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CALENDAR"· :'

Week--of Dec 15~through 2'~

Dance Class

Tuesday, Dec 16 ·

3:00 7:00 Bible Class;.Mr Kaplan

Backstage FSK McDowell 21 Coffee Shop FSK Lobby McDowell 2·!+.

7:30 8:00 9:30

Go Club; C Stoll, roti buff All College Christmas Party Delegate Council Meeting ·

Wednesda:z'.:, Dec lZ

4:15 Elementary Hebrew; Mr Finch McDmvell 21 1:00-3:30 CAMPUS JOB PAYDAY Business Office 4:30 Org-Chem Class; Mr Sarkissian McDowell 24

Thursda;y, Dec 18 WINTER VACATION BEGINS

A note on the cover of last week's COI.r­LEGIAN:

In Montaigne's essay, "Of Some Verses of Virgil", the story of Tiresias having been both a man and a woman is touched upon. I told the story to my preceptees. At least one of them was involved in the motion leading to the cover picture.

The following is taken from p 1078 of The Oxford Classical Dictionary, Seco~d Edition. Story (b) is the relevant one. I added for my preceptees some further details given to me by N Steele, a mem­ber of the Classical Languages depart­ment at DePauw University many years ago--when I was an instructor of Chem­istry there. The Hyginus is available in our library in a Latin 1681 edition.

TIRESIAS (T<1p<11ia~) •. a legendary blind Thehan scer, so wise that even his ghost still has its wits (<f.pi•·H, cf. SOUL) and is.not a mere phantom (Od.~·sse.\' 10. 493-5). Later kg.-nds account fnr his wisdom and hlindness chiefly thus: (a) lie saw Athena bathing; since his mother was her frirnd, she did not cause his drath, but blindt·d him and gave him the power of prophecy by way of compensation (Callim. Lav. Pall. 57 ff.). (h) lie one day saw snakes coupling and struck them with his stick, whereat he became a womm1; later the same thing happt•m•d again and he turned into a man. Being asked by Zeus and Hera to settle a dispute as to which sex had more pleasure of Ion', ht> dtTidt•d for the female; I !era was angrv and blinded him, hut Zeus rccompcnsl·d him hy givin~ him long life and power of prophecy. So llyginus, Fab. 75, sec Rose, ad loc His ad\'1cc was sought throughout the times of the I .ahdnc1dae, and he finally died after the evacuation of Thdws when besieged by the Epigoni, frnm drinking of the spring Tilphussa (Apollod. 3. 84, cf. Athenaeus 41 e). IL J, R.

Harry L Golding

-<.hrui.sa,so./([, -MorKio.ff Tun-0do.y

.8iP+ ~11s~<ls -nu tu rt.I f oa<Js for' b4 ki n3 -piir+y Poods

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main st. annapolis 269-1770

following is taken from Nietzsche's 1 !£ Power .(pp ~4 in my Ludivici

ation which does not number the sms). The occasion for my submit~

it is student comment in recent r conf~rences about the Ancient and al way'-Of inquiring and the Modern splayed by Descartes, Newton, et

distinguishing feature of our enth century is not the triumph of e, but the triumph of the scientif­

thod over science. • • •

most valuable knowledge is always ered last: but the most valuable dge consists of methods.

• • • ;methods, all the hypotheses on the science of our day depends, eated with the profoundest con­or centuries: on their account a d to be banished from the socie­

ectable people--he was held "enemy of God~"' a reviler of st ideal, a madman. the whole pathos of mankind

us,--our notion of what "truth" to be, of what the service of ought to be, our objectivity, our , our calm, cautious and distrust­

er were altogether despicable ••• om, that which has kept men back s an aesthetic taste: they be-in the picturesque effect of what they demanded of the scien­

as, that he should make a strong to their imagination. the above, it would almost seem

the very reverse had been achieved, . sudden jump had been made: as a of fact, the schooling which the

erboles afforded, gradually d the way for that milder form of Which at last became incarnate in en tific man ••• ientious in small things, the ntrol of the religious man, was a tory school for the scientific r, as was also, in a very pre­sense, the attitude of mind which man ~ problems seriously, ir­ve of what personal advantage he ve from them •••

Harry L Golding

3 The couple in .lP5 Campbell, Kris Shapar

and Marie Toler, . .wish to inform the comm­unity at this institution of their impend­ing separation and divorce. This is due, among other reasons, to too much Monty Py­thon on the one side and to too much gui­tar on the other.

The terms of the separation are as fol­lows: Ms Shapar is to· have custody of room 105 while Ms Toler is to seek quar­ters elsewhere. Ms Toler will retain oc­casional visiting rights on Ms Shapar's· history books and her Beethoven and Bach collections. In addition Ms Shapar agrees to furnish Ms Toler with identification of materials borrowed from the Music Li­brary. Every month of Sundays Ms Shapar may visit with Ms Toler's Yeats collection and with her Albert Schweitzer albums. · Ms Shapar retains ~ossession of the bot;tlc of Vitamin C subject to the provision that Ms Taler's daily needs be satisfied until such time as she shall be able to purchase her own supply.

Sympathies should be sent to Ms Oggins and Ms Colatrella, 109 Campbell. ·

We "loved not wisely, but too well."

