{"id":5184,"date":"2021-10-21T18:00:50","date_gmt":"2021-10-21T16:00:50","guid":{"rendered":"http:\/\/icar.cnrs.fr\/dicoplantin\/?p=5184"},"modified":"2025-05-16T16:33:40","modified_gmt":"2025-05-16T14:33:40","slug":"opposites-topos-of-the","status":"publish","type":"post","link":"https:\/\/icar.cnrs.fr\/dicoplantin\/opposites-topos-of-the\/","title":{"rendered":"Opposites &#8211; A contrario"},"content":{"rendered":"<h1 style=\"text-align: center;\"><span style=\"font-size: 14pt; color: #ff0000;\"><strong>Argument from OPPOSITES<br \/>\n<\/strong><\/span><\/h1>\n<p><span style=\"font-size: 10pt;\">We follow Freese and Rhys Roberts who use the term \u201c(topos) <strong>from \/ of the opposite<\/strong>\u201d in their translation of Aristotle&rsquo;s <em>Rhetoric<\/em>. Ryan uses the equivalent term <em><strong>contrary<\/strong><\/em> in his discussion of the topos<\/span><span style=\"font-size: 10pt;\"> (Ryan 1984). <em>Contrary<\/em> is also used in logic in the pair<em> contrary \/ contradictory<\/em> proposition.<br \/>\n<\/span><span style=\"font-size: 10pt;\">Since the topos plays with <strong>two pairs of opposites<\/strong>, the plural \u00ab\u00a0topos of opposites\u00a0\u00bb also seems appropriate.<\/span><\/p>\n<p>In a broader sense, the terms <em>opposition<\/em> and <em>opposite<\/em> can cover a number of specific argumentative phenomena, see <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/opposite-e\/\">opposition<\/a>; <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/contradiction-e\/\">contradiction; <\/a><a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/contrary-and-contradictory-e\/\">contrary and contradictory.<\/a><\/p>\n<h2><span style=\"color: #0000ff; font-size: 12pt;\">1. Topos of opposites<\/span><\/h2>\n<p>Cicero recognized the enthymeme based on opposites as the archetypal <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/enthymeme-e\/\">enthymeme<\/a>.<br \/>\nThe topos of the opposites is the first on Aristotle&rsquo;s list of rhetorical topoi:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">One line of positive proof is based upon consideration of the opposite of the thing in question. Observe whether that opposite has the opposite quality. If it has not, you refute the original position. If it has, you establish it.\u00a0(<em>Rhet.<\/em>, II, 23; RR, p. 355)<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><em>If courage is a virtue, then cowardice is a vice.<\/em><\/span><\/p>\n<p>Ryan restates the Aristotelian topos as follows<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">If <strong>A<\/strong> is the contrary of <strong>B<\/strong>, and <strong>C<\/strong> is the contrary of <strong>D<\/strong>,<br \/>\n<\/span><span style=\"font-size: 10pt;\"><strong>1A<\/strong> \u2014 then, if <strong>C<\/strong> is not predicated of <strong>A<\/strong>, then <strong>D<\/strong> is not predicated of <strong>B.<br \/>\n<\/strong><\/span><span style=\"font-size: 10pt;\"><strong>1B<\/strong> \u2014 then if <strong>C<\/strong> is predicated of <strong>A<\/strong>, then <strong>D<\/strong> is predicated of <strong>B<\/strong> (1984, p. 97)<\/span><\/p>\n<h2><span style=\"color: #3366ff; font-size: 12pt;\">2. A dialectical resource<\/span><\/h2>\n<p>The topos of opposites is a dialectical resource,\u00a0 used to evaluate claims such as \u00ab\u00a0<strong>A<\/strong> is <strong>B\u00a0\u00bb<\/strong>, \u201c<em>courage is a virtue.<\/em>\u201d If the proponent holds that \u00ab\u00a0<strong>A<\/strong> is <strong>B<\/strong>\u00ab\u00a0, then the opponent can examine the opposites of <strong>A<\/strong> and <strong>B<\/strong>.<br \/>\nIn a dialogical format:<\/p>\n<p><strong>Confirmation &#8211; <\/strong>The test using the method of opposites is as follows<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Question: <em>Is courage a virtue?<br \/>\n<\/em><\/span><span style=\"font-size: 10pt;\">Topos of the opposites:<\/span><\/p>\n<p style=\"padding-left: 120px;\"><span style=\"font-size: 10pt;\">Opposite of <em>courage: cowardice.