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Updated: May 17, 2025
For not only must the subject-matter be organized for immature minds unused to the formal processes of learning, but the effects of instruction upon the child's mind must constantly be watched by the teacher and interpreted with reference to further instruction. This skill cannot be attained empirically, by the cut-and-dried method, except at a frightful cost to the children.
And, indeed, all this diplomacy notwithstanding, in the desperate confusion that may follow one of these hazardous expedients, it is on the admirable good sense of the bee that man always, and almost empirically, relies; on the inexhaustible treasure of their marvellous laws and customs, on their love of peace and order, their devotion to the public weal, and fidelity to the future; on the adroit strength, the earnest disinterestedness, of their character, and, above all, on the untiring devotion with which they fulfil their duty.
Two observations stand before us representing empirically established facts: one, that in so far as a finite velocity has been measured or calculated from other observations, nothing is known about the existence or magnitude of such a velocity except within the boundaries of the dynamic realm constituted by the earth's presence in the universe; the other, that this velocity is a 'group'-velocity, that is, the velocity of the front of a light-beam in process of establishment.
It is by means of the transcendental unity of apperception that all the manifold, given in an intuition is united into a conception of the object. On this account it is called objective, and must be distinguished from the subjective unity of consciousness, which is a determination of the internal sense, by means of which the said manifold in intuition is given empirically to be so united.
Several references in the writings of ancient Greek and Latin poets prove definitely that the good results of a rotation of crops, regulated by the introduction of leguminous plants at certain stages, were empirically understood.
Empirically they were aware of certain properties exhibited by substances, and could perform certain manipulations; but, like moderns down to a very recent time, they had no real understanding of the quantitative or qualitative relations of elements.
For this reason textbooks quite rightly say that only the results drawn from these terrestrial observations have the value of empirically observed facts. Now, it is a common feature of all these experiments that by necessity they are based on an arrangement whereby a light-beam can be made to appear and disappear alternately.
For the object is in our own mind and cannot be discovered in experience; and we have only to take care that our thoughts are consistent with each other, and to avoid falling into the amphiboly of regarding our idea as a representation of an object empirically given, and therefore to be cognized according to the laws of experience.
Aspirants to a philosophic religion turn, as a rule, more hopefully nowadays towards idealistic pantheism than towards the older dualistic theism, in spite of the fact that the latter still counts able defenders. But, as I said in my first lecture, the brand of pantheism offered is hard for them to assimilate if they are lovers of facts, or empirically minded.
Only here we must never leave out of consideration that we cannot make out by any example, in other words empirically, whether there is such an imperative at all, but it is rather to be feared that all those which seem to be categorical may yet be at bottom hypothetical.
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