FREE BOOKS

Author's List




PREV.   NEXT  
|<   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126  
127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   >>   >|  
er the title of _Essays on some Unsettled Questions of political Economy_, almost as they now stand, except that in 1833 I partially rewrote the fifth Essay. They were written with no immediate purpose of publication; and when, some years later, I offered them to a publisher, he declined them. They were only printed in 1844, after the success of the _System of Logic_. I also resumed my speculations on this last subject, and puzzled myself, like others before me, with the great paradox of the discovery of new truths by general reasoning. As to the fact, there could be no doubt. As little could it be doubted, that all reasoning is resolvable into syllogisms, and that in every syllogism the conclusion is actually contained and implied in the premises. How, being so contained and implied, it could be new truth, and how the theorems of geometry, so different in appearance from the definitions and axioms, could be all contained in these, was a difficulty which no, one, I thought, had sufficiently felt, and which, at all events, no one had succeeded in clearing up. The explanations offered by Whately and others, though they might give a temporary satisfaction, always, in my mind, left a mist still hanging over the subject. At last, when reading a second or third time the chapters on Reasoning in the second volume of Dugald Stewart, interrogating myself on every point, and following out, as far as I knew how, every topic of thought which the book suggested, I came upon an idea of his respecting the use of axioms in ratiocination, which I did not remember to have before noticed, but which now, in meditating on it, seemed to me not only true of axioms, but of all general propositions whatever, and to be the key of the whole perplexity. From this germ grew the theory of the Syllogism propounded in the Second Book of the _Logic_; which I immediately fixed by writing it out. And now, with greatly increased hope of being able to produce a work on Logic, of some originality and value, I proceeded to write the First Book, from the rough and imperfect draft I had already made. What I now wrote became the basis of that part of the subsequent Treatise; except that it did not contain the Theory of Kinds, which was a later addition, suggested by otherwise inextricable difficulties which met me in my first attempt to work out the subject of some of the concluding chapters of the Third Book. At the point which I had now reached I made a halt, w
PREV.   NEXT  
|<   102   103   104   105   106   107   108   109   110   111   112   113   114   115   116   117   118   119   120   121   122   123   124   125   126  
127   128   129   130   131   132   133   134   135   136   137   138   139   140   141   142   143   144   145   146   147   148   149   150   151   >>   >|  



Top keywords:

axioms

 

subject

 

contained

 

implied

 

general

 

reasoning

 

thought

 

suggested

 

offered

 

chapters


propositions
 

interrogating

 

Stewart

 
Dugald
 
perplexity
 
remember
 

respecting

 
ratiocination
 

meditating

 

noticed


increased

 

Theory

 

addition

 

Treatise

 

subsequent

 

inextricable

 

reached

 

concluding

 

attempt

 

difficulties


writing
 
greatly
 
volume
 

immediately

 

theory

 

Syllogism

 

propounded

 

Second

 
imperfect
 
proceeded

produce

 

originality

 
Whately
 

paradox

 
discovery
 

puzzled

 
speculations
 

System

 

resumed

 
truths