the cubic cross moving in a globe. These notions, which are rendered more intelligible by a diagram, have been handed on to our own days in Masonic initiations, and they are a perfect justification of the name attributed to the modern societies in question, for they are also the root-principles of architecture and the science of building. The Delians thought to answer the geometrical question by reducing their multiplication by half, but they had already obtained eight times the volume of their cubic stone. For the rest, the number of their experiments may be extended at will, for the story itself is probably a problem set to his disciples by Plato. If the utterance of the oracle has to be taken as a fact, we can find a still deeper meaning in it; to double the cubic stone is to extract the duad from unity, form from idea, action from thought. It is to realise in the world the exactitude of eternal mathematics, to establish politics on the basis of exact sciences, to harmonise religious dogma with the philosophy of numbers. Plato has more eloquence but less depth than Pythagoras; he aspires to reconcile the philosophy of logicians with the immutable dogmas of seers; he does not seek to vulgarise but would reconstruct science. So was his philosophy destined at a later date to provide dawning Christianity with theories prepared beforehand and with vivifying doctrines. Notwithstanding, however, that he based his theorems on mathematics, Plato was poet rather than geometrician; he was rich in harmonious forms and was prodigal of marvellous hypotheses. Aristotle, who was a calculating genius exclusively, referred everything to debate in the schools; he made everything subject to the demonstrations of numeral evolutions and the logic of calculations. Excluding the faith of Platonism, he sought to prove all and likewise to comprehend all in his categories; he turned the triad into syllogism and the binary into enthymeme. For him the chain of being became a _sorites_. He reduced everything to an abstraction and reasoned on everything; being itself passed into an abstraction in his process and was lost amidst the hypotheses of ontology. Plato was destined to inspire the Fathers of the Church; Aristotle to be the master of mediæval scholastics; God knows what clouds gathered about this logic which had no faith in anything and yet set out to explain all. A second Babel was in plan and another confusion of tongues was at no far distance. Being is being and in being is the reason of being. In the beginning is the Word and the Word, or Logos, is logic formulated in speech, or spoken reason. The Word is in God and the Word is God Himself manifested to intelligence. But this is precisely a truth which exceeds all philosophies and is that, also precisely, which must be believed, under the penalty of knowing nothing and falling back into the irrational doubt of Pyrrho. As guardian of faith, the priesthood rests entirely on this ground of