3.16 Venn & Euler Diagrams

Mathematician John Venn was born in Hull, England, in 1834.

He is best known for Venn diagrams, pictorial representations of

the relations between sets that have become an oft-used tool

in the teaching of mathematics and logic, among other concepts.

Leonhard Euler was born in Basel, Switzerland, in 1707.

Though originally slated for a career as a rural clergyman,

Euler showed an early aptitude and propensity for mathematics,

and thus, after studying with Johan Bernoulli, he attended

the University of Basel and earned his master’s during his teens

Venn Diagram: wanted to show the interrelationship between things.

Euler Diagram: wanted to show interrelationship as well as hierarchy.

Venn and Euler Combination

Example:

- All dogs bark.

- No barking animals are cats.

- No dogs are cats

- All fathers are men.

- Some men are wealthy.

- Some fathers are wealthy.

Diagram Remarks

Venn & Euler Diagram Example: