 | Roswell Chamberlain Smith - 1856 - 334 σελίδες
...they will probably be right. 53. The rule as well as the proof is based3 on the well kaown axiom,4 that the whole is equal to the sum of all its parts. Q. What is Addition? 46. Simple Addition? 47. Rule? 48, 49, 50. What are the two methods of proof?... | |
 | William Whewell - 1858 - 352 σελίδες
...results of my experiments, and to direct me in repeating them with proper precautions.' The maxim, that the whole is equal to the sum of all its parts, is thus capable of most important and varied employment in chemistry. But it may be applied in another... | |
 | William Mackenzie (Solicitor) - 1858 - 172 σελίδες
...comparison, however, cannot safely be supported. It is no doubt a primary axiom in the exact sciences that " the whole is equal to the sum of all its parts," and on that foundation the admirers of book-keeping by double entry have endeavoured to rest the superstructure... | |
 | Mark Hopkins - 1862 - 312 σελίδες
...principle of causation, and so under mathematical axioms. The act of a child may involve the axiom that the whole is equal to the sum of all its parts, and yet the child may never have heard of the axiom, and in that form could not comprehend it. In thus... | |
 | Mark Hopkins - 1862 - 308 σελίδες
...principle of causation, and so under mathematical axioms. The act of a child may involve the axiom that the whole is equal to the sum of all its parts, and yet the child may never have heard of the axiom, and in that form could not comprehend it. V In... | |
 | William Waterston - 1863 - 1026 σελίδες
...must, if correctly posted, be constantly in a state of equilibrium : It follows likewise from the axiom that " the whole is equal to the sum of all its parts," that the balance of the stock account must equal the aggregate balance of all the other accounts. Hence... | |
 | R. Y. Barnes - 1869 - 470 σελίδες
...that is when the totals, or balances, are taken out. The system is based on the mathematical axiom, that the whole is equal to the sum of all its parts, and consequently, and conversely, that the sum of all the parts must be equal to the whole. And the... | |
 | 1880 - 996 σελίδες
...equivalence. An attempt at exact imitation is sure to result in a libel. In art, at least, the axiom that the whole is equal to the sum of all its parts has no absolute force whatever, and even if it were possible to reproduce in painting the actual details... | |
 | Young Men's Christian Associations (London, England) - 1873 - 386 σελίδες
...conclusion is right. It is by allowing these antecedent thoughts which are included in the statement that the whole is equal to the sum of all its parts, that we come to the position that the thing stated cannot be true and false at the same time. Allow... | |
 | Mark Hopkins - 1873 - 334 σελίδες
...he affirms it, it would land us in our not being sure that we know anything at all. Do I then know that the whole is equal to the sum of all its parts, or that a body must be in space, as something that is relative to my mode of apprehension ? or do I... | |
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This is no denial of the mathematical proposition that the whole is equal to the sum of all its parts... 
