Association fallacy

<h2 id="formal-version">Formal version</h2>

<p>Using the language of <a href="/facts/Set_theory/1ptfsvUP">set theory</a>, the formal fallacy can be written as follows:
</p>
Premise: A is in set S1
Premise: A is in set S2
Premise: B is also in set S2
Conclusion: Therefore, B is in set S1.
<p>In the notation of <a href="/facts/First-order_logic/lcISqWIg">first-order logic</a> (i.e. simplified logic for lightweights), this type of fallacy can be expressed as (<a href="/facts/%25E2%2588%2583/hHveaBYo">∃</a><i>x</i> <a href="/facts/%25E2%2588%2588/Q2mx1vHL">∈</a> <i>S</i> : <i>φ</i>(<i>x</i>)) ⇒ (<a href="/facts/%25E2%2588%2580/rQkbGGna">∀</a><i>x</i> ∈ <i>S</i> : <i>φ</i>(<i>x</i>)).
</p><p>The fallacy in the argument can be illustrated through the use of an <a href="/facts/Euler_diagram/qBTWHJIV">Euler diagram</a>: A satisfies the requirement that it is part of both sets S1 and S2, but representing this as an Euler diagram makes it clear that B could be in S2 but not S1.
</p>
<h2 id="guilt-by-association">Guilt by association</h2>
<p class="note">Further information: <a href="/facts/Ad_hominem/Nosco0bG">Ad hominem</a></p><p>This form of the argument is as follows:
</p><ul><li>Group A makes a particular claim.</li>
<li>Group B, which is currently viewed negatively by some, makes the same claim as Group A.</li>
<li>Therefore, Group A is viewed as associated with Group B, and is now also viewed negatively.</li></ul>
<p>An example of this fallacy would be "My opponent for office just received an endorsement from the Puppy Haters Association. Is that the sort of person you would want to vote for?"
</p>
<h3>Examples</h3>
<p>Some <a href="/facts/Syllogism/cgpmd6jB">syllogistic</a> examples of guilt by association:
</p>
<ul><li>John is a Con artist. John has black hair. Therefore, people with black hair are necessarily Con artists.</li>
<li>Lyle is a crooked salesman. Lyle proposes a monorail. Therefore, the proposed monorail is necessarily <a href="/facts/Folly/vNDGWdQ8">folly</a>.</li>
<li>Country X is a dangerous country. Country X has a national <a href="/facts/Postal_service/qF0nv7t9">postal service</a>. Therefore, countries with national postal services are necessarily dangerous.</li>
<li>Simon and Karl live in <a href="/facts/Nashville/KvWAcNtd">Nashville</a>, and they are both petty criminals. Jill lives in Nashville; therefore, Jill is necessarily a petty criminal.</li></ul>
<p>Guilt by association can sometimes also be a type of <i><a href="/facts/Ad_hominem/Nosco0bG">ad hominem</a></i>, if the argument attacks a person because of the similarity between the views of someone making an argument and other proponents of the argument.<a class="footnote-ref" id="fnref:2" href="#fn:2"><sup>2</sup></a><a class="footnote-ref" id="fnref:3" href="#fn:3"><sup>3</sup></a>
</p>
<h2 id="galileo-gambit">Galileo gambit</h2>
<p>A form of the association fallacy often used by those denying a well-established scientific or historical proposition is the so-called Galileo gambit or Galileo fallacy.<a class="footnote-ref" id="fnref:4" href="#fn:4"><sup>4</sup></a> The argument runs thus: <a href="/facts/Galileo/98VT2z3v">Galileo</a> was ridiculed in his time for his scientific observations, but was later acknowledged to be right; the proponent argues that since their non-mainstream views are provoking ridicule and rejection from other scientists, they will later be recognized as correct, like Galileo.<a class="footnote-ref" id="fnref:5" href="#fn:5"><sup>5</sup></a> The gambit is flawed in that being ridiculed does not necessarily correlate with being right and that many people who have been ridiculed in history were, in fact, wrong.<a class="footnote-ref" id="fnref:6" href="#fn:6"><sup>6</sup></a><a class="footnote-ref" id="fnref:7" href="#fn:7"><sup>7</sup></a> Similarly, <a href="/facts/Carl_Sagan/HhdhTggo">Carl Sagan</a> opined that people laughed at such geniuses as <a href="/facts/Christopher_Columbus/8hLAb46S">Christopher Columbus</a><a class="footnote-ref" id="fnref:8" href="#fn:8"><sup>8</sup></a> and the <a href="/facts/Wright_brothers/byU6xEkD">Wright brothers</a>, but "they also laughed at <a href="/facts/Bozo_the_Clown/7bS8d7Rl">Bozo the Clown</a>".<a class="footnote-ref" id="fnref:9" href="#fn:9"><sup>9</sup></a><a class="footnote-ref" id="fnref:10" href="#fn:10"><sup>10</sup></a> It is often committed by those whose theories reject common scientific consensus.<a class="footnote-ref" id="fnref:11" href="#fn:11"><sup>11</sup></a>
</p>
<h2 id="see-also">See also</h2>

<ul><li><a href="/facts/Common_purpose/jNph6jk2">Common purpose</a></li>
<li><a href="/facts/Discrimination/B2M2HqxR">Discrimination</a></li>
<li><a href="/facts/Genetic_fallacy/7EecBAcj">Genetic fallacy</a></li>
<li><a href="/facts/Jumping_to_conclusions/seqhpRud">Jumping to conclusions</a></li>
<li><a href="/facts/Motte-and-bailey_fallacy/CakxStt7">Motte-and-bailey fallacy</a></li>
<li><a href="/facts/Nine_familial_exterminations/ld6Y9Ccy">Nine familial exterminations</a></li>
<li><a href="/facts/Prejudice/6Pwnfk9d">Prejudice</a></li>
<li><a href="/facts/Presumption_of_guilt/lu2nKK0l">Presumption of guilt</a></li>
<li><a href="/facts/Propaganda_techniques/lKY7AHEb">Propaganda techniques</a></li>
<li><i><a href="/facts/Reductio_ad_Hitlerum/UPWQKbpy">Reductio ad Hitlerum</a></i></li>
<li><a href="/facts/Scapegoating/nDQTWkQ8">Scapegoating</a></li>
<li><a href="/facts/Sippenhaft/hjGE228p">Sippenhaft</a></li>
<li><a href="/facts/Social_stigma/HXG8pDsF">Social stigma</a></li>
<li><a href="/facts/Stereotype/UDveLU8n">Stereotype</a></li></ul>
<h2 id="footnotes">Footnotes</h2>

<h2 id="further-reading">Further reading</h2>
<ul><li>Hansen, Hans V.; Pinto, Robert C., eds. (1995). <i>Fallacies: Classical and Contemporary Readings</i>. Pennsylvania State University Press. <a href="/facts/ISBN_(identifier)/15AdSPa9">ISBN</a> 0-271-01417-2.</li>
<li><a href="http://www.ditext.com/eemeren/bib.html">Bibliography on Fallacies</a></li></ul>
<h2 id="external-links">External links</h2>
<ul><li><a href="http://www.fallacyfiles.org/guiltbya.html">The Fallacy Files</a> at Guilt by Association</li>
<li><a href="https://web.archive.org/web/20050301044628/http://www.propagandacritic.com/articles/ct.fc.transfer.html">"Transfer technique"</a> at Propagandacritic.com</li>
<li><a href="https://web.archive.org/web/20050301010917/http://www.propagandacritic.com/articles/ct.fc.testimonial.html">"Testimonial"</a> at Propagandacritic.com</li></ul>

