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Conditional: If a figure is a triangle, then it has exactly 180 in it. ... If the conditional is true, then the contrapositive is also true. ...
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For Exercises 3 6, use the following statement: ... 2 and 5 are corresponding angles formed by AB and XY cut by ... Because AB is opposite C, the longest side ...
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If an angle is 140 , then it is obtuse. If you wear Nike shoes, you'll run faster. ... 140, then it is obtuse. Conditional: Converse: Inverse: Contrapositive: ...
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Section 5-1, Midsegments of a Triangle. Section 5-2, Bisectors in Triangles ... Section 5-4, Inverses, Contrapositives, and Indirect Reasoning ...
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Converse and Inverse. The converse and inverse are contrapositives and are equivalent. q p is the converse of p q. ~p ~q is the inverse of p q. Conditional Statements ...
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Chapter 6 Inequalities in Geometry SECTION 6-1 Inequalities THEOREM 6-1 The measure of an exterior angle of a triangle is greater than the measure of either remote ...
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Conditional Statements Section 2-2 Objective Students will be able to recognize conditional statements and their parts to write converses, inverses, and ...
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Title: Geometry Author: Kathryn Middlestead Last modified by: Kathryn Middlestead Created Date: 8/16/2006 12:00:00 AM Document presentation format
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If Mike visits Norfolk, then he will go to Busch Gardens ... If Mike did not ride the Drachen fire, then he did not go to Busch Gardens ...
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Philosophy 1100 Class #8 Title: Critical Reasoning Instructor: Paul Dickey E-mail Address: pdickey2@mccneb.edu Website:http://mockingbird.creighton.edu/NCW/dickey.htm
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Warm-up Get all papers passed back Get out a new sheet for ch. 6 warm-ups Solve .. x + 2 5 x 9 10 10
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The Resolution Refutation Proof Technique for First-Order Logic. Fall ... The other textbooks I considered are: David Poole, Alan Mackworth, and Randy Goebel. ...
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... applications where grammars are used as models of real-world physical structures. ... Intricate overall structural property of a grammar ...
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Deductive Arguments: ... underlined term is distributed. Otherwise, the term is not distributed. Using the Rules Method To Test Validity Some Dogs are Not Poodles.
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UNIVERSITY OF SOUTH CAROLINA. Department of Computer Science and ... The rete algorithm builds a dataflow network to allow for reuse of matchings; it ...
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... not change if the antecedent and consequent are reversed and both are negated: ... Write the negation of: If too much homework is given, a class should not ...
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The midsegment of a triangle is a segment connecting the ... If a triangle has two equal sides, then it is an isosceles triangle. What is the converse? ...
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5.1.* Chapter 5 - Set Theory 1. Basic Definitions 2. Empty Set, Partitions, Power Set 3. Properties of Sets
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Use the Law of Syllogism to create a new conditional statement from the ... Use the Law of Syllogism or the Law of Detachment to make a valid conclusion or ...
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Day 10 Today s Agenda Inductive reasoning Counterexamples Conditional Statements Inverse Converse Contrapositive Truth Tables Conjunctions Disjunctions ...
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Approximating ContextFree Grammar Ambiguity
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Time, properties, composition, numbers, physicalism, physicalism about ... Perhaps in the case of existence, composition, persistence, properties? ...
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Geometry Chapter 2: Reasoning and Proof Homework (cont.) Homework (cont.) Example One Given: PQ = RS. Prove: PR = QS. Your Turn Given: PR = QS Prove: PQ = RS Segment ...
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Chapter 2 Reasoning and Proof
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1st Quarter Review of Geometry topics taught to students at Holmes High School in Covington, KY.
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Week s Schedule Mon: Lesson 1.1 Logic Tue: Lesson 1.2 Patterns Wed: Lesson 1.3 Conditional Statements Thu: Lesson 1.3 (continued) conditional statements in symbolic ...
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Converse Flip the hypothesis and conclusion If p, then q becomes If q, ... If you drive a mustang, then it is red. False, You drive a mustang that is black. b.