<br \/>\n<\/em>Opposite of <\/span><span style=\"font-size: 10pt;\"><em>virtue<\/em>: <em>vice.<\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Let&rsquo;s a apply the opposite of <em>virtue<\/em> to the opposite of <em>courage<\/em>:<\/span><span style=\"font-size: 10pt;\"><br \/>\n\u201c<em>Cowardice is a vice.<\/em>\u201d<\/span><br \/>\n<span style=\"font-size: 10pt;\">This proposition seems indisputable. Therefore, we can conclude that <em>courage is indeed a virtue.<\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Argumentation: \u201c<em>Courage is (indeed) a virtue, since cowardice is certainly a vice.<\/em>\u201d<\/span><\/p>\n<p><strong>Refutation &#8211; <\/strong>Let&rsquo;s apply the same test to the statement \u201c<em>Pleasant things are (intrinsically) good<\/em>.\u00a0\u00bb<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Question: \u201c<em>Are pleasant things good?<\/em>\u201d<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Topos of the opposite:<em><br \/>\nOpposite of <\/em>pleasant: <em>unpleasant.<br \/>\nOpposite of\u00a0 <\/em>good: <em>bad.<br \/>\nDerived statement:<\/em> \u201c<em>Unpleasant things are bad.<\/em>\u201d<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">New question: \u201c<em>Are unpleasant things always bad?<\/em>\u201d<\/span><br \/>\n<span style=\"font-size: 10pt;\">The answer is <span style=\"text-decoration: underline;\"><em>no<\/em><\/span>, because cod liver oil is quite unpleasant to drink (in its natural state), yet it is good for your health.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Conclusion:<em> unpleasant things are not always bad.<br \/>\nSome unpleasant things are good.<\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Argumentation:<\/span><span style=\"font-size: 10pt;\"> \u201c<em>Pleasant things are not intrinsically good, since unpleasant things can also be good.<\/em>\u201d<\/span><\/p>\n<p>The topos of opposites can also be used to suggest <strong>practical actions<\/strong>:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><em> I<\/em><em>nhaling <strong>black<\/strong> coal dust made the miners <strong><span style=\"color: #0000ff;\">sick<\/span><\/strong>, they will recover if they drink <strong>white <span style=\"color: #0000ff;\">milk<\/span><\/strong><\/em><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><em>If the <strong>cold rain<\/strong> has given him <span style=\"color: #0000ff;\"><strong>a cold<\/strong><\/span>, a <strong>hot tea<\/strong> will <strong><span style=\"color: #0000ff;\">do him good.<\/span><\/strong><\/em><\/span><\/p>\n<h3><span style=\"color: #800000;\"><strong>2.1 Linguistic and logical forms of the topos of opposites<\/strong><\/span><\/h3>\n<p>Aristotle expresses the topos of opposites in a language that is ordinary in its construction but technical in its use of a specialized vocabulary: rhetorical terms such as <em>topos<\/em> or <em>enthymeme<\/em>, or grammatical ontological terms such as <em>subject<\/em> or <em>predicate<\/em>. These terms are indeterminate, meaning they are taken in their broadest sense: \u00ab\u00a0a subject (a being), a property (a predicate)\u00a0\u00bb. This is a a generic formulation of the topos.<\/p>\n<p style=\"padding-left: 40px;\">The topos expresses a structure common to a set of enthymemes. Unlike other topoi, the logical form of the topos of opposites is very simple.<br \/>\nAccording to Ryan&rsquo;s formulation (1984, p. 97, cf. above), this basic form is as follows:<br \/>\n<em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em><span style=\"font-size: 10pt;\">1A &#8211; If <strong>A<\/strong> is the opposite of <strong>B<\/strong>, and <strong>C<\/strong> the opposite of <strong>D<\/strong>,<\/span><br \/>\n<span style=\"font-size: 10pt;\"><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em>then, if <strong>C<\/strong> is not predicated of <strong>A<\/strong>, then <strong>D<\/strong> is not predicated of <strong>B<\/strong>.