Ms. Shaper Ms. Toler

hava_,,- a . p~t V<A~tlo~

Rala•t de la Ui!I WINE AND CHEESE

. , 51 V\lest Street -Annapolis 267-8066. Daily10-6

••• I do hold it, in the royal order­ing or gardens, there ought to be gardens for all the months in the year· in which severally things of beauty may be then in season. Far December, and January, and the latter part of November, you must take such things as are green all winter: Holly; ivy; bays; juniper; cypress­trees; yew; pine-apple-trees; '.ir­trees; rosemary; lavender; peri­winkle, the white, the purple, and the blue· germander; flags; orange­tre?.s; l~mon-trees; and myrtl~s, if they be stoved; and sweet marJoram, warm set. There followeth, for the latter part of January and February, the mezeremn-tree, which then blossoms; crocus vernus, both the yellow and the grey; primroses; anemo~es; t~e early tulippa; hyacinthus orientalis; cha chamairis; fritellaria. For March, there come violets, specially the single blue which gre the earliest; the yellow daffodil; the daisy; the almond-tre~ in blossom; the peach­tree in blossom; the carnelian-tree in blossom; sweet-briar. In April follow the double white violet; the wall-flower; the stock-gilliflower; the cowslip· flower-de-lices, and lilies of ail natures; rosemary-flowersj the tulippa; the double peony; the . pale daffodil; the French honeysuckle, the cherry-tree in blossom; the damson and plum-trees in blossom; the white thorn in leaf; the lilac-tree. In May and June come pin~s of all sorts, specially the blush-pink; roses of all kinds, except the musk, which comes later; honeysuckles; straw­berries; bugloss; columbine; the French and African marigold; cher~y-tree in fruit; ribes; fi~s in fruit; rasps; vine-flowers; ~avendeT ~~ flowers; the sweet satyrian, with the white flower· herba muscaria; lilium conval­lium; the apple-tree in blossom .. In. July cp..e gilliflowers of ~11 variet:es; musk-rooes· the lime-tree in blossom, early pear~ and plums in fruit; jennet­ings, codlins. In August come pl~ms . of all sorts in fruit; pears; apricots,

AAPPY 1-K>UWS· · Laurence LCO

tJ maruLam aue annaoous. rn:J. zl.40t

IO. 2(:J)-~~

of all sorts in fruit; pears; apricocks; berberries; filberds; musk-melons; monks-hoods, of all colors. In September come grapes; apples; poppies of all color~; peach2s; melocotones; nectarines; carnelians; wArdens; quinces. In . OctobP.r and the be9inning of Novem-ber come services; medlars; bullac roses cut or removed to come late; hol~y-hocks; and such like. These particul3rs are for the climate.of London; but my meaning is perce~ved that V!JU may have perpetual spring' as the place affords.

Sir Francis

Submitted by Arthur Kungle

Address Changes

Phil Reissman 202 East Mike Berger 404 East Pinkney David Woolwine 306 Campbell Philip StorrJ Wimbledon Farms,

and Rt 3, Annapolis Byron Truax Owen Goldin 202 Randall Tom Griffin 102 Pac a James Black 102 Pac a Stephen Sharkey 303 Randall Charles Hurt 303 Randall Marie Toler 113 Campbell Isabel Whiston 115 Campbell David Doremus 1 Cathedral St,

263-5834

FOR 11E RECORD

S7 WIST tTUIT

One lloclt Off Church Circle

at the Corner of Wftt St. & Cathedral

261 tM

Af!INAl'Ol.IS' ONlY fUtl. UNE. RILL-TIM( TAPE & IKOIO STOIE ....... _. ....... .,~_..., .......................

ng to the exlgencies of the College tivn~ Office'G Calendar, a..~yone who s to io ci. one-a~t here this year and s ~ t pub1 icized in the Calendai~ will

to contact us -the Dwarf Committee m·e January 9th.- We are (remember?) Clement, Peter ,Janssen, Pam Lobdell.­up, future thes-ps!

-----~-

.

;~Q~ h1

DER Clement Big Dwarf

~\

5 MATHEMATICS

Are there pe~ple (students or faculty) interested in learning the theory of in­tegration (measure of volume} due to Henri Lebesgue, which superseded Riemann's theory 75 years ago? It is beautiful in itself, and underlies much of modern pure and ap_t;lied mathematics--for example, probability and statistics. It is a graat idea if ever there was one. I offer tb­lead the reading of a short book on the subject during the second semester. This reading would be.a lot of hard work, and 'Nould presuppose a knowledge of basic cal­culus, including epsilon-delta ideas anti" the ordinary (Riemann) integral of a con­tinuous function.

If you 3.re interested, come t~ room 209 at 7 ::15 pm- on 'Nednesday, Dec ... 17, or speak to me, before then if possible• ·

Michael Comenetz Kmploymen t ~

1975 Com:nuni ty Career Opportunity Con­ferences are scheduled during the Christlllas vacation. These conferences are designed to help college students -especially seniors -explore careers available in their home states.

'!'his is an excellent opportunity to meet potential employers and explore ca­reer possibilities. Conferences are held in Connecticut, Indiana, Maryland,. New Jersey, North Carolina, Ohio, Pennsylva­nia, :md Virginia. See me f~r specific .; !"!f0rmation.

Brenda Robertson McDowell 22

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71

Of God's Jokes, Toys, and Christmas Trees

JAMES V. SCHALL

"A.'", Ri:l., 'educatioo~l' toys really educational?" Such is a question posed in a promotional advertisement for Saturday Review I World. But it is the wrong question. What should be asked is this: "Are 'educational' toys really toys?" This is the more profound inquiry, the one which most quickly brings us to the heart of those joyous and penetrating notions that are the very ground of our hope and our affection.

For it is the concept of a toy, of a thing made merely to be fascinating, that comes closest to touching the mystery of . our strange worldly exist­ence. Toys are not. made for the purpose of education: Rather, it is Qearer. tq .. tPe .truth .1':6 gay' that education is for the purpose of enabling us to play with toys~tho~git: thank goodness, this capacity needs little.education. Eq~catio'h is ever ·but a means, a preparation to arrive at something else, truth .or technique. The question about toys already transcends the learning process.' Indeed, there is something mystical about a t~y, something that touches the very spirit of the divine.

