John Venn (August 5, 1834–April 4, 1923) Eray Saltik 2006100088.

Slides:



Advertisements
Similar presentations
Chapter 12 Venn Diagrams Venn diagrams are illustrations used in the branch of mathematics known as set theory. They show the mathematical or logical relationship.
Advertisements

Chapter 4: Probability. LO1Describe what probability is and when one would use it. LO2Differentiate among three methods of assigning probabilities: the.
1. Number of Elements in A 2. Inclusion-Exclusion Principle 3. Venn Diagram 4. De Morgan's Laws 1.
1 Section 1.7 Set Operations. 2 Union The union of 2 sets A and B is the set containing elements found either in A, or in B, or in both The denotation.
Chapter 4 Probability.
Basic, Essential, and Important Properties of Sets
Unit 4 Using Venn Diagrams as a Study Aid. What is a Venn Diagram? Visual organizer 2 or more overlapping circles Shows similarities and differences –
Chapter 3: Set Theory and Logic
The inventor of the Venn diagram By Devin. John Venn was born August 4, 1834 in Hull, Yorkshire, England. John came from a Low Church Evangelical background.
Basic Concepts and Approaches
1 1 Slide STATISTICS FOR BUSINESS AND ECONOMICS Seventh Edition AndersonSweeneyWilliams Slides Prepared by John Loucks © 1999 ITP/South-Western College.
Famous Mathematician Leonhard Euler Charles Babbage Maggie Chang
Venn Diagram Guide Text Created by Edraw - Comprehensive Diagramming Software.
Ralph Waldo Emerson Born 25 May 1803 in Boston on Summer Street Father and grandfather were ministers From academic class: Ancestors for five generations.
Copyright © Cengage Learning. All rights reserved. Elementary Probability Theory 5.
Chapter 3 – Set Theory  .
Chapter 4 Probability ©. Sample Space sample space.S The possible outcomes of a random experiment are called the basic outcomes, and the set of all basic.
Sample space the collection of all possible outcomes of a chance experiment –Roll a dieS={1,2,3,4,5,6}
Topic 2: Intro to probability CEE 11 Spring 2002 Dr. Amelia Regan These notes draw liberally from the class text, Probability and Statistics for Engineering.
1 Chapter 4 – Probability An Introduction. 2 Chapter Outline – Part 1  Experiments, Counting Rules, and Assigning Probabilities  Events and Their Probability.
The Durkheim Pages Brought to You by Sonal and Menisha One Of The Forefathers Of Sociology.
Geometric Construction & Modeling Basics. Points A point represents a location in space or on a drawing. It has no width, height or depth. Sketch points.
Probability The Language of Sets
Objectives: Find the union and intersection of sets. Count the elements of sets. Apply the Addition of Probabilities Principle. Standard Addressed:
Chapter 4, continued.... III. Events and their Probabilities An event is a collection of sample points. The probability of any one event is equal to the.
3.3 Finding Probability Using Sets. Set Theory Definitions Simple event –Has one outcome –E.g. rolling a die and getting a 4 or pulling one name out of.
Chapter 6 Lesson 6.1 Probability 6.1: Chance Experiments and Events.
Émile Durkheim April 15, November 15, 1917.
Chapter 2 Section 3 - Slide 1 Copyright © 2009 Pearson Education, Inc. AND.
BIA 2610 – Statistical Methods
August 2006 Copyright © 2006 by DrDelMath.Com 1 Introduction to Sets Basic, Essential, and Important Properties of Sets.
Union and Intersection
Copyright Curt Hill Euler Circles With Venn Diagrams Thrown in for Good Measure.
© 2010 Pearson Prentice Hall. All rights reserved Chapter Sampling Distributions 8.
Relationships Between Sets. Union If we have two sets we might want to combine them into one big set. The Union of A and B is written We don’t bother.
THE MATHEMATICAL STUDY OF RANDOMNESS. SAMPLE SPACE the collection of all possible outcomes of a chance experiment  Roll a dieS={1,2,3,4,5,6}
Jons Jacob Berzelius A presentation by: Blane Malcomson.
Philosophers of The Enlightenment Kayleigh Williams MontesquieuVoltaireDiderot.
Great Scientists 27 February 2013 by Jeea. William Henry.
Relationships Between Sets. Intersection Just like the intersection of two roads, the intersection of two sets are the elements that are members of both.
Copyright 2013, 2010, 2007, Pearson, Education, Inc. Section 2.3 Venn Diagrams and Set Operations.
1 Probability- Basic Concepts and Approaches Dr. Jerrell T. Stracener, SAE Fellow Leadership in Engineering EMIS 7370/5370 STAT 5340 : PROBABILITY AND.
Author Biography H.G. Wells English 12. Through College Herbert George Wells Born: September 21, 1866 in Bromley, Kent, England He entered college in.
Union and Intersection of Sets. Definition - intersection The intersection of two sets A and B is the set containing those elements which are and elements.
AP Statistics Monday, 09 November 2015 OBJECTIVE TSW investigate the basics of probability. ASSIGNMENTS DUE (wire basket) –WS Counting Principle #1 TODAY’S.
Chapter 4 Probability and Counting Rules. Introduction “The only two sure things are death and taxes” A cynical person once said.
JOHN VENN ( ) CmpE 220 Fall 2010 Semih Aklar
Solving Problems using Venn Diagram Mr. Albert F. Perez June 29, 2015.
CHAPTER 3 SETS, BOOLEAN ALGEBRA & LOGIC CIRCUITS
CHAPTER 2 Set Theory.
G2.4 – Set Operations There are some operations that we can do on sets. Some of them will look very similar to operations from algebra. August 2006 Copyright.
Probability I.
Probability Lesson 5: Venn Diagrams
Probability.
Chapter 4 Probability Concepts
Probability I.
Probability I.
Some Key Ingredients for Inferential Statistics
Section 2.3 Venn Diagrams and Set Operations
Probability I.
Venn Diagrams and Partitions
Relationships Between Sets
CHAPTER 2 Set Theory.
15.1 Venn Diagrams.
Probability I.
Probability I.
VENN DIAGRAMS By Felicia Wright
PROBABILITY Vocabulary: Theory Book
Presentation transcript:

