214 CONCLUSION. 



Since now the twelve elements specified actually do so, 

 notwithstanding this extraordinary minute chance, they do 

 so because *it is a Laiv of Nature. 



We have not referred specially to the few cases (at most 

 5 of 50 fairly known) which terminate in .50 instead of in 

 .00, as do chlorine and copper. 



In this case, the demonstration remains the same exactly, 

 provided to either side there is the same distance of half a 

 unit to the beginning of the next; in other words, the next 

 full number must be distant i% full units either way. 



We may also express this condition by saying that where 

 an exact half atomic weight occurs, we can only have one 

 element in an interval of three units between the neighbor- 

 ing two. 



Such is actually the case in every instance ; in fact 

 ordinarily the distance is even greater. Thus S 32 and K 39 

 are the nearest elements in atomic weight on either side of 

 Chlorine, 35.5. 



Why we did not - Select " the Elements. 



The possibility that the coincidence established by us as 

 a fact, might be a mere accident, is absolutely none. 



Now, we did not select the twelve elements; and if any 

 one were to try it he would have i oooooo oooooo coocoo 

 ooocoo against one to fail. He would fail unless it were a 

 fact of nature; a law!' 



No man of any mathematical sense would think of such 

 a possibility of (i selection." 



To find a single needle in a haystack covering the entire 

 United States, would be a mere child's play compared to 

 such a selection. 



I really suppose that even Sir William Crookes, great 

 expert as he is supposed to be, would not undertake to select 

 or find a needle in such a haystack, which I beg him to 

 believe, would be several times* as large as all England and 

 Wales, with even Scotland and Ireland thrown in. 



* Fully thirty times. 



