{"id":15,"date":"2006-06-28T21:57:28","date_gmt":"2006-06-28T21:57:28","guid":{"rendered":"http:\/\/trinities.org\/blog\/?p=15"},"modified":"2020-05-24T21:46:14","modified_gmt":"2020-05-25T02:46:14","slug":"diagram-shield-of-faith","status":"publish","type":"post","link":"https:\/\/trinities.org\/blog\/diagram-shield-of-faith\/","title":{"rendered":"Ye Olde Trinity Diagram: The Shield of Faith"},"content":{"rendered":"\n<div class=\"wp-block-image\"><figure class=\"alignright\"><img decoding=\"async\" src=\"http:\/\/trinities.org\/blog\/wp-content\/uploads\/2006\/06\/Shield-Trinity-Scutum-Fidei-variations-thumb.png\" alt=\"\"\/><\/figure><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">How many times have you seen one of these offered as an explanation or illustration of the doctrine of the Trinity?<a id=\"L16\"><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">There&#8217;s <strong>a good article about these <a title=\"Shield of Faith wikipedia article\" href=\"http:\/\/en.wikipedia.org\/wiki\/Shield_of_the_Trinity\">here<\/a><\/strong>, complete with some links to real medieval examples. Basically, this sort of Shield of Faith (Latin: <em>scutum fidei<\/em>) diagram seems to have originated in the high middle ages, with the intention of illustrating the doctrine.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In general, I love diagrams and visual aids when it comes to philosophy and theology. But rather than getting you nodding, though, I think this diagram ought to get you scratching your head. <strong>We should ask: what does it mean?<\/strong> How, that is, are we to read this chart?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">We naturally assume that &#8220;is&#8221; (<em>est<\/em>) means the same thing all around. What then, does it mean in the negative parts, e.g. where it says that the Father &#8220;is not&#8221; the Son. Presumably, one has noticed that some things are true of the Father, that are not true of the Son, and vice versa. By the distinctness of discernibles then, the chart is implying that Father and Son are <em>not <\/em>numerically one.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">So far, so good. These three claims of the outer ring seem plausible. Now we turn to the positive parts. (&#8220;The Son is God.&#8221; etc.) Doh! Does anyone see a problem here?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sorry to bore the philosophers and logicians out there, but permit me spell it out. Identity is by definition a transitive and asymmetric relation. So these two claims<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The Father is God.<\/li><li>The Son is God.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">imply that<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The Father is the Son.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">But on the outside of the chart, that very claim is denied. So <strong>the chart, on this interpretation, is asserting contradictory claims: <\/strong>for each of the Persons, that Person is, and isn&#8217;t, identical to each of the others.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Now it must be said that this contradictory interpretation is fine with some people! Its <em>supposed to be<\/em> a mystery, after all, and many mean a &#8220;mystery&#8221; to be an apparently contradictory doctrine.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The author(s) of the wikipedia article, though, draw a different conclusion:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\"><p>Of course, if the diagram is interpreted according to ordinary <a title=\"Logic\" href=\"http:\/\/en.wikipedia.org\/wiki\/Logic\">logic<\/a>, then it contains a number of contradictions (since the set of twelve propositions <a href=\"http:\/\/en.wikipedia.org\/wiki\/Shield_of_the_Trinity#Basic_description\">listed above<\/a> is mutually contradictory). However, if the three links connecting the three outer nodes of the diagram to the center node are interpreted as representing a non-<a title=\"Transitive relation\" href=\"http:\/\/en.wikipedia.org\/wiki\/Transitive_relation\">transitive<\/a> quasi-equivalence relation (where the statement &#8220;A is equivalent to C&#8221; does <em><strong>not<\/strong><\/em> follow from the two statements &#8220;A is equivalent to B&#8221; and &#8220;B is equivalent to C&#8221;), then the diagram is fully logically coherent and non-self-contradictory. So the medieval Shield of the Trinity diagram could be considered to contain some implicit kernel of the idea of <a title=\"Classical logic\" href=\"http:\/\/en.wikipedia.org\/wiki\/Classical_logic\">alternative logical systems<\/a>.