Neither George Bernard Shaw nor Count Leo Tolstoy was· known as an apt theologizer. This did not, happily, preventeither from trying. We have a letter, belatedly published, from Shaw to Tolstpy (letter of February 14, 1910 in Intellectual Digest, January 1973, p. 32). Tolstoy, it appears, had chided Shaw for being too flippant about solemn things in Man and Superman. "But why should I not?" Shaw replied with gusto. "Why should humor and laughter be excommunicated? Suppose the world were only one of God's jokes, would you work any less to make it a good joke instead of a bad one?" In itself, this is a marvellous notion-that the world is God's joke. The concept of joke, like that of toy, arises out of the exuberance of things, out of, it seems to me, the very source· from which

all things appear. I should like to be more enthusiastic about Shaw's witty retort than I

really am. Unfortunately, it immediately followed a brief exposition of the good man's theory of the deity, a quaint exposition, alas, that rather undermined any possibility of the world's being a joke, good or bad:

To me God does not yet exist; but there is a creative force constantly struggling to evolve an executive organ of godlike knowledge and power:

ro;ulc:astdn bnd tiJhct simiJ"' publk..sa{ely types rcslricl severcf)' the ad\'erJii.i11g of fanta~)· on

chilJr\!n"s prosrams. ·111c N:11ional 1\l>~ociatipn of Dro;iJcaslcrs dclincJ fanlasy as ··an)·thing nol in the rlay cn\'ir~mnent l•r real worlJ of children." I am glild C. S. tc"is nt;:\·er ·liveJ to licar ~uch ml. "That is one of lhe funetionlli of art'"-he wrote in hi'i wondcrh1I c~say "On Storics"-"to presenl what lhe n:arrow and uc~rcr;tlely pra..:tic;1l pcrspcdives pf real life exclude"" (0/ 01//a ll'orM~. p. 1111.

Pra~tkally all the lhinss th;1t arc worthwhile are not in the play environ. ment or real world of c.:hildrcn, exl·cpt, of course, lhc children themselws ~;and they are always i111;1:;ining. '.\Ir. Glas:. went on: "When you deal with a t~ly. yo ... deal \\ilh im;1gi11>1lilin. Out if 'Jack and th~ Beanstalk' were written today, the author wvuld have b.ccn told not to do it because \lines can't grow th;it high an.f giants don't exist.'"

··only God c;m.11;1kc a s>11'~ ll'Y· . :· I wonder if !\Ir. Glass knew that the ageing Pl;110 in the /.11wf called mi.:n the playthings of God'! I hope he didn"t, in a w;ay. for the'c curious lll)'S that Gou made are any­thing but "safe." '!'hat i'I. in fa..:t. why he made them. For had the deity ma<.lc men ·"safe,"' there » ••t1lJ h;1v.: been no ~cnse in making men in the first rlm:e. fl("t'tllUC Ire• 1jl'L' 11111 .~af l', l\'t' Ql't'.

T llE 'fl\Ol,JRLE is that loo m•my grin1 thinkers f not children) would assume Plato lo have been mere!)' frivolous for such ;1 remark that men wc;re the plaything11, lhe toys, •• r Goll. Out Plato was saying perhap'> the mosl profou1lJ thing ever said before tl•e Prolo1me of JohQ, whkh says that the Word wa!I made nesh anJ dwell amongst us. a mirncle <'f sllrb making this world, afl~r all, a llcar and welcomg place, Plato knew that the playthings of Gou are 110t 11afe. th-.t they need tlot even exisi, that they are, therefore. the rcs4lti of crc:.i1ive joy.

In preparing for Chrislnms. Charlie nrown·,. little sister Sally wa~ pain­fully writing tier En~lish Iheme. The suhjccl was "the true meaning of Christmas." '"To me:· she Pitim.t;ikin~ly >cribbll;d with hl·r t.rnthcr looking intently ()Ver her shoulder. "'Christmas is the j(ly ot' gelling." ""Giving!" Charlie corrected her. Qut Sally rcfu~cd to change her mind.

There is a profound insight here not unconncdcd with tPY'> and incarna­tion--the joy is in the gcllin!?. The dc;;n:c to whkh this sounds merely selfish is the degree to which we ha\·c !,!OHcn away fr0m the essence of our condilfon. To l11ck the c;:1padty tn enjoy the gotling is to lack, Jl4:rhap11, the b~:st thing ••~out us. the fact that what we ha\'C, we have received.

To be. s4re. we are likewise made to give, t(' go out. Makolm Mugse· ridge, that 11:me man. recently published his nu~moirs with the Wl,)nderful title, Cl1ro11iclt.'.t of H'a.tted Time. (The Little Prince had s;iid, hadn"t he, that only the time you waste Qn your nower or on your star or pn your

that is, to achieve omnipotence and omniscience; and every man and woman born is a fresh attempt to achieve this object. ·

·The' current belief that God already exists in perfection involves the belief that God deliberately created something lower than himself when be might just as easily have created something equally perfect. 111is is a horrible belief ....

Such, of course, is refried Hegelianism, which ends up inventing what ha.d just been denied. The suggestion that a perfect God create a plethora of equally Olympian divinities is contradictory. In bypassing the trinitarian mystery, moreover, Shaw's notion misses the very essence of diversity within the godhead as well as the profound dignity of creatures other than God. After all, pecause we are not God's equals, we do have a possibility to rejoice. Moreover, the belief that God will perhaps exist someday is merely despair for those who already do eXist. For Shaw, we are more

obviously tools than toys and jokes. Credo in unum Deum, patrem omnipotentem. . . . Credo in a creative

force constantly struggling to evolve an executive organ of godlike knowl­edge and power. . . Which indeed is the more horrible belief? And how do we know that this "executive organ," once brought forth, will be· benevolent? Shaw blithely presupposed, without telling us, the existence of a' good God or at least a good process, to eliminate this fear.

