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accessory notion affirmative already angle apodosis Aristotle assert belongs categorical judgment classification coexistence coherence combination conceived conclusion condition connexion consequence contained copula definite depends determined disjunctive judgment distinguished elements ellipse equal equation exclusion existence expression fact figure follows forms of judgment forms of thought further genus give given ground group of marks hypothetical ideas individual inference instance lastly law of identity law of thought logical value major premiss mathematics matter means merely mind minor modus ponendo tollens nature necessary negative object observation opposite particular particular judgment perception position possible predicate principle of identity problem produce proposition protasis quantity question realised reality reason regard relation result rule sense simple species subordination syllogism thing thinkable tion true truth universal concept universal laws universal predicate universal proposition validity whole yellow
Page 17 - ... when it has thus created a number of such substantial entities with their adjuncts, places them in some kind of relation to each other, so as to constitute a system. And, as a result of all these processes, the world of perceptions comes to be conceived as a world in which there are " things as fixed points, which serve to support a number of dependent properties, and are connected together by the changing play of events.
Page 11 - ... universal law for the arrangement of a manifold material is to be discovered. Applied logic is concerned with those methods of investigation which obviate these defects. It considers hindrances and the devices by which they may be overcome; and it must therefore sacrifice the love of systematization to considerations of utility and select what the experience of science has so far shown to be important and fruitful.
Page 9 - Only a mind which stood at the centre of this real world, not outside individual things, but penetrating them with its presence, could command such a view of reality as left nothing to look for, and was therefore the perfect image of it in its own being and activity.
Page 175 - ... computation. This method will show us how, by increase or decrease of qualities, an object tends to pass from one class to another; 1 Logic, § 131. and it enables us to fix upon that species as the most perfect example of the type whose essential marks are, at their greatest quantities, in equilibrium. "We always regard as the typical and most expressive examples of each genus those species in which all the marks are at the highest value which the combination prescribed by the genus allows.
Page 297 - But if inquiry were made what the "some metals " are, the answer would certainly be " Metal which is potassium." Hence Aristotle's conclusion simply leaves out some of the information afforded in the premises ; it even leaves us open to interpret the some metals in a wider sense than we are warranted in doing.
Page 293 - If the property B be present in one of the productions, either the properties A, C, and D, are all absent, or some one alone of them is absent. And conversely, if they are all absent it may be concluded that the property A is present (7). 2nd. If A and C are both present or both absent, D will be absent, quite independently of the presence or absence of B (8) and (9).
Page 74 - ... expressions of this sort one after another, he does not indeed deliberately say that the indefinite pronoun means the same in all these cases. But he would certainly, if he understood himself rightly, give this answer rather than the former. This ' It ' is, in fact, thought of as the common subject ...it indicates the all-embracing thought of reality, which takes now one shape, now another2." Sigwart regards this interpretation as too 'artificial*,' though it does not seem in the end to differ...
Page 9 - But the human mind, with which alone we are here concerned, does not thus stand at the centre of things, but has a modest position somewhere in the extreme ramifications of reality. Compelled, as it is, to collect its knowledge piecemeal by experiences which relate immediately to only a small fragment of the whole, and thence to advance cautiously to the apprehension of what lies beyond its horizon, it has probably to make a number of circuits, which are immaterial to the truth it is seeking, but...
Page 25 - It is the relations themselves already subsisting between impressions, when we become conscious of them, by which the action of thought which is never anything but reaction, is attracted; and this action consists merely in interpreting relations which we find existing between our passive impressions into aspects of the matter of impressions." l And again:2 "Thought can make no difference where it finds none already in the matter of the impressions.