{"id":164,"date":"2020-06-13T00:09:53","date_gmt":"2020-06-13T00:09:53","guid":{"rendered":"https:\/\/cosmogony.ar\/?p=164"},"modified":"2020-07-23T04:21:12","modified_gmt":"2020-07-23T04:21:12","slug":"mental-models","status":"publish","type":"post","link":"https:\/\/cosmogony.ar\/en\/mental-models\/","title":{"rendered":"Mental models"},"content":{"rendered":"<p>I quote an old fable: Someone asks a philosopher what the world is like.<br \/>\n\u2014The world is one big ball resting on the back of a big turtle.<br \/>\n\u2014And what does that big turtle lean on?<br \/>\n\u2014On an even bigger turtle.<br \/>\n\u2014Well, but&#8230; where is the second turtle leaning?<br \/>\n\u2014In a bigger one, sir. There&#8217;s always an other turtle underneath.<\/p>\n<p>It&#8217;s an idea of the world based on an endless pile of turtles. You can&#8217;t say it&#8217;s<br \/>\na consistent mental model because it&#8217;s based on infinity. In this case, an<br \/>\ninfinite number of ever-larger turtles.<\/p>\n<p>When the infinite appears, we&#8217;re in trouble.<!--more--><br \/>\nIn the real world nothing exists in infinite quantity. It is a characteristic of<br \/>\nmateriality that there is a specific, defined quantity. However, some people<br \/>\nbelieve that space could be infinite because it is empty, that it could be<br \/>\nconsidered as nothing, and nothing has no quantity.<\/p>\n<p>Fake. We know that empty space, without matter, still has a certain energy<br \/>\nthat is called the <em>energy of the void.<\/em> Space is &#8220;something,&#8221; even though we<br \/>\nstill cannot explain what that something means, what its true nature is.<\/p>\n<p>That is why mental models that resort to infinity to sustain themselves have<br \/>\nan imaginary foundation. They construct buildings on a mirage.<\/p>\n<p>For example, the flat earth model. It has no limits, extends endlessly in all<br \/>\ndirections and uses the problematic infinity as its argument.<br \/>\nSome assume that&#8217;s what the ancients believed: that the earth was flat. But it<br \/>\nreally is an urban myth. The thinkers of other times were not as naive as<br \/>\nsome people imagine today. Some of them were really cool.<\/p>\n<p>Eratosthenes, a director of the old library in Alexandria, set out to calculate<br \/>\nthe size of the planet. He had two vertical rods placed in two distant cities,<br \/>\nSiena and Alexandria, and measured their shadows at noon.<\/p>\n<p>The shadows turned out different. By calculating the curvature needed to<br \/>\ncreate those shadows, he got the full circumference with that curvature.<br \/>\nHe obtained a certain number of stadiums, an old measure, equivalent to<br \/>\nabout 40,000 km. \u2014nearly 25,000 miles\u2014 Today we know that the equatorial<br \/>\ncircumference measures 40,075 km.<br \/>\nEratosthenes made that calculation about 200 years before Christ.<\/p>\n<p>Today, in a world of cell phones and the Internet, we couldn&#8217;t be fooled with<br \/>\nunsustainable ideas; at least we think so. Perhaps it is true in everyday life<br \/>\nsince current problems and tasks require common sense.<\/p>\n<p>But ideas that are beyond the everyday level are outside of what we call<br \/>\ncommon sense. One such idea is that matter is made up of molecules, atoms<br \/>\nand various elementary particles such as the electron or proton.<\/p>\n<p>Then a mental model emerges that is obvious to us. All matter in the<br \/>\nuniverse is made up of particles, except for radio waves, wifi waves, and the<br \/>\nlike such as light. But what is palpable, concrete, is made of really small,<br \/>\nultra-microscopic canon-balls of matter.<\/p>\n<p>That&#8217;s obvious. What&#8217;s the problem?<br \/>\nThe problem is in the idea of small canon-ball matter.<\/p>\n<p>We were taught that they are the building blocks, the smallest possible<br \/>\nscale. The bricks that build the ultimate, final, definitive reality.<\/p>\n<p>Well, I regret to inform that such idea is inconsistent. It doesn&#8217;t work.<\/p>\n<p>I&#8217;m hurrying to explain before it&#8217;s too late, with a thought experiment.<br \/>\nSuppose that something supernatural, God or the devil, gave us an infallible<br \/>\nmachine to cut matter, no matter how hard or how small it is. If there&#8217;s<br \/>\nsomething solid, it will cut it in half.<\/p>\n<p>We place a sheet of A4 paper, for example, and see that the machine cuts it<br \/>\ninto two perfect pieces, as it should. We put one of the pieces in its place,<br \/>\nwhich is again cut in half.<br \/>\nAnd now the million dollar question: How long will that machine be cutting<br \/>\nup the paper?