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Page 1 of 11909 · PDF PAGE 10
…arth to make one syllogism; and when we have made it, it is tenfold more the child of mystery than ourselves. We cannot here discuss the whole problem of the validity (the surface-question of the logical validity) of the syllogism; though one may throw out the hint that the doctrine of distributed middle seems to assume a knowledge of a Calculus of Infinites which is certainly beyond my own poor attain- ments, and hardly impregnable to the simple reflection that all mathematics is conventional, and not essential; relative, and not absolute. We …
1909 · PDF PAGE 12
…han the think- ing brain itself; all we can think of God or say of Him, so long as our words really represent thoughts, is less than the whole brain which thinks, and orders speech. Very good; shall we proceed by denying Him all think- able qualities, as do the heathen? All we obtain is mere negation of thought. Either He is unknowable, or He is less than we are. Then, too, that which is unknowable is unknown; and “God” or “ There is God” as an answer to our question becomes as meaningless as any other. Who are we, then? We are Spencerian Agnos…
1909 · PDF PAGE 8
…implies thought; Negatur is only a sub-section of Cogitatur. This involves, however, an axiom that the part is of the same nature as the whole; or (at the very least) an axiom that Ais A. Now, I do not wish to deny that 4 is 4, or may occa- sionally be 4. But certainly 4 7s A is a very different statement to our original Cogitatur. The proof of Cogitatur, in short, rests not upon itself but upon the validity of our logic; and if by logic we mean (as we should mean) the Code of the Laws of Thought, the irritating sceptic will have many more rema…
1909 · PDF PAGE 9
… that organ, or is there some flaw in our logic? For all depends upon our logic ; not upon the simple identity A is A only, but upon its whole structure from the question of simple propositions, enormously difficult from the moment when it occurred to the detestable genius that invented 117
1909 · PDF PAGE 21
…vastness of the series? Is it not a series of geometrical progression, with a factor positive and incalculably vast? In the light of the whole process, then, we perceive that there is no absolute value in the swing of the pendulum, though its shaft lengthen, its rate grow slower, and its sweep wider at every swing. What should interest us is the consideration of the Point from which it hangs, motionless at the height of things! We I 129