The Clovis Tutorial Center’s

I N S I D E THIS ISSUE:

WRITEVOLUME 16, ISSUE 4 NOWDECEMBER 2016 Leadership 2

Stories and 2 Legends Mathematics’ Quirks: The Barber

Joining the By Taylor Lopez 3 Conversation I love ; they make ry this problem can not be that couldn’t create a loop Essential Math 3 people question the way resolved. This paradox was like Russell’s paradox. After Pick-Up Lines that humans use some theo- discovered in 1901 by the publishing the three vol-

Tutors of the ries to interpret the world. aforementioned Bertrand umes of Principia Mathemat- 4 Month Can things we take for com- Russell. At the time, this ica in 1910, 1912, 1913, and mon knowledge be incor- was a huge problem for the a second edition in 1927, his Working at rect? Does 1+1 really equal foundations of mathematics. work was highly regarded as 4 the Zoo 2? One of my favorite phi- One hundred years previ- the greatest logical theory losophers, , ous, Gottlob Frege tried to since Aristotle’s Organon. Sudoku 5 attempted to solve a para- develop a foundation for all Unfortunately Kurt Gödel’s dox of in his mathematics using symbolic incompleteness theorem Word of the magnum opus Principia Math- . Frege established con- that finally showed that the 5 Month ematica. Russell’s paradox can nections like x=5, stating Principia Mathematica could be described with a riddle, “If the the value of x is 5. This not be both consistent and Math It! 5 a barber shaves all and only makes intuitive sense but complete. those men in the village who leads to Russell’s paradox. If So the answer to the rid- A Party in do not shave themselves, does we write x = 5 in set nota- dle: it depends on what type 5 Your Drink he shave himself?” Given this tion, we get that x = {n : n is of set theory you use. You statement to be true, who an integer and 4 < n < 6 }. can remove the barber from Word Search 6 shaves the barber’s beard? Seemingly, any description the set of people who do We can break this down into of x could fit in after the not shave themselves, you mathematical terms to try and colon, e.g. x = {n : n is not can say the barber is female F E A T U R E D draw a conclusion. in n }, which was discovered and doesn’t have the char- AUTHORS A set is simply a grouping by Russell and led to his acteristics of someone who Taylor Lopez of numbers that we can de- paradox. When Russell dis- needs a shave, etc. There is Jason Lee scribe, typically with a varia- covered this paradox, Frege no definitive answer and this Blake Wilson ble e.g. A = { 1, 2, 3 }. In immediately saw that it had reality doesn’t allow mathe- Ramleen Boparai English this reads, the set of a devastating effect on his matics to be based in pure Isaiah Trujillo A has the values one, two, system. Even so, he was logical axioms, we have to Mary Papikian and three, and A’s size is unable to resolve it, and make intuitive assumptions Robbie Hill three and that A doesn’t there have been many at- about math. Our current Spencer Shadley contain itself. So given a set tempts in the last century to understanding could be in- Ben Bohan R that contains all sets avoid it. Russell’s solution is correct, does 1+1 really Samuel Montgomery whose members do not to enable a hierarchy of equal 2? Does the barber contain itself, does R con- types that inherit from each get to keep his fantastic tain itself? Can the barber other. He undertook this moustache? I urge you to FACULTY shave himself without violat- mission to essentially prove take a dive into math, look ADVISOR ing this predicate condition the fundamentals of mathe- at its quirks, and explore its Adelaide Mitchell that he only shaves people matics from purely logical mysteries. who do not shave them- axioms. Allowing for con- selves? With naive set theo- sistent logical statements P A G E 2 Leadership By Jason Lee