<\/p>\n<p>Everything learned about molecules, atoms, electrons, etc., is out of the<br \/>\nquestion. Only ideas that use our own logic are valid, as the ancient Greek<br \/>\nphilosophers did. \u2014How long will that machine be cutting up paper?<\/p>\n<p>\u2014Until there&#8217;s nothing left \u2014it&#8217;s a frequent response.<\/p>\n<p>Good. Using the scientific method, we tentatively accept that answer.<\/p>\n<p>Admitting that there is a precise moment when there is nothing left, it<br \/>\nfollows that at the previous moment there was still some microscopic piece of paper. Since there was something, the machine cut it and got&#8230; two pieces of nothing.<\/p>\n<p>Clearly, we won&#8217;t achieve anything by dividing something. So the<br \/>\nalternative answer would be to continue splitting the paper forever.<\/p>\n<p>That&#8217;s easy to say. But the universe could come to an end and the machine<br \/>\nwould still keep on cutting for all eternity; cutting for an infinite time. We&#8217;re<br \/>\ninvoking the famous infinity to justify the answer.<\/p>\n<p>The idea of a final ball of matter is problematic. It creates paradoxes.<\/p>\n<p>The ancient Greek philosophers realized the paradoxes, so they postulated<br \/>\nthat there should be an<em> atomon<\/em>, a final indivisible partition. This is precisely<br \/>\nwhat Democritus of Abdera postulated, without explaining the cause that<br \/>\nprevents the division of the atomon.<br \/>\nBecause Democritus didn&#8217;t talk about physical details. He was just making a<br \/>\nlogical argument. There were no particle accelerators in those days.<\/p>\n<p>Today&#8217;s science has another answer based on something called fields, such<br \/>\nas the magnetic field or gravitational field, but defined at the quantum level.<br \/>\nAn electron field is defined, for example, that gives rise to electrons. You<br \/>\ncould imagine it as an ocean of invisible energy, where there are waves that<br \/>\nwould be the electrons. -Although the waves wouldn&#8217;t be a very good<br \/>\nexample.<br \/>\nLet&#8217;s say rather that an electron is like a whirlpool of energy in a stable<br \/>\nquantum field. It&#8217;s concentrated energy, not a ball of matter.<\/p>\n<p>That stops our machine. It can&#8217;t cut energy.<\/p>\n<p>The standard model of physics today is field theory, not particle theory. But<br \/>\nit&#8217;s hard to take in, and that&#8217;s why we keep talking about particles.<br \/>\nThey call it a model agreement because it was an international agreement of<br \/>\nthe scientific community. It was the most successful model in the history of<br \/>\nscience. It created the technology that changed everyday reality for good.<br \/>\nHowever, this consensus model can not explain everything.<\/p>\n<p>The current expansion of the universe requires a mysterious force they call<br \/>\ndark energy. Galaxies spin as if they have a mass far greater than that<br \/>\ndetected by telescopes. Perhaps they have dark matter inside them that<br \/>\nproduces a huge gravitational field. We don&#8217;t know yet.<\/p>\n<p>To achieve a Theory of Everything, that is to say, a mathematical structure<br \/>\nthat could support all physical phenomena, was the dream pursued by<br \/>\nscientists in the last century. Today, it seems like a very distant goal.<\/p>\n<p>Hawking said: &#8220;If we ever come to a theory of everything, it will be nothing<br \/>\nbut equations. What is it that breathes fire into those equations so that a<br \/>\nphysical universe emerges from them?&#8221;<\/p>\n<p>It means that we don&#8217;t really know what&#8217;s behind the laws of physics for<br \/>\nthem to exist and to work. We don&#8217;t really know what life is, or what<br \/>\nconsciousness is, or what causes this gigantic and mysterious universe.<\/p>\n<p>These are the big questions. Some are outside the realm of science because<br \/>\nthere are no physical resources to address them. They become questions<br \/>\nbeyond the physical: they are metaphysical. As the reason for a universe<br \/>\nwith living beings, if there are reasons or purposes for their existence.<\/p>\n<p>The answers are philosophical ideas, religious beliefs, myths and legends.<\/p>\n<p>Implicit in the scientific community is an existential nihilism. These are<br \/>\ndifficult words to say that there is no proof that life has any purpose or any<br \/>\nobjective meaning, nor is there any proof of the purpose of the universe.<br \/>\nWhich is very true: there is no proof. Although that doesn&#8217;t prove anything<br \/>\neither.