One and four make five. Things equal to the same thing are equal to one another. The whole is greater than a part ; ' and, in brief, all axioms in arithmetic and geometry. These are, in effect, but so many expositions of our own general notions, taken... The Scientific and Literary Treasury - Page 302by Samuel Maunder - 1866 - 820 pagesFull view - About this book
| George Campbell - English language - 1801 - 462 pages
...evidence. this kind is the evidence of these propositions, " One " and four make five. Things equal to the same " thing, are equal to one another. The whole is " greater than a part;" and, in brief, all axioms in arithmetic and geometry. These are in effect but so many different... | |
| Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 516 pages
...called the centre." An axiom is a manifest truth not requiring a demonstration : The following are examples of axioms, " Things equal to the same thing...whole is greater than any of its parts, and equal to all its parts." " If equal things be taken from equal things the remainders will be equal." " Magnitudes... | |
| Edward Augustus Kendall - 1811 - 458 pages
...the centre." AD axiom is a manifest truth not requiring a detnonstratipn : The following areexamplcs of axioms, " Things equal to the same thing are equal to one another :" " The whole is greater than uny of its parts, and equal to all its parts." " If equal things !''• taken frotn equal things the... | |
| Dugald Stewart - Logic - 1814 - 582 pages
..." lowing propositions may serve as an illustration : One and " four make five. Things equal to the same thing are equal *« to one another. The whole is greater than a part ; and, in " brief, all axioms in arithmetic and geometry. These are, in " effect, but so many... | |
| Dugald Stewart - Psychology - 1821 - 348 pages
...following " propositions may serve as an illustration : One and four make five. " Things equal to the same thing are equal to one another. The •• whole is greater than a part ; and, in belief all axioms in arithme• Book \\: chap. 7, ; 11,— 2. ;>. " tic and geometry.... | |
| Alexander Jamieson - Industrial arts - 1829 - 654 pages
...natural knowledge. I ni 'ill "'ii is the instant perception of the relation between two ideas, as " the whole is greater than any of its parts, and equal to all its parts." Ttitimony is the criterion of facts, which do not fall immediately under our own observation.... | |
| Dugald Stewart - 1829 - 418 pages
...following propositions may serve as an illustration : ' One and four make five. Things equal to the same thing are equal to one another. The whole is greater than a part ; ' and, in brief, all axioms in arithmetic and geometry. These are, in effect, but so many... | |
| Dugald Stewart - 1829 - 442 pages
...following propositions may serve as an illustration : * One and four make five. Things equal to the same thing are equal to one another. The whole is greater than a part ; ' and, in brief, all axioms in arithmetic and geometry. These are, in effect, but so many... | |
| George Campbell - Theology - 1840 - 450 pages
...Perception is employed evidence of these propositions: "One and four make five — Things equal to the same thing are equal to one another — The whole is greater than a part ;" and, in brief, all axioms in arithmetic and geometry. These are, in effect, but so many different... | |
| George Campbell - English language - 1849 - 472 pages
...intellection.* Of this kind is the evidence of these propositions: "One and four make five. Things equal to the same thing are equal to one another. The whole is greater than a part ;" and, in brief, all axioms in arithmetic and geometry. These are, in effect, but so many different... | |
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