The Weight of Glory (AD 1942) and Letters to Malcolm (AD 1964) are both Christian non-fiction works by CS Lewis, probably the best Christian writer of the 20th century. They are both written in his easy style — though more like one believer exchanging notes with another rather than tools for conversion — and both are relatively short. But more than a generation separate their publications, and in that time Lewis honed his craft. Yet they are the work of the same man. They are reflections — transpositions or projections — of the same mind.
The cover for Letters to Malcolm shown above contains part of the Flower of Life, one of the many shadows a hypercube onto a 2 dimensional surface. A hypercube, when unfolded onto 3 dimensions, makes the shape of a cross. Our human brains are not evolved to understand 4-Dimensional entities, so all the graphics in this post are different ways of translating what a cube of cubes means onto a computer page. In both of these books, C.S. Lewis tries to project man’s relationship with God, or at least the hyperdimensional nature of God’s presence, onto paper.
The Weight of Glory is a collection of nine lectures, but the central core is #4, “Transposition,” an accessible guide to an abstract theological issue. Letters to Malcolm may be the finest writing Lewis ever produced — it only appears to be straight-forward, but is as strong and subversive a defense of Christianity as St Augustine’s Confessions (AD 400).

The most striking line of St Augustine’s writings, to Christians who nowadays bother to read it, is probably this:
Therefore will I speak before Thee, O Lord, what is true, when ignorant men and infidels (for the initiating and gaining of whom the sacraments of initiation and great works of miracles are necessary, which we believe to be signified under the name of “fishes” and “whales”) undertake that Thy servants should be bodily refreshed, or should be otherwise succoured for this present life, although they may be ignorant wherefore this is to be done, and to what end; neither do the former feed the latter, nor the latter the former; for neither do the one perform these things through a holy and right intent, nor do the other rejoice in the gifts of those who behold not as yet the fruit
The context for the bolded section is the chief difficulty that St Augustine had in converting to Christianity: how could an educated, modern world accept the literal truth of the Bible, with its bizarre miracles (Jonah being swallowed by a whale; Christ feeding the multitude with a few fishes and loaves). Augustine’s solution was that these “names” in fact “signify” sacramental truths. While Augustine’s writing is latinate and complex, it appears he does not believe in the literal truth of either miracle.
Without getting into specific historical claims (the general pattern of Biblical literature implies to me the The Book of Jonah is written as a comedy, or at least a satire), Lewis introduces the concept of “transposition.” Lewis means by transposition what geometers mean by “projection” — the translation of an object from a higher dimension to a lower one. For instance, if you had a cube, you could project (or in Lewis’s term, “transpose”) is into a square — that is one correct way of viewing a cube on flat paper. Or you could use perspective, and show that cube as a sequence of angled rectangles. Lewis gives an example of projecting/transposing a beach onto paper by drawing it with pencils.
Thus, lines like “thrones and dominions,” or “on the right hand of the Father,” or (perhaps) “fishes” and “whales” are projects into a lower-dimensional space of higher-dimensional reality. Lewis elides the dimensionality at which this stops. For instance, is it the case that fishes and whales are 3D dimensional projections of higher-dimensionality reality, or (to follow Augustine) are the names fishes and whales themselves the lower-dimensional projection.
“Transposition” is the hermeneutic key of The Weight of Glory. But it’s also the key I think, to Letters to Malcolm, an extremely readable book on the importance of prayer. Transposition matters in thinking about the nature of time. And it matters in thinking about the nature of Scripture.
Christians are told to pray for their “daily bread.” While “thy will be done” might be translated as “… if it’s actually a good idea,” most of us have our own ideas that we are encouraged to pray for. Peace or victory, justice or forgiveness, a raise or a successful relationship. But in many cases a “successful” prayer would require not simply changing the future, but also the past. For instance, if you receive a letter from a lawyer, and you pray it is good news, the only way that pray could “work” is if the prayer succeeded in changing the the past event of composing that letter.
Atheists accuse Christians of thinking they have a a “friend in the sky.” But it is more accurate to say the sky is in Him. In the same way, urgent prayers do not hope for a friendly response in time — they hope for a response for He whom Time is within. Time is not absolute reality, God is.
Let’s put it another way. We are used to logical thinking, such that if something is a square it cannot be a triangle, or a point. But a pyramid is a square on its bottom, a triangle on its side, and a point on its top. These lower-dimensional shapes are projected (or Lewis would say, transposed) from the higher-dimensional object of a pyramid. The drawing of a pyramid on the dollar bill is just one of many projections of a pyramid, including just one of the possibly projections or transpositions of its shapes. Likewise, the hypercube when further unrolled (transposed) onto 3 dimensional space is a cross, and when projected (transposed) head-on, it appears to be composed of five squares. Or any of the other shapes in this blog post.
So when we pray for a miracle, in the past, present or future, we are praying for the projection of time that we see to be in conformance with our request. We are praying for time to be rotated in a specific way, in the way we might rotate a model pyramid to see the triangle, or the square, or the point. And (given the trickiness in rotating all of space-time to change the plane of reality), the phrase “Thy Will be Done” might be understood as “If that’s actually a good idea.”
Which is weighty and glorious. Until He answers our prayers with “No,” or “Not yet.” Then we remember that the angels are like fire, and He is like a bull.
I read Letters to Malcolm and The Weight of Glory in their Audible editions.