good venn diagram creator or editable interactive diagram template format 19 venn diagram creator 4 circles.
elegant venn diagram creator for 3 circle diagram template education world three circle 62 venn diagram generator freeware.
elegant venn diagram creator and diagram maker unique diagram awesome excel templates diagram excel 87 venn diagram creator for sets.
fresh venn diagram creator or diagram use this template 76 venn diagram programme.
idea venn diagram creator or triple diagram template 73 best free venn diagram creator.
fresh venn diagram creator for golf a diagram generator 25 venn diagram creator excel.
awesome venn diagram creator and celebrity interactive diagram template creator 99 venn diagram maker free printable.
new venn diagram creator or 3 set diagram template circle circles way 79 venn diagram maker free download.
awesome venn diagram creator and 76 venn diagram creator free.
lovely venn diagram creator and diagram template worksheet 39 venn diagram maker free printable.
new venn diagram creator and 2 circles diagram template free download 56 venn diagram software.
amazing venn diagram creator for 4 circle diagram template word doc for free 33 venn diagram tool.
luxury venn diagram creator and google suggest diagram 47 venn diagram programme.
lovely venn diagram creator and triple diagram maker of plant cell simple diagram template 56 best free venn diagram creator.
luxury venn diagram creator and printable diagram template three part 4 templates 97 venn diagram creator free.
venn diagram creator for diagram template 14 venn diagram maker.
idea venn diagram creator for 5 circle diagram template best of stock royalty free amp vectors 44 venn diagram online tool free.
inspirational venn diagram creator for download diagram template 57 venn diagram creator free.
fresh venn diagram creator for diagram template 89 venn diagram maker free download.
unique venn diagram creator and printable 2 circles diagram template 45 venn diagram creator 3 circles.
good venn diagram creator or 63 venn diagram creator free.
inspirational venn diagram creator or diagram template with lines format 85 venn diagram maker free online.
new venn diagram creator for use this free template for a ornament diagram with your students this season ideas for sets foods i love foods well have at 56 venn diagram online tool free.
beautiful venn diagram creator or diagrams 91 venn diagram creator free.
beautiful venn diagram creator for stress vs passion diagram 78 venn diagram creator 4 circles.
Euler diagrams are similar to Venn diagrams, in that both compare distinct sets using logical connections. Where they differ is that a Venn diagram is bound to show every possible intersection between sets, whether objects fall into that class or not; a Euler diagram only shows actually possible intersections within the given context. Sets can exist entirely within another, termed as a subset, or as a separate circle on the page without any connections - this is known as a disjoint. Furthering the example outlined previously, if a new set was introduced - birds - this would be shown as a circle entirely within the confines of the mammals set (but not overlapping sea life). A fourth set of trees would be a disjoint - a circle without any connections or intersections.
The structure of this humble diagram was formally developed by the mathematician John Venn, but its roots go back as far as the 13th Century, and includes many stages of evolution dictated by a number of noted logicians and philosophers. The earliest indications of similar diagram theory came from the writer Ramon Llull, whos initial work would later inspire the German polymath Leibnez. Leibnez was exploring early ideas regarding computational sciences and diagrammatic reasoning, using a style of diagram that would eventually be formalized by another famous mathematician. This was Leonhard Euler, the creator of the Euler diagram.
Usage for Venn diagrams has evolved somewhat since their inception. Both Euler and Venn diagrams were used to logically and visually frame a philosophical concept, taking phrases such as some of x is y, all of y is z and condensing that information into a diagram that can be summarized at a glance. They are used in, and indeed were formed as an extension of, set theory - a branch of mathematical logic that can describe objects relations through algebraic equation. Now the Venn diagram is so ubiquitous and well ingrained a concept that you can see its use far outside mathematical confines. The form is so recognizable that it can shown through mediums such as advertising or news broadcast and the meaning will immediately be understood. They are used extensively in teaching environments - their generic functionality can apply to any subject and focus on my facet of it. Whether creating a business presentation, collating marketing data, or just visualizing a strategic concept, the Venn diagram is a quick, functional, and effective way of exploring logical relationships within a context.
Logician John Venn developed the Venn diagram in complement to Eulers concept. His diagram rules were more rigid than Eulers - each set must show its connection with all other sets within the union, even if no objects fall into this category. This is why Venn diagrams often only contain 2 or 3 sets, any more and the diagram can lose its symmetry and become overly complex. Venn made allowances for this by trading circles for ellipses and arcs, ensuring all connections are accounted for whilst maintaining the aesthetic of the diagram.
A Venn diagram, sometimes referred to as a set diagram, is a diagramming style used to show all the possible logical relations between a finite amount of sets. In mathematical terms, a set is a collection of distinct objects gathered together into a group, which can then itself be termed as a single object. Venn diagrams represent these objects on a page as circles or ellipses, and their placement in relation to each other describes the relationships between them. Commonly a Venn diagram will compare two sets with each other. In such a case, two circles will be used to represent the two sets, and they are placed on the page in such a way as that there is an overlap between them. This overlap, known as the intersection, represents the connection between sets - if for example the sets are mammals and sea life, then the intersection will be marine mammals, e.g. dolphins or whales. Each set is taken to contain every instance possible of its class; everything outside the union of sets (union is the term for the combined scope of all sets and intersections) is implicitly not any of those things - not a mammal, does not live underwater, etc.
Other Collections of Venn Diagram Creator