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## Math150Chapter3.pdf

by: amelia.beilke

79

0

1

# Math150Chapter3.pdf MATH 150

amelia.beilke

GPA 3.5

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These notes cover the vocabulary for chapter 3. Also, the vocab can be found at quizlet.com: https://quizlet.com/_1ist6a
COURSE
Introductory Discrete Mathematics
PROF.
Howle
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
Howle Chapter 3 Math 150
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by amelia.beilke on Tuesday February 2, 2016. The Class Notes belongs to MATH 150 at Winthrop University taught by Howle in Winter 2016. Since its upload, it has received 79 views. For similar materials see Introductory Discrete Mathematics in Mathematics (M) at Winthrop University.

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Date Created: 02/02/16
Math 150- Chapter 3 Study online quizlet.com/_1ist6a 1. All do (NEG) Some donot.(=not all do) 17.Existential some... 2. all p'sare q's Quantifiers there exists atleast one 18.inverse not antecedent then not consequent Ex:He does not bring his toothbrush or visits. 19. Negation a false version of a statement.*Negation and statement can never have the same truth value. EX:x>9 is x=9 EX:p=The window is open. circle within a circle NEG:~p 20.No p'sare q's 2 different circles are drawn. 3. Antecedent before 21.Some do (NEG) None do.(=all donot) 4. Antecedent -p implies q 22.Some p'sare q's venn diagram is drawn First when... -if p, then q -if p, q 23.Statement a declarative statement that is either true -p only if q or false, never both. -p is sufficent for q 24. -all p's are q's Tautology compound statement that is always true 5. Biconditional If and only if 25.Universal all.... Quantifiers every... Statement each 6. Compound a statement that has atleast one connective none Statement (if.., then..., not, or but ECT) and atleast one there exists atleast one simple statement (component).EX:Today is 26. not Thursday. What makesa INCLUDES: LOGICAL -Premises (rules, laws, assumptions) 7. Conditonal Compound statement using if/then ARGUMENT... -Conclusion Statement -If p, then q. -valid only if the fact that all premises are 8. Consequent after true and it forces the conclusion tobe 9. Consequent -q if p true. first when... -q is necessary for p -q when p 10.contrapositive not consequent then not antecedent Ex:He does not visit or he brings his toothbrush. 11.converse consequent then antecedent Ex:If he brings his toothbrush, then he visits. 12.Declarative needs a stated fact that is either true or false. Sentence 13.DeMorgan's A+B=NOT(NOT A .NOT B) Laws -Rules that allow the conversion between conjunction and disjunction -Disjunction=Conjunction or vice versa 14.Direct form antecedent then consequent Ex:If he visits, then he brings his toothbrush. 15.Disjunction pVq;p or q 16.Euler (oiler) A drawn representation of logical diagrams arguments.

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