New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Math 116 9-1-2015

by: Preston R. Woodley

Math 116 9-1-2015 Math 116

Preston R. Woodley
Mathematics for Liberal Arts
Nasir Zarsour

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Mathematics for Liberal Arts
Nasir Zarsour
Class Notes
25 ?




Popular in Mathematics for Liberal Arts

Popular in Math

This 4 page Class Notes was uploaded by Preston R. Woodley on Sunday September 20, 2015. The Class Notes belongs to Math 116 at University of Missouri - Kansas City taught by Nasir Zarsour in Fall 2015. Since its upload, it has received 14 views. For similar materials see Mathematics for Liberal Arts in Math at University of Missouri - Kansas City.

Similar to Math 116 at UMKC


Reviews for Math 116 9-1-2015


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/20/15
Math for Liberal Arts 116 Class notes for the week of 831 92 This week we continued developing the logic and reasoning that began last week Moving on from inductive and deductive reasoning we took a closer look at what makes up a syllogism being statements We then translated statements and syllogisms into algebraic functions ie we used letters and symbols in place of statements Statements A statement is simply a sentence that can be either true or false Some examples Abraham Lincoln was president of the United States This is a true statement Abraham Lincoln was the first president of the United States This is a false statement Despite being false it is still considered a statement There are only three cases in which a sentence would not be considered a statement Questions Are you going to the library tonight This is not a statement because questions cannot be true or false They can be answered but they do not declare any stance that can be verified by the truefalse system all on their own Questions are absolutely NEVER statements Opinions Hawaii is the best place to take a vacation This is not a statement because the subjectivity of it can make it be true and false at the same time as multiple people can have different views on what is being said It doesn39t matter if it39s a majority opinion if it is not a universally true or false thing then it is not a statement Like questions opinions are m statements Liar39s Dilemma This sentence is false We39ve all seen this at least once in our life If we consider the sentence to be initially true then it calls itself false If it39s false however that means it39s not true spinning us back around to say that the Math for Liberal Arts 116 sentence is true because it is actually false etc Similar to the other two Liar39s Dilemmas are NEVER statements because they are simultaneously true and false and cannot be universally one or the other Algebraic Expression of StatementsSyllogisms Once finished with the statements we moved on to algebra Yaaaay Recall the various symbols used in this process p generally the first statement in a syllogism q generally the second statement in a syllogism Any statements past this point are further labeled r s t etc though it is rare to have to go past t A conjunction meaning the two statements linked by this symbol occur together V disjunction meaning the two statements occur separately quot39 negative meaning the opposite of whatever statement it is placed in front of In addition we added n arrow symbol to represent causation or that one statement causes another to happen It literally is just an arrow looking something like this gt Algebraically a simple quotif thenquot statement would look something like this pquotquotgt0l Verbally this could look like If it is cold outside then I will wear a jacket Where quotIf it is cold outsidequot is quotpquot and quotthen I will wear a jacketquot is quotqquot I39ll throw a few more varied examples your way 1 If the weatherman does not predict rain then I will go for a walk Translation pmgt0l Since p is a negative condition does NOT predict as opposed to does predict it is necessary to use the tilde quot39 to signify it in the expression It follows as normal from there Math for Liberal Arts 116 2 If it rains and the weatherman does not predict rain then I will go for a walk and wear a jacket Translation p qgtrs This is where it can start getting tricky Important to note is that when two statements are grouped together in a sentence they must be grouped together algebraically with parentheses Think of it as order of operations just without actual operations You would need to add p and q together before multiplying them with r and s as pqrs is very different from pqrs Plug in any numbers for p q r and s to get what I mean So with that out of the way quotif it rainsquot is our positive first statementp and quotthe weatherman does not predict rainquot is our negative second statementNq They are linked by quotandquot signifying that the two occur at the same time Note that this linking of statements would happen before the arrow is drawn think of the comma as the arrow Thus the first part of our compound statement in pquot39q Add in the comma and we have pAquot39qgt Now we simply need to deal with the other side quotI will go for a walkquot is our positive third statement and quotwear a jacketquot is our positive fourth statement These two are also linked by the word quotandquot therefore they also occur together assuming the first part of the statement is true This makes the whole second compound statement quotrs Stick that on the other end of the arrow and voila The statement matches the translation above Additional Notes In terms of creating causal statements quotpquot and quotqquot can also be read as quotnecessary and sufficient conditionsquot This can be a bit complicated to figure out so let39s break it down a bit more In any above example of an quotif thenquot statement the quotifquot or quotpquot can be read as quotnecessaryquot while the quotthenquot or q can be read as quotsufficientquot Think of it this way p is necessary for q to happen quotHaving a microscope is necessary to see viruses This can also be written as quotIf you have a microscope then you can see virusesquot Inversely q is sufficient for p quotBeing able to see viruses is sufficient for having a microscopequot This can also be written as quotIf you can see viruses then you have a microscopequot It39s all technically the same as the initial lessons given above just the wording is different Simply put Math for Liberal Arts 116 If the sentence sound like quotX is necessary for Yquot it is simply still saying quotpgtqquot If the sentence sounds like quotX is sufficient for Yquot it is actually saying quotqgtpquot


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Anthony Lee UC Santa Barbara

"I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.