1118 lines
114 KiB
HTML
1118 lines
114 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="UTF-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<link rel="profile" href="http://gmpg.org/xfn/11">
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<title>Models, models every where, so let’s have a think – Surfing Complexity</title>
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<meta name='robots' content='max-image-preview:large' />
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<!-- Async WordPress.com Remote Login -->
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<script id="wpcom_remote_login_js">
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var wpcom_remote_login_extra_auth = '';
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function wpcom_remote_login_remove_dom_node_id( element_id ) {
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var dom_node = document.getElementById( element_id );
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if ( dom_node ) { dom_node.parentNode.removeChild( dom_node ); }
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}
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function wpcom_remote_login_remove_dom_node_classes( class_name ) {
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var dom_nodes = document.querySelectorAll( '.' + class_name );
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for ( var i = 0; i < dom_nodes.length; i++ ) {
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dom_nodes[ i ].parentNode.removeChild( dom_nodes[ i ] );
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}
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}
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function wpcom_remote_login_final_cleanup() {
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wpcom_remote_login_remove_dom_node_classes( "wpcom_remote_login_msg" );
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wpcom_remote_login_remove_dom_node_id( "wpcom_remote_login_key" );
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wpcom_remote_login_remove_dom_node_id( "wpcom_remote_login_validate" );
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wpcom_remote_login_remove_dom_node_id( "wpcom_remote_login_js" );
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wpcom_remote_login_remove_dom_node_id( "wpcom_request_access_iframe" );
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wpcom_remote_login_remove_dom_node_id( "wpcom_request_access_styles" );
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}
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// Watch for messages back from the remote login
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window.addEventListener( "message", function( e ) {
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if ( e.origin === "https://r-login.wordpress.com" ) {
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var data = {};
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try {
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data = JSON.parse( e.data );
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} catch( e ) {
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wpcom_remote_login_final_cleanup();
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return;
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}
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if ( data.msg === 'LOGIN' ) {
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// Clean up the login check iframe
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wpcom_remote_login_remove_dom_node_id( "wpcom_remote_login_key" );
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var id_regex = new RegExp( /^[0-9]+$/ );
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var token_regex = new RegExp( /^.*|.*|.*$/ );
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if (
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token_regex.test( data.token )
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&& id_regex.test( data.wpcomid )
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) {
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// We have everything we need to ask for a login
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var script = document.createElement( "script" );
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script.setAttribute( "id", "wpcom_remote_login_validate" );
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script.src = '/remote-login.php?wpcom_remote_login=validate'
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+ '&wpcomid=' + data.wpcomid
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+ '&token=' + encodeURIComponent( data.token )
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+ '&host=' + window.location.protocol
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+ '//' + window.location.hostname
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+ '&postid=6055'
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+ '&is_singular=1';
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document.body.appendChild( script );
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}
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return;
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}
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// Safari ITP, not logged in, so redirect
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if ( data.msg === 'LOGIN-REDIRECT' ) {
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window.location = 'https://wordpress.com/log-in?redirect_to=' + window.location.href;
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return;
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}
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// Safari ITP, storage access failed, remove the request
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if ( data.msg === 'LOGIN-REMOVE' ) {
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var css_zap = 'html { -webkit-transition: margin-top 1s; transition: margin-top 1s; } /* 9001 */ html { margin-top: 0 !important; } * html body { margin-top: 0 !important; } @media screen and ( max-width: 782px ) { html { margin-top: 0 !important; } * html body { margin-top: 0 !important; } }';
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var style_zap = document.createElement( 'style' );
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style_zap.type = 'text/css';
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style_zap.appendChild( document.createTextNode( css_zap ) );
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document.body.appendChild( style_zap );
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var e = document.getElementById( 'wpcom_request_access_iframe' );
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e.parentNode.removeChild( e );
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document.cookie = 'wordpress_com_login_access=denied; path=/; max-age=31536000';
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return;
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}
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// Safari ITP
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if ( data.msg === 'REQUEST_ACCESS' ) {
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console.log( 'request access: safari' );
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// Check ITP iframe enable/disable knob
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if ( wpcom_remote_login_extra_auth !== 'safari_itp_iframe' ) {
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return;
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}
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// If we are in a "private window" there is no ITP.