<h2 id="references">References</h2>

<ol>
<li id="fn:1"><p>Curtis, G. N. "Emotional Appeal". Appeal to Hatred (AKA, Argumentum ad Odium) <a href="http://www.fallacyfiles.org/emotiona.html" target="_blank">http://www.fallacyfiles.org/emotiona.html</a> <a href="#fnref:1" class="footnote-back-ref">↩</a></p></li>
<li id="fn:2"><p>Labossiere, Michael C. (12 June 2014). "Fallacy: Guilt By Association". The Nizkor Project. Archived from the original on 4 October 2018. Retrieved 12 June 2014. <a href="https://web.archive.org/web/20181004015840/http://www.nizkor.org/features/fallacies/guilt-by-association.html" target="_blank">https://web.archive.org/web/20181004015840/http://www.nizkor.org/features/fallacies/guilt-by-association.html</a> <a href="#fnref:2" class="footnote-back-ref">↩</a></p></li>
<li id="fn:3"><p>Damer, T. Edward (21 February 2008). "6: Fallacies that Violate the Relevance Criterion". Attacking Faulty Reasoning: A Practical Guide to Fallacy-Free Arguments (6th ed.). Cengage Learning. p. 112. ISBN 978-1-111-79919-9. <a href="978-1-111-79919-9" target="_blank">978-1-111-79919-9</a> <a href="#fnref:3" class="footnote-back-ref">↩</a></p></li>
<li id="fn:4"><p>Collins, Loren (30 October 2012). Bullspotting: Finding Facts in the Age of Misinformation. Prometheus Books. pp. 27–28. ISBN 978-1-61614-635-1. <a href="978-1-61614-635-1" target="_blank">978-1-61614-635-1</a> <a href="#fnref:4" class="footnote-back-ref">↩</a></p></li>
<li id="fn:5"><p>Amsden, Brian. "Recognizing Microstructural Fallacies" (PDF). p. 22. Archived from the original (PDF) on 12 July 2019. Retrieved 24 March 2014. <a href="https://web.archive.org/web/20190712055955/http://www.indiana.edu/~c228/Fallacies.pdf" target="_blank">https://web.archive.org/web/20190712055955/http://www.indiana.edu/~c228/Fallacies.pdf</a> <a href="#fnref:5" class="footnote-back-ref">↩</a></p></li>
<li id="fn:6"><p>Collins, Loren (30 October 2012). Bullspotting: Finding Facts in the Age of Misinformation. Prometheus Books. pp. 27–28. ISBN 978-1-61614-635-1. <a href="978-1-61614-635-1" target="_blank">978-1-61614-635-1</a> <a href="#fnref:6" class="footnote-back-ref">↩</a></p></li>
<li id="fn:7"><p>Gorski, David (28 March 2005). The Galileo Gambit. Archived from the original on 28 February 2018. {{cite book}}: |website= ignored (help) <a href="/wiki/David_Gorski" target="_blank">/wiki/David_Gorski</a> <a href="#fnref:7" class="footnote-back-ref">↩</a></p></li>
<li id="fn:8"><p>The idea that Columbus proved that the Earth is spherical to his contemporaries is a historical misconception;[7] see Myth of the flat Earth. <a href="#fnref:8" class="footnote-back-ref">↩</a></p></li>
<li id="fn:9"><p>Shapiro, Fred R. (2006). The Yale Book of Quotations. Yale University Press. pp. 660. ISBN 9780300107982. <a href="9780300107982" target="_blank">9780300107982</a> <a href="#fnref:9" class="footnote-back-ref">↩</a></p></li>
<li id="fn:10"><p>Sagan, Carl (1979). Broca's Brain: Reflections on the Romance of Science. Random House. p. 64. ISBN 9780394501697. <a href="9780394501697" target="_blank">9780394501697</a> <a href="#fnref:10" class="footnote-back-ref">↩</a></p></li>
<li id="fn:11"><p>Johnson, David Kyle (2018-05-09), Arp, Robert; Barbone, Steven; Bruce, Michael (eds.), "Galileo Gambit", Bad Arguments (1 ed.), Wiley, pp. 152–156, doi:10.1002/9781119165811.ch27, ISBN 978-1-119-16578-1, retrieved 2024-02-03 <a href="978-1-119-16578-1" target="_blank">978-1-119-16578-1</a> <a href="#fnref:11" class="footnote-back-ref">↩</a></p></li>
</ol>

Association fallacy open-in-new

Association fallacy