{"id":48493,"date":"2020-09-04T18:09:12","date_gmt":"2020-09-04T17:09:12","guid":{"rendered":"https:\/\/blogs.bmj.com\/bmj\/?p=48493"},"modified":"2020-09-07T10:50:30","modified_gmt":"2020-09-07T09:50:30","slug":"jeffrey-aronson-when-i-use-a-word-medical-fallacies","status":"publish","type":"post","link":"https:\/\/blogs.bmj.com\/bmj\/2020\/09\/04\/jeffrey-aronson-when-i-use-a-word-medical-fallacies\/","title":{"rendered":"Jeffrey Aronson: When I Use a Word . . . Medical fallacies"},"content":{"rendered":"<p><span style=\"font-weight: 400\">There are many types of fallacies and they are very common. The word comes from the Latin adjective fallax, deceitful or treacherous (of persons), misleading or deceptive (of things). The related verb is fallere, to trick or mislead, and the related noun is fallacia, deceptive behavior. In post-classical Latin fallacia came to mean a deceptive or misleading argument or a sophism, an instance of unsound or defective reasoning, and later an error or mistake. Specifically, in logic, it also came to mean an unintentional flaw of some sort that renders a syllogism invalid. When it is perpetrated deliberately, with the intention of deceiving, this is known as sophistry.<\/span><\/p>\n<p><span style=\"font-weight: 400\">In medicine perhaps the most common fallacy is <\/span><i><span style=\"font-weight: 400\">post hoc ergo propter hoc<\/span><\/i><span style=\"font-weight: 400\">, literally \u201cafter that and therefore because of it\u201d. This is the idea that because an outcome follows an intervention the latter must have caused the former. That this is not necessarily so is the basis of the scepticism with which anecdotal reports are generally treated. Occasionally, one may be able to demonstrate an association from one or a few cases, <\/span><a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC1702478\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">for example<\/span><\/a>,<span style=\"font-weight: 400\"> between-the-eyes adverse drug reactions, but such associations are not common.<\/span><\/p>\n<p><span style=\"font-weight: 400\">The only proper criterion among Bradford Hill\u2019s much cited <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/19417051\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">guidelines for causation<\/span><\/a><span style=\"font-weight: 400\"> is temporality. One cannot attribute association, let alone causation, if an outcome precedes an intervention. But even when the outcome follows the intervention, causation cannot necessarily be assumed; the relationship is not symmetrical.<\/span><\/p>\n<p><span style=\"font-weight: 400\">However, it is equally fallacious to assume that when an association between an intervention and an outcome has been demonstrated, nothing need be done about it unless it can be shown to be causative. That is not the case. If, for example, an intervention brings little or no benefit but is associated with a serious adverse event, causation does not have to be proven before making a regulatory decision to withhold or restrict the intervention. Thalidomide was withdrawn from the market long before the association with fetal anomalies was shown to be causative.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Another type of fallacy that can affect medical practice arises from the phenomenon called the undistributed middle, explained in Box 1.<\/span><\/p>\n<p><span style=\"font-weight: 400\">The politician\u2019s fallacy is a variety of the fallacy of the undistributed middle: \u201cSomething must be done, this is something, therefore we must do it.\u201d This version of the fallacy was first aired in an episode of the television programme \u201cYes Minister\u201d in <\/span><a href=\"https:\/\/www.youtube.com\/watch?v=vidzkYnaf6Y\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">1988<\/span><\/a><span style=\"font-weight: 400\">, during a discussion between Sir Arnold and Sir Humphrey, two high-ranking civil servants. Sir Humphrey quotes the syllogism, and Sir Arnold replies that doing the wrong thing is worse than doing nothing. Sir Humphrey\u2019s reply seals the deal: \u201cDoing <\/span><i><span style=\"font-weight: 400\">anything<\/span><\/i><span style=\"font-weight: 400\"> is worse than doing nothing\u201d. This is the policy sometimes known as \u201c<\/span><a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC3940585\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">masterly inactivity<\/span><\/a><span style=\"font-weight: 400\">\u201d, which I have previously called <\/span><a href=\"http:\/\/blogs.bmj.com\/bmj\/2015\/12\/11\/jeffrey-aronson-when-i-use-a-word-fabian-tactics\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">Fabian tactics<\/span><\/a><span style=\"font-weight: 400\">, and which, in medical practice at least, is sometimes preferable to damaging intervention.