DIY History | Transcribe | Hevelin Fanzines | Horizons, v. 6, issue 2, whole no. 21, December 1944

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Horizons, v. 6, issue 2, whole no. 21, December 1944

Page 6

6
21 HORIZONS

Laney-Stenciled Letter: See remarks on Fantasy Amateur; curious that Daugherty should contradict Cushlamochree by singing this. Lowndes Open Letter: Sure, if but we have no assurance that others will interpret the racism matter in the method cited here. Though I'm for the proposed revision of article 12, I don't like the argument given in its favor on page 3; it may be unfair for 33 voters to speak for 61 eligibles, but is much less fair for 28 members too lazy to vote to mess up the desire of the 33. Cuslamochree: The best FAPA publication from Daugherty to date; only thing is, Walt, it just isn't cricket to comment on one mailing until the next is distributed; else it gives chaos. The red paper is a bit exasperating, my pencilled comments being almost illegible against it. Only thing objectional this time is the paragraph on Degler. Yngvi -- 1944 -- If we must have post-mailings, members might take the trouble to label them as such. Another feud, apparently; evil days are upon us all. Woe, woe, woe, woewoewoewoewoewoe.

Impressions: 1C; 2D; 3A; 4A; 5C; 6A; 7A; 8A; 9A; 10B; 11C; 12B; 13B; 14A; 16B; 17B; 18C; 19C; 20C; 21B; 22B; 23D; 24C; 25C; 26C; 27C; 28B; 29C; 30D; 31D; 32C; 33D; 34B; 35B; 36B; 37B; 38B. Editing and publishing: Watson, 1st. Searles, 2nd. Shaw, 3rd. Fiction: No award, 1st. no award, 2nd., Wright, 3rd. Article: Searles, 1st. Moskowitz, 2nd. Spencer, 3rd. Humor, no award, 1st., Spencer, 2nd, no award, 3rd. Poetry, Connor, 1st, Gray, 2nd, McDane, 3rd. Art: Watson, 1st, no award, 2nd. Wiedenbeck, 3rd. Best in mailing, Searles (Fantasy Commentator) 2nd., Stanley (Fan-Tods) 1st., Watson (cover for Sappho), 3rd. See no reason for detailing precise item for which award is made in any but the last category, and apologize for mixing up Stanley and Searles therein.
(')(')(')(')(')(')(')(')(')
On Dit

Penned Cpl. Milton A. Rothman between hymns: "Norm Stanley's repeated factorial (4444!!!!!!!!) is indeed exciting. The entire business of big numbers as explained by Kartner and Newman in "Mathematics and the Imagination" is as breath-taking as any super-scientific story by Smith or Campbell. '' The most exciting part is where Stanley is wrong in saying that 'Even Skewe's Number...is the largest number ever to be put to any use in math...' He would be correct if he said 'finite number'. For mathematicians have now brought in 'transfinite numbers', or numbers too large to be counted. '' Look at this: The googol is a large number. It is 10 ^ 100, or one with a hundred zeros after it. That is larger than the number of electrons in the universe. But it is still very small compared to the googolplex, which is one with a googol of zeros after it, or 10 ^ googol. Still greater is Skew's number, which is: 10 ^ 10 ^ 10 ^ 34. '' If we imagine the entire universe as a chessboard, and the protons on it as chessmen, and if we agree to then the total number of possible moves would be Skewe's Number. '' Large as they are, all of these are still finite numbers. Transcending all of these are the transfinite numbers, named by the first letter in the Hebrew alphabet, Aleph. '' Aleph-null is the number of integers, or as the mathematicians say it, is the class of all integers. Take your repeated factorial and put a googolplex of exclamation points after it. The results will still be a finite integer and thus will be an infinitesimal part of Aleph-null. '' Aleph-null to the Aleph-null power represents Aleph-one, which is a transfinite number, and is believed to be the class of all real numbers, sometimes called 'the cardinal of the continuum'. There are other alephs of higher and higher orders which have not yet been discovered. '' For more of this I recommend 'Mathematics and the Imagination' very highly. It's a non-technical book. Your high school algebra and geometry should suffice if you can follow arguments and proofs by the use of intelligence and logic."

