The Game of Logic
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''The Game of Logic'' is a book, published in 1886, written by the English mathematician Charles Lutwidge Dodgson (1832–1898), better known under his literary pseudonym
Lewis Carroll Charles Lutwidge Dodgson (; 27 January 1832 – 14 January 1898), better known by his pen name Lewis Carroll, was an English author, poet and mathematician. His most notable works are '' Alice's Adventures in Wonderland'' (1865) and its sequ ...
. In addition to his well-known children's literature, Dodgson/Carroll was an academic mathematician who worked in
mathematical logic Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal ...
. The book describes, in an informal and playful style, the use of a
board game Board games are tabletop games that typically use . These pieces are moved or placed on a pre-marked board (playing surface) and often include elements of table, card, role-playing, and miniatures games as well. Many board games feature a co ...
to represent logical
proposition In logic and linguistics, a proposition is the meaning of a declarative sentence. In philosophy, " meaning" is understood to be a non-linguistic entity which is shared by all sentences with the same meaning. Equivalently, a proposition is the no ...
s and inferences. Dodgson/Carroll incorporated the game into a longer and more formal introductory logic textbook titled ''Symbolic Logic'', published in 1897. The books are sometimes reprinted in a single volume. The book aims to teach players the fundamentals of logic by asking players to use coins on a board. The proposition used in this context is: "Some fresh cakes are sweet." The game world is divided into four quadrants. It is to be played with five gray coins and four red coins. A red coin symbolizes one or more cakes being present in an area while a gray coin symbolizes the absence of the cake(s). Each quadrant represents a variation of the original proposition. The cakes are fresh and sweet within the northwest quadrant. They are fresh but not sweet in the northeast. They are neither fresh nor sweet in the southeast. They are not fresh but are sweet in the southwest. The four quadrants are further divided into two subclasses: cakes that are eatable and those that are non-eatable. This subdivision allows players to understand more complex propositions and syllogisms. The second half of the book introduces players to a 2x2x2 diagram. This allows for players to solve problems involving three propositions at the same time. The book is divided into several chapters. The first portion, "To My Childhood-Friend" is as an introduction from the author to his readers. This is followed by a preface chapter. Chapter 1 is divided into three parts. In the first part, the author describes the three different types of propositions that will be used. The second part is an outlook on the "Universe of Things" and syllogisms. The third part of the chapter explains the logic to be used and the associated fallacies. This marks the end of the first chapter. The second chapter presents various questions for readers to answer. These questions are then answered and explained by the author in the third chapter. The last and fourth chapter contains various logic games.


See also

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Logic puzzle A logic puzzle is a puzzle deriving from the mathematical field of deduction. History The logic puzzle was first produced by Charles Lutwidge Dodgson, who is better known under his pen name Lewis Carroll, the author of ''Alice's Adventures in W ...
*
Carroll diagram A Carroll diagram, Lewis Carroll's square, biliteral diagram or a ''two-way table'' is a diagram used for grouping things in a yes/no fashion. Numbers or objects are either categorised as 'x' (having an attribute x) or 'not x' (not having an attri ...


References


External links


Scanned copy at archive.org

Entry at gutenberg.org

Online resource including demonstration tool for The Game of Logic
1886 non-fiction books Board games introduced in the 1880s Books about board games British board games Educational board games Logic Recreational mathematics Works by Lewis Carroll {{logic-stub