Leadership: the elusive skill you'll remember is the collec- where you mentor and dele- set that seems to require tive hours of learning points gate, etc. This is perfectly endless hours of training and and lectures. Thus the best acceptable, but the bottom overcomplicated procedures. approach, as with any task, is line is that you are really in I am no expert on the subject to keep it simple and follow that position for one specific myself, but I have had a fair the aforementioned golden purpose: make sure that the bit of experience with the rule. That takes care of sum- nonsense stops at your desk good and the bad during my ming up the thrust of all and does not make it to own attempts to be a leader. leadership classes and advice your team. Simply put, keep The golden rule to any leader- so that you will not be going “it” from rolling downhill ship position is “Don’t be off and forgetting your prime any further. For more tips Jason is a tutor here arrogant.” With any position directive. The largest miscon- and tricks on keeping it sim- at Clovis Community comes a myriad of responsi- ception about leading is that ple, just find the nearest College. He rides a bilities, and the last thing you have a special role Marine. motorcycle . Stories and Legends “He would spend By Blake Wilson between his targets, the took a shot, his target would entire days going distance growing continually, move across the sky and he Archibold Flechingham of back and forth until one day he realized he would miss: piercing the Nockshire was an archer. was going around in a circle. thick black veil of the night between his targets, He stood as tall as a sequoia At this revelation he be- leaving only a small pinhole and was as strong as thun- gan to tell others about how of light. And no matter how the distance growing der. He cloaked himself the earth was round and not far he lead his shot, he still with entire fields of cotton continually, until flat; however, the people did could not hit it. After a and bathed in the largest of not believe him. He tried to while, he began to travel the one day he realized summer storms. Even as a get them to follow him world in search for the tall- child he towered over the around the world but no est mountain top so that he he was going around mountains and roamed the one would go. So to prove would be closer to his tar- forests freely, hunting for in a circle.” his discovery he showed the get. food for himself and his people the only way he Each day he would hike to town. He wielded a bow could think of. He climbed the peak of the tallest with a three-ton draw, the tallest mountain in the mountains he could find would use entire trees for area and placed a single ap- with his bow and a quiver of the shafts of his ple on his head. He readied arrows, and as soon as night

arrows, and was a his stance and took his shot. fell he would begin to fire at deadly shot. After some time had passed his target. He tried tireless- Blake is a His shot was so his arrow came whizzing by, ly, night after night, to hit his precise that it was taking the apple off his head mark until he had complete- tutor here on said he could shoot and not a hair more. ly filled the entire sky with campus. He a wing off of a fly. Despite his accuracy, there these small holes of light enjoys ener- He constantly chal- was one target that was known to us as the stars. gy drinks and lenged himself by always able to elude the To this day he still wanders black t-shirts. shooting smaller and strike of his arrow. The the earth hunting that great smaller targets, far- Moon. From birth, he as- white beast, and if you ther and farther pired to hit that great target watch closely you can see away. He would as it hung in the pitch black his arrows shoot across the spend entire days sky. Every night he would night sky with a quick streak going back and forth try to shoot the moon. of light. However, every time he

W R I T E N O W VOLUME 16, ISSUE 4 P A G E 3 Joining the Conversation Should Murderers’ Names be Made Public? YES, NO, In 2015, there were 375 mass From mass shootings to a singular shootings in the US. The reasons murder, a certain degree of delicacy behind these shootings? We may is needed when presenting the infor- never know. Each killer is different. mation of the incident to the public. Most of them are not in the right No doubt, the public is entitled to state of mind during these shoot- know about the various events occur- ings. But regardless of whatever the ring in their community; however, Ramleen Boparai Isaiah Trujillo reason may be, the families that there are some pieces of information have to bear the tragic loss of their that can be omitted without compromising the integrity of loved ones, deserve to have a sense of peace. One of the the news story. One key piece of information that can be ways that peace can be achieved could be by having the omitted is the name of the murderer(s). Releasing this infor- murderer's name reported in media. This might help give mation is not necessary mostly because there are cases them reconciliation to the families and community that where the people that commit such heinous crimes could are affected by it. Others might argue that the name be looking for the attention/fame that comes with having should not be reported in media because that was their their name(s)/picture in the local, and sometimes national, news. Despite the murderer being painted all over the me- whole purpose- to make sure that their name goes public. dia for very negative reasons, he or she is still getting the But most murderers can be mentally disturbed, so that attention that was intended. This publicity only opens up might not be the first thing that comes to their mind. Even the opportunity for a series of copycat murders. One per- if media does try to hide the names of murderers, most son might see that a murderer is getting a lot of attention in people own social media accounts and can have the upper various media sources, and if they are searching for that hand by posting their name on any account. It also allows type of attention, they might be compelled to follow the families and the community to become known with their same path and commit the same crime which does not surroundings. People are forced to become knowledgea- make the community any safer. However, if the murderer’s ble about what’s going around them. So allowing social name and picture are not present in the media and the media and other sources such as the news channel will masses are informed solely on the series of events that oc- not harm anyone but become more aware of the killings curred during the crime, there is no threat of a person and it might help ease the tension with families. Everyone committing this crime primarily for the attention. Granted, will come to know about these murderers and their hei- this is not to say that the people committing murders are nous crimes and it might even help the ones that are suf- doing so to gain attention; it just prevents the opportunity fering with consolation. of copycat murders for those that are. Essential Math Pick Up Lines By Mary Papikian boyfriend. Mind if I do a you- Could you replace my X without 1. Hey baby, what’s your sine? substitution? asking Y?