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var private_window = false;
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try {
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var opendb = window.openDatabase( null, null, null, null );
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} catch( e ) {
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private_window = true;
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}
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if ( private_window ) {
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console.log( 'private window' );
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return;
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}
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var iframe = document.createElement( 'iframe' );
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iframe.id = 'wpcom_request_access_iframe';
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iframe.setAttribute( 'scrolling', 'no' );
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iframe.setAttribute( 'sandbox', 'allow-storage-access-by-user-activation allow-scripts allow-same-origin allow-top-navigation-by-user-activation' );
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iframe.src = 'https://r-login.wordpress.com/remote-login.php?wpcom_remote_login=request_access&origin=' + encodeURIComponent( data.origin ) + '&wpcomid=' + encodeURIComponent( data.wpcomid );
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var css = 'html { -webkit-transition: margin-top 1s; transition: margin-top 1s; } /* 9001 */ html { margin-top: 46px !important; } * html body { margin-top: 46px !important; } @media screen and ( max-width: 660px ) { html { margin-top: 71px !important; } * html body { margin-top: 71px !important; } #wpcom_request_access_iframe { display: block; height: 71px !important; } } #wpcom_request_access_iframe { border: 0px; height: 46px; position: fixed; top: 0; left: 0; width: 100%; min-width: 100%; z-index: 99999; background: #23282d; } ';
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var style = document.createElement( 'style' );
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style.type = 'text/css';
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style.id = 'wpcom_request_access_styles';
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style.appendChild( document.createTextNode( css ) );
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document.body.appendChild( style );
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document.body.appendChild( iframe );
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}
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if ( data.msg === 'DONE' ) {
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wpcom_remote_login_final_cleanup();
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}
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}
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}, false );
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// Inject the remote login iframe after the page has had a chance to load
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// more critical resources
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window.addEventListener( "DOMContentLoaded", function( e ) {
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var iframe = document.createElement( "iframe" );
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iframe.style.display = "none";
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iframe.setAttribute( "scrolling", "no" );
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iframe.setAttribute( "id", "wpcom_remote_login_key" );
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iframe.src = "https://r-login.wordpress.com/remote-login.php"
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+ "?wpcom_remote_login=key"
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+ "&origin=aHR0cHM6Ly9zdXJmaW5nY29tcGxleGl0eS5ibG9n"
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+ "&wpcomid=30291541"
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+ "&time=" + Math.floor( Date.now() / 1000 );
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document.body.appendChild( iframe );
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}, false );
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</script>
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<link rel='dns-prefetch' href='//s2.wp.com' />
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<link rel='dns-prefetch' href='//widgets.wp.com' />
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<link rel='dns-prefetch' href='//s1.wp.com' />
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<link rel='dns-prefetch' href='//s0.wp.com' />
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<link rel="alternate" type="application/rss+xml" title="Surfing Complexity » Feed" href="https://surfingcomplexity.blog/feed/" />
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<link rel="alternate" type="application/rss+xml" title="Surfing Complexity » Comments Feed" href="https://surfingcomplexity.blog/comments/feed/" />
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<link rel="alternate" type="application/rss+xml" title="Surfing Complexity » Models, models every where, so let’s have a think Comments Feed" href="https://surfingcomplexity.blog/2025/03/31/models-models-every-where-so-lets-have-a-think/feed/" />
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<script type="text/javascript">
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/* <![CDATA[ */
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function addLoadEvent(func) {
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var oldonload = window.onload;
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if (typeof window.onload != 'function') {
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window.onload = func;
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} else {
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window.onload = function () {
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oldonload();
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func();
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}
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}
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}
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/* ]]> */
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</script>
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<style id="wp-img-auto-sizes-contain-inline-css">
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img:is([sizes=auto i],[sizes^="auto," i]){contain-intrinsic-size:3000px 1500px}
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/*# sourceURL=wp-img-auto-sizes-contain-inline-css */
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</style>
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<link crossorigin='anonymous' rel='stylesheet' id='all-css-2-1' href='/_static/??-eJxtjEsKgDAMBS9kjbqwuBDPUtog9o9J8fpaEQSRBw8GhoEjC50iY2QIRWRf1i0SWOSstHsYQkr1TPFIsKNXjEbkRPyhVhM18J/0m8M3fFPVlzD3UnbTtWG0J2CTNNk=&cssminify=yes' type='text/css' media='all' />
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<style id="wp-emoji-styles-inline-css">
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img.wp-smiley, img.emoji {
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display: inline !important;
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border: none !important;
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box-shadow: none !important;
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height: 1em !important;
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width: 1em !important;
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margin: 0 0.07em !important;
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vertical-align: -0.1em !important;
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background: none !important;
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padding: 0 !important;
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}
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/*# sourceURL=wp-emoji-styles-inline-css */
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</style>
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<style id="wp-block-library-inline-css">
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:root{--wp-block-synced-color:#7a00df;--wp-block-synced-color--rgb:122,0,223;--wp-bound-block-color:var(--wp-block-synced-color);--wp-editor-canvas-background:#ddd;--wp-admin-theme-color:#007cba;--wp-admin-theme-color--rgb:0,124,186;--wp-admin-theme-color-darker-10:#006ba1;--wp-admin-theme-color-darker-10--rgb:0,107,160.5;--wp-admin-theme-color-darker-20:#005a87;--wp-admin-theme-color-darker-20--rgb:0,90,135;--wp-admin-border-width-focus:2px}@media (min-resolution:192dpi){:root{--wp-admin-border-width-focus:1.5px}}.wp-element-button{cursor:pointer}:root .has-very-light-gray-background-color{background-color:#eee}:root .has-very-dark-gray-background-color{background-color:#313131}:root .has-very-light-gray-color{color:#eee}:root .has-very-dark-gray-color{color:#313131}:root .has-vivid-green-cyan-to-vivid-cyan-blue-gradient-background{background:linear-gradient(135deg,#00d084,#0693e3)}:root .has-purple-crush-gradient-background{background:linear-gradient(135deg,#34e2e4,#4721fb 50%,#ab1dfe)}:root .has-hazy-dawn-gradient-background{background:linear-gradient(135deg,#faaca8,#dad0ec)}:root .has-subdued-olive-gradient-background{background:linear-gradient(135deg,#fafae1,#67a671)}:root .has-atomic-cream-gradient-background{background:linear-gradient(135deg,#fdd79a,#004a59)}:root .has-nightshade-gradient-background{background:linear-gradient(135deg,#330968,#31cdcf)}:root .has-midnight-gradient-background{background:linear-gradient(135deg,#020381,#2874fc)}:root{--wp--preset--font-size--normal:16px;--wp--preset--font-size--huge:42px}.has-regular-font-size{font-size:1em}.has-larger-font-size{font-size:2.625em}.has-normal-font-size{font-size:var(--wp--preset--font-size--normal)}.has-huge-font-size{font-size:var(--wp--preset--font-size--huge)}:root .has-text-align-center{text-align:center}:root .has-text-align-left{text-align:left}:root .has-text-align-right{text-align:right}.has-fit-text{white-space:nowrap!important}#end-resizable-editor-section{display:none}.aligncenter{clear:both}.items-justified-left{justify-content:flex-start}.items-justified-center{justify-content:center}.items-justified-right{justify-content:flex-end}.items-justified-space-between{justify-content:space-between}.screen-reader-text{word-wrap:normal!important;border:0;clip-path:inset(50%);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px;word-break:normal!important}.screen-reader-text:focus{background-color:#ddd;clip-path:none;color:#444;display:block;font-size:1em;height:auto;left:5px;line-height:normal;padding:15px 23px 14px;text-decoration:none;top:5px;width:auto;z-index:100000}html :where(.has-border-color){border-style:solid}html :where([style^=border-color],[style*=";border-color"],[style*="; border-color"]){border-style:solid}html :where([style^=border-top-color],[style*=";border-top-color"],[style*="; border-top-color"]){border-top-style:solid}html :where([style^=border-right-color],[style*=";border-right-color"],[style*="; border-right-color"]){border-right-style:solid}html :where([style^=border-bottom-color],[style*=";border-bottom-color"],[style*="; border-bottom-color"]){border-bottom-style:solid}html :where([style^=border-left-color],[style*=";border-left-color"],[style*="; border-left-color"]){border-left-style:solid}html :where([style^=border-width],[style*=";border-width"],[style*="; border-width"]){border-style:solid}html :where([style^=border-top-width],[style*=";border-top-width"],[style*="; border-top-width"]){border-top-style:solid}html :where([style^=border-right-width],[style*=";border-right-width"],[style*="; border-right-width"]){border-right-style:solid}html :where([style^=border-bottom-width],[style*=";border-bottom-width"],[style*="; border-bottom-width"]){border-bottom-style:solid}html :where([style^=border-left-width],[style*=";border-left-width"],[style*="; border-left-width"]){border-left-style:solid}html :where(img[class*=wp-image-]){height:auto;max-width:100%}:where(figure){margin:0 0 1em}html :where(.is-position-sticky){--wp-admin--admin-bar--position-offset:var(--wp-admin--admin-bar--height,0px)}@media screen and (max-width:600px){html :where(.is-position-sticky){--wp-admin--admin-bar--position-offset:0px}}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/common.min.css */
