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GNED 1101 study notes

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Mount Royal University (MRU )

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GNED 1101 MRU

The notes are written in questions related to the objectives of the course. The answers to these questions are between the brackets. Use the right cells of the document to determine whether you know the answers. Use date and colour coordinate it. Red indicates you cannot recall the answer. Yellow i...

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Uploaded on January 2, 2021
Number of pages 8
Written in 2020/2021
Type Class notes
Professor(s) Monique horbay
Contains All classes

gned 1101
monique horbay
statements
negation
conjunction
statistic
number representation
analysis of a sch
scientific and mathematical literacy in the modern world
scientific and mathematical literacy

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Section 1 Statements, Negations, Conjunction and Quantified statements
1.Identify english sentences that are statements
2.Express statements using symbols
3.Form the negation of a statement
4. Express negations using symbols
5.Translate a negation represented by symbols into english
6. Express quantified statments in two ways
7. Write negations of wuantified statements

1.what is a statement ( is a sentence either true or false ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is not a statement ( opinion, questions, exclamations, order) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what symbol do we use for a statement ( p, q, r, s ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
2.what is a negation ( the opposite of the given statement ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what words can we use to negate a statement ( it is not true ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
symbol for negate statement ( ~p ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what does ~p mean ( "not p" or " it is not true that p." ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
translating a symbolic stamement into words ~p ( it is not true that p ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
3. What is a Quantified statement ( a statement containing all, some, and none ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what are the quatified statements ( All "A" are "B", Some "A" are B", No "A" are "B", Some "A" are not "B" ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
the eq of All "A" are "B" ( there is not one A that is not B ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
the eq of Some "A" are B ( there exist one A that is B ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
the eq of No "A" are "B" ( All A are not B ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
the eq of Some "A" are not "B" ( not all A are B ) 05/08/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
4. Negation of a quantified statement All "A" are "B" ( Some A are not B ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
Negation of No "A" are "B" ( Some A are B ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
6/16/2020 6/17/2020
Section two Compound Statements 6/16/2020 6/17/2020
1. Express the compound statement in symbolic form
2.Express symbolic statements with parentheses in english
3. Use the dominance connectives

1.What is a compound statement ( statements form from combining two or more simple statments ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/17/2020
what are connectives used in a compound statement ( and, or, if, and if and only if ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/17/2020

AND STATMENTS
what is a conjuction ( compound statements formed by connecting statements with the word "and" ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is the symbol for and ( ^ ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what i the symbolic form of statements it is 5pm they are working and it is 5pm they are not working ( p ^ q and p ^ q ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what are other connectives ( but, yet, nevertheless ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what i a conjunction ( can be broken down into two sentences ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
example ( beer and pizza are not rec for people with uclers 1. pizza is not rec for people w/ulcers 2. beer " " ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
OR STATMENTS
what is an exclusive or ( " one or the other but not both" ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is an inclusive or ( " one or the other or both" ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what or is used in mathematics ( inclusive ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is used in two simple sentences rep by p or q ( p or q or both ) 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is a nondisjunction ( compound statments by connecting simple statements by the word or ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
how is non disjuction represented ( V ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
IF THEN STATEMENTS
what is aa conditional statements ( connecting simple statements with "if then " ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is if statment ( if q then p ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is the symbol ( -> ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is the antecedent ( the statment before the connective or the symbol ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is the codequent ( the statment after the connective ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is conditional ( one direction ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is Biconditional ( two way ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what are the common english expression for bi conditional
p if and only if q 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
q if and only if p 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
if p then q, and if q then p 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
p is nesceceasry and suffienct for q 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
q is nesscesart and suffient for p 05/06/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020

, q is nescessary for p ( the symoblic for would be p -> q the statment after the word nesccessary is the antecedent ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
q is suffient for p ( the symbolic form woubd be q -> p the the statement before suffient is the atecendent ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
SYMBOLIC STATEMENTS WITH PARAENTHESIS
what the parentheses mean ( either negation of entire sentence p q, or to indicate a comma in groupings ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
~ ( p ^ q ) ( negation of entire sentence ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
when expressesd in english paretheses are view ( a comma to indicate groupings ) 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
How is a statment determine from compound statements containting more then one connecrtive ( the one outside of the bracket ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
where is the comma placed in compound statements containing more than one connective ( the simple statment in paraenthisis appear on the same side as the coma ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
DOMINANCE OF CONNECTIVES
If a symbolic statements appears without parentheses ( statements before and after the most dominant connectives ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is the order of dominance ( Biconditionl > Conditional > Conjuction/Disjunction > Negation ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
Clinton Lew
When expressesd in english paretheses are view ( a comma to indicate groupings ) 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
When am I supposed to use the dominance of connectives ( if grouping symbols are not given in compound symbolic statements or commas ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020

