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U of Penn, School of Venn Mystery Cache

Hidden : 6/7/2023
Difficulty:
3 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:


The University of Pennsylvania (South Glos) has the objective to bring American higher education to rural England. It has close links with the State University of Euphoria (colloquially known as Euphoric State). 

This is a new campus for the University, for the study of Venn Diagrams.   

A Venn diagram is a widely used diagram style that shows the logical relation between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory and to illustrate simple set relationships in probability, logic, statistics, linguistics, and computer science. A Venn diagram uses simple closed curves drawn on a plane to represent sets. Very often, these curves are circles or ellipses.

Similar ideas had been proposed before Venn such as by Christian Weise in 1712 (Nucleus Logicoe Wiesianoe) and Leonhard Euler (Letters to a German Princess) in 1768. The idea was popularised by Venn in Symbolic Logic, Chapter V "Diagrammatic Representation", published in 1881.

Venn diagrams are similar to Euler diagrams. However, a Venn diagram for n component sets must contain all 2n hypothetically possible zones, that correspond to some combination of inclusion or exclusion in each of the component sets. Euler diagrams contain only the actually possible zones in a given context. In Venn diagrams, a shaded zone may represent an empty zone, whereas, in an Euler diagram, the corresponding zone is missing from the diagram. For example, if one set represents dairy products and another cheeses, the Venn diagram contains a zone for cheeses that are not dairy products. Assuming that in the context cheese means some type of dairy product, the Euler diagram has the cheese zone entirely contained within the dairy-product zone—there is no zone for (non-existent) non-dairy cheese. This means that as the number of contours increases, Euler diagrams are typically less visually complex than the equivalent Venn diagram, particularly if the number of non-empty intersections is small.

At The University of Pennsylvania (South Glos) (BANES Campus) you can study a number of options relating to Venn.    There is "Pure Venn", which deals with the theory in detail.   Or various options of applied Venn.    One recent option is our course in Venn Meams, made popular on the Internet.   An example:

 

 

We also offer a joint degree with our Japanese Philosophy Department, known as the Zen-Venn degree.

 

Other, more classical programmes of Applied Venn include the study of music, chemistry, and physics.

This looks like a Venn, but isn't:

 

If you are interested in studying here, you need to pass our entrance exam.   Here is an example question.

 

Given:

 

 

 

 

 

 

 

 

 

Round X to 3 decimal places.

The cache can be found at   

N 51 X - 1.61   W 002 X - 2.478

Parking suggestion and cache hint in Certitude

 

You can validate your puzzle solution with certitude.

 

 

Puzzle is loosely based on an archived puzzle cache (not mine) which I loved, which might help some of you.. though only 21 people found it.     The original was more elegant, but I've chosen to alter it.   My apologies for stealing reusing the idea.  

Additional Hints (Decrypt)

[cache] Va Pregvghqr

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)