<\/span><\/p>\n<p><em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em><span style=\"font-size: 10pt;\">1B &#8211; If <strong>A<\/strong> is the opposite of <strong>B<\/strong>, and <strong>C<\/strong> is the opposite of <strong>D<\/strong>,<br \/>\n<em>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/em><\/span><span style=\"font-size: 10pt;\"> then, if <strong>C<\/strong> is predicated of <strong>A<\/strong>, then <strong>D<\/strong> is predicated of <strong>B<\/strong>.<\/span><\/p>\n<p>The clause \u201c\u2014<em>\u00a0is not predicated<\/em>\u201d can be read as \u201c<em>is not true, acceptable, possible, etc.<\/em>\u201d.<\/p>\n<p>According to etWalton &amp; al. (2008, p 107), the argument \u00ab\u00a0from opposites\u00a0\u00bb has two forms:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Positive form:<\/span><br \/>\n<span style=\"font-size: 10pt;\">The opposite of the subject S has the property P.<\/span><br \/>\n<span style=\"font-size: 10pt;\">Therefore, S has the property non-P (the opposite of the property P).<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Negative form:<br \/>\n<\/span><span style=\"font-size: 10pt;\">The opposite of the subject S has the property non P<br \/>\n<\/span><span style=\"font-size: 10pt;\">Therefore, S has the property P (the opposite of the property non P)<\/span><\/p>\n<p>In practice, the \u00ab\u00a0logical form\u00a0\u00bb is obtained by replacing the indefinite terms (the variables), with letters. The original proposition is written in the standard form of the analyzed propositions, \u00ab\u00a0<strong>A<\/strong> is <strong>C<\/strong>\u00a0\u00bb (Ryan), or \u00ab\u00a0<strong>S<\/strong> is <strong>P<\/strong>\u00a0\u00bb (Walton). This <strong>shorthand<\/strong> is, very useful because it avoids the complicated formulations that are sometimes necessary to correctly express coreference.<br \/>\nA \u00ab\u00a0logical form\u00a0\u00bb, in the strong sense, would be a form that could be used in a logical calculation. But the only operation here is <span style=\"background-color: #ffff00;\"><strong>the <em>actualization<\/em> of the generic form (topos) into a specified form (enthymeme).<\/strong><\/span><\/p>\n<h2><span style=\"color: #800000; font-size: 12pt;\"><strong>2.2 Is the topos of opposites fallacious in itself?<\/strong><\/span><\/h2>\n<h4 style=\"padding-left: 40px;\"><span style=\"font-size: 12pt; color: #008000;\"><em><span style=\"text-decoration: underline;\">The topos of opposites is <span style=\"background-color: #ffff00;\">logically fallacious<\/span><\/span><\/em><\/span><\/h4>\n<p>The phrase \u00ab\u00a0<em>is not predicated<\/em>\u201d can be read as \u201c<em>is not true, acceptable, possible etc.<\/em>\u00a0\u00bb<br \/>\nApplied to the logical implication, \u00ab\u00a0<strong>A<\/strong> implies <strong>B<\/strong>\u00ab\u00a0, the topos validates the conclusion \u00ab\u00a0<strong>not P<\/strong> implies <strong>not Q<\/strong>\u00ab\u00a0. A sufficient condition is mistakenly considered to be necessary and sufficient. So, the conclusion is not \u00ab\u00a0quasi-logical\u00a0\u00bb, but simply <span style=\"background-color: #ffff00;\"><strong>false<\/strong><\/span>, as a case of a negation of the antecedent (<em>modus tollens<\/em>), see <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/deduction-e\/\">Deduction<\/a>.<\/p>\n<h3 style=\"padding-left: 40px;\"><span style=\"color: #008000;\"><em>The topos of opposites is <span style=\"background-color: #ffff00;\">conditionally valid<\/span><\/em><\/span><\/h3>\n<p>Consider an opaque box: 1) It contains two kinds of objects, cubes and spheres. 2) These objects are either red or green (<em>or<\/em> exclusive). 3) objects of the same shape have the same color.<br \/>\nAn observer pulls an object out of the box: it is a ball, and it is green.<br \/>\nIn this case, a ball is a non-cube, and a non-green object is red. We can safely conclude that the <strong>balls<\/strong> are <span style=\"text-decoration: underline;\">green<\/span>; and that the <strong>non balls<\/strong> (cubes) are <span style=\"text-decoration: underline;\">non green<\/span> (i.e., red).<\/p>\n<h2><span style=\"color: #800000; font-size: 12pt;\"><strong>2.3 The topos of the opposites in literature<\/strong><\/span><\/h2>\n<p>The topos of the opposites can be found in literary passages, where it serves as poetic oratorical amplification without losing its argumentative value of confirmation.<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><em>In Milton&rsquo;s<\/em> Paradise Lost<em>, [1667], Satan leads the war against the angels, and has just suffered a cruel defeat. He calls \u201chis potentates to council\u201d, and explains to their assembly how a new weapon of his invention \u2014 gunpowder and cannons \u2014 will enable them to take their revenge.<\/em><\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-size: 10pt;\">He ended, and his words their drooping cheer<\/span><br \/>\n<span style=\"font-size: 10pt;\">Enlighten\u2019d, and their languish\u2019d hope reviv\u2019d<\/span><br \/>\n<span style=\"font-size: 10pt;\">Th\u2019invention all admir\u2019d, and each how he<\/span><br \/>\n<span style=\"font-size: 10pt;\">To be th\u2019inventor mifs\u2019d; <span style=\"background-color: #ffff99;\"><strong><em>so <span style=\"color: #ff0000;\">easy<\/span>\u2019 it feemed<br \/>\nOnce <span style=\"color: #0000ff;\">found<\/span>, which yet <span style=\"color: #0000ff;\">unfound<\/span> moft would have thought<br \/>\n<span style=\"color: #ff0000;\">Impossible<\/span><\/em>.<\/strong><\/span><\/span><br \/>\n<span style=\"font-size: 10pt;\">Milton, <em>Paradise Lost<\/em>, [1667], Book VI, 498-501; (My italics) <a href=\"#_ftn1\">[1]<\/a>.<\/span><\/p>\n<p>The same conclusion applies to Columbus&rsquo; egg: \u00ab\u00a0<em>what seemed impossible before seems easy after.<\/em>\u00a0\u00bb<\/p>\n<h1><span style=\"color: #0000ff; font-size: 12pt;\"><strong>2. How does the topos apply?<\/strong><\/span><\/h1>\n<p>In the preceding cases, the topos is quite <em>easy to apply<\/em>, because it operates on the basic linguistic structure \u201c<strong>A<\/strong> is <strong>B<\/strong>\u201d (as in the previous cases), which can be easily transformed into \u201cNon<strong> A<\/strong> is non<strong> B<\/strong>\u201d.<\/p>\n<p>The topos is also <em>easy to<\/em> <em>identify<\/em>, when the final formulation of the argumentation \u201c<strong>A<\/strong> is <strong>B<\/strong>, therefore <strong>not-A<\/strong> is <strong>not-B<\/strong>\u201d, makes the relationship between the opposites transparent.<\/p>\n<p>In other cases, the topos is more deeply embedded in the discourse, and its perception and reconstruction are more complex. In all cases, simple or complex, an argument is needed to show that a given passage corresponds to such and such a specific type of argument, see <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/waste\/\">waste<\/a>; <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/scheme-argument-scheme-e\/\">argument scheme<\/a>. For example, how can we decide whether the following passage is structured by the topos of opposites (i.e., corresponds to an occurrence of the topos of opposites)?<\/p>\n<p style=\"padding-left: 40px;\"><em><span style=\"font-size: 10pt;\">It took billions of years and ideal conditions before humans appeared on the planet, maybe one global warming will be enough to make it disappear. <\/span><\/em><span style=\"font-size: 10pt;\">(Original<\/span><span style=\"font-size: 10pt;\"> formulation<\/span><span style=\"font-size: 10pt;\">)<\/span><\/p>\n<p>This is clearly an inferential structure, moving from a categorical statement about the past to a restricted statement about the future:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><strong>E1<\/strong>, <em>maybe<\/em> <strong>E2<\/strong><\/span><\/p>\n<p>The corresponding Toulminian structure is \u00ab\u00a0<em>Data<\/em>, SO, <em>Modal<\/em>, <em>Claim.