FREE BOOKS

Author's List




PREV.   NEXT  
|<   99   100   101   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   >>  
e with any well-defined law. After one or two distinct numerals the count may, as in the case of the Veddas and the Andamans, proceed by finger pantomime and by the repetition of the same word. Occasionally the same word is used for two successive numbers, some gesture undoubtedly serving to distinguish the one from the other in the savage's mind. Examples of this are not infrequent among the forest tribes of South America. In the Tariana dialect 9 and 10 are expressed by the same word, _paihipawalianuda;_ in Cobeu, 8 and 9 by _pepelicoloblicouilini;_ in Barre, 4, 5, and 9 by _ualibucubi._[326] In other languages the change from one numeral to the next is so slight that one instinctively concludes that the savage is forming in his own mind another, to him new, numeral immediately from the last. In such cases the entire number system is scanty, and the creeping hesitancy with which progress is made is visible in the forms which the numerals are made to take. A single illustration or two of this must suffice; but the ones chosen are not isolated cases. The scale of the Macunis,[327] one of the numerous tribes of Brazil, is 1. pocchaenang. 2. haihg. 3. haigunhgnill. 4. haihgtschating. 5. haihgtschihating = another 4? 6. hathig-stchihathing = 2-4? 7. hathink-tschihathing = 2-5? 8. hathink-tschihating = 2 x 4? The complete absence of--one is tempted to say--any rhyme or reason from this scale is more than enough to refute any argument which might tend to show that the quinary, or any other scale, was ever the sole number scale of primitive man. Irregular as this is, the system of the Montagnais fully matches it, as the subjoined numerals show:[328] 1. inl'are. 2. nak'e. 3. t'are. 4. dinri. 5. se-sunlare. 6. elkke-t'are = 2 x 3. 7. t'a-ye-oyertan = 10 - 3, or inl'as dinri = 4 + 3? 8. elkke-dinri = 2 x 4. 9. inl'a-ye-oyertan = 10 - 1. 10. onernan. CHAPTER VII. THE VIGESIMAL SYSTEM. In its ordinary development the quinary system is almost sure to merge into either the decimal or the vigesimal system, and to form, with one or the other or both of these, a mixed system of counting. In Africa, Oceanica, and parts of North America, the union is almost always with the decimal scale; while in other parts of the world the quinary and the vigesimal systems have shown a decided affinity for each other. It is
PREV.   NEXT  
|<   99   100   101   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   >>  



Top keywords:

system

 

numerals

 

quinary

 

hathink

 

number

 

numeral

 

oyertan

 

America

 
tribes
 

savage


vigesimal

 

decimal

 
primitive
 
tempted
 

Irregular

 

Montagnais

 

absence

 

reason

 

tschihating

 

refute


stchihathing
 

argument

 

complete

 
tschihathing
 

VIGESIMAL

 

Oceanica

 

Africa

 

counting

 

affinity

 

decided


systems

 

sunlare

 

onernan

 
CHAPTER
 

subjoined

 
development
 

ordinary

 
hathig
 
SYSTEM
 

matches


infrequent
 

forest

 
Examples
 

undoubtedly

 

serving

 

distinguish

 

Tariana

 

ualibucubi

 
pepelicoloblicouilini
 

dialect