NEVERTHELESS, the notion that the world is one of God's jokes is, I think,: a happy one. In Shaw's theology, everyone is supposed to become a kind of equal god some fine day, or at least, somebody else is. In his humor, however, there .seems .tQ. be some room 4or finiteness. A bad joke, after·· · all, can often 6e as funny as a good one. Out of a reflection on this notion of our finiteness and our jokes, I think, we can begin to grasp the essential glory of the fact that we are, 'none of us, nor the world itself, equally perfect to the deity. For the insistence that a perfect God is some­how imperfect because he does not create otb.er "equally perfect gods" is simply a disq~lief in and negation of the cr:eature that does not have to be divine to be worthwhile, the creature we foolishly often call foolish, namely, ourselves. Sometimes, I believe,)t takes' far greater faith to believe· in the existence pf ourselves th~n in the existence of a 'God or a multitutk' thereof. · ·. ·

Marvin Glass\s a toy desig~er who. livt<~ in' Chicago. The Wall Street Journal did a piece on his busihess arid his'l}ttitudes (l:)ecember 1, 1972). Mr. Glass says a good toy· should hav~ these qualities: "Several children·· should be able to play with it at ont:e; .it shoJld 4ilso be easy to handle, not too complicated, and preferably" red." I cannot but wonder, if that

explains the color of Santa Claus' unifOfm. Mr. Glass told the Chicago City Council: "Only God can m~k~ a safe

toy." Mr. Glass also believes-probably correctly-that there is· a con-

friend is of 11ny value'1) t•AO I ca" claim to ha~ loamt from the )'eaff! I have spent in this world,"' Mr. Muggeridp. wrote, "is th•t the o"ly tiappiness is love, which is attained by sivinJ, not rcceivina: •n4 tl~at the world itself only becom~s}he dear and habitable dwelling pfac:c ii ii w• we who inhabit it know :\-.·e arc migrants. due •·hen the lime comes lo ny away to other more commodious sides."

This is very Augustinian, \'Cry wise. ApJ it is qot u"true. "The joy of loving, giving." a friend similarly wrote, ·•surely we are JDOSI truly bl,ucd when we h;we a fellow 1:rcaturl! to love, not la l>c loved by. Masses of people i;:oulJ love us am)·· it Wt•u!Jn"t make a whit of difference. To have someone lo lmtc is to hl\'C a creature in whom resiJe the reasons for all. the joy ar.d pain and s(1rrow, ei,;st;1sy, c,ll1cerQ. ;md laughter of .whil:h we arc c;ipab!e, provided we :ire ..:apable of giviol ;it all." Olfr condition ~ persons in the Christian traJitiun is also one o( gMn1. no doubt. We ar~ truly bl~sscd b;- our love of our felluw crcaturei~ in 1Mn1. Bui ii would be a srraoge worli.I indeeJ if the only joy were iQ 1ivin1 and not likewise in receiving, a very one-sided enthusiasm that tak-. the hea'1 o&JI of thanksgiving and gift ,:and expectation. Qur very capa~ity to love I• already a gifr that i" not ours. This is the very meaoing o( toys. aifl•. and probably of Christmas to(>. Eric l\lasc;all wrote:

We lo\'c GoJ. hut only tlC1::1µ'io.! God lir:il loved us. ·rhe fa1:t that God loved us provi.lcs us wilh both ~lw rea~on for !oving God anJ the f")Wer whil:h en• ables U!i 10 Jo Ibis. For 'lhe love which the Chl'i;;1ian t\!Jlerci1e11, whelh.r 10-warJs God pr towards ~n. Is i.i1nply ahe reOection and overftow of tbJ f4>ve which God has poured int~ him (Grat·,. a,,d Glor.'·· p. 11 ).

When Qod did not mak¢ somolhing equally perfect lo himself, he indied committed ·the "'horror." as. it were, of an unsafe tfJY and a bad joke. la the universe, C'llef}' man ~o,J wo1nan is a fresll litrugale in tho .ean:h f()f omnipolencc and onmisci~n;,;c. llut the struggle. takes plai;e only under Jhe more commodious skies ••f a u:llec.tion and an overftow !SPVolopinf us. from the beginning. The l••Y is in the getting. We give only bet:ause we. re.:.:ive. When we ca11no1 1 a.:cept a gift, when we ~annol bo enthusiastic: about receiving. lhe quali~y of our 1ivina must be very suspect.

In 1:.'liot a11d lli.f Age, ~ussell Kirk mentipns a poem of mu- entltle4 ''The Cultivation of Christ.mas Trees.'' something I had f'!tVer re"9 before. J tried to find it in the British Council Library in the Via delle Quattro Fontane, hut it wall n91 there. A resourceful friend, however. found it .. the Morning Pra>w in the new English Office for the (;hristm~Udc. For Eliot, we are to remember the unexpectedness and wonder of o"r "nt gliltering Christmas, of the goose and the turkey and the reverence and the gaiety, so Jhat we shall retain 10 tt.., eQd. in spite of II •II. our 1e1111 of surprise and delight thal such wondrous •hin115 cpuld ever bo . at all­ll,l)'S, and jo~e!i. and Christmas. t'"'.

1.

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en·

... ...

Because tbe beginning shall remind us of tfie end And- the first coming of the second coming.