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</style>
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<style id="wp-block-image-inline-css">
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.scrim{background-color:#fff;height:100%;opacity:.9;position:absolute;width:100%;z-index:2000000}.wp-lightbox-overlay.active{visibility:visible}@media not (prefers-reduced-motion){.wp-lightbox-overlay.active{animation:turn-on-visibility .25s both}.wp-lightbox-overlay.active img{animation:turn-on-visibility .35s both}.wp-lightbox-overlay.show-closing-animation:not(.active){animation:turn-off-visibility .35s both}.wp-lightbox-overlay.show-closing-animation:not(.active) img{animation:turn-off-visibility .25s both}.wp-lightbox-overlay.zoom.active{animation:none;opacity:1;visibility:visible}.wp-lightbox-overlay.zoom.active .lightbox-image-container{animation:lightbox-zoom-in .4s}.wp-lightbox-overlay.zoom.active .lightbox-image-container img{animation:none}.wp-lightbox-overlay.zoom.active .scrim{animation:turn-on-visibility .4s forwards}.wp-lightbox-overlay.zoom.show-closing-animation:not(.active){animation:none}.wp-lightbox-overlay.zoom.show-closing-animation:not(.active) 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var(--wp--lightbox-scrollbar-width))/2 + var(--wp--lightbox-initial-left-position)),calc(-50vh + var(--wp--lightbox-initial-top-position))) scale(var(--wp--lightbox-scale));visibility:hidden}}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/image/style.min.css */
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</style>
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<style id="wp-block-image-theme-inline-css">
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:root :where(.wp-block-image figcaption){color:#555;font-size:13px;text-align:center}.is-dark-theme :root :where(.wp-block-image figcaption){color:hsla(0,0%,100%,.65)}.wp-block-image{margin:0 0 1em}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/image/theme.min.css */
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</style>
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<style id="wp-block-latest-posts-inline-css">
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.wp-block-latest-posts{box-sizing:border-box}.wp-block-latest-posts.alignleft{margin-right:2em}.wp-block-latest-posts.alignright{margin-left:2em}.wp-block-latest-posts.wp-block-latest-posts__list{list-style:none}.wp-block-latest-posts.wp-block-latest-posts__list li{clear:both;overflow-wrap:break-word}.wp-block-latest-posts.is-grid:not(.is-layout-grid){display:flex;flex-wrap:wrap}.wp-block-latest-posts.is-grid:not(.is-layout-grid) li{margin:0 1.25em 1.25em 0;width:100%}@media (min-width:600px){.wp-block-latest-posts.columns-2:not(.is-layout-grid) li{width:calc(50% - .625em)}.wp-block-latest-posts.columns-2:not(.is-layout-grid) li:nth-child(2n){margin-right:0}.wp-block-latest-posts.columns-3:not(.is-layout-grid) li{width:calc(33.33333% - .83333em)}.wp-block-latest-posts.columns-3:not(.is-layout-grid) li:nth-child(3n){margin-right:0}.wp-block-latest-posts.columns-4:not(.is-layout-grid) li{width:calc(25% - .9375em)}.wp-block-latest-posts.columns-4:not(.is-layout-grid) li:nth-child(4n){margin-right:0}.wp-block-latest-posts.columns-5:not(.is-layout-grid) li{width:calc(20% - 1em)}.wp-block-latest-posts.columns-5:not(.is-layout-grid) li:nth-child(5n){margin-right:0}.wp-block-latest-posts.columns-6:not(.is-layout-grid) li{width:calc(16.66667% - 1.04167em)}.wp-block-latest-posts.columns-6:not(.is-layout-grid) li:nth-child(6n){margin-right:0}}@media (max-width:600px){.wp-block-latest-posts-is-layout-grid[class*=columns-]:not(.has-native-responsive-grid){grid-template-columns:1fr}}:root :where(.wp-block-latest-posts.is-grid){padding:0}:root :where(.wp-block-latest-posts.wp-block-latest-posts__list){padding-left:0}.wp-block-latest-posts__post-author,.wp-block-latest-posts__post-date{display:block;font-size:.8125em}.wp-block-latest-posts__post-excerpt,.wp-block-latest-posts__post-full-content{margin-bottom:1em;margin-top:.5em}.wp-block-latest-posts__featured-image a{display:inline-block}.wp-block-latest-posts__featured-image img{height:auto;max-width:100%;width:auto}.wp-block-latest-posts__featured-image.alignleft{float:left;margin-right:1em}.wp-block-latest-posts__featured-image.alignright{float:right;margin-left:1em}.wp-block-latest-posts__featured-image.aligncenter{margin-bottom:1em;text-align:center}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/latest-posts/style.min.css */
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</style>
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<style id="wp-block-list-inline-css">
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ol,ul{box-sizing:border-box}:root :where(.wp-block-list.has-background){padding:1.25em 2.375em}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/list/style.min.css */
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</style>
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<style id="wp-block-paragraph-inline-css">
