What do we mean by "higher meaning"?
Symbols (such as words or phrases) are meaningless without some association with contexts (such as definitions). The contexts give the symbol its meaning. A word can be used in a number of contexts that correspond to its obvious, literal sense.
How "high" a meaning is depends on the importance, or value, of its context. In order to measure the relative height of corresponding meanings we need to agree upon a value scale. Of course that is impossible. Not everyone can agree on what is of most value. However, we can be more objective if we take a global view and consider what is most important to the welfare of the largest number of people. Better yet, let's take a cosmic view. The Creator of heaven and earth set the values by creating a universal heaven composed of angelic humans from all globes.
The context values thus proposed in descending order of height are as follows:
in the highest.
What do we mean by "correspondence"?
The term "correspondence" of two symbolic meanings is used frequently in this Higher Meaning web site and generally refers to the mutual symmetry, harmony, correlation, and communication of the symbolic contexts. For more discussion on definitions of correspondence please see the following:
Swedenborg, Teachings about Correspondences,
from The New Jerusalem and its Heavenly Doctrine Index.