<\/em>\u00a0\u00bb The two related statements have the same structure, and express consecutions. This parallelism bodes well for the occurrence of the topos of the opposites.<br \/>\nThe structure to be considered for the operation is not the simple grammatical structure \u00ab\u00a0S is P\u00a0\u00bb, but rather the consecutive structure:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">\u00ab\u00a0<strong>Conditions, Result<\/strong>\u00ab\u00a0, \u00ab\u00a0<strong>C<\/strong> resulted in <strong>R<\/strong>\u00ab\u00a0, or \u00ab\u00a0<strong>C<\/strong> (resultative) <strong>R<\/strong>.\u00a0\u00bb<\/span><\/p>\n<p>Do these <strong>C<\/strong> and <strong>R <\/strong>contain opposite predications about opposite subjects?<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">\u201c<em>It took billions of years and ideal conditions before humans appeared on the planet.<\/em>\u201d<\/span><br \/>\n<span style=\"font-size: 10pt;\"><em>It took<\/em> <strong>B <\/strong><em>before<\/em> <strong>A <\/strong>=<strong> B <\/strong>was necessary for<strong> A<\/strong>.<strong><br \/>\n<\/strong><em>Billions of years and ideal conditions<\/em> <strong>==&gt;<\/strong> (resulted in) <em>humans appearing on the planet.<br \/>\n<\/em><span style=\"background-color: #ffff99;\"><strong>CONDITION C1\u00a0<\/strong><em> ==&gt;\u00a0\u00a0 <\/em><strong>RESULT<\/strong> <strong>R1<\/strong><\/span><\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">\u201c<em>Maybe one global warming will be enough to make it disappear<\/em>\u201d.<\/span><br \/>\n<span style=\"font-size: 10pt;\"><em>Maybe<\/em><strong> <em>W<\/em><\/strong> <em>will be enough for<\/em> <strong><em>D<br \/>\n<\/em><\/strong><em>One global warming<\/em> <strong>==&gt;<\/strong> <em>will make <\/em><\/span><span style=\"font-size: 10pt;\"><span style=\"background-color: #ffff99;\"><em>humans disappear<\/em><em> from the planet.<\/em><\/span><\/span><br \/>\n<span style=\"font-size: 10pt;\"><span style=\"background-color: #ffff99;\"><strong>CONDITION<\/strong> <strong>C2<\/strong>]<em> \u00a0\u00a0 ==&gt;<\/em> <strong>RESULT<\/strong> <strong>R2<\/strong><br \/>\n<\/span><\/span><\/p>\n<p>The opposites are not to be sought in a simple predicative structure, but rather in the two parallel structures, \u201cC [<em>results in<\/em>] R\u201d. The results <strong>R1<\/strong> and <strong>R2<\/strong> are clearly opposites:<\/p>\n<p style=\"padding-left: 40px;\"><em><span style=\"font-size: 10pt;\">Humans appeared on the planet.<\/span><br \/>\n<span style=\"font-size: 10pt;\">to make [humanity] disappear.<\/span> <\/em><\/p>\n<p>Are their respective conditions in the same relationship? Condition <strong>C2,<\/strong> \u201c<em>one global warming<\/em>\u201d cannot be self-evidently opposed to condition <strong>C1,<\/strong> \u201c<em>it took billions of years and ideal conditions.<\/em>\u201d Nevertheless, their argumentative orientations are clearly opposed:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><strong>(i)<\/strong> <strong>C1<\/strong>, <em>it took billions of years and ideal conditions before<\/em> \u2026<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-size: 10pt;\">\u2014 <em>Billions of years<\/em> leads to conclusions like \u201c<em>that&rsquo;s a long time<\/em>\u201d<\/span><br \/>\n<span style=\"font-size: 10pt;\">\u2014\u00a0<em>ideal conditions<\/em> leads to conclusions like \u201c<em>it&rsquo;s rare, difficult to obtain<\/em>\u201d<\/span><br \/>\n<span style=\"font-size: 10pt;\">\u2014\u00a0The construction \u201c<em>it takes X(time) to do Y<\/em>\u201d is oriented toward \u201c<em>it&rsquo;s a lot (of time)<\/em>\u201d.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">These three orientations converge to give rise to the global conclusion, \u201cT<em>his is a very complex process.