<br \/>\nFurthermore, if the world is created by blind forces without meaning or<br \/>\npurpose, it becomes difficult to maintain values based on subjective,<br \/>\nchanging, unpredictable human agreements.<\/p>\n<p>The great religions sought to avoid this situation by means of precepts given<br \/>\nby God himself, according to dogma, to govern human conduct.<br \/>\nThis worked pretty well for millennia. If the stars revolved around us day<br \/>\nand night, we were the center of creation. Therefore, God was certainly<br \/>\naware of us, contemplating and judging our actions.<\/p>\n<p>But that picture has changed. The technology of large telescopes and space<br \/>\nprobes confirmed, definitively, that we are not the center of any creation nor<br \/>\nthe center of the universe.<\/p>\n<p>What&#8217;s more, it revealed the size of that universe with billions of galaxies,<br \/>\nwhere each one is like an ocean of suns with countless numbers of planets.<\/p>\n<p>We currently know that our world is a speck of dust at infinity.<br \/>\nAt this time we are coming, I think, to the end of the childhood of reason.<\/p>\n<p>That is why I show a paradigm that can be placed between nihilism and<br \/>\ndogmas. A millenary idea of the world maintained for generations through<br \/>\nchains of knowledge of instructors and practitioners.<\/p>\n<p>They talked about galaxies long before large telescopes and also about the<br \/>\nrelative perception of time, as relativistic physics did later.<\/p>\n<p>They described a type of matter that does not evolve in time and does not<br \/>\nexist in our world, much like what we now call black holes.<\/p>\n<p>Finally, they said that the universe is a living, conscious entity in very<br \/>\ndifferent degrees. A gigantic web of existence on every level.<\/p>\n<p>That age-old paradigm is a mental model that has a strange consistency.<br \/>\nIt would be worth considering, in addition to the current ones.<\/p>\n<p style=\"text-align: center;\">* * *<\/p>\n<p><\/p>","protected":false},"excerpt":{"rendered":"<p>I quote an old fable: Someone asks a philosopher what the world is like. \u2014The world is one big ball resting on the back of a big turtle. \u2014And what does that big turtle lean on? \u2014On an even bigger turtle. \u2014Well, but&#8230; where is the second turtle leaning? \u2014In a bigger one, sir. There&#8217;s [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":233,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-164","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mental models - cosmogony<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/cosmogony.ar\/en\/mental-models\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mental models - cosmogony\" \/>\n<meta property=\"og:description\" content=\"I quote an old fable: Someone asks a philosopher what the world is like. \u2014The world is one big ball resting on the back of a big turtle. \u2014And what does that big turtle lean on? \u2014On an even bigger turtle. \u2014Well, but&#8230; where is the second turtle leaning? \u2014In a bigger one, sir. There&#8217;s [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/cosmogony.ar\/en\/mental-models\/\" \/>\n<meta property=\"og:site_name\" content=\"cosmogony\" \/>\n<meta property=\"article:published_time\" content=\"2020-06-13T00:09:53+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-07-23T04:21:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/cosmogony.ar\/wp-content\/uploads\/2020\/06\/Modelos-mentales.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1654\" \/>\n\t<meta property=\"og:image:height\" content=\"1090\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Carlos Aguirre\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Carlos Aguirre\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"17 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/mental-models\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/mental-models\\\/\"},\"author\":{\"name\":\"Carlos Aguirre\",\"@id\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/#\\\/schema\\\/person\\\/e0842856fab1c1fd04190623696e3136\"},\"headline\":\"Mental models\",\"datePublished\":\"2020-06-13T00:09:53+00:00\",\"dateModified\":\"2020-07-23T04:21:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/mental-models\\\/\"},\"wordCount\":3379,\"image\":{\"@id\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/mental-models\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/cosmogony.ar\\\/wp-content\\\/uploads\\\/2020\\\/06\\\/Modelos-mentales.jpg\",\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/mental-models\\\/\",\"url\":\"https:\\\/\\\/cosmogony.ar\\\/en\\\/mental-models\\\/\",\"name\":\"Mental models - 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