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MAT 2720 Discrete Mathematics Section 2.2 More Methods of Proof Part II http://myhome.spu.edu/lauw Goals Indirect Proofs Contrapositive Contradiction Proof by ...
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If you want to write a fantasy novel. By Charles Marshall Conventional Statement If you want to write a fantasy novel, then you need a good idea to start with.
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GEOMETRY FINAL REVIEW-ch. 2. The given statement is a valid geometric proposition. Statement: If a triangle has two congruent angles, then it is an isosceles triangle.
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Title: PowerPoint Presentation Last modified by: cvasey Created Date: 1/1/1601 12:00:00 AM Document presentation format: On-screen Show Other titles
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Lesson 2.2 Analyze Conditional Statements ... It only takes one counterexample to show it s false. Use Guitar players are musicians. to write the following.
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The Null Hypothesis Modus Tollens*: The Logic of the Null Hypothesis *Modus tollens (Latin: mode that denies) is the formal name for indirect proof or proof by ...
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Slides developed at the University of Florida for course COT3100, Applications of Discrete Structures, Spring 2001 & 2003.
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Title: Slides for Rosen, 5th edition Subject: Discrete Mathematics Author: Michael P. Frank Description: Slides developed at the University of Florida for course ...
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3 : (Methods of Proof) CHANON CHUNTRA ...
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Converse: If Maria was born in a leap year, then her birthday is February 29; False. Inverse: If Maria s birthday is not February 29, ...
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Use the Law of Detachment or the Law of Syllogism to determine whether a valid conclusion can be reached from the following set of statements: ...
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2.1 Conditional Statements Conditional Statement Conditional statement has two parts, hypothesis and a conclusion. If _____, then_____. hypothesis ...
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Warm Up(Add to Notes) 1. Write a conditional from the sentence An isosceles triangle has two congruent sides. 2. Write the contrapositive of the conditional ...
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... the kitchen table, then I saw them at breakfast ... I did not see my glasses at breakfast. If I was reading my book in bed, then my glasses are on the bed table ...
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* Geometry * Goals Recognize and analyze a conditional statement Write postulates about points, lines, and planes ... Inverse: If 2 angles ... PowerPoint Presentation ...
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Conceptual Foundations of Computing Lecture 1
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The Role of Logic and Proof in Teaching Discrete Mathematics Summer Workshop on Discrete Mathematics Messiah College June 2006 Susanna S. Epp
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Title: MAT1225 Author: bradg Last modified by: lauw Created Date: 9/24/2002 8:57:52 PM Document presentation format: On-screen Show (4:3) Company: Seattle Pacific ...
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More Number Theory Proofs Rosen 1.5, 3.1 Prove or Disprove If m and n are even integers, then mn is divisible by 4. The sum of two odd integers is odd.
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A Short Introduction to Logic Summer School on Proofs as Programs 2002 Eugene (Oregon) Stefano Berardi Universit di Torino stefano@di.unito.it http://www.di.unito ...
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* * * * * * * * * * * * * * MA.912.G.2.2: Determine the measures of interior and exterior angles of polygons, justifying the method used * A regular pentagon and a ...
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To write the negation, converse, inverse, and contrapositive of a conditional statement and identify its truth value ... The ball is red. The cat is not black.
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Modus Tollens If p then q. ~q ~p ~p ~q p q q p Modus tollens is Latin meaning method of denying . Equivalence A student is trying to prove that propositions ...
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Proof Techniques Chuck Cusack These notes are loosely based on material from section 3.1 of Discrete Structures and its Applications, 4th Edition
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Propositional Equivalences ...
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CONVERSE. If you obey your thirst, then you drink Sprite. q p. 3. CONTRAPOSITIVE ... CONVERSE. If you're worth it, then you use L'Or al products. q p. 3 ...
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Implication Graphs and Logic Testing Vishwani D. Agrawal James J. Danaher Professor Dept. of ECE, Auburn University Auburn, AL 36849 vagrawal@eng.auburn.edu
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Knock over the first domino and they all will fall. Suppose they don't all fall. ... Top-Down, Recursive Program: Return Fib(x); Procedure Fib(k) If k=0 return 0 ...
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