The New Encyclopaedia Britannica, Volume 8 |
From inside the book
Results 1-3 of 4
Page 59
... axioms and opened the way for related attempts to axiom- atize other areas of mathematics and logic . As a consequence of this desire for transparency and complete specification , greater attention came to be paid to the formal ...
... axioms and opened the way for related attempts to axiom- atize other areas of mathematics and logic . As a consequence of this desire for transparency and complete specification , greater attention came to be paid to the formal ...
Page 60
... axioms , that they are true in all possible worlds , and because the rules of inference carry from valid sentences to valid sentences . Since all and only valid sentences are theorems , the calculus is decidable . With regard to first ...
... axioms , that they are true in all possible worlds , and because the rules of inference carry from valid sentences to valid sentences . Since all and only valid sentences are theorems , the calculus is decidable . With regard to first ...
Page 827
... axiom of multiplication ( ab = ba ) , developed a system of hypercomplex numbers that he called quaternions , which have a basis of four elements ( 1 , i , j , k ) . The quaternions proved adaptable to operations involving vectors in ...
... axiom of multiplication ( ab = ba ) , developed a system of hypercomplex numbers that he called quaternions , which have a basis of four elements ( 1 , i , j , k ) . The quaternions proved adaptable to operations involving vectors in ...
Other editions - View all
Common terms and phrases
20th century Africa agricultural American army Asia atoms became began brief treatment British called capital central centre chemical China Christian church Chuuk colour courtesy culture death developed early east eastern emperor Empire English established Europe feet forces France French full treatment German Greek ical important Indian industrial islands Italy Japan king known Lake land language later London MACROPAEDIA maize major Mencius Menno Simons Mennonite ment metal meteorite meteoroid Mexico Mi Fei Michael military mineral minister Miocene Mithra modern Moldavia molecules Mongol Mongolia Mountains Museum Myanmar National North America northern organized original painting Pāli Paris period political port production province region reign River rocks Roman Russia Russian served southern species square km square miles structure tion town traditional United University valley western World World War II