<\/em>\u201d<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><strong>(ii)<\/strong> Conversely, <strong>C2<\/strong> is oriented toward a class of conclusions of the type: \u201c<em>this is a very simple process<\/em>\u201d:<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-size: 10pt;\">\u2014 The determiner \u201c<em>one<\/em>\u201d is oriented towards uniqueness, \u201c<em>just one<\/em>\u201d, and simplicity.<\/span><br \/>\n<span style=\"font-size: 10pt;\">\u2014 <em>Will be enough<\/em> is oriented toward limitation, such as \u201c<em>not more than<\/em>\u201d, or \u201c<em>less than expected<\/em>\u201d, for a given performance.<\/span><\/p>\n<p>If this reconstruction is acceptable, then the following argumentative structure is attributed to the discourse:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><em>It was really <span style=\"text-decoration: underline;\">complicated<\/span><\/em> <strong>to produce R,<br \/>\n<\/strong><em>so, maybe,<\/em> <em>it will be very easy<\/em> <strong>for R to disappear<\/strong>.<\/span><\/p>\n<p>These examples also suggest that the classical Aristotelian formulation of the topos may be oversimplified.<\/p>\n<h1><span style=\"color: #0000ff; font-size: 12pt;\"><strong>3. Trivial and non-trivial conclusions <\/strong><strong>provided by the topos<\/strong><\/span><\/h1>\n<p>The use of the topos of opposites is a semantic reflex. Reasoning from opposites is a basic way of thinking, much like causal reasoning, or reasoning by analogy or by definition. Reasoning from opposites may seem to produce commonplace conclusions, empty because analytical reformulations of the original proposition, when both terms are equally obvious.<\/p>\n<p>Nevertheless, even in this case the topos helps to clarify the meaning of the words, which is no less necessary in philosophy than in general disputes:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Temperance is beneficial; for licentiousness is hurtful.\u00a0(Aristotle,<em> Rhet.<\/em>, II, 23; RR, p. 355)<\/span><\/p>\n<p>There are, however, cases in which the \u201copposite reflex\u201d may, or must, be inhibited: If a prayer says \u201c<em>Peace to those who love you<\/em>\u201d, should we apply the topos and conclude something like \u201c<em>War to those who don&rsquo;t<\/em>\u201d?<\/p>\n<p>Let us consider the following arguments based on the opposites:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">If war is the cause of our present problems, then peace is what we need to set things right. (<em>Ibid<\/em>.)<\/span><br \/>\n<span style=\"font-size: 10pt;\">Those who plunged the country into crisis may not be the best people to lead us out of it.<\/span><br \/>\n<span style=\"font-size: 10pt;\">We cannot trust the same failed market mechanisms to successfully steer the country out of this crisis (after Linguee, 25-10-2015).<\/span><\/p>\n<p>These conclusions are countered with the argument that \u00ab\u00a0we failed because of a lack of determination and radicalism\u00a0\u00bb:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">If we are in trouble, it is because we just have only fought a <em>limited<\/em> war; this limited war is the cause of our current difficulties<em>,<\/em> an<em> all-out war<\/em> is what we need to put things right again; only an all-out victory will bring us peace.<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Our policy has not failed, you have prevented us from actually implementing it<\/span><\/p>\n<p>The conclusion of the following example is not trivial:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">For even not evil-doers should \/ Anger us if they meant not what they did \/ Then can we owe no gratitude to such \/ As were constrained to do the good they did us<em>.<\/em> (Aristotle,<em> Rhet.<\/em>, II, 23; RR, p. 355)<\/span><\/p>\n<p>The following one is also quite suggestive:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Since in this world liars may win belief, \/ Be sure of the opposite likewise &#8211; that this world \/ Hears many a true word and believes it not (id., p. 357).