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.is-small-text{font-size:.875em}.is-regular-text{font-size:1em}.is-large-text{font-size:2.25em}.is-larger-text{font-size:3em}.has-drop-cap:not(:focus):first-letter{float:left;font-size:8.4em;font-style:normal;font-weight:100;line-height:.68;margin:.05em .1em 0 0;text-transform:uppercase}body.rtl .has-drop-cap:not(:focus):first-letter{float:none;margin-left:.1em}p.has-drop-cap.has-background{overflow:hidden}:root :where(p.has-background){padding:1.25em 2.375em}:where(p.has-text-color:not(.has-link-color)) a{color:inherit}p.has-text-align-left[style*="writing-mode:vertical-lr"],p.has-text-align-right[style*="writing-mode:vertical-rl"]{rotate:180deg}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/paragraph/style.min.css */
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</style>
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<style id="wp-block-search-inline-css">
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.wp-block-search__button{margin-left:10px;word-break:normal}.wp-block-search__button.has-icon{line-height:0}.wp-block-search__button svg{fill:currentColor;height:1.25em;min-height:24px;min-width:24px;vertical-align:text-bottom;width:1.25em}:where(.wp-block-search__button){border:1px solid #ccc;padding:6px 10px}.wp-block-search__inside-wrapper{display:flex;flex:auto;flex-wrap:nowrap;max-width:100%}:where(.wp-block-search__label){width:100%}.wp-block-search.wp-block-search__button-only .wp-block-search__button{box-sizing:border-box;display:flex;flex-shrink:0;justify-content:center;margin-left:0;max-width:100%}.wp-block-search.wp-block-search__button-only .wp-block-search__inside-wrapper{min-width:0!important;transition-property:width}.wp-block-search.wp-block-search__button-only .wp-block-search__input{flex-basis:100%;transition-duration:.3s}.wp-block-search.wp-block-search__button-only.wp-block-search__searchfield-hidden,.wp-block-search.wp-block-search__button-only.wp-block-search__searchfield-hidden .wp-block-search__inside-wrapper{overflow:hidden}.wp-block-search.wp-block-search__button-only.wp-block-search__searchfield-hidden .wp-block-search__input{border-left-width:0!important;border-right-width:0!important;flex-basis:0;flex-grow:0;margin:0;min-width:0!important;padding-left:0!important;padding-right:0!important;width:0!important}:where(.wp-block-search__input){-webkit-appearance:initial;-moz-appearance:initial;appearance:none;border:1px solid #949494;flex-grow:1;font-family:inherit;font-size:inherit;font-style:inherit;font-weight:inherit;letter-spacing:inherit;line-height:inherit;margin-left:0;margin-right:0;min-width:3rem;padding:8px;text-decoration:unset!important;text-transform:inherit}:where(.wp-block-search__button-inside .wp-block-search__inside-wrapper){background-color:#fff;border:1px solid #949494;box-sizing:border-box;padding:4px}:where(.wp-block-search__button-inside .wp-block-search__inside-wrapper) .wp-block-search__input{border:none;border-radius:0;padding:0 4px}:where(.wp-block-search__button-inside .wp-block-search__inside-wrapper) .wp-block-search__input:focus{outline:none}:where(.wp-block-search__button-inside .wp-block-search__inside-wrapper) :where(.wp-block-search__button){padding:4px 8px}.wp-block-search.aligncenter .wp-block-search__inside-wrapper{margin:auto}.wp-block[data-align=right] .wp-block-search.wp-block-search__button-only .wp-block-search__inside-wrapper{float:right}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/search/style.min.css */
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</style>
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<style id="wp-block-search-theme-inline-css">
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:where(.wp-block-search .wp-block-search__label){font-weight:700}.wp-block-search__button{border:1px solid #ccc;padding:.375em .625em}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/search/theme.min.css */
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</style>
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<style id="wp-block-library-inline-css-extra">
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.has-text-align-justify {
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text-align:justify;
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}
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.has-text-align-justify{text-align:justify;}
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/*# sourceURL=wp-block-library-inline-css */
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</style>
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<style id="classic-theme-styles-inline-css">
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.wp-block-button__link{background-color:#32373c;border-radius:9999px;box-shadow:none;color:#fff;font-size:1.125em;padding:calc(.667em + 2px) calc(1.333em + 2px);text-decoration:none}.wp-block-file__button{background:#32373c;color:#fff}.wp-block-accordion-heading{margin:0}.wp-block-accordion-heading__toggle{background-color:inherit!important;color:inherit!important}.wp-block-accordion-heading__toggle:not(:focus-visible){outline:none}.wp-block-accordion-heading__toggle:focus,.wp-block-accordion-heading__toggle:hover{background-color:inherit!important;border:none;box-shadow:none;color:inherit;padding:var(--wp--preset--spacing--20,1em) 0;text-decoration:none}.wp-block-accordion-heading__toggle:focus-visible{outline:auto;outline-offset:0}.wp-block-tab:not(.has-text-color){color:inherit!important}.wp-block-tab:not(.has-background){background-color:inherit!important}.wp-block-tab:focus,.wp-block-tab:hover{text-decoration:none}.wp-block-tab:focus-visible{outline:auto;outline-offset:0}
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/*# sourceURL=/wp-content/plugins/gutenberg-core/v23.9.1/build/styles/block-library/classic.min.css */
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</style>
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<style id="coblocks-inline-format-inline-css">
