The University of Missouri Studies, Volume 2

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The University, 1903
 

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Page 97 - But the induction which is to be available for the discovery and demonstration of sciences and arts, must analyse nature by proper rejections and exclusions ; and then, after a sufficient number of negatives, come to a conclusion on the affirmative instances...
Page 106 - All inference is from particulars to particulars: General propositions are merely registers of such inferences already made, and short formulae for making more: The major premise of a syllogism, consequently, is a formula of this description: and the conclusion is not an inference drawn from the formula, but an inference drawn according to the formula: the real logical antecedent, or premise, being the particular facts from which the general proposition • was collected by induction.
Page 100 - Induction is that operation of the mind by which we infer that what we know to be true in a particular case or cases, will be true in all cases which resemble the former in certain assignable respects.
Page 98 - The one flies from the senses and particulars to the most general axioms, and from these principles, the truth of which it takes for settled and immoveable, proceeds to judgment and to the discovery of middle axioms. And this way is now in fashion. The other derives axioms from the senses and particulars, rising by a gradual and unbroken ascent, so that it arrives at the most general axioms last of all. This is the true way, but as yet untried.
Page 105 - The uniformity in the succession of events, otherwise called the law of causation, must be received not as a law of the universe, but of that portion of it only which is within the range of our means of sure observation, with a reasonable degree of extension to adjacent cases.
Page 5 - At the dissolution of the monasteries in the reign of Henry VIII., the...
Page 107 - All men are mortal" (for instance) shows that we have had experience from which we thought it followed that the attributes connoted by the term man are a mark of mortality. But when we conclude that the Duke of Wellington is mortal, we do not infer this from the memorandum but from the former experience. All that we infer from the memorandum is our own previous belief (or that of those who transmitted to us the proposition) concerning the inferences which that former experience would warrant.
Page 13 - NO POOR WHO REFUSED TO BE LODGED AND KEPT IN SUCH HOUSES SHOULD BE ENTITLED TO ASK OR RECEIVE PAROCHIAL RELIEF.
Page 101 - The obscurer laws of nature were discovered by means of it, but the more obvious ones must have been understood and assented to as general truths before it was ever heard of. We should never have thought of affirming that all phenomena take place according to general laws if we had not first arrived, in the case of a great multitude of phenomena, at some knowledge of the laws themselves, which could be done no otherwise than by induction.
Page 88 - The rules for calculating the weekly payment in the case of total incapacity shall be — (i) The weekly payment shall subject to rule (ii) be a sum not exceeding fifty per cent, of the workman's average weekly earnings during the previous twelve months...

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