We are not, blessed state, the equals of God. This is why we-· do in fad . have creatures in whom reside the rcasom for all the- joy and pain and sorrow, ec:stasy~ concern. and laughter_ of which we are caji@lc . .,._ joy

. is in the getting, in bCin~ the friends of.· sucll w~ unsafe toy. and jokes whom God }las made .in ~u of malting himself Oft~ - and over again ad infinitum. " ·

WHEN wE deal with a toy or a Christmas tree, we deal witlt il!'agination. with the' capacity of wonder··. that suggests how our ordinary play wand . might be insufticient. Mr. Glass was right~ there are merr about today wh<r would prevent- our childrtn from bearing. the story of Jack and the bean­stalk, just as there are more. and_ more men preventing our c)lildren from hearing the story of Christmas trees-:--indeed~ there are. men. who want, as the hope for mankind, to prevent chiJdren. But. C. S. Lewis said. ... nature has that in her whicll compels us to invent- giants." At the heart of every.- fairy tare is the human child astonished at the fears and glories and risks of the universe. ·

The child wonders. at the Christmas Tree: Let him continue in the spirit of wonder Al the Feast as an event not acceptelJ. as ~ pretext. . . .

The joy- is in- the getting-this is the event- of the God who does Y~ exist. -The only happiness is not "In love attained by giving, not receivlng,.­that is a happiness; to be sure,. and we should riot aoubt it. But the greater mystery is that someone loves us anti gives us wondrous _things-t~ ~ and the beginning, the. first coming and the second commg. The' JO)' in.

these- is, and will be, in the getting. We are not godS. This is our glory and our wonder, and why we have other creatures whom we ·can love. With God's jokes, unsafe toys, and glittering Christmas tree~with such is our universe filled. The joy, dear friends.. is in the getting .

. .f/I.

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Excerpt from Th~ University Bookman.. Submitted by Doug Mayer.

••• from The Screwtape Letters, on the matter of studying the ancients:

"Only the learned read old hooks and we (the spirits of hell) have ffOW so dealt with the learned that they are of all men the least likely to acquire wisdom by doing se. We have done this by ineul­ca ting the Historical Paint or VieW'. The­Historical Point of Vie111, put briefly, means that when a learned man is pre-sen­:ted with any statement in 3.n ancient. au­thor, the one question he never asks is whether it is true. He asks who influ­~nced the a!Tcient writer, anj ho~ far the statement is consistent with what he said in other books,. and what phase in the writer~s development, or in the.gen­eral 'tlistory of thought'- it illus tratest and how it affected later 1#ri ters, and how o.ften it has heen misunderstood (es­peciall~ by the learned man•s own col-leagues) .... '.. .

submitted by Harry Golding

December-6, l 27 S; The 36th Annu:ar

WlLUAM LOWELt PUTNAM MATHEMATICAL COMPETrTIPN

;

Supposing that an in"teger n is the sum of tvot;i~ tiumbers,.

a2 +a b 2 + b n= 2 + 2 '

wri~ 4n + l . as the sum. of tvo squares,

fi.n t 1- = x2 + Yz :J.

and show mw x and·· ~ ::r can ·~ expressed in terms- of' a and b •

Show that,. comrerse~,. if 4n + 1 = x2 + y 2 , then n is the sum.. of

two. triangular mmibers •

tor CQ\II"Se, a, b, x, y are understood to be integers~l

Problem A-2

For which ordered pairs of ~ numbers b, c- do both roots of the

quadratic equation ..

a2 + bz + c = O

lie inside the unit disk ( lz f < l} in the canplex plane?

·Draw a reasonably accurate picture (1.e • .l 'graph'} of the reg:ton in

the real be-plane for vhich the a.bo:ve condition holds. Identify precisely

the boundary curves of this region.

Problem A-3

Let a, b, c be constants with 0 <a < b < c. At vhat points of the.

set . b b b . (x + y + z ... lr x 2: o, y 2: o~ z _2! o}

in three-dimensional space I~ does the function

f{x, y, z~ = X-a +yb + 7.e

assume its maximum and minimum values? Problem A-4

Let n = 2m., vbere m. is an odd integer greater than l. Let-

Q -= e21f.i/D • . . I . Express (I - 9)- explicitly as a po~id in 9 ~

_, .···· k 'k-1 ~Q. + 8ic...-1Q +

vi th integer coef'ficients .a. l.

(Note that 9 is a primitive n-th root of' lDlity, and thus it

satisfies all of' the identitie& which hold far such roots.}

9

. rpl!e A-5

. OD ·- ill&enal I ot tbe reel u.·~. let. 71(x) mad 1'2(x-) 'lie

UDearq 1Ddepelll)eat molutt.s ot 1'be Httenl:IU&l eca-1'1oa

y-'' • t'(xb ,

vbere r(x) i• a caatinuous real-vallaecl f\metion. S8pJloee t.bat. 71(x) > 0

aD4 12(x} > o on I. snw that tbere exist.a a :poaiti've coaaUl4 c such

~, on I, tllie ~

aatis:ties tM equation

z" + ~ ~ r(x )z • . z

state clearq tbe manner in wnich c depends on Yi (x) and Y2(x}.

?roblem A-6

Let P1, P2, P3 be the vertices 01' an acute-angled triangle situated in

hree-dimenaioaal space. Show that it is alvays possible to locate tw addi­

ional points P4 and P 5 in such a vay that no three or the points are

>llinear and so that the line through any tvo of the five points is

!rpendicular to the plane detennined by the other three.

In writing your ansver, state clearly the locations at vhich you place

points P4 and P 5 •

P.roblea B-1

In the aclditive. group or ordered pairs of integers (m, n) [vith

addition defined ccmponentvise: (m, n) + (m', n') • (m<fll .. , n-tn' )l com1~r

tbe nbgroup Jr generated by the ~e elements

(3, 8),

Then B bu another s~ or generators of' the form

(~, b.), (a, a)

for same illtegera a, b vith a > O. · Find a.

