--- title: "Meaning & Key Takeaway of: But 'the physical level of rigor' is…" description: "\"But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it H..." image: "https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg" --- # But 'the physical level of rigor' is higher on certainty… ![“But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition.” quote by Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg) [Download](https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg) [Open image](https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg) > “But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition.” [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Physical rigor, grounded in reproducible experiments, offers higher certainty than purely logical reasoning based on intuition. **In simple terms:** Experiments give more reliable certainty than intuition. Key Takeaway Prioritize empirical validation. Themes science philosophy methodology Mood analytical thoughtful Type explanatory philosophical When to use this quote - research labs - engineering design - policy making - education - clinical trials Key Concepts empiricism certainty logic Questions to Reflect On - How can we balance empirical and logical approaches? - When should intuition guide research? A Different Perspective Empirical methods can be costly and slow. ★ ★ ★ ★ ★ No ratings yet [Certainty](https://sms4smile.com/quotes/about/certainty/) [Experiments](https://sms4smile.com/quotes/about/experiments/) [Intuition](https://sms4smile.com/quotes/about/intuition/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Rigor](https://sms4smile.com/quotes/about/rigor/) [Science](https://sms4smile.com/quotes/about/science/) ## Related quotes > [But anything that can be called "rigor" is lost exactly where the things become interesting and non trivial.](https://sms4smile.com/quotes/mikhail-leonidovich-gromov/but-anything-that-can-be-called-rigor-is-lost-exactly-where-the/) [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) > [Parenting classes should be mandatory, whether you are adopting or not, and would include an evaluation of your current physical, mental and financial state…](https://sms4smile.com/quotes/dale-archer/parenting-classes-should-be-mandatory-whether-you-are-adopting-or-not/) [Dale Archer](https://sms4smile.com/quotes/author/dale-archer/) > [Thinking is like exercise, it requires consistency and rigor. 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She helps me cope with the everyday…](https://sms4smile.com/quotes/tim-duncan/i-have-the-loving-support-of-my-girlfriend-who-still-attends-wake/) [Tim Duncan](https://sms4smile.com/quotes/author/tim-duncan/) > [Jesuits encourage an intellectual rigor in a way that I like.](https://sms4smile.com/quotes/alexander-payne/jesuits-encourage-an-intellectual-rigor-in-a-way-that-i-like/) [Alexander Payne](https://sms4smile.com/quotes/author/alexander-payne/) > [Extremes, though contrary, have the like effects. Extreme heat kills, and so extreme cold: extreme love breeds satiety, and so extreme hatred; and too…](https://sms4smile.com/quotes/george-chapman/extremes-though-contrary-have-the-like-effects-extreme-heat-kills-and/) [George Chapman](https://sms4smile.com/quotes/author/george-chapman/) > [What gets projects done for me is not inspiration. 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It is, therefore, my first wish, to have my whole conduct distinguished by…](https://sms4smile.com/quotes/george-washington/lenity-will-operate-with-greater-force-in-some-instances-than-rigor/) [George Washington](https://sms4smile.com/quotes/author/george-washington/) > [The idea of freedom can never be disassociated from real Prussia. The real Prussian spirit means a synthesis between restraint and freedom, between voluntary…](https://sms4smile.com/quotes/henning-von-tresckow/the-idea-of-freedom-can-never-be-disassociated-from-real-prussia-the/) [Henning von Tresckow](https://sms4smile.com/quotes/author/henning-von-tresckow/) > [ Again, I hear almost everyday from atheists who write off religion as primitive, premodern nonsense. I summon Aquinas, Augustine, Paul \[of Tarsus\], Teresa of… ](https://sms4smile.com/quotes/robert-barron/again-i-hear-almost-everyday-from-atheists-who-write-off-religion-as/) [Robert Barron](https://sms4smile.com/quotes/author/robert-barron/) > [Like many others, I have deep misgivings about the state of education in the United States. Too many of our students fail to graduate…](https://sms4smile.com/quotes/bill-gates/like-many-others-i-have-deep-misgivings-about-the-state-of-education/) [Bill Gates](https://sms4smile.com/quotes/author/bill-gates/) ## More by Mikhail Leonidovich Gromov > [Understanding what and why did not work may be more instructive than celebrating our successes.](https://sms4smile.com/quotes/mikhail-leonidovich-gromov/understanding-what-and-why-did-not-work-may-be-more-instructive-than/) [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) > [A