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.uppercase{text-transform:uppercase}
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/*# sourceURL=coblocks-inline-format-inline-css */
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</style>
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<link crossorigin='anonymous' rel='stylesheet' id='all-css-12-1' href='/_static/??-eJx9jEEOAiEQBD/kQECjeDC+ZWEnijIwYWA3/l72op689KFTVXplCCU3zE1z6reYRYfiUwlP0VYZpwxIJE4IFRd10HOU9iFA2iuhCiI7/ROiDt9WxfETT20jCOc4YUIa2D9t5eGA91xRBMZS7ATtPkTZvCtdzNEZt7f2fHq8Afl7R7w=&cssminify=yes' type='text/css' media='all' />
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<style id="global-styles-inline-css">
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:root{--wp--preset--aspect-ratio--square: 1;--wp--preset--aspect-ratio--4-3: 4/3;--wp--preset--aspect-ratio--3-4: 3/4;--wp--preset--aspect-ratio--3-2: 3/2;--wp--preset--aspect-ratio--2-3: 2/3;--wp--preset--aspect-ratio--16-9: 16/9;--wp--preset--aspect-ratio--9-16: 9/16;--wp--preset--color--black: #000000;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #fff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--color--medium-blue: #0087be;--wp--preset--color--bright-blue: #00aadc;--wp--preset--color--dark-gray: #4d4d4b;--wp--preset--color--light-gray: 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<article id="post-6055" class="post-6055 post type-post status-publish format-standard hentry category-formal-methods category-incidents category-resilience category-software category-systems">
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<header class="entry-header">
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<h1 class="entry-title">Models, models every where, so let’s have a think</h1> </header><!-- .entry-header --> <div class="entry-meta">
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<span class="byline">
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<a href="https://surfingcomplexity.blog/author/lorinh/" rel="author">Lorin Hochstein</a> </span>
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<span class="cat-links">
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<a href="https://surfingcomplexity.blog/category/formal-methods/" rel="category tag">formal methods</a>, <a href="https://surfingcomplexity.blog/category/systems/incidents/" rel="category tag">incidents</a>, <a href="https://surfingcomplexity.blog/category/resilience/" rel="category tag">resilience</a>, <a href="https://surfingcomplexity.blog/category/software/" rel="category tag">software</a>, <a href="https://surfingcomplexity.blog/category/systems/" rel="category tag">systems</a> </span><!-- .cat-links -->
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<span class="published-on">
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<time class="entry-date published updated" datetime="2025-03-31T21:53:11-07:00">March 31, 2025</time> </span>
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<span class="word-count">3 Minutes</span> </div><!-- .entry-meta -->
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<div class="entry-content">
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<p class="wp-block-paragraph">If you’re a regular reader of this blog, you’ll have noticed that I tend to write about two topics in particular:</p>
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<ol class="wp-block-list">
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<li>Resilience engineering</li>
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<li>Formal methods</li>
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</ol>
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<p class="wp-block-paragraph">I haven’t found many people who share both of these interests.</p>
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<figure class="wp-block-image size-large"><a href="https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png"><img data-attachment-id="6058" data-permalink="https://surfingcomplexity.blog/2025/03/31/models-models-every-where-so-lets-have-a-think/image-400/" data-orig-file="https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png" data-orig-size="673,433" data-comments-opened="1" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="image" data-image-description="" data-image-caption="" data-large-file="https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png?w=673" width="673" height="433" src="https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png?w=673" alt="" class="wp-image-6058" srcset="https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png 673w, https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png?w=150 150w, https://surfingcomplexity.blog/wp-content/uploads/2025/03/image-22.png?w=300 300w" sizes="(max-width: 673px) 100vw, 673px" /></a></figure>
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<p class="wp-block-paragraph">At one level, this isn’t surprising. Formal methods people tend to have an <em>analytic</em> outlook, and resilience engineering people tend to have a <em>synthetic</em> outlook. You can see the clear distinction between these two perspectives in the transcript of Leslie Lamport’s talk entitled <a href="https://lamport.azurewebsites.net/pubs/future-of-computing.pdf">The Future of Computing: Logic or Biology</a>. Lamport is clearly on the side of the logic, so much so that he ridicules the very idea of taking a biological perspective on software systems. By contrast, resilience engineering types actively look to biology for inspiration on understanding resilience in complex adaptive systems. A great example of this is the late Richard Cook’s talk on <a href="https://www.adaptivecapacitylabs.com/2020/01/23/the-resilience-of-bone-and-resilience-engineering/">The Resilience of Bone</a>. </p>