<\/p><\/blockquote>\n\n\n\n<p class=\"wp-block-paragraph\">The point here is: maybe the &#8220;is&#8221; in the chart <em>shouldn&#8217;t<\/em> be read as numerical identity. Whatever relation it is, it must be non-transitive &#8211; then, the doctrine embodied in the chart has a hope of being consistent. <strong>The million-dollar question, then, is what exactly is this &#8220;quasi-equivalence&#8221; relation?<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In recent literature, there are a couple of closely related answers:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><a title=\"Mike's page at Notre Dame\" href=\"http:\/\/www.nd.edu\/%7Endphilo\/faculty\/mre.htm\">Michael Rea<\/a> and <a title=\"Brower's home page\" href=\"http:\/\/web.ics.purdue.edu\/%7Ebrower\/\">Jeff Brower<\/a> have suggested: &#8220;<strong>is constituted by<\/strong>&#8220;. So, for example, the Son is constituted by God, but is not constituted by the Father. What is &#8220;constitution&#8221;? Something analagous to material constitution &#8211; the relation between this mass of clay and this clay pot. See <a href=\"https:\/\/muse.jhu.edu\/login?auth=0&amp;type=summary&amp;url=\/journals\/logos\/v008\/8.1brower.html\" target=\"_blank\" rel=\"noreferrer noopener\">this paper<\/a> for a nice, readable discussion. Professional philosophers (and not many others!) will want to see <a href=\"https:\/\/www.pdcnet.org\/pdc\/bvdb.nsf\/purchase?openform&amp;fp=faithphil&amp;id=faithphil_2005_0022_0001_0057_0076\" target=\"_blank\" rel=\"noreferrer noopener\">this, fuller discussion<\/a>.<\/li><li><strong>Relative identity<\/strong>. This goes back to Peter Geach, A.P. Martinich, and others, and has recently been defended by <a title=\"Peter's Notre Dame page\" href=\"http:\/\/www.nd.edu\/%7Endphilo\/faculty\/pva.htm\">Peter van Inwagen<\/a>. Even though he&#8217;s against it, I suggest looking at Rea&#8217;s paper <a href=\"https:\/\/db625683-8460-4b9f-bc49-142ce07666c9.filesusr.com\/ugd\/c9fdf5_987e80cbc1d74da684a96819f73a4b54.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">here<\/a> for an introduction to this approach.<\/li><\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Both of these approaches result in a <em>consistent <\/em>trinitarianism, although other sorts of objections will crop up. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Back to the diagram,<strong> the best that can be said about it, is that it illustrates the problem of finding a self-consistent expression of &#8220;the&#8221; doctrine. A chart like this puzzles rather than informs<\/strong>, which can lead to a more developed, and possibly a believable version of the doctrine. Or it can lead to embracing an apparently contradictory form of the doctrine. But that&#8217;s <a href=\"https:\/\/trinities.org\/blog\/on-positive-mysterianism\/\" target=\"_blank\" rel=\"noreferrer noopener\">another topic<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How many times have you seen one of these offered as an explanation or illustration of the doctrine of the Trinity? There&#8217;s a good article about these here, complete with some links to real medieval examples. Basically, this sort of Shield of Faith (Latin: scutum fidei) diagram seems to have originated in the high middle&hellip;&nbsp;<a href=\"https:\/\/trinities.org\/blog\/diagram-shield-of-faith\/\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Ye Olde Trinity Diagram: The Shield of Faith<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":16,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"off","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","footnotes":""},"categories":[11,6,8,10],"tags":[],"class_list":["post-15","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-art","category-complaints","category-linkage","category-logic"],"_links":{"self":[{"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/posts\/15","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/comments?post=15"}],"version-history":[{"count":2,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/posts\/15\/revisions"}],"predecessor-version":[{"id":42475,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/posts\/15\/revisions\/42475"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/media\/16"}],"wp:attachment":[{"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/media?parent=15"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/categories?post=15"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/trinities.org\/blog\/wp-json\/wp\/v2\/tags?post=15"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}