2. Are you a 90 degree angle? 5. I’m not being obtuse, but you’re 8. You are the solution to my ho- ‘Cause you are looking right! acute guy/girl. mogenous system of linear equa- tions. 3. My love for you is like pi...never 6. Our love is like dividing by ending. zero...you cannot define it. 9. Are you the square root of nega- tive one? Cause you unreal! 4. I don’t like my current girlfriend/ 7. I heard you’re good at algebra— P A G E 4 Tessa Rosander

Tutor Subjects: Math 201, 103, 4A/B, 5A/B, 11, 17, 45; Stats 7; Bio 5 Major: Social Work and Public Health Educational Path: attend Fresno State or Fresno Pacific Some words to live by: “Do a loony-goony dance ‘cross the kitchen TUTORS floor, put something silly in the world that ain’t been there before.” —Shel Silverstein OF THE Lauren Manfredi-Smith

Tutor Subjects: English 252-3; Comm 1; PoliSci 2; Psy 2 MONTH Major: Psychology Educational Path: wants to get PhD from UCLA Some words to live by: “It’s just a spark, but it’s enough to keep me going.” — Paramore “Last Hope”

Working at the Zoo By Robbie Hill As you might imagine, I get asked, “Excuse me sir, “Kangaroos are the orange “’Kangaroos are some pretty strange ques- where are the kangaroos?” things with the long tions from guests as they I was thoroughly con- necks.” This lady had mis- the orange things aimlessly wander through fused, considering we were taken giraffes for kanga- with the long the zoo, which is easily the standing right next to the roos! Not only did she most entertaining part of kangaroo exhibit. I pointed think that giraffes were necks.’” my workday. “How come right at them and said, called kangaroos, she also y’all don’t have possums “Right over here ma’am.” I thought they were orange! here” is one of my favor- could tell she was not It took every fiber of my ites. Why in the world pleased with this answer being to not break out into would someone look for because she proceeded to hysterical laughter, but I possums when there are lecture me about how the maintained my professional lions right behind them? I animals we were standing demeanor and explained to have been asked many out- next to were in fact not her that she was just a landish questions like this kangaroos. At this point I little confused. and they usually had no idea what was going This is only one of the Robbie is a leave me scratching on, because I knew that many weird encounters I writing tutor my head. the kangaroos were hop- have had with zoo guests The most confus- ping around in front of my and I am sure it will not be at CCC. He ing encounter I very own eyes. I wondered the last. Although they chases have had with a to myself: “Am I dreaming? might cause me to momen- escaped guest was when an Did I not pay enough at- tarily question my wallaroos at elderly woman was tention during the zoo knowledge of the animal the Fresno in search of her animal unit in kindergar- kingdom, the quirky ques- Chaffee Zoo. favorite animal. She ten?” I would be hard- tions that visitors ask make approached me pressed to think of a time my work at the zoo more when I was walking during which I was more enjoyable. by the kangaroo confused than this. exhibit and politely The woman finally said,

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