Bilateral Diagrams

The meaning of the diagrams below has been explained elsewhere. Here I only collected the simplest configurations for the reference sake.

Some x exist			No x exist
Some x' exist			No x' exist
Some y exist			No y exist
Some y' exist			No y' exist

Some xy exist    = Some x are y    = Some y are x			No xy exist    = No x are y    = No y are x
Some x'y exist    = Some x' are y    = Some y are x'			No x'y exist    = No x' are y    = No y are x'
Some x'y' exist    = Some x' are y'    = Some y' are x'			No x'y' exist    = No x' are y'    = No y' are x'
Some xy' exist    = Some x are y'    = Some y' are x			No xy' exist    = No x are y'    = No y' are x

All x are y			All x are y'
All x' are y			All x' are y'
All y are x exist			All y are x'
All y' are x			All y' are x'

Some x are y, some are y'			Some x' are y, some are y'
Some y are x, some are x'			Some y' are x, some are x'

Lewis Carroll

• Lewis Carroll's Logic Game (an introduction)
• Controversial Venn Diagrams
  • An Excerpt from The Science of Patterns
  • From W.Dunham, The Mathematical Universe
  • Venn Diagrams applet I
  • Venn Diagrams (an interactive activity)
• Bilateral Diagrams
  • Bilateral Diagrams (a comprehensive table)
  • Bilateral Diagrams (an interactive tool) Game
• Syllogisms
• Lewis Carroll's Logic Game (trilateral diagrams)
  • Interpretation of Trilateral Diagrams
  • Lewis Carroll's Logic Game (an interactive tool)
• Sample soriteses
• Lewis Carroll's Logic Game (rules and a tool)

|Contact| |Front page| |Contents| |Up|

Copyright © 1996-2018 Alexander Bogomolny