About this ebook
Over 350 ingenious problems involving classical logic: logic is expressed in terms of symbols; syllogisms and the sorites are diagrammed; logic becomes a game played with two diagrams and a set of counters. Two books bound as one.
Lewis Carroll
Charles Lutwidge Dodgson, aka Lewis Carroll (1832–1898), was an English writer, mathematician, logician, deacon and photographer. He is most famous for his timeless classics, Alice’s Adventures in Wonderland and Through the Looking Glass. His work falls within the genre of ‘literary nonsense’, and he is renowned for his use of word play and imagination. Carroll’s work has been enjoyed by many generations across the globe.
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Game of Logic - Lewis Carroll
GAME OF LOGIC
BY
LEWIS CARROLL
Copyright © 2017 by Lewis Carroll.
All rights reserved. Printed in the United States of America. No part of this book may be used or reproduced in any manner whatsoever without written permission except in the case of brief quotations em- bodied in critical articles or reviews.
While every precaution has been taken in the preparation of this book, the publisher assumes no responsibility for errors or omissions, or for damages resulting from the use of the information contained herein.
For information contact :
Sheba Blake Publishing
http://www.shebablake.com
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Book and Cover design by Sheba Blake Publishing
First Edition: January 2017
TABLE OF CONTENTS
PREFACE
CHAPTER I.
CHAPTER II.
CHAPTER III.
CHAPTER IV.
---------------------
|9 | 10|
| | |
| -----x------ |
| |11 | 12| |
| | | | |
|---y-----m------y'---|
| | | | |
| |13 | 14| |
| -----x'----- |
| | |
|15 | 16|
---------------------
COLOURS FOR -------------
COUNTERS |5 | 6|
___ | x |
| | |
See the Sun is overhead, |--y-------y'-|
Shining on us, FULL and | | |
RED! | x' |
|7 | 8|
Now the Sun is gone away, -------------
And the EMPTY sky is
GREY!
___
To my Child-friend.
I charm in vain; for never again, All keenly as my glance I bend, Will Memory, goddess coy, Embody for my joy Departed days, nor let me gaze On thee, my fairy friend!
Yet could thy face, in mystic grace, A moment smile on me, 'twould send Far-darting rays of light From Heaven athwart the night, By which to read in very deed Thy spirit, sweetest friend!
So may the stream of Life's long dream Flow gently onward to its end, With many a floweret gay, Adown its willowy way: May no sigh vex, no care perplex, My loving little friend!
NOTA BENE.
With each copy of this Book is given an Envelope, containing a Diagram (similar to the frontispiece) on card, and nine Counters, four red and five grey.
The Envelope, &c. can be had separately, at 3d. each.
The Author will be very grateful for suggestions, especially from beginners in Logic, of any alterations, or further explanations, that may seem desirable. Letters should be addressed to him at 29, Bedford Street, Covent Garden, London.
PREFACE
There foam'd rebellious Logic, gagg'd and bound.
This Game requires nine Counters--four of one colour and five of another: say four red and five grey.
Besides the nine Counters, it also requires one Player, AT LEAST. I am not aware of any Game that can be played with LESS than this number: while there are several that require MORE: take Cricket, for instance, which requires twenty-two. How much easier it is, when you want to play a Game, to find ONE Player than twenty-two. At the same time, though one Player is enough, a good deal more amusement may be got by two working at it together, and correcting each other's mistakes.
A second advantage, possessed by this Game, is that, besides being an endless source of amusement (the number of arguments, that may be worked by it, being infinite), it will give the Players a little instruction as well. But is there any great harm in THAT, so long as you get plenty of amusement?
CHAPTER I.
NEW LAMPS FOR OLD.
Light come, light go.
_________
1. Propositions.
Some new Cakes are nice.
No new Cakes are nice.
All new cakes are nice.
There are three 'PROPOSITIONS' for you--the only three kinds we are going to use in this Game: and the first thing to be done is to learn how to express them on the Board.
Let us begin with
Some new Cakes are nice.
But before doing so, a remark has to be made--one that is rather important, and by no means easy to understand all in a moment: so please to read this VERY carefully.
The world contains many THINGS (such as Buns
, Babies
, Beetles
. Battledores
. &c.); and these Things possess many ATTRIBUTES (such as baked
, beautiful
, black
, broken
, &c.: in fact, whatever can be attributed to
, that is said to belong to
, any Thing, is an Attribute). Whenever we wish to mention a Thing, we use a SUBSTANTIVE: when we wish to mention an Attribute, we use an ADJECTIVE. People have asked the question Can a Thing exist without any Attributes belonging to it?
It is a very puzzling question, and I'm not going to try to answer it: let us turn up our noses, and treat it with contemptuous silence, as if it really wasn't worth noticing. But, if they put it the other way, and ask Can an Attribute exist without any Thing for it to belong to?
, we may say at once No: no more than a Baby could go a railway-journey with no one to take care of it!
You never saw beautiful
floating about in the air, or littered about on the floor, without any Thing to BE beautiful, now did you?
And now what am I driving at, in all this long rigmarole? It is this. You may put is
or are
between names of two THINGS (for example, some Pigs are fat Animals
), or between the names of two ATTRIBUTES (for example, pink is light-red
), and in each case it will make good sense. But, if you put is
or are
between the name of a THING and the name of an ATTRIBUTE (for example, some Pigs are pink
), you do NOT make good sense (for how can a Thing BE an Attribute?) unless you have an understanding with the person to whom you are speaking. And the simplest understanding would, I think, be this--that the Substantive shall be supposed to be repeated at the end of the sentence, so that the sentence, if written out in full, would be some Pigs are pink (Pigs)
. And now the word are
makes quite good sense.
Thus, in order to make good sense of the Proposition some new Cakes are nice
, we must suppose it to be written out in full, in the form some new Cakes are nice (Cakes)
. Now this contains two 'TERMS'--new Cakes
being one of them, and nice (Cakes)
the other. New Cakes,
being the one we are talking about, is called the 'SUBJECT' of the Proposition, and nice (Cakes)
the 'PREDICATE'. Also this Proposition is said to be a 'PARTICULAR' one, since it does not speak of the WHOLE of its Subject, but only of a PART of it. The other two kinds are said to be 'UNIVERSAL', because they speak of the WHOLE of their Subjects--the one denying niceness, and the other asserting it, of the WHOLE class of new Cakes
. Lastly, if you would like to have a definition of the word 'PROPOSITION' itself,