[B1-nt.a '1• · ••, gk are said .to pnuate a subgroup H 11'- (1} each

'1. ER , and (11) every h E H can be writ.ten- &a- a IMl h • n1&1 + • • • + Yk

vhere the I\ •are int;egers (aiUl wbere, for examPJe, 311 - 2'2 means

•1 + '1 + '1 - '2 - '2>·1

Problem B-2

·In three-dimens:l.C>nal Euclidean space, define a~ to be the open set

o:f points lying between two parallel planes . The distance between the

planes is called the thickness o:f the slab. Given an infinite sequence

s1 , s2 , ··· o:f slabs of thicknesses d1 , d2 , ···, respectively, such that

co !: d converges, prove that there is sane point in the spe.ce which is not

i=l i

contained in any o:f the slabs. Problem B-3

Let sk(a1 , · · ·, an) denote the k-th elementary symmetric function of

a 1, · · ·, an . With k held fixed, find the supremum (or least upper bound)

l\ of

for arbitrary n > k and arbitrary n-tuples a1 ,

numbers.

, a · of positive real . n

products o:f t~ t'!!~,~~ ,aj/\{·;, an Thus, for example:

:, ';,.,_ ;; ':/: sl(al, ···,an)= al+ a2 +···+an;

It should be remarked that the supremum l\ is never attained; it is

approached arbitrarily closely when, for fixed k, the number n of

variables increases without bound, and the values ai > O are suitably chosen.]

Problem B-4

Does there erlst a subset B of the unit circle x2 + y2 = 1 such that

(i) B is~topologically closed, and

(ii) B contains exactly one point from each pair of diametrically opposite

points on the cir~l~7

[A set. B is topologi Cally clOs ed if 1 t contains the limit o:f every

convergent sequence of points in B.] Problem B-5

Let. f(i(~) = ex and fn+l{x) = Xfn' (x) for n = o, l, 2, ••••

a> f (l) . Show' that ~ ....!!.,­

q7<) n.

Problem B-6

e = e

·.. l l Show that if sn = l + 2 + 3 +

(a) n(n + l)l/n < n + s' for n > l , . n

l +­n '

and

(b) :n - l)~l/(n-1) < n - s ·n for n.> 2 . ":::"· ,

then

Submitted by Jon~than B. Skinner

n

I

12 WINTER VACATION ~

Winter Vacation will extend from Thurs­day, Dec 18 th!ough 8:15 am Monday, ~an 5. Students are reminded_th~t the~ will not be permitted to remain ill residence during the Winter Vacation. . .

All College buildings and of fices will be closed for the Winter Vacation. Stu­dents must be out of the dormitories by 12:30 pm Thursday, Dec 18. Each ro~ ~ill be checked by the Susiness Office for fire hazards on Thursday, Dec 18 af­ter 1 pm. The dormitories will reopen Saturday.- Jan 3, at 9 am. .

Students will be responsible for ad­vising parents where they are if.they.do ~ot go home for the Winter Vacation; it rill not be necessary to leave addresses :i:t the College •

'l'he Dean wishes to remind st~dents that there will be !!2 unexcused absences permitted on the day before 2!:, after winter Vacation~

The Dining Hall will close after the 9Vening me.al on Wednesday, Dec 17, ~nd .iiill reopen Su.."lday evening, Jan 4, 1or ::linner. Breakfast and lunch wil1 be -erved in the Coffee Shop on Thursday, ::> II 1 t• k Dec 18. Stujents ~st ha~e a mea ic~-9t11 for each meal in order to be se~ve'-4. rickets may be picked up in the Business Jffice Thursday, Dec 18 between the. hours of 8. am-11 a:n. Meal tickets will be good for a maximum of $1 .. 50 per meal. The Coffee Shop will not honor meal tickets a~ter 1 pm.

The Coffee Shop will close 2 pm Thurs­day, Dec 18, and will reopen the usual time Monday, Jan 5.

Library ~- 9 am-4 pm except week­ends and school holidays. Closed Dec 20 through Dec 28.

Bookstore Hours- Mo~day, Dec 29 and Tuesday, Dec 30: 10 am-12 pm, 2 pm-4 pm. Wednesday, Dec 31 and Friday, Jan 2: 10 am-12 pm. Closed Dec 20-Dec 28.

Campus Job Payday- Wednesday, Dec 17 at the Business Office from 1 prn-3:30 pm. If this time should conflict with your class schedule, please contact Mr Finch.

Room Inspection- There will be a dor­mitory room inspection Tuesday, Dec 16. Students are asked, though by no means required, to be present. HOwever, we es­pecially ask that dormitory ~elegates accompany the visitors. We will observe

the following schedule as closely as possible. Rooms will be ch~cked for cleanliness, property damage, commc;m. room furniture in student rooms, dining hall utensils, evidence of pets, mat­tresses on the floor, etc. Campbell- 3-3:45 pm: Ms~s Leonard, Blue,

and Cerullo, Mr Tucker. Humphreys- 3:45-4:30 pm: Ms?s Leonard

and Keefe, Mr Tucker. Randall- 3-3:30 pm: ·Mr Williamson, Mr

Jerre!ITs. East Pinkney- 3:30-4 pm: Mr Will~mson. Chase-Stone- 3:.30-4 pm: Messrs Finch, .

Jackins, and Elzey. P: -C. 11 3 3·3A ~-; ·~!Ire as above. aca arro - - . v P"'" -u.

West Pirtkney- 4-4:30 pm: same as above.

Please note that th.ere will be little heat in the dormitories over the vaca­tio!l Pel"io-j. You should make ~ui table arrangements for plants and fish.

