It needs but half an eye to see in these latter days that science, the Grand Revelator of modern Western culture, has reached, without having intended to, a frontier. Either it must bury its dead, close its ranks, and go forward into a landscape of increasing strangeness, replete with things shocking to a culture-trammeled understanding, or it must become, in Claude Houghton's expressive phrase, the plagiarist of its own past. The frontier was foreseen in principle very long ago, and given a name that has descended to our day clouded with myth. That name is Babel. For science's long and heroic effort to be strictly factual has at last brought it into entanglement with the unsuspected facts of the linguistic order. These facts the older classical science had never admitted, confronted, or understood as facts. Instead they had entered its house by the back door and had been taken for the substance of Reason itself.
Benjamin Lee Whorf
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The fundamental maxim of those who stand at the head of this Age, and therefore the principle of the Age, is this,-to accept nothing as really existing or obligatory, but that which they can understand and clearly comprehend. With regard to this fundamental principle, as we have now declared and adopted it without farther definition or limitation, this third Age is precisely similar to that which is to follow it, the fourth, or age of Reason as Science,-and by virtue of this similarity prepares the way for it. Before the tribunal of Science, too, nothing is accepted but the Conceivable. Only in the application of the principle there is this difference between the two Ages,-that the third, which we shall shortly name that of Empty Freedom, makes its fixed and previously acquired conceptions the measure of existence; while the fourth-that of Science-on the contrary, makes existence the measure, not of its acquired, but of its desiderated beliefs.
Johann Gottlieb Fichte
The whole world has its eye to day on London. The whole world is represented in London, and they are all coming here to be with us in what, to the vast majority of our people, will be a period of rejoicing for many days, culminating in that age-long service in the Abbey a week to-day. In the Abbey on this day week our young King and his Queen, who were called suddenly and unexpectedly to the most tremendous position on earth, will kneel and dedicate themselves to the service of their people, a service which can only be ended by death. I appeal to that handful of men with whom rests peace or war to give the best present to the country that could be given at that moment, to do the one thing which would rejoice the hearts of all the people who love this country, that is, to rend and dissipate this dark cloud which has gathered over us, and show the people of the world that this democracy can still at least practise the arts of peace in a world of strife.
Stanley Baldwin
So much of modern mathematical work is obviously on the border-line of logic, so much of modern logic is symbolic and formal, that the very close relationship of logic and mathematics has become obvious to every instructed student. The proof of their identity is, of course, a matter of detail: starting with premisses which would be universally admitted to belong to logic, and arriving by deduction at results which as obviously belong to mathematics, we find that there is no point at which a sharp line can be drawn, with logic to the left and mathematics to the right. If there are still those who do not admit the identity of logic and mathematics, we may challenge them to indicate at what point, in the successive definitions and deductions of Principia Mathematica, they consider that logic ends and mathematics begins. It will then be obvious that any answer must be quite arbitrary.
Bertrand Russell