FREE BOOKS

Author's List




PREV.   NEXT  
|<   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54  
55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   >>   >|  
is on these alone that the general proposition, if made, would rest. Indeed, thus are in fact drawn, as well the inferences of children and savages, and of animals (which latter having no signs, can frame no general propositions), as even those drawn by grown men generally, from personal experience, and particularly the inferences of men of high practical genius, who, not having been trained to generalise, can apply, but not state, their principles of action. Even when we have general propositions we need not use them. Thus Dugald Stewart showed that the axioms need not be expressly adverted to in order to make good the demonstrations in Euclid; though he held, inconsistently, that the definitions must be. All general propositions, whether called axioms, or definitions, or laws of nature, are merely abridged statements of the particular facts, which, as occasion arises, we either think we may proceed on as proved, or intend to assume. In short, all inference is from particulars to particulars; and general propositions are both registers or memoranda of such former inferences, and also short formulae for making more. The major premiss is such a formula; and the conclusion is an inference drawn, not from, but according to that formula. The _actual_ premisses are the particular facts whence the general proposition was collected inductively; and the syllogistic rules are to guide us in reading the register, so as to ascertain what it was that we formerly thought might be inferred from those facts. Even where ratiocination is independent of induction, as, when we accept from a man of science the doctrine that all A is B; or from a legislator, the law that all men shall do this or that, the operation of drawing thence any particular conclusion is a process, not of inference, but of interpretation. In fact, whether the premisses are given by authority, or derived from our own (or predecessors') observation, the object is always simply to interpret, by reference to certain marks, an intention, whether that of the propounder of the principle or enactment, or that which we or our predecessors had when we framed the general proposition, so that we may draw no inferences that were not _intended_ to be drawn. We assent to the conclusion in a syllogism on account of its consistency with what we interpret to have been the intention of the framer of the major premiss, and not, as Dr. Whately held, because the supposition of a false con
PREV.   NEXT  
|<   30   31   32   33   34   35   36   37   38   39   40   41   42   43   44   45   46   47   48   49   50   51   52   53   54  
55   56   57   58   59   60   61   62   63   64   65   66   67   68   69   70   71   72   73   74   75   76   77   78   79   >>   >|  



Top keywords:
general
 
inferences
 
propositions
 

inference

 

proposition

 
conclusion
 
axioms
 

predecessors

 

premisses

 

formula


particulars

 
premiss
 

definitions

 

interpret

 
intention
 

syllogism

 

ascertain

 

account

 

assent

 

ratiocination


inferred

 

thought

 

intended

 

reading

 

Whately

 
supposition
 
collected
 

framer

 
consistency
 

inductively


syllogistic

 

register

 

accept

 

interpretation

 

authority

 
propounder
 

principle

 

process

 

derived

 

observation


object

 

reference

 
drawing
 

operation

 

doctrine

 
framed
 
science
 

induction

 

simply

 
enactment