<\/span><\/p>\n<p>The <em>opposites<\/em> reflex is a typical example of how argumentation leads us to see things from a different perspective, under a different formulation; or, as Grize would say, in a different light, see <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/schematization-e\/\">Schematization<\/a>.<\/p>\n<h2><span style=\"font-size: 12pt; color: #0000ff;\">4. A transcultural topos<\/span><\/h2>\n<p>As a semantic reflex, the topos of opposites combines well with analogical reasoning. Like the topos <em>a fortiori<\/em>, the topos of opposites has cross-cultural validity. The following two examples come from the Chinese tradition.<\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-size: 10pt;\">Wang Chung, <em>Four Things to be Avoided<\/em>. [2]<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">There are four things which, according to public opinion, must be avoided by all means. The first is to build an annex to a building on the west side, for such an annex is held to be inauspicious, and being so, is followed by a case of death. Owing to this apprehension, nobody in the world would dare to build facing the west. This prohibition dates from days of yore.\u00a0 [\u2026]<\/span><br \/>\n<span style=\"font-size: 10pt;\">On all the four sides of a house there is earth; how is it that three sides are not looked upon as of ill omen, and only an annex in the west is said to be unpropitious? How could such an annex be injurious to the body of earth. or hurtful to the spirit of the house? In case an annex in the west be unpropitious, would a demolition there be a good augury? Or, if an annex in the west be inauspicious, would it be a lucky omen in the east? For if there be something inauspicious, there must also be something auspicious, as bad luck has good luck as its correlate. [\u2026]<\/span><\/p>\n<p style=\"padding-left: 80px;\"><span style=\"font-size: 10pt;\">Han Fei Tzu. \u201cPrecautions within the palace\u201d. [3]<\/span><\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\">Moreover, whether one is ruler of a state of ten thousand chariots or of a thousand only, it is quite likely that his consort, his concubines, or the son he has designated as heir to his throne will wish for his early death. How do I know this is so? A wife is not bound to her husband by any ties of blood. If he loves her, she remains close to him; if not she becomes estranged. The saying goes, \u201cif the mother is favored, the son will be embraced\u201d. But if this is so, then the opposite must be, \u201cif the mother is despised, the son will be cast away.\u201d<\/span><\/p>\n<h2><span style=\"color: #0000ff; font-size: 12pt;\"><strong>5. <em>A contrario<\/em><\/strong><\/span><\/h2>\n<p style=\"padding-left: 80px;\"><span style=\"font-size: 10pt;\">Lat<em>in contrarius<\/em>, \u201ccontrary\u201d. Two constructions can be used to refer to the argument, with the same meaning:<\/span><br \/>\n<span style=\"font-size: 10pt;\">\u2014 the Latin preposition <strong><em>a<\/em><\/strong>: <strong>argument <em>a contrario sensu<\/em><\/strong>, \u201cby the opposite meaning\u201d<\/span><br \/>\n<span style=\"font-size: 10pt;\">\u2014\u00a0or, less commonly, the Latin preposition <strong><em>ex<\/em><\/strong>: \u201c<strong><em>complecti ex contrario<\/em><\/strong>\u201d \u201cconclude on the basis of the opposite meaning\u201d (Cicero, quoted in <em>Dicolat<\/em>, art. <em>Complector<\/em>)<em>.<br \/>\nS.<\/em> <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/ab-ad-ex-eng\/\">Latin labels<\/a><\/span><\/p>\n<p>The label \u201cargument <em>a contrario<\/em>\u201d can be used with the meaning of \u201cinversion\u201d, to refer to the various kinds of argumentations based on contradiction, S. <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/contradiction-e\/\">Contradiction<\/a>.