<\/span><\/p>\n<p><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/29440142\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">Inappropriate investigations<\/span><\/a><span style=\"font-weight: 400\"> and <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/29367314\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">overdiagnosis<\/span><\/a><span style=\"font-weight: 400\"> may be on the increase. And inappropriate treatment, or <\/span><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/9805031\/\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">therapeutic futility<\/span><\/a><span style=\"font-weight: 400\">, may be hard to resist. But most things get better without intervention. Furthermore, masterly inactivity does not necessarily mean doing nothing. It may, for example, involve masterly surveillance of populations or monitoring of individuals, a watch and wait approach. Of course, the phrase \u201cwatchful waiting\u201d appears to be oxymoronic: \u201cwatchful\u201d implies activity and \u201cwaiting\u201d implies passivity. But if surveillance and monitoring are in any sense watchful waiting, they combine both active and passive elements. <\/span><a href=\"http:\/\/www.ncbi.nlm.nih.gov\/pubmed\/22462653\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">Surveillance<\/span><\/a><span style=\"font-weight: 400\"> need not be qualified as either active or passive.<\/span><\/p>\n<p><span style=\"font-weight: 400\">Sometimes the costs of inaction, both therapeutic and fiscal, outweigh the potential harms of intervening, and decisions can be hard to make. In all cases, however, the probable correct course can be assessed by contrasting the possible benefits of an intervention with its potential harms. To assume, as some sometimes do, that an intervention is bound to produce benefits, even when supported by the slimmest of evidence, without considering even the possibility of harms, is bad medicine.<\/span><\/p>\n<p><em><strong>Jeffrey Aronson<\/strong>\u00a0is a clinical pharmacologist, working in the Centre for Evidence Based Medicine in Oxford\u2019s Nuffield Department of Primary Care Health Sciences. He is also president emeritus of the British Pharmacological Society.<\/em><\/p>\n<p><em><strong>Competing interests:<\/strong>\u00a0None declared.<\/em><\/p>\n<p><a href=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/box1_ja.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-48494 aligncenter\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/box1_ja.png\" alt=\"\" width=\"902\" height=\"640\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/box1_ja.png 902w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/box1_ja-300x213.png 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/box1_ja-768x545.png 768w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/box1_ja-640x454.png 640w\" sizes=\"auto, (max-width: 902px) 100vw, 902px\" \/><\/a><\/p>\n<table>\n<tbody>\n<tr style=\"border: 1px solid black\">\n<td style=\"border: 1px solid black\">\n<p style=\"text-align: center\"><strong>This week&#8217;s interesting integer: 290<\/strong><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">290 is the sum of squares in different ways: <\/span><\/li>\n<\/ul>\n<p>1<sup>2<\/sup> + 17<sup>2<\/sup>; 3<sup>2<\/sup> + 5<sup>2<\/sup> + 16<sup>2<\/sup>; 4<sup>2<\/sup> + 7<sup>2<\/sup> + 15<sup>2<\/sup>; 5<sup>2<\/sup> + 11<sup>2<\/sup> + 12<sup>2<\/sup>; 11<sup>2<\/sup> + 13<sup>2<\/sup>.<\/p>\n<ul>\n<li><span style=\"font-weight: 400\">It is the sum of four consecutive triangular numbers: <\/span><\/li>\n<\/ul>\n<p>T<sub>10<\/sub> + T<sub>11<\/sub> + T<sub>12<\/sub> + T<sub>13<\/sub> = 55 + 66 + 78 + 91 = 290.<\/p>\n<ul>\n<li><span style=\"font-weight: 400\">And the sum of consecutive integers in different ways:<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24<\/span><\/p>\n<p><span style=\"font-weight: 400\">56 + 57 + 58 + 59 + 60<\/span><\/p>\n<p><span style=\"font-weight: 400\">71 + 72 + 73 + 74<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">And the sum of consecutive primes in different ways:<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">67 + 71 + 73 + 79<\/span><\/p>\n<p><span style=\"font-weight: 400\">56 + 57 + 58 + 59 + 60<\/span><\/p>\n<p><span style=\"font-weight: 400\">71 + 72 + 73 + 74<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">Cunningham