Section 3 Truth tables for Negation, Conjuction, and Disjunction 05/05/2020 05/08/2020 05/24/2020 6/16/2020
classifying a true statment is called ( assigning a truth value to the statement ) 05/05/2020 05/08/2020 6/16/2020 6/17/2020
the negation of a false statment is ( true ) 05/05/2020 05/08/2020 05/24/2020 6/16/2020 6/17/2020
the negation of a true statment is ( false ) 05/05/2020 05/08/2020 05/24/2020 6/17/2020
if both statements are true then the compound statement is ( true ) 05/05/2020 6/16/2020
if one statement is false then the compound statement is ( false ) 05/05/2020 6/16/2020
if both statments is false then the compond statment is ( true) 05/05/2020 6/16/2020
when is a conjunction false ( when both statments are either or ) 05/05/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what are component statements ( statements making up a compound statement ) 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what are the truth tables for non disjunction ( when a component statement is true the compound statement is true ) 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
when is a conjuntion false ( when both component statements are false then the compond statement is false ) 05/05/2020 05/08/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
negation of a compound statment ( either not or not true ) 05/05/2020 05/08/2020 6/16/2020 6/17/2020
05/05/2020
~p ^ q ( not p and q ) 05/05/2020 05/24/2020
05/05/2020
CONSTRUCTING TRUTH TABLES FOR COMPOUND STATEMENT CONTAINING ONLY THE SIMPLE STATEMENTS P AND Q
what is filled in first ( component statements ) 05/05/2020 05/24/2020 6/16/2020
if a coloum heading involes negtion ( determine by taking the opposite of the coloum containing component statements ) 05/05/2020 05/24/2020 6/16/2020
if a coloum heading involes conjunction ( determine from component statements it is only true when both statements are true ) 05/24/2020 6/16/2020
if a coloum heading involes non disjunction ( determine from component statments it is false when both statements are false ) 05/24/2020 6/16/2020
What is TAUTOLOGY ( a compound statement that is always true ) 05/23/2020 05/24/2020 6/16/2020 6/17/2020
CONSTRUCTING A TRUTH TABLE WITH EIGHT CASES
what are the 8 cases of p q and r ( 4 true, 4 False, tt -> ff, tf ) 05/23/2020 05/24/2020 6/16/2020
when is the conjuntion true with 3 statements ( when p and q are true ) 05/23/2020 05/24/2020 6/16/2020

Section 4 Constructing truth tables for the conditional and the Biconditional
1. Understand the logic behind the definition of the conditional
2. Contruct truth tables for the conditional statement
3.Understand the definition of the biconditional
4.Construct truth tables for biconditional statements
5.Determine the truth value of a compound statement for specific case

what is the definition of the conditional ( a conditional is false only when the antcedent is true and the consequent is false ) 05/08/2020 05/24/2020 6/16/2020 6/17/2020
what is a biconditional ( true when the compent statement have the same truth value ) 05/08/2020 05/24/2020 6/16/2020 6/17/2020

Section 5 Equivalent Statments and variations of Conditional statements
1. Use a truth table to show that statements are equivalent
2. Wrtie the contrapositive for a conditional statement
3. Write the converse and inverse of a conditional statement

EQUIVALENT STATEMENT ( are made up of the same simple statements and have the same corresponding truth value for all true-false combination ) 05/24/2020 6/16/2020 6/17/2020
what is p v ~q equivalent to ( ~p -> ~q ) 05/12/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
the bill recieves marjority approval or the bill does not becomes the law eq to ( If the bill does not receieve marjority approval then the bill does not become the law ) 05/12/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is p v q eq to ( ~q -> p, or ~p -> q, or q V p ) 05/12/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is the symbol to show that statements are equivalent ( addidas sign three strips ) 05/12/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
Double negation of a statement is the eq of ( the statement ) 05/12/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020
what is an example of doube negation ( we can't not pay bills that weve already incurred = we can pay bills that weve already incurred ) 05/12/2020 6/16/2020 6/17/2020
when given multiple statment to determine eq ( build a truth table base on the statement then compare with orginal truth table ) 05/12/2020 05/23/2020 05/24/2020 6/16/2020 6/17/2020

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