Please be sure to lock your ~Qo~s-~ -----The Assistant D~~ns

DOCKSIDE Annapolis

Dock folk tnir..k Dave's cratt st~ffI.ngs are great,. but : say Bou:tllaba.~.:.:;~e is be~t.

Open7Days t1am--11pm

22 Market Space 288-2578

DENT LIFE COMMITI'EE NEWS

Last month's business wa.S taken up with he planning of the forthcoming Pa:ents'

e.kend'. This will be held on April 30-l.: 'The festivities planned are as

llows: triday- 1:00 pm- Registration. arents will have the option of attending

ses regularly attended by a student of same surname and/or other distingui-

· n.g characteristics.) 8:15 pm- Lecture: Eva Brann

the Declaration Of Independence. Saturday- 2:00-4:00 pm- Seminar on "fhe mpest." The seminar groups will include

dents and/or tutors on a voluntary ba-

4:00-5:30 pm- Cocktail party Evening activities- KWP Spring

duction, whatever it may be, followed a waltz party.

Remember to sign up for the January trip the Kennedy Center. (Sign-up sheet on

be DC bulletin board in the Coffee Shop.) J.D. Walley

It appears that the Kennedy Center trip has been cancelled • The Ed.

HI-Fl SHOP

November Report of the Student Instruc­tion CQ11111ittee

The Student Instruction Committee in November planned its major examinations for the coming semester, and organized the student committee assigned to review the catalogue and other admissions.ma­terial. I. We will examine the Mellin-Williamson Greek text, and student response to it, with a view toward offering whatever helpful comments we may derive from dis­cussions among ourselves, with other students, and with faculty members.

We will also explore criticisms that the junior year program is inordinately intense, and will discuss with the Fac­ulty Instruction Committee the validity of the criticism and also possible al­ternatives. A similar investigation will concern whether a reduction to four of the five classes of the sophomore pro­gram would be advantageous and feasible. II. We met with representatives of the Student Life Committee (Jim Walley) and the SCI (Scott Cooper), and three other students (Michael Ciba, Porn Collins, Ar­thur Young), who will consider possible revisions of the catalogue. Printing deadlines will allow time for only minor revisions in th~ forthcoming catalogue, but the committee will consider the pos­sibility of major revisions for· the next catalogue. The committee will each time meet with the SCI to arrive at a consen­sus of suggested revisions, which will then be discussed with the Faculty In~ struction Committee. The committee has been advised to actively solicit sugges­tions and opinions of other students and faculty members.

Again, we too welcome suggestions and criticisms from all members.of the Dele­gate Council.

--Gretchen Berg, Michael Berger, Scott Cooper, Adam Wasserman, Steve Gilles, Richard Levy, ch, John Raney

,\ ~

--d-,l•gate. COLR:il . -.,' ' ·-

DELmATE COUNCIL MINUTF.S Tuesday, December 9, 1975 .Present: Jerrems, Elliott, Lobdell, van der Veur, Traeger, Nesheim, Kneisl, ~borne, Wells, Young, Niblack, Miller, Magee.

East Pinkney had a re-election. Paul Kneisl is dorm delegate and J.D. Walley his alternate.

Mr Wells has taken Mr Magee's place as Off-campus Delegate.

Mr .. Elliott occupied himself during most of the meeting by writing chec~$ to what seems to be a party-starved community:

Ms Rude was given $7.50 for a small party. Unaminously approved.

Mr Young was also given S7.50 for a party. Unanimously approved.

Mr Weiastein was given $10.00 to buy wine for intermission at the Musicum.

Mr Hendricks requested $7.50 for an off­campus party on Friday night. There was a discussion about whether or not this pai'ty would conflict with the all-college affair planned for the same night. The request was granted. For: Osborne, Lobdell, Nesheim, Traeger, Miller, Ell:it>tt, Kneisl, Wells. Abstain: Niblack, Jerrems, Young, van der Veur.

Mr Gray was given S4o for an all college party to be held Friday night in the gym. This to cover the cost of glasses and clean up fees. Any unused portion will be returned to the Delegate Council. Mr Wells and Mr Miller abstained. All others approved.·

It looks like RAM is in a bit of troub­le. Mr Elliott recently received a $158 bill for a film shown on March 4, 1975. After this had been paid, RAM will have a budget of $20.

MrClendenin presented a report from the Development Committee.

1) Markers will be put on the large windows in Mellon Hall "so that birds and 1 it tle children won ' t run in to the qi. "

2) The French monument on back campus near the boathouse is in dire need of re­pair. Apparently it was one of the first monuments built in the ttnited States com­memorating foreigners who died fighting for our country. Since the Bicentennial is approaching, the Development Committee is going to find out if the city is in­terested in repairing this landmark. (By the .way, it's a regular stop on Boy Scout Tours.)

3) The Development Committee would like to enhance the boxwood garden which lies between Chase-Stone and the Admissions of, fice. This would include trimming the boxwood, putting in a stone walkway and benches, and planting a garden in the middle. Mr Clendenin said that he'd go sit on the benches even if nobody else would.

4) A report will be sent to Mrs :~rle­ton Mitchell who has donated money to the Garden Club to tell her how this money has been put to use. Some of the funds will be set aside to have someone evaluate the "true situation" and also to buy more trees if needed.

Mr Young requested that some improve~ ments be made in the area between Chase­Stone and Pinckney, specifically, that a stone walk be put down.

The plans for the renovation of the gym were drawn out of scale. They are being redrawn.

funds have been allocated for the reno -vation of Paca-Carroll.

The refrigerators in the dorms will be turned off over Christmas V3Cation. Dorm aelegates have per.nission to eat anything and everything before defrosting them, so get your stuff out.