<\/p>\n<p>Argumentation from the opposites, as defined in law, corresponds to one kind of argumentation <em>a contrario<\/em>:<\/p>\n<p style=\"padding-left: 40px;\"><span style=\"font-size: 10pt;\"><em>A discursive process according to which given a legal proposition asserting an obligation (or other normative qualification) of a subject (or a class of subjects), in the absence of any other express provision, we must exclude the validity of another legal proposition asserting the same obligation (or other normative qualification) with respect to any other subject (or class of subjects)<\/em>\u201d (Tarello 1972, p. 104).<br \/>\nThus, if a provision requires all young men, who have reached the age of 20, to perform their military service, it will be concluded, <em>a contrario<\/em>, that young girls are not subject to the same obligation. (Perelman 1979, p. 55)<\/span><\/p>\n<p>When a rule explicitly refers to a category of things, then it does not apply to the things that do not belong to that category. The rule applies only in the defined domain, to all the specified things, and only to them.<br \/>\nThis is an application of Grice&rsquo;s rule of quantity, which states that the speaker must provide just the necessary amount of information, no more and no less, see <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/cooperative-principle-e\/\">Cooperative principle<\/a>.<\/p>\n<p>This rule assumes that the legal system of law is well designed and stable, see <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/systemic\/\">systemic<\/a> principle. In a period of social change and revision of the law, the argumentation <a href=\"https:\/\/icar.cnrs.fr\/dicoplantin\/a-pari-eng\/\"><em>a pari<\/em><\/a> will be opposed to argumentation on the opposites. Women fighting for gender equality will refuse to contrast their status with that of men, and will demand that laws be applied <em>a pari<\/em>, be they beneficial (voting rights) or quite possibly less attractive (military service).<\/p>\n<p>There is no paradox in the fact that <em>a pari<\/em> \/ <em>a contrario<\/em> argumentation can be applied to the same material situation. Legal issues are not unanimous, and cannot be resolved by the automatic application of an algorithm; their discussion involves historical considerations, values and affects.<\/p>\n<hr \/>\n<p><a href=\"#_ftnref1\">[1]<\/a> Edinburgh: Donaldson.<br \/>\n[2]\u00a0Wang Chung, <em>Four Things to be Avoided<\/em>. In <em>Lun-h\u00eang<\/em>, \u201cBalanced Discussions\u201d, Book XXIII, Ch. III, 68. Translation and notes by Alfred Forke, Leipzig, 1906. Reprinted by Paragon Book Gallery, New York, 1962. (p. 793-794)<br \/>\n<span style=\"font-size: 10pt;\">Quoted from http:\/\/classiques.uqac.ca\/classiques\/wang_chung\/lunheng\/wangchung_lunheng.pdf<br \/>\n<\/span>[3]\u00a0Han Fei Tzu. <em>Basic Writings<\/em>. Section 17, \u201cPrecautions within the Palace\u201d. Translated by Burton Watson. New York, London, Columbia University Press, 1964. P. 84-85.<\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Argument from OPPOSITES We follow Freese and Rhys Roberts who use the term \u201c(topos) from \/ of the opposite\u201d in their translation of Aristotle&rsquo;s Rhetoric. Ryan uses the equivalent term contrary in his discussion of the topos (Ryan 1984). Contrary is also used in logic in the pair contrary \/ contradictory proposition. Since the topos [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-5184","post","type-post","status-publish","format-standard","hentry","category-non-classe"],"_links":{"self":[{"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/posts\/5184","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/comments?post=5184"}],"version-history":[{"count":25,"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/posts\/5184\/revisions"}],"predecessor-version":[{"id":5186,"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/posts\/5184\/revisions\/5186"}],"wp:attachment":[{"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/media?parent=5184"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/categories?post=5184"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/icar.cnrs.fr\/dicoplantin\/wp-json\/wp\/v2\/tags?post=5184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}