conversations list |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 4 After these distinctions we now state by what means, when, and how every syllogism is produced; subsequently we must speak of demonstration.\nSyllogism should be discussed before demonstration because syllogism is th... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 5 Whenever the same thing belongs to all of one subject, and to none of another, or to all of each subject or to none of either, I call such a figure the second; by middle term in it I mean that which is p... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 6 But if one term belongs to all, and another to none, of a third, or if both belong to all, or to none, of it, I call such a figure the third; by middle term in it I mean that of which both the predicates... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 7 It is evident also that in all the figures, whenever a proper syllogism does not result, if both the terms are affirmative or negative nothing necessary follows at all, but if one is affirmative, the oth... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 8 Since there is a difference according as something belongs, necessarily belongs, or may belong to something else (for many things belong indeed, but not necessarily, others neither necessarily nor indeed... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 9 It happens sometimes also that when one premiss is necessary the conclusion is necessary, not however when either premiss is necessary, but only when the major is, e.g. if A is taken as necessarily belon... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 10 In the second figure, if the negative premiss is necessary, then the conclusion will be necessary, but if the affirmative, not necessary.\nFirst let the negative be necessary; let A be possible of no B,... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 11 In the last figure when the terms are related universally to the middle, and both premisses are affirmative, if one of the two is necessary, then the conclusion will be necessary.\nBut if one is negativ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 12 It is clear then that a simple conclusion is not reached unless both premisses are simple assertions, but a necessary conclusion is possible although one only of the premisses is necessary.\nBut in both... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 13 Perhaps enough has been said about the proof of necessity, how it comes about and how it differs from the proof of a simple statement.\nWe proceed to discuss that which is possible, when and how and by ... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 14 Whenever A may possibly belong to all B, and B to all C, there will be a perfect syllogism to prove that A may possibly belong to all C.\nThis is clear from the definition: for it was in this way that we explained '... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 15 If one premiss is a simple proposition, the other a problematic, whenever the major premiss indicates possibility all the syllogisms will be perfect and establish possibility in the sense defined; but whenever the m... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 16 Whenever one premiss is necessary, the other problematic, there will be a syllogism when the terms are related as before; and a perfect syllogism when the minor premiss is necessary.\nIf the premisses a... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 17 In the second figure whenever both premisses are problematic, no syllogism is possible, whether the premisses are affirmative or negative, universal or particular.\nBut when one premiss is assertoric, the other prob... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 18 But if one premiss is assertoric, the other problematic, if the affirmative is assertoric and the negative problematic no syllogism will be possible, whether the premisses are universal or particular.\n... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 19 If one of the premisses is necessary, the other problematic, then if the negative is necessary a syllogistic conclusion can be drawn, not merely a negative problematic but also a negative assertoric con... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 20 In the last figure a syllogism is possible whether both or only one of the premisses is problematic.\nWhen the premisses are problematic the conclusion will be problematic; and also when one premiss is ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 21 If one premiss is pure, the other problematic, the conclusion will be problematic, not pure; and a syllogism will be possible under the same arrangement of the terms as before.\nFirst let the premisses ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 22 If one of the premisses is necessary, the other problematic, when the premisses are affirmative a problematic affirmative conclusion can always be drawn; when one proposition is affirmative, the other n... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 23 It is clear from what has been said that the syllogisms in these figures are made perfect by means of universal syllogisms in the first figure and are reduced to them.\nThat every syllogism without qual... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 24 Further in every syllogism one of the premisses must be affirmative, and universality must be present: unless one of the premisses is universal either a syllogism will not be possible, or it will not re... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 25 It is clear too that every demonstration will proceed through three terms and no more, unless the same conclusion is established by different pairs of propositions; e.g. the conclusion E may be establis... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 26 Since we understand the subjects with which syllogisms are concerned, what sort of conclusion is established in each figure, and in how many moods this is done, it is evident to us both what sort of pro... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 27 We must now state how we may ourselves always have a supply of syllogisms in reference to the problem proposed and by what road we may reach the principles relative to the problem: for perhaps we ought not only to i... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 28 If men wish to establish something about some whole, they must look to the subjects of that which is being established (the subjects of which it happens to be asserted), and the attributes which follow ... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 29 Syllogisms which lead to impossible conclusions are similar to ostensive syllogisms; they also are formed by means of the consequents and antecedents of the terms in question.\nIn both cases the same inquiry is invo... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 30 The method is the same in all cases, in philosophy, in any art or study.\nWe must look for the attributes and the subjects of both our terms, and we must supply ourselves with as many of these as possible, and consi... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 31 It is easy to see that division into classes is a small part of the method we have described: for division is, so to speak, a weak syllogism; for what it ought to prove, it begs, and it always establishes something ... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 32 Our next business is to state how we can reduce syllogisms to the aforementioned figures: for this part of the inquiry still remains.\nIf we should investigate the production of the syllogisms and had the power of d... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 33 Men are frequently deceived about syllogisms because the inference is necessary, as has been said above; sometimes they are deceived by the similarity in the positing of the terms; and this ought not to... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 34 Men will frequently fall into fallacies through not setting out the terms of the premiss well, e.g. suppose A to be health, B disease, C man.\nIt is true to say that A cannot belong to any B (for health... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 35 We must not always seek to set out the terms a single word: for we shall have complexes of words to which a single name is not given.\nHence it is difficult to reduce syllogisms with such terms.\nSometi... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 36 That the first term belongs to the middle, and the middle to the extreme, must not be understood in the sense that they can always be predicated of one another or that the first term will be predicated ... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 37 The expressions 'this belongs to that' and 'this holds true of that' must be understood in as many ways as there are different categories, and these categories must be taken either with or without qualification, and... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 38 A term which is repeated in the premisses ought to be joined to the first extreme, not to the middle.\nI mean for example that if a syllogism should be made proving that there is knowledge of justice, t... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 39 We ought also to exchange terms which have the same value, word for word, and phrase for phrase, and word and phrase, and always take a word in preference to a phrase: for thus the setting out of the te... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 40 Since the expressions 'pleasure is good' and 'pleasure is the good' are not identical, we must not set out the terms in the same way; but if the syllogism is to prove that pleasure is the good, the term... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 41 It is not the same, either in fact or in speech, that A belongs to all of that to which B belongs, and that A belongs to all of that to all of which B belongs: for nothing prevents B from belonging to C... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 42 We should not forget that in the same syllogism not all conclusions are reached through one figure, but one through one figure, another through another.\nClearly then we must analyse arguments in accord... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 43 In reference to those arguments aiming at a definition which have been directed to prove some part of the definition, we must take as a term the point to which the argument has been directed, not the wh... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 44 Further we must not try to reduce hypothetical syllogisms; for with the given premisses it is not possible to reduce them.\nFor they have not been proved by syllogism, but assented to by agreement.\nFor instance if ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 45 Whatever problems are proved in more than one figure, if they have been established in one figure by syllogism, can be reduced to another figure, e.g. a negative syllogism in the first figure can be red... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 46 In establishing or refuting, it makes some difference whether we suppose the expressions 'not to be this' and 'to be not-this' are identical or different in meaning, e.g. 'not to be white' and 'to be no... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 1 We have already explained the number of the figures, the character and number of the premisses, when and how a syllogism is formed; further what we must look for when a refuting and establishing propositions, and how... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 2 It is possible for the premisses of the syllogism to be true, or to be false, or to be the one true, the other false.\nThe conclusion is either true or false necessarily.\nFrom true premisses it is not possible to dr... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 3 In the middle figure it is possible in every way to reach a true conclusion through false premisses, whether the syllogisms are universal or particular, viz.\nwhen both premisses are wholly false; when e... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 4 In the last figure a true conclusion may come through what is false, alike when both premisses are wholly false, when each is partly false, when one premiss is wholly true, the other false, when one prem... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 5 Circular and reciprocal proof means proof by means of the conclusion, i.e. by converting one of the premisses simply and inferring the premiss which was assumed in the original syllogism: e.g. suppose it... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 6 In the second figure it is not possible to prove an affirmative proposition in this way, but a negative proposition may be proved.\nAn affirmative proposition is not proved because both premisses of the ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 7 In the third figure, when both premisses are taken universally, it is not possible to prove them reciprocally: for that which is universal is proved through statements which are universal, but the conclu... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 8 To convert a syllogism means to alter the conclusion and make another syllogism to prove that either the extreme cannot belong to the middle or the middle to the last term.\nFor it is necessary, if the c... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 9 In the second figure it is not possible to refute the premiss which concerns the major extreme by establishing something contrary to it, whichever form the conversion of the conclusion may take.\nFor the... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 10 In the third figure when the conclusion is converted into its contrary, neither of the premisses can be refuted in any of the syllogisms, but when the conclusion is converted into its contradictory, bot... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 11 It is clear then what conversion is, how it is effected in each figure, and what syllogism results.\nThe syllogism per impossibile is proved when the contradictory of the conclusion stated and another p... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 12 It is clear then that in the first figure all problems except the universal affirmative are proved per impossibile.\nBut in the middle and the last figures this also is proved.\nSuppose that A does not ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 13 Similarly they can all be formed in the last figure.\nSuppose that A does not belong to some B, but C belongs to all B: then A does not belong to some C.\nIf then this is impossible, it is false that A ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 14 Demonstration per impossibile differs from ostensive proof in that it posits what it wishes to refute by reduction to a statement admitted to be false; whereas ostensive proof starts from admitted posit... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 15 In what figure it is possible to draw a conclusion from premisses which are opposed, and in what figure this is not possible, will be made clear in this way.\nVerbally four kinds of opposition are possi... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 16 To beg and assume the original question is a species of failure to demonstrate the problem proposed; but this happens in many ways.\nA man may not reason syllogistically at all, or he may argue from premisses which ... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 17 The objection that 'this is not the reason why the result is false', which we frequently make in argument, is made primarily in the case of a reductio ad impossibile, to rebut the proposition which was being proved ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 18 A false argument depends on the first false statement in it.\nEvery syllogism is made out of two or more premisses.\nIf then the false conclusion is drawn from two premisses, one or both of them must be... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 19 In order to avoid having a syllogism drawn against us we must take care, whenever an opponent asks us to admit the reason without the conclusions, not to grant him the same term twice over in his premis... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 20 Since we know when a syllogism can be formed and how its terms must be related, it is clear when refutation will be possible and when impossible.\nA refutation is possible whether everything is conceded, or the answ... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 21 It sometimes happens that just as we are deceived in the arrangement of the terms, so error may arise in our thought about them, e.g. if it is possible that the same predicate should belong to more... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 22 Whenever the extremes are convertible it is necessary that the middle should be convertible with both.\nFor if A belongs to C through B, then if A and C are convertible and C belongs everything to which... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 23 It is clear then how the terms are related in conversion, and in respect of being in a higher degree objects of aversion or of desire.\nWe must now state that not only dialectical and demonstrative syll... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 24 We have an 'example' when the major term is proved to belong to the middle by means of a term which resembles the third.\nIt ought to be known both that the middle belongs to the third term, and that th... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 25 By reduction we mean an argument in which the first term clearly belongs to the middle, but the relation of the middle to the last term is uncertain though equally or more probable than the conclusion; ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 26 An objection is a premiss contrary to a premiss.\nIt differs from a premiss, because it may be particular, but a premiss either cannot be particular at all or not in universal syllogisms.\nAn objection ... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 27 A probability and a sign are not identical, but a probability is a generally approved proposition: what men know to happen or not to happen, to be or not to be, for the most part thus and thus, is ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 1 Let us now discuss sophistic refutations, i.e. what appear to be refutations but are really fallacies instead.\nWe will begin in the natural order with the first.\nThat some reasonings are genuine, while... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 2 Of arguments in dialogue form there are four classes: Didactic, Dialectical, Examination-arguments, and Contentious arguments.\nDidactic arguments are those that reason from the principles appropriate to each subject... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 3 First we must grasp the number of aims entertained by those who argue as competitors and rivals to the death.\nThese are five in number, refutation, fallacy, paradox, solecism, and fifthly to reduce the ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 4 There are two styles of refutation: for some depend on the language used, while some are independent of language.\nThose ways of producing the false appearance of an argument which depend on language are... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 5 Fallacies, then, that depend on Accident occur whenever any attribute is claimed to belong in like manner to a thing and to its accident.\nFor since the same thing has many accidents there is no nec... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 6 The right way, then, is either to divide apparent proofs and refutations as above, or else to refer them all to ignorance of what 'refutation' is, and make that our starting-point: for it is possible to analyse all t... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 7 The deception comes about in the case of arguments that depend on ambiguity of words and of phrases because we are unable to divide the ambiguous term (for some terms it is not easy to divide, e.g. 'unit... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 8 Since we know on how many points apparent syllogisms depend, we know also on how many sophistical syllogisms and refutations may depend.\nBy a sophistical refutation and syllogism I mean not only a syllo... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 9 The number of considerations on which depend the refutations of those who are refuted, we ought not to try to grasp without a knowledge of everything that is.\nThis, however, is not the province of any s... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 10 It is no true distinction between arguments which some people draw when they say that some arguments are directed against the expression, and others against the thought expressed: for it is absurd ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 11 Moreover, to claim a 'Yes' or 'No' answer is the business not of a man who is showing something, but of one who is holding an examination.\nFor the art of examining is a branch of dialectic and has in v... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 12 So much, then, for apparent refutations.\nAs for showing that the answerer is committing some fallacy, and drawing his argument into paradox-for this was the second item of the sophist's programme-... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 13 Paradoxes, then, you should seek to elicit by means of these common-place rules.\nNow as for making any one babble, we have already said what we mean by 'to babble'.\nThis is the object in view in ... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 14 We have said before what kind of thing 'solecism' is.' It is possible both to commit it, and to seem to do so without doing so, and to do so without seeming to do so.\nSuppose, as Protagoras used t... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 15 With a view then to refutation, one resource is length-for it is difficult to keep several things in view at once; and to secure length the elementary rules that have been stated before' should be ... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 16 We have now therefore dealt with the sources of questions, and the methods of questioning in contentious disputations: next we have to speak of answering, and of how solutions should be made, and of wha... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 17 First then, just as we say that we ought sometimes to choose to prove something in the general estimation rather than in truth, so also we have sometimes to solve arguments rather in the general es... |
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"from": "human",
"value": "Describe or explain the following content in detail.\n\nPart 18 Inasmuch as a proper solution is an exposure of false reasoning, showing on what kind of question the falsity depends, and whereas 'false reasoning' has a double meaning-for it is used either if a false conclusion h... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 19 Of the refutations, then, that depend upon ambiguity and amphiboly some contain some question with more than one meaning, while others contain a conclusion bearing a number of senses: e.g. in the p... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 20 It is evident also how one should solve those refutations that depend upon the division and combination of words: for if the expression means something different when divided and when combined, as ... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 21 Accentuation gives rise to no fallacious arguments, either as written or as spoken, except perhaps some few that might be made up; e.g. the following argument.\n'Is ou katalueis a house?' 'Yes.' 'I... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 22 It is clear also how one must meet those fallacies that depend on the identical expressions of things that are not identical, seeing that we are in possession of the kinds of predications.\nFor the... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 23 It is a general rule in dealing with arguments that depend on language that the solution always follows the opposite of the point on which the argument turns: e.g. if the argument depends upon comb... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 24 In dealing with arguments that depend on Accident, one and the same solution meets all cases.\nFor since it is indeterminate when an attribute should be ascribed to a thing, in cases where it belon... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 25 Those arguments which depend upon an expression that is valid of a particular thing, or in a particular respect, or place, or manner, or relation, and not valid absolutely, should be solved by cons... |
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"from": "human",
"value": "Provide a detailed answer to the question posed in the following text.\n\nPart 26 Refutations that depend on the definition of a refutation must, according to the plan sketched above, be met by comparing together the conclusion with its contradictory, and seeing that it shall in... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 27 As to refutations that depend on begging and assuming the original point to be proved, suppose the nature of the question to be obvious, one should not grant it, even though it be a view generally held,... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 28 Also, those refutations that bring one to their conclusion through the consequent you should show up in the course of the argument itself.\nThe mode in which consequences follow is twofold.\nFor the arg... |
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"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 29 In the case of any refutations whose reasoning depends on some addition, look and see if upon its subtraction the absurdity follows none the less: and then if so, the answerer should point this out, and... |
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{
"from": "human",
"value": "Analyze the following content and provide comprehensive insights.\n\nPart 30 To meet those refutations which make several questions into one, one should draw a distinction between them straight away at the start.\nFor a question must be single to which there is a single answer, ... |
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