Mr Jerrems read the Student Instruction Committee Report. The main considerations are:

1) Examine the Mellin-Williamson Greek Text to see where changes, additions and/ or deletions are ne,eded.

2) See if the splendid but inordinate intensity of the ·Junior Year can be eased somewhat.

3) Check the feasibility of having four Sophomore classes instead of five.

4) Revision of the College Catalogue in conjunction with the Stu:ien t Life Commit"' tee.

Mr Jerrems' sugg~stion that we take next Tuesday off was heartily approved.

Pam Lobdell. Meeting with the Administration Thursday, Dec. 11, 1975

The annual Christmas party, which is run by the Assistant Dean's ~fficetwill be held next Tuesday evening i.~ the FSK lob­by. The Assistan~ Deans will supply the beverages, but volunteers are desperately needed to "bake cookiesw S50 is set aside in the DC fund for the Christmas party and

suggested that we buy some cook­from Marriott if necessary. Williamson said that it might be very

pful to ~ave a student committee which d offer assistance. in case any emergen­

arises on campus. A few weeks ago, for ple, there waa a flo'.);:i in the Art Gal­

Y• The city had turned the water off someoneinadvertently left the faucet

in the Art Gallery. Hence the flood n the water was turne r'l on again. Tnis the type of emergency ~hich may arise rn time to time, and although they are

ite .infrequent, Mr 'i'lilliamson thinks it portant to have certain people who can called to hPlp cut.

e .-)tuili<>n t 1~ :.tal Review Comrni ttee win e an nrg.,nizri,tional meeting on Mond::i.y, ember ]j, at 3:0J in ~cDowell 23. r Jackin~ said that due to rising food ts and a rising consumption rate in the ing Hall, one of two things must be

Raise board fee by $2] for second ester. ) Eliminate second helpings on the ree.3 (which would mean a larger help3: in the first place.)

The concensus of the Delegate C 0uncil that the first alternative is by far best. Mr Jackins asked the delegates

determine h~w most students felt about matter, but as we haa less than 24 s to do so before bills had to be

ed, a thorough inquiry was impossible. ry about that. n g_ddendum to Ms Leonard's comment ut the burning of notices: it is not be taken as lightly as my report see~ed imply. It is a serious fire hazard.

Have a go~d vacation. Pam Lobdell

by Bryce Jacobsen

DEADLINE ... a final reminder. must be passed by Wed., Dec.

We have some new singles win­rs this year ••• Ms Blue and Mr Pickens. Blue, who has won every sort of athle­

c honor at St John's, tells me that this her first ever win in a singles tourna­t. Well ••• I didn't know thatt

In mixed doubles. Mr Wasserman again won, 's time teamed up with Ms Bassan. In 's doubles, the 1'lelson-Pickens tandem

n for the second year in a row.

15 BADMINTON- Greenwayes-77, Hustlers-50. The Hustler badmfri.fon_te~vhas come upon hard times, something tti~t .J;hey are not used to 6' Ms ~lue and Mr T~lyn won 'deci­sively in the;..singl~s ••• and that was, as they say, "all she ·,,,;rqte. 11

BASKETBALL-.· Guardians;..71, Hustlers-38. It was generally believed .that this would be a "rebuilding year" for the Hustlers, they having lost several of their super­stars from last year. This first game certainly supports that theory. The Guar­dians simply had too many experienced "double figure" people for the Hustlers to handle~ But knowing the Hustlers as we all do, you can bet that they will get better.

Spartans-63, Druids-62. The pre-season word on the Spartans was that they would be "tough." They lost almost nobody from last year, and gained several solid play­ers. And, as the Druids would now agree, they~ tough ••• aspecially in the fourth quarter, when they needed vo be. To start the last quarter down seven points against a strong Dr~id team, and then to win, is quite an accomplishment. Actually, this last quarter was a stand-off with respect to field goals, each team making seven. But the difference came at the foul line. There the Spartans cooly sank nine for thirteen, while the Druids could muster only one for four. This dramatic Spartan comeback, and their "cool" in the midst of a pressure situation, caused many ob­servers to remark that this was a "great" game. I agree. Mr. Clendenin and Mr Cope, two of those Spartan newcomers, led their team's scoring with 23 and 14 points, respectively. For the Druids, it was Mr Nelson at 14 and Mr Weisbaum at l~. 10. If the Druids are looking for goats to point the finger of blame at, consider this: their A-team for the game was 2Z% at the foul line! (The Spartan A-team was 65%.) VOLLEYBALL- Spartans-60, Guardians-38.

Greenwaves-60, Hustlers-39. After four lop-sided games, the Druids,

Spartans and Greenwaves have not lost ••• and the Guardians and Hustlers have not won. But this overly neat dichotomy will soon end when we resume in January. Win­ners will start playing winners, and los­ers losers. THIS WEEK'S SCHEDULE- Badminton- Tues. at 4:30 Guardians-Druids

I

i ~:

• '

l . FIEFood aCEW3

Moo. Evening Tues. Evening Wed. E'\'Ctling Thur. Evening

SteakNite Baked Moussaka

German Saix:rlraren Gnrd Beef &Ubbage

"TWOFORS 0 IN Cl.R COCKTAIL t.aNiE t.«H>AY- FRID\Y. C-6 PM

Alt( ORN< 0Nll£ BAR TWO FOR THE PRICE OF <H:.

<SPECIAL PRICE 0. llWX>HT >

61·63 Maryland -... Annapolis

--111118 .... week's n11111

There is a good chance that therr will be some sort of food this weeK"

ED.

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St Jobn'e College •Mpolia, MD 21404

S Gra,y Ro'Jert Humb::r Dar.k ,Jerre:ns Steve Magee Caro2 -;_ ne Mandy

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