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<p class="wp-block-paragraph">And yet, the two fields both have something in common: they both recognize the value of <em>creating explicit models of aspects of systems that are not typically modeled</em>.</p>
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<p class="wp-block-paragraph">You use formal methods to build a model of some aspect of your software system, in order to help you reason about its behavior. A formal model of a software system is a partial one, typically only a very small part of the system. That’s because it takes effort to build and validate these models: the larger the model, the more effort it takes. We typically focus our models on a part of the system that humans aren’t particularly good at reasoning about unaided, such as concurrent or distributed algorithms. </p>
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<p class="wp-block-paragraph">The act of creating and explicit model and observing its behavior with a model checker gives you a new perspective on the system being modeled, because the explicit modeling forces you to think about aspects that you likely wouldn’t have considered. You won’t say “I never imagined X could happen” when building this type of formal model, because it forces you to explicitly think about what would happen in situations that you can gloss over when writing a program in a traditional programming language. While the scope of a formal model is small, you have to exhaustively specify the thing within the scope you’ve defined: there’s no place to hide. </p>
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<p class="wp-block-paragraph">Resilience engineering is also concerned with explicit models, in two different ways. In one way, resilience engineering stresses the inherent limits of models for reasoning about complex systems (c.f., <a href="https://www.itsonlyamodel.com/">itsonlyamodel.com</a>). Every model is incomplete in potentially dangerous ways, and every incident can be seen through the lens of <em>model error</em>: some model that we had about the behavior of the system turned out to be incorrect in a dangerous way.</p>
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<p class="wp-block-paragraph">But beyond the limits of models, what I find fascinating about resilience engineering is the emphasis on explicitly modeling aspects of the system that are frequently ignored by traditional analytic perspectives. Two kinds of models that come up frequently in resilience engineering are <em>mental models</em> and <em>models of work</em>. </p>
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<p class="wp-block-paragraph">A resilience engineering perspective on an incident will look to make explicit aspects of the practitioners’ mental models, both in the events that led up to that incident, and in the response to the incident. When we ask “<em>How did the decision make sense at the time?</em>“, we’re trying to build a deeper understanding of someone else’s state of mind. We’re explicitly trying to build a descriptive model of how people made decisions, based on what information they had access to, their beliefs about the world, and the constraints that they were under. This is a meta sort of model, a model of a mental model, because we’re trying to reason about how somebody else reasoned about events that occurred in the past. </p>
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<p class="wp-block-paragraph">A resilience engineering perspective on incidents will also try to build an explicit model of how work happens in an organization. You’ll often heard the short-hand phrase <em><strong>work-as-imagined vs work-as-done</strong></em> to get at this modeling, where it’s the <em>work-as-done</em> that is the model that we’re after. The resilience engineering perspective asserts that the documented processes of how work is supposed to happen is not an accurate model of how work actually happens, and that the deviation between the two is generally successful, which is why it persists. From resilience engineering types, you’ll hear questions in incident reviews that try to elicit some more details about how the work really happens. </p>
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<p class="wp-block-paragraph">Like in formal methods, resilience engineering models only get at a small part of the overall system. There’s no way we can build complete models of people’s mental models, or generate complete descriptions of how they do their work. But that’s ok. Because, like the models in formal methods, the goal is not completeness, but insight. Whether we’re building a formal model of a software system, or participating in a post-incident review meeting, we’re trying to get the maximum amount of insight for the modeling effort that we put in. </p>
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Published by <span class="author-name">Lorin Hochstein</span> </h2>
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View all posts by Lorin Hochstein </a>
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_stq.push([ 'clickTrackerInit', '30291541', '6055' ]);
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<noscript><img src="https://pixel.wp.com/b.gif?v=noscript" style="height:1px;width:1px;overflow:hidden;position:absolute;bottom:1px;" alt="" /></noscript>
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<meta id="bilmur" property="bilmur:data" content="" data-provider="wordpress.com" data-service="simple" data-site-tz="America/Los_Angeles" data-custom-props="{"logged_in":"0","wptheme":"pub\/independent-publisher-2","wptheme_is_block":"0"}" >
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<script defer src="/wp-content/js/bilmur.min.js?i=17&m=202637"></script>
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<script>
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(function() {
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'use strict';
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const fetches = {};
