In thus venturing to criticise the Church, I should like to make it clear that I only do so because I am convinced that the Church is a vital and indispensable part of human life, and because I wish to see her influence increased and extended rather than diminished. If I thought otherwise I should not take the trouble even to criticise. So far I have said nothing about the religious significance of the four-dimensional hypothesis as such; considered that is to say as to its four-dimensionality and not merely in its capacity as a hypothesis. The reason for this omission is simply that I do not consider that there is any such significance. In the main concept of existence in four-dimensional space after death there is, so far as I can see, nothing either to contradict or to confirm anything taught by the Church except the bare fact of survival which both affirm. I have carefully omitted all reference to the descriptions of post-mortem existence which have been obtained from time to time through mediumistic sources. Any such discussion would be both lengthy and out of place as it would involve a detailed critical examination of both the authenticity and interpretation of the pronouncements. The only point about the four-dimensional hypothesis as such which I think at all likely to be called in question from the religious point of view, is that involved in the suggestion that Consciousness persists after death, not in the form of "pure essence" but embodied in some form of vehicle. But this is a matter which is fully included under the general arguments I adduced in favour of the legitimacy of investigating the "Cosmic mechanism" to the utmost and there seems to be no need for a separate re-discussion here. It is interesting to note however that a large number of the early Christian thinkers adhered to the view that "the soul" had some sort of material or quasi-material vehicle. A number of quotations on the subject are given in M. Leon Denis' book "Christianity and Spiritualism." CHAPTER IX SUMMARY AND CONCLUSION I will bring this work to a close by a brief recapitulation of its more salient points. A dimension is defined as "an independent direction in space." A flat surface is two-dimensional and the space we know is three-dimensional. The direction of the fourth dimension must be at right angles to every direction which can be drawn in our space and four-dimensional space is such that through any point in it, four, and only four, lines can be drawn mutually at right angles. From every point in our space a line can be drawn running off in the direction of four space. Consequently every point in our space is absolutely accessible from the direction of the fourth dimension. The best way of drawing conclusions as to the properties of four space is by means of the analogy of the two-dimensional world; since four space is to three space as the latter is to two space.