levels, which would be culture shock for the rigidly hierarchical executive branch.

Everything depends".

It depends.