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const promises = {};
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const urls = {
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'wp-polyfill': '/wp-includes/js/dist/vendor/wp-polyfill.min.js?m=1786440387i&ver=3.15.0',
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'verbum': '/wp-content/mu-plugins/jetpack-mu-wpcom-plugin/moon/jetpack_vendor/automattic/jetpack-mu-wpcom/src/build/verbum-comments/verbum-comments.js?m=1788898305i&minify=false&ver=3d6130a57c3104d5bc3b'
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};
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const loaders = {
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'verbum': () => {
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fetchExternalScript('wp-polyfill');
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fetchExternalScript('verbum');
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promises['wp-polyfill'] = promises['wp-polyfill'] || loadWPScript('wp-polyfill');
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promises['verbum'] = promises['verbum'] || promises['wp-polyfill'].then( () => loadWPScript('verbum') );
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return promises['verbum'];
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},
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};
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const scriptExtras = {
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};
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window.WP_Enqueue_Dynamic_Script = {
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loadScript: (handle) => {
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if (!loaders[handle]) {
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console.error('WP_Enqueue_Dynamic_Script: unregistered script `' + handle + '`.');
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}
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return loaders[handle]();
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}
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};
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function fetchExternalScript(handle) {
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if (!urls[handle]) {
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return Promise.resolve();
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}
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fetches[handle] = fetches[handle] || fetch(urls[handle], { mode: 'no-cors' });
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return fetches[handle];
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}
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function runExtraScript(handle, type, index) {
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const id = 'wp-enqueue-dynamic-script:' + handle + ':' + type + ':' + (index + 1);
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const template = document.getElementById(id);
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return Promise.reject();
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}
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const script = document.createElement( 'script' );
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script.innerHTML = template.innerHTML;
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document.body.appendChild( script );
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return Promise.resolve();
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}
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function loadExternalScript(handle) {
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return Promise.resolve();
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}
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return fetches[handle].then(() => {
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return new Promise((resolve, reject) => {
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const script = document.createElement('script');
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script.onload = () => resolve();
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script.onerror = (e) => reject(e);
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script.src = urls[handle];
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document.body.appendChild(script);
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});
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});
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}
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function loadExtra(handle, pos) {
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const count = (scriptExtras[handle] && scriptExtras[handle][pos]) || 0;
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let promise = Promise.resolve();
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for (let i = 0; i < count; i++) {
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promise = promise.then(() => runExtraScript(handle, pos, i));
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}
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return promise;
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}
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function loadWPScript(handle) {
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// Core loads scripts in this order. See: https://github.com/WordPress/WordPress/blob/a59eb9d39c4fcba834b70c9e8dfd64feeec10ba6/wp-includes/class-wp-scripts.php#L428.
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return loadExtra(handle, 'translations')
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} )();
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</body>
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</html>
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