{"id":6426,"date":"2022-03-15T16:09:48","date_gmt":"2022-03-15T16:09:48","guid":{"rendered":"http:https:\/\/www.teachmint.com\/glossary\/?p=6426"},"modified":"2022-09-23T05:34:37","modified_gmt":"2022-09-23T05:34:37","slug":"axiom","status":"publish","type":"post","link":"https:\/\/www.teachmint.com\/glossary\/a\/axiom\/","title":{"rendered":"Axiom"},"content":{"rendered":"\n<p>An axiom is a statement that is considered to be true in order to serve as a premise or starting point for reasoning and arguments. The word axiom comes from the Ancient Greek word <em>axioma<\/em> meaning &#8216;that which is considered worthy or fit&#8217; or &#8216;that which presents itself to be evident&#8217;.<\/p>\n\n\n\n<p>The term has subtle differences in definition when it comes to different fields of study. In classic philosophy, an axiom is defined as a statement that is so obvious, evident or well established that it is accepted without question. As used in <a href=\"https:\/\/blog.teachmint.com\/modern-teaching-methods\/\">modern<\/a> logic, an axiom is a premise or starting point for reasoning.<\/p>\n\n\n\n<p>As used in mathematics, the term axiom is used in two related but distinguishable senses:&nbsp;<\/p>\n\n\n\n<ul><li>Logical axioms &#8211; These are generally statements that are considered to be true in the system of logic that the axioms define. They are usually represented in a symbolic form.<\/li><li>Non-logical Axioms &#8211; These are axioms that where there are substantial <a href=\"http:https:\/\/www.teachmint.com\/glossary\/b\/balanced-assessment\/\">assertions<\/a> regarding the elements within a domain of a certain mathematical theory\u00a0<\/li><\/ul>\n\n\n\n<p>In a sense, the terms axiom, assumption, and postulate can be used interchangeably. More often than not, a non-logical axiom is simply a formal logical expression that is used in deduction to construct a mathematical theory, which may or may not be self-evident in nature. When a system of knowledge is said to be axiomatized, what it means is that its claims can be derived from a small set of sentences, and there may be multiple ways to make a given mathematical domain axiomatized.<\/p>\n\n\n\n<p>Any axiom is a statement that is a starting point from which other statements are logically derived. Whether it is meaningful for an axiom to be true is a subject of debate within the philosophy of mathematics.<\/p>\n\n\n\n<p>Do you know what isn&#8217;t an axiomatic statement though? <a href=\"https:\/\/www.teachmint.com\">Teachmint<\/a> has a wide array of learning resources that is totally free! Click <a href=\"https:\/\/search.teachmint.com\/\">here<\/a> to access it right away!<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>An axiom is a statement that is considered to be true in order to serve as a premise or starting point for reasoning and arguments. The word axiom comes from the Ancient Greek word axioma meaning &#8216;that which is considered worthy or fit&#8217; or &#8216;that which presents itself to be evident&#8217;. The term has subtle&hellip;&nbsp;<a href=\"https:\/\/www.teachmint.com\/glossary\/a\/axiom\/\" class=\"\" rel=\"bookmark\">Read More &raquo;<span class=\"screen-reader-text\">Axiom<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","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":"","_themeisle_gutenberg_block_has_review":false,"_ti_tpc_template_sync":false,"_ti_tpc_template_id":"","footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Axiom - Teachmint Meaning and Definition of the Term<\/title>\n<meta name=\"description\" content=\"An axiom is a statement that is considered to be true in order to serve as a premise or starting point for reasoning and arguments......\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.teachmint.com\/glossary\/a\/axiom\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Axiom - 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