numbers<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">Cunningham numbers are those that can be expressed as one more or less than a perfect power;<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">290 = 17<sup>2<\/sup> + 1<\/sup><\/sup><\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">Sliding numbers<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">A sliding number is one that can be expressed as the sum of two numbers, the sum of whose reciprocals add up to the original number divided by some power of 10;<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">290 = 40 + 250 and 1\/40 + 1\/250 = 0.0290 = 290\/10<sup>4<\/sup><span style=\"font-weight: 400\">; so 290 is a sliding number;<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">Sliding numbers are very rare\u2014290 is only the 17<sup>th<\/sup>; the 600<sup>th<\/sup> sliding number is 2851006250, because it equals 409600000 + 2441406250 and 1\/409600000 + 1\/2441406250 = 0.000000002851006250 = 2851006250\/10<sup>18<\/sup>.<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">Sphenic numbers<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">Sphenic numbers are the products of three distinct primes;<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">290 = 2 \u00d7 5 \u00d7 29;<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">290 is therefore a sphenic number, and is thus the area of a cuboid with sides of length 2, 5, and 29 units.<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">Untouchable numbers<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">290 is an untouchable number, one that cannot be expressed as the sum of all the proper divisors of any other number. For example, the proper divisors of 9 are 1 and 3, whose sum is 4; therefore 4 is a touchable number, since it is the sum of the proper divisors of 9. There is no integer whose proper divisors add up to 290.\u00a0<\/span><\/p>\n<ul>\n<li><span style=\"font-weight: 400\">A hexagonal spiral<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400\">Starting with zero, write the integers consecutively in a hexagonal spiral, as follows:<\/span><\/p>\n<p><a href=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-48495 aligncenter\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_1.png\" alt=\"\" width=\"751\" height=\"694\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_1.png 751w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_1-300x277.png 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_1-640x591.png 640w\" sizes=\"auto, (max-width: 751px) 100vw, 751px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">Each of the diagonals in this spiral is a specific series of numbers. For example, the numbers in the red diagonal constitute the series of octagonal numbers, an example of which I showed in <\/span><a href=\"https:\/\/blogs.bmj.com\/bmj\/2020\/06\/29\/jeffrey-aronson-when-i-use-a-word-retractions-withdrawals-and-archives\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-weight: 400\">Interesting integer 280<\/span><\/a><span style=\"font-weight: 400\">\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400\">\u25cb<\/span> <span style=\"font-weight: 400\">Each of the members of the series in the orange diagonal is twice a pentagonal number, including 290:<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><a href=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_2.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-48497\" src=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_2.png\" alt=\"\" width=\"759\" height=\"460\" srcset=\"https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_2.png 759w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_2-300x182.png 300w, https:\/\/blogs.bmj.com\/bmj\/files\/2020\/09\/290_2-640x388.png 640w\" sizes=\"auto, (max-width: 759px) 100vw, 759px\" \/><\/a><\/p>\n<p>&nbsp;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>There are many types of fallacies and they are very common. The word comes from the Latin adjective fallax, deceitful or treacherous (of persons), misleading or deceptive (of things). The [&#8230;]<\/p>\n<p><a class=\"btn btn-secondary understrap-read-more-link\" href=\"https:\/\/blogs.bmj.com\/bmj\/2020\/09\/04\/jeffrey-aronson-when-i-use-a-word-medical-fallacies\/\">More&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":38359,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5762],"tags":[],"class_list":["post-48493","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-jeff-aronsons-words"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Jeffrey Aronson: When I Use a Word . . . 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