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A Venn diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict elements as points in the plane, and sets as regions inside closed curves. A Venn diagram consists of multiple overlapping closed curves, usually circles, each representing a set.
A logical graph is a special type of graph-theoretic structure in any one of several systems of graphical syntax that Charles Sanders Peirce developed for logic.. In his papers on qualitative logic, entitative graphs, and existential graphs, Peirce developed several versions of a graphical formalism, or a graph-theoretic formal language, designed to be interpreted for logic.
Boolean algebra, Venn diagrams and the propositional calculus: 1969 Mar: The multiple fascinations of the Fibonacci sequence: 1969 Apr: An octet of problems that emphasize gamesmanship, logic and probability 1969 May: The rambling random walk and its gambling equivalent 1969 Jun: Random walks, by semidrunk bugs and others, on the square and on ...
Square of opposition. The lower case letters (a, e, i, o) are used instead of the upper case letters (A, E, I, O) here in order to be visually distinguished from the surrounding upper case letters S (Subject term) and P (Predicate term). In the Venn diagrams, black areas are empty and red areas are nonempty. White areas may or may not be empty.
Information diagrams have also been applied to specific problems such as for displaying the information theoretic similarity between sets of ontological terms. [ 3 ] Venn diagram showing additive and subtractive relationships among various information measures associated with correlated variables X and Y .
A Euler diagram illustrating a fallacy: Statement 1: Most of the green is touching the red. Statement 2: Most of the red is touching the blue. Logical fallacy: Since most of the green is touching red, and most of the red is touching blue, most of the green must be touching blue. This, however, is a false statement.
Venn diagrams are illustrations of set theoretical, mathematical or logical relationships. Logic is the foundation that underlies mathematical logic and the rest of mathematics. It tries to formalize valid reasoning. In particular, it attempts to define what constitutes a proof. List of Boolean algebra topics; List of first-order theories
The term diagrammatology was also used in the title of the 2010 publication "Studies in Diagrammatology and Diagram Praxis" by Olga Pombo and Alexander Gerner. This volume is a collection of papers given at the interdisciplinary workshop on diagrammatology and diagram praxis held at the University of Lisbon, 23 – 24 March 2009.