FREE BOOKS

Author's List




PREV.   NEXT  
|<   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   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   >>   >|  
second vowel of _aff_Irmo). Some S is not P is called the PARTICULAR NEGATIVE, symbol O (the second vowel of _neg_O). The distinction between Universal and Particular is called a distinction in QUANTITY; between Affirmative and Negative, a distinction in QUALITY. A and E, I and O, are of the same quantity, but of different quality: A and I, E and O, same in quality, different in quantity. In this symbolism, no provision is made for expressing degrees of particular quantity. _Some_ stands for any number short of all: it may be one, few, most, or all but one. The debates in which Aristotle's pupils were interested turned mainly on the proof or disproof of general propositions; if only a proposition could be shown to be not universal, it did not matter how far or how little short it came. In the Logic of Probability, the degree becomes of importance. Distinguish, in this Analysis, to avoid subsequent confusion, between the Subject and the Subject Term, the Predicate and the Predicate Term. The Subject is the Subject Term quantified: in A and E,[1] "All S"; in I and O, "Some S". The Predicate is the Predicate Term with the Copula, positive or negative: in A and I, "is P"; in E and O, "is not P". It is important also, in the interest of exactness, to note that S and P, with one exception, represent general names. They are symbols for classes. P is so always: S also except when the Subject is an individual object. In the machinery of the Syllogism, predications about a Singular term are treated as Universal Affirmatives. "Socrates is a wise man" is of the form All S is P. S and P being general names, the signification of the symbol "is" is not the same as the "is" of common speech, whether the substantive verb or the verb of incomplete predication. In the syllogistic form, "is" means _is contained in_, "is not," _is not contained in_. The relations between the terms in the four forms are represented by simple diagrams known as Euler's circles. [Illustration: 1 concentric circles of P and S - S in centre A 2 S and P in the same circle A 3 S and P each in a circle, overlapping circle. I & O 4 S in one circle and P in another circle. E 5 concentric circles of S and P - P in centre I? ] Diagram 5 is a purely artificial form, having no representative in common speech. In the affirmations of common speech, P is always a term of greater e
PREV.   NEXT  
|<   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   80   81   82   83   84   85   86   87   88   89   90   91   92   93   94   95   >>   >|  



Top keywords:

circle

 
Subject
 

Predicate

 

circles

 

general

 

quantity

 
speech
 

distinction

 

common

 
contained

concentric

 
called
 

centre

 

symbol

 
quality
 
Universal
 
classes
 

treated

 

Affirmatives

 
symbols

Socrates

 

predications

 

individual

 

object

 

Singular

 

Syllogism

 

machinery

 
relations
 

Illustration

 

represent


overlapping
 
Diagram
 
purely
 

affirmations

 

representative

 
greater
 
diagrams
 

predication

 

syllogistic

 

incomplete


substantive

 
signification
 

artificial

 

simple

 

represented

 

degree

 

debates

 
number
 

Aristotle

 
pupils