mathematician would hardly call a correspondence between the set of 64 triples of four units and a set of twenty other units, "universal",…](https://sms4smile.com/quotes/mikhail-leonidovich-gromov/a-mathematician-would-hardly-call-a-correspondence-between-the-set-of/) [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) > [But anything that can be called "rigor" is lost exactly where the things become interesting and non trivial.](https://sms4smile.com/quotes/mikhail-leonidovich-gromov/but-anything-that-can-be-called-rigor-is-lost-exactly-where-the/) [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) > [This common and unfortunate fact of the lack of adequate presentation of basic ideas and motivations of almost any mathematical theory is probably due…](https://sms4smile.com/quotes/mikhail-leonidovich-gromov/this-common-and-unfortunate-fact-of-the-lack-of-adequate-presentation/) [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) > [There is no significant difference between human activities and those by amoebas and even bacteria, well, on the GRAND SCALE.](https://sms4smile.com/quotes/mikhail-leonidovich-gromov/there-is-no-significant-difference-between-human-activities-and-those/) [Mikhail Leonidovich Gromov](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) [Explore all 6 Mikhail Leonidovich Gromov quotes ](https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/) ## More Certainty quotes > [A common fallacy in much of the adverse criticism to which science is subjected today is that it claims certainty, infallibility and complete emotional…](https://sms4smile.com/quotes/cyril-norman-hinshelwood/a-common-fallacy-in-much-of-the-adverse-criticism-to-which-science-is/) [Cyril Norman Hinshelwood](https://sms4smile.com/quotes/author/cyril-norman-hinshelwood/) > [Sometimes we have the absolute certainty there's something inside us that's so hideous and monstrous that if we ever search it out we won't…](https://sms4smile.com/quotes/hubert-selby-jr/sometimes-we-have-the-absolute-certainty-there-s-something-inside-us/) [Hubert Selby, Jr](https://sms4smile.com/quotes/author/hubert-selby-jr/) > [The past and the future become unimportant. 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An acceptable house, partner or…](https://sms4smile.com/quotes/dale-t-mortensen/as-the-future-is-never-known-with-certainty-the-evaluation-of-the/) [Dale T. Mortensen](https://sms4smile.com/quotes/author/dale-t-mortensen/) > [Finding someone that trusted my vision helped me find certainty in who I was.](https://sms4smile.com/quotes/syd/finding-someone-that-trusted-my-vision-helped-me-find-certainty-in/) [Syd](https://sms4smile.com/quotes/author/syd/) [Browse all 1,776 Certainty quotes ](https://sms4smile.com/quotes/about/certainty/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition.", "creator": { "@type": "Person", "name": "Mikhail Leonidovich Gromov" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/mikhail-leonidovich-gromov/but-the-physical-level-of-rigor-is-higher-on-certainty-than-the/", "about": { "@type": "Thing", "name": "Certainty" }, "@id": "https://sms4smile.com/quotes/mikhail-leonidovich-gromov/but-the-physical-level-of-rigor-is-higher-on-certainty-than-the/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg", "contentUrl": "https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg", "url": "https://sms4smile.com/quotes/i/563/mikhail-leonidovich-gromov-570_certainty_but-the-physical-level-of-rigor-is-highe_595465.jpg", "width": 1080, "height": 1080, "caption": "“But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible…” — Mikhail Leonidovich Gromov", "creditText": "SMS4Smile Quotes", "creator": { "@id": "https://sms4smile.com/quotes/#organization" } } }, { "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://sms4smile.com/" }, { "@type": "ListItem", "position": 2, "name": "Quotes", "item": "https://sms4smile.com/quotes/" }, { "@type": "ListItem", "position": 3, "name": "Mikhail Leonidovich Gromov", "item": "https://sms4smile.com/quotes/author/mikhail-leonidovich-gromov/" }, { "@type": "ListItem", "position": 4, "name": "But 'the physical level of rigor'...", "item": "https://sms4smile.com/quotes/mikhail-leonidovich-gromov/but-the-physical-level-of-rigor-is-higher-on-certainty-than-the/" } ], "@id": "https://sms4smile.com/quotes/mikhail-leonidovich-gromov/but-the-physical-level-of-rigor-is-higher-on-certainty-than-the/#breadcrumb" }, { "@type": "WebSite", "@id": "https://sms4smile.com/quotes/#website", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "publisher": { "@id": "https://sms4smile.com/quotes/#organization" } }, { "@type": "Organization", "@id": "https://sms4smile.com/quotes/#organization", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "logo": { "@type": "ImageObject", "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png", "width": 512, "height": 512 } } ] } ```