The way I see it, Narnian magic is nothing like the magic often found in fantasy. Very few characters in Narnia have the authority to use magic, and those who try to manipulate it are the villains of the story. Magic in Narnia cannot be manipulated anymore than gravity can be. The Deep and Deeper Magic are spiritual laws which make up the fabric of the Narnian universe. They may resemble in written form human laws, but their application is very similar to the physical laws that dictate the movements of all matter and energy on our plane of existence. Just as engineers and astrophysicists can use these laws of physics to accomplish truly amazing feats, so also can those with knowledge of the laws of the spirit do things that to us are truly miraculous. Just as knowledge of physics and the natural order give people power that can be used for good or evil, so also can knowledge of the spiritual realm and "magic" be used for good or evil. The key to using these laws properly is allowing God to grant the authority to use spiritual power, which He does at His discretion. After all, He wrote all spiritual and physical laws, and He possesses all power and authority.
In the first chapter of the gospel of John, Jesus is described as the Word of God. It is by this Word that the universe was created. Colossians 1:17 says that in God all things are held together (proof of this is in the mystery of the atom's nucleus, which, according to the known laws of physics, should fly apart as the protons repel one another). God's Word is what holds the fabric of the universe together. If He were to break a single one of His promises, the universe itself would literally break as well. "All of Narnia will perish in fire and water." Spiritual law simply cannot be broken, anymore than physical laws can be broken. Chaos would ensue if the laws were ignored.
Gravity is a powerful force. All things that have mass also have gravity. The laws of physics dictate that things of smaller mass must yield to the gravity of things with greater mass. Masses of comparable size bend to one another's gravity when brought into close proximity (i.e. the earth and the moon). The closer two masses are, the more the force of gravity acts on those bodies. Gravity is a formidable obstacle to those who want to fly. But this force can be overcome by utilizing other physical laws--laws that are equal to or greater than the law of gravity; laws that have been in place since the dawn of time, just as gravity has been.
The same is true of spiritual laws. The Deep Magic has always been around and must be followed. But it is dictated by the Deeper Magic. Cause and effect for instance is both a physical and a spiritual law. Cause and effect is a component of Deep Magic. Grace is a spiritual law. Grace is a component of Deeper Magic. The law of cause and effect is of no use without the law of grace.
Previous posters used verses from Corinthians and Galatians to explain the Deep and Deeper Magic. Another really good passage is Hebrews 9 and 10, which explains the purpose of the Old Testament law. I couldn't pick out just one portion of those chapters; they're just too full of great stuff! Studying those chapters for the first time reminded me of the Deep and Deeper Magic, and that contributed to making Hebrews one of my favorite books in the Bible. There's so much meat in Hebrews! Lewis must have thought so too. I can't help but see the similarities between the spiritual structure of Narnia and what's explained in Hebrews. I have to wonder if that's one of those elements that "worked its way in of its own accord."
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"Jesus, I have no name. Allow me to bear Your name." -Richard Wurmbrand
There is nothing wrong with the discussion as far as it goes, but If we confine our discussion of Deep Magic to ONLY the LWW book we will miss the subject entirely.
Consider: why is it that the runes are written upon the stone table as deeply as a mans arm? If the Table is The Law, then you should stop right there, for Jesus was crucified by the Law, (for blasphemy, and wrongly so). Yet The Law was not the First Thing, for Jesus came before it and it is therefore a derivative thing, which Jesus fulfilled, who is with God, The source of Real Law. So the Deep Magic must likewise be greater than the Stone Table, which is an institution but not the essence just as the bill of rights codifies that which ought to be "self evident." and the tenth ammendment reminds us that "this list is not exhaustive."
Ah, so then there is more!
Clearly, the witch knew of this magic from her being present at the Foundation of the World (well, of Narnia at least.) That she recognised it AS MAGIC is also clear from Magician's Nephew, (as it is also clear that Uncle Andrew DID NOT).
There is nothing wrong with the discussion as far as it goes, but If we confine our discussion of Deep Magic to ONLY the LWW book we will miss the subject entirely.
We should see that not only "moral law" but also "physical law" is subsumed under the concept of Deep Magic. and this is the idea which my friends have had whenever the discussion has come up, it is the sense in which computer hackers use it: deep magic lies at the very foundations of reality - "Did you think I wouldn't obey my Own Rules" Aslan points out to Lucy after she reads the spell to make visible the invisible.
"Should the Stone Table, Deep Magic, and Deeper Magic be considered from a Christian Perspective?"
This is no longer possible for most of us for we have fallen into ignorance like Uncle Andrew.
But also remember Lewis' comment about "sneaking truth past the watchful Uruloki at the sunday school door". There REALLY IS deep magic at work in the world. Were there not, why would any of us feel that there is? But here is where Lewis must stop or risk ridicule. For Science was already dead in the days of James Clerk Maxwell and Oliver Lodge, decades before Lewis was born.
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It is therefore not deep magic that needs to be interpreted in light of christianity, but quite the other way round, FOR IN OUR DAY christianity has forgotten that science has become willfully blind to the fact that Deep Magic exists, facts known to Michael Faraday, Andrew Crosse, and to James Clerk Maxwell, but largely ignored today even after they published "the secret life of plants" back in the 1960's. Science suffers from schizophrenia denial, and fraud. And christianity will catch the same disease because we are all too ready to let orthodox science tell us what is real, in spite of what our senses and hearts tell us. Like the dwarfs on the other side of the stable door in Last Battle, apostasy and narrow mindedness have blinded us to heaven.