Euclidean geometry has been the foundation of mathematics for millennia. But the philosopher and mathematician Jules Henri Poincar\u00e9 shows that it is not an absolute truth, but a convenient convention. Conventionalism claims that different types of geometries can be valid depending on the context.<\/p>\n\n
For example, Euclidean geometry works well for measurements of the Earth’s surface, but non-Euclidean geometries, such as those developed by Lobachevsky and Riemann, are used in space. In Einstein’s theory of relativity, space and time are distorted, making Euclidean geometry inappropriate.<\/p>\n\n
Euclid’s geometry remains relevant today – for example, in the architecture of the Sagrada Familia in Barcelona, where geometric shapes play a key role. However, conventionalism teaches us that we can expand our perceptions by considering other possibilities.<\/p>\n\n
Next time you draw a triangle, think: what would it look like on the surface of a sphere or in the depths of space?<\/em><\/p>\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" Euclidean geometry has been the foundation of mathematics for millennia. But the philosopher and mathematician Jules Henri Poincar\u00e9 shows that […]<\/p>\n","protected":false},"author":3,"featured_media":2885,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[23],"tags":[],"class_list":["post-3506","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications"],"acf":[],"_links":{"self":[{"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/posts\/3506","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/comments?post=3506"}],"version-history":[{"count":0,"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/posts\/3506\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/media\/2885"}],"wp:attachment":[{"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/media?parent=3506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/categories?post=3506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/eduleadersbg.com\/en\/wp-json\/wp\/v2\/tags?post=3506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}