Milty used the Aleph twice, but I don't know whether I'll stencil it right once!

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6 21 HORIZONS Laney-Stenciled Letter: See remarks on Fantasy Amateur; curious that Daugherty should contradict Cushlamochree by singing this. Lowndes Open Letter: Sure, if but we have no assurance that others will interpret the racism matter in the method cited here. Though I'm for the proposed revision of article 12, I don't like the argument given in its favor on page 3; it may be unfair for 33 voters to speak for 61 eligibles, but is much less fair for 28 members too lazy to vote to mess up the desire of the 33. Cuslamochree: The best FAPA publication from Daugherty to date; only thing is, Walt, it just isn't cricket to comment on one mailing until the next is distributed; else it gives chaos. The red paper is a bit exasperating, my pencilled comments being almost illegible against it. Only thing objectional this time is the paragraph on Degler. Yngvi -- 1944 -- If we must have post-mailings, members might take the trouble to label them as such. Another feud, apparently; evil days are upon us all. Woe, woe, woe, woewoewoewoewoewoe. Impressions: 1C; 2D; 3A; 4A; 5C; 6A; 7A; 8A; 9A; 10B; 11C; 12B; 13B; 14A; 16B; 17B; 18C; 19C; 20C; 21B; 22B; 23D; 24C; 25C; 26C; 27C; 28B; 29C; 30D; 31D; 32C; 33D; 34B; 35B; 36B; 37B; 38B. Editing and publishing: Watson, 1st. Searles, 2nd. Shaw, 3rd. Fiction: No award, 1st. no award, 2nd., Wright, 3rd. Article: Searles, 1st. Moskowitz, 2nd. Spencer, 3rd. Humor, no award, 1st., Spencer, 2nd, no award, 3rd. Poetry, Connor, 1st, Gray, 2nd, McDane, 3rd. Art: Watson, 1st, no award, 2nd. Wiedenbeck, 3rd. Best in mailing, Searles (Fantasy Commentator) 2nd., Stanley (Fan-Tods) 1st., Watson (cover for Sappho), 3rd. See no reason for detailing precise item for which award is made in any but the last category, and apologize for mixing up Stanley and Searles therein. (')(')(')(')(')(')(')(')(') On Dit Penned Cpl. Milton A. Rothman between hymns: "Norm Stanley's repeated factorial (4444!!!!!!!!) is indeed exciting. The entire business of big numbers as explained by Kartner and Newman in "Mathematics and the Imagination" is as breath-taking as any super-scientific story by Smith or Campbell. '' The most exciting part is where Stanley is wrong in saying that 'Even Skewe's Number...is the largest number ever to be put to any use in math...' He would be correct if he said 'finite number'. For mathematicians have now brought in 'transfinite numbers', or numbers too large to be counted. '' Look at this: The googol is a large number. It is 10 ^ 100, or one with a hundred zeros after it. That is larger than the number of electrons in the universe. But it is still very small compared to the googolplex, which is one with a googol of zeros after it, or 10 ^ googol. Still greater is Skew's number, which is: 10 ^ 10 ^ 10 ^ 34. '' If we imagine the entire universe as a chessboard, and the protons on it as chessmen, and if we agree to then the total number of possible moves would be Skewe's Number. '' Large as they are, all of these are still finite numbers. Transcending all of these are the transfinite numbers, named by the first letter in the Hebrew alphabet, Aleph. '' Aleph-null is the number of integers, or as the mathematicians say it, is the class of all integers. Take your repeated factorial and put a googolplex of exclamation points after it. The results will still be a finite integer and thus will be an infinitesimal part of Aleph-null. '' Aleph-null to the Aleph-null power represents Aleph-one, which is a transfinite number, and is believed to be the class of all real numbers, sometimes called 'the cardinal of the continuum'. There are other alephs of higher and higher orders which have not yet been discovered. '' For more of this I recommend 'Mathematics and the Imagination' very highly. It's a non-technical book. Your high school algebra and geometry should suffice if you can follow arguments and proofs by the use of intelligence and logic." Milty used the Aleph twice, but I don't know whether I'll stencil it right once!