John Venn (August 5, 1834–April 4, 1923) Eray Saltik 2006100088

John Venn British logician and philosopher,born at Yorkshire in 1834 John Venn's mother, Martha Sykes, came from Swanland near Hull, Yorkshire and died while John was still quite young . Venn's father, Rev Henry Venn and his grandfather, Rev John Venn played a prominent role in the evangelical Christian movement .

John Venn Although it was expected that he would follow the family tradition into the Christian ministry; after Highgate School, Venn entered Gonville and Caius College, Cambridge, in 1853. He graduated in 1857 and shortly afterwards he was elected a fellow of the college. He was ordained as a deacon at Ely in 1858 and became a priest in 1859.

John Venn Venn's main area of interest was logic and he published three texts on the subject. He wrote The Logic of Chance which introduced the frequency interpretation of probability in 1866, Symbolic Logic which introduced the Venn diagrams in 1881, and The Principles of Empirical Logic in 1889.

John Venn In 1883, Venn was elected to the Royal Society. In 1897, he wrote a history of his college, called The Biographical History of Gonville and Caius College,1349–1897. He commenced a compilation of biographical notes of the alumni of Cambridge University, a work which was continued by his son, John Archibald Venn and published as Alumni Cantabrigienses in 10 volumes from 1922-1953.

Venn Diagram Venn diagrams or set diagrams are diagrams that show all hypothetically possible logical relations between a finite collection of sets. They are used in many fields, including set theory, probability, logic, statistics, and computer science. 6

Venn Diagram A Venn diagram is a diagram constructed with a collection of simple closed curves drawn in the plane. The principle of these diagrams is that classes be represented by regions in such relation to one another that all the possible logical relations of these classes can be indicated in the same diagram. 7

Venn Diagram 8

Venn Diagram Venn diagrams normally consist of overlapping circles. For instance, in a two-set Venn diagram, one circle may represent the group of all wooden objects, while another circle may represent the set of all tables. The overlapping area (intersection) would then represent the set of all wooden tables. Shapes other than circles can be employed and this is necessary for more than three sets. 9

Venn Diagram Top:an Euler diagram for set inclusion. Below, middle to bottom: set union and intersection illustrated by Venn diagrams. 10

Venn Diagram Stained glass window at Gonville and Caius College, Cambridge, commemorating Venn and the Venn diagram. 11

Thank You!