Venn Diagram - Finite Mathematics 11/94

Date:         Wed, 16 Nov 1994 21:26:00 CST
Sender:       DESIGN-L "Basic and applied design" (Art and Architecture)
From:         carr0023@gold.tc.umn.edu
Subject:      Venn Diagram - Finite Mathematics

	  

 Venn Diagrams are visual diagrams which can obtain relationships between
 things that exist in the universe.  The universe is represented by a box
 like this...        _____________________
                     |          universe |
                     |                   |      Things inside this box are
                     |                   |      of U (universe) are sets
                     |___________________|      of U.  These are indicated
                                                by crude ascii circles.
 This method is used to visualize the relationships between different things
 so to analyze (mathematize) the event (the whole diagram) of both the
 Universal set and whatever subsets there may be.  You can define your
 limits to the question.  My question is "what are the limits of ?"
 ____________________________________ ______________________________________
 |                        SCIENCE   | |                    ARCHITECTURE    |
 |                                  | |                                    |
 |         ____________             | |            ___________             |
 |        /            \            | |           /           \            |
 |       | ARCHITECTURE |           | |          |   SCIENCE   |           |
 |        \____________/            | |           \___________/            |
 |                                  | |                                    |
 |                                  | |                                    |
 |                                  | |                                    |
 ------------------------------------ --------------------------------------

 
        Architecture                            Science
        is a subset of science                  is a subset of architecture

 
 ____________________________________ ______________________________________
 |                      TECHNOLOGY  | |                    ARCHITECTURE    |
 |                                  | |                                    |
 |         ____________             | |            ___________             |
 |        /            \            | |           /           \            |
 |       | ARCHITECTURE |           | |          | TECHNOLOGY  |           |
 |        \____________/            | |           \___________/            |
 |                                  | |                                    |
 |                                  | |                                    |
 |                                  | |                                    |
 ------------------------------------ --------------------------------------

 
   Architecture                          Technology
   is a subset of technology             is a subset of architecture

 

 
 ____________________________________ ______________________________________
 |                      ELECTRITY   | |                    ARCHITECTURE    |
 |                                  | |                                    |
 |         ____________             | |            ___________             |
 |        /            \            | |           /           \            |
 |       | ARCHITECTURE |           | |          | ELECTRICITY |           |
 |        \____________/            | |           \___________/            |
 |                                  | |                                    |
 |                                  | |                                    |
 |                                  | |                                    |
 ------------------------------------ --------------------------------------

 
      Architecture                        Electricity
      is a subset of electricity          is a subset of architecture



____________________________________ ______________________________________
 |                  INFRASTRUCTURE  | |                   ARCHITECTURE     |
 |                                  | |                                    |
 |         ____________             | |            ____________            |
 |        /            \            | |           /            \           |
 |       | ARCHITECTURE |           | |          |INFRASTRUCTURE|          |
 |        \____________/            | |           \____________/           |
 |                                  | |                                    |
 |                                  | |                                    |
 |                                  | |                                    |
 ------------------------------------ --------------------------------------

 
         Architecture                     Infrastructure
         is a subset of infrastructure    is a subset of architecture
 ===========================================================================



   Confusion, but if the Universe were on the terms of architecture, how
   would it relate to the rest of the world; that is, if it supposes itself
   to be an agency of knowledge, etc.  What architecture today has any
   architectural relation to the subject of the scientific mind?  That is,
   that it lets people "see" through a building "what is" science, or what
   is technology, or what is, say, electricity [that thing we ignore as
   having subjective meaning].

 
       ----------------------------------------------------------------
       |          ________________  _________________               u |
       |         /                \/                 \                |
       |        /                /X\                  \               |
       |       |   architecture |XXX| infrastructure   |              |
       |        \                \X/                  /               |
       |         \________________/\_________________/                |
       |                                                              |
       |______________________________________________________________|

 
                         x = (classical)

 
       Two circles intersecting, being two subsets of U, means they
       have something in common, otherwise they would be independent
       and mutually exclusive events.  The XXXX represents shading of
       this thing in common, this connection, or intersection.

 

 
       ----------------------------------------------------------------
       |          ________________  _________________               u |
       |         /                \/                 \                |
       |        /                /X\                  \               |
       |       |   architecture |XXX|   electricity    |              |
       |        \                \X/                  /               |
       |         \________________/\_________________/                |
       |                                                              |
       |______________________________________________________________|


 
                        x = (the architecture of electricity)

 

 
       ----------------------------------------------------------------
       |          ________________  _________________               u |
       |         /                \/                 \                |
       |        /                /X\                  \               |
       |       |   architecture |XXX|    science       |              |
       |        \                \X/                  /               |
       |         \________________/\_________________/                |
       |                                                              |
       |______________________________________________________________|

 
                         x = (the architecture of the UN)