---
title: "Meaning & Key Takeaway of: Irrefragability, thy name is mathematics."
description: "\"Irrefragability, thy name is mathematics.\" — Willard Van Orman Quine"
image: "https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg"
---

#  Irrefragability, thy name is mathematics.

![“Irrefragability, thy name is mathematics.” quote by Willard Van Orman Quine](https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg)   [Download](https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg) [Open image](https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg)

> “Irrefragability, thy name is mathematics.”

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

## About This Quote

This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.

Mathematics is presented as the ultimate example of something that cannot be disproved.

**In simple terms:** Math is seen as unassailable.

Key Takeaway

Recognize the certainty math can provide.

Themes

logic mathematics philosophy

Mood

analytical reflective

Type

philosophical academic

When to use this quote

- academic research
- teaching
- problem solving
- decision making

Key Concepts

certainty foundations proof

Questions to Reflect On

- How does this view affect trust in mathematical models?
- When might certainty be misleading?

A Different Perspective

Mathematical certainty can overlook practical uncertainties.

★ ★ ★ ★ ★   No ratings yet

[Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Names](https://sms4smile.com/quotes/about/names/) [Thy Mathematics](https://sms4smile.com/quotes/about/thy-mathematics-3457095/)

## Related quotes

> [It is indeed a surprising and fortunate fact that nature can be expressed by relatively low-order mathematical functions.](https://sms4smile.com/quotes/rudolf-carnap/it-is-indeed-a-surprising-and-fortunate-fact-that-nature-can-be/)

[Rudolf Carnap](https://sms4smile.com/quotes/author/rudolf-carnap/)

> [“When one day Lagrange took out of his pocket a paper which he read at the Académe, and which contained a demonstration of the…](https://sms4smile.com/quotes/jean-baptiste-biot/when-one-day-lagrange-took-out-of-his-pocket-a-paper-which-he-read-at/)

[Jean-Baptiste Biot](https://sms4smile.com/quotes/author/jean-baptiste-biot/)

> [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [“One is the notion that knowledge is worth acquiring, all knowledge, and that a solid grounding in mathematics provides one with the essential language…](https://sms4smile.com/quotes/william-h-patterson-jr/one-is-the-notion-that-knowledge-is-worth-acquiring-all-knowledge-and/)

[William H. Patterson Jr](https://sms4smile.com/quotes/author/william-h-patterson-jr/)

> [“How in the world did I ever find you?” Mackenzie Winters “Math class.” Brandon Knight”](https://sms4smile.com/quotes/bella-jeanisse/how-in-the-world-did-i-ever-find-you-mackenzie-winters-math-class/)

[Bella Jeanisse](https://sms4smile.com/quotes/author/bella-jeanisse/)

> [In school math and science were my favorite subjects, but I probably in my true self I'm more of a people person. At the…](https://sms4smile.com/quotes/emily-deschanel/in-school-math-and-science-were-my-favorite-subjects-but-i-probably/)

[Emily Deschanel](https://sms4smile.com/quotes/author/emily-deschanel/)

> [Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…](https://sms4smile.com/quotes/jean-le-rond-d-alembert/geometry-which-should-only-obey-physics-when-united-with-it-sometimes/)

[Jean le Rond d'Alembert](https://sms4smile.com/quotes/author/jean-le-rond-d-alembert/)

> [For a physicist mathematics is not just a tool by means of which phenomena can be calculated, it is the main source of concepts…](https://sms4smile.com/quotes/freeman-dyson/for-a-physicist-mathematics-is-not-just-a-tool-by-means-of-which/)

[Freeman Dyson](https://sms4smile.com/quotes/author/freeman-dyson/)

> [“I had a chat with May and I had a sweet talk with April but the lovely conversation that left me to ponder was…](https://sms4smile.com/quotes/ernest-agyemang-yeboah/i-had-a-chat-with-may-and-i-had-a-sweet-talk-with-april-but-the/)

[Ernest Agyemang Yeboah](https://sms4smile.com/quotes/author/ernest-agyemang-yeboah/)

> [There's no reason for men to be better at maths than women - it's just about our perception.](https://sms4smile.com/quotes/rachel-riley/there-s-no-reason-for-men-to-be-better-at-maths-than-women-it-s-just/)

[Rachel Riley](https://sms4smile.com/quotes/author/rachel-riley/)

> [If enough money is involved and enough people believe that two plus two equals five the media will report the story with a straight…](https://sms4smile.com/quotes/susan-jacoby/if-enough-money-is-involved-and-enough-people-believe-that-two-plus/)

[Susan Jacoby](https://sms4smile.com/quotes/author/susan-jacoby/)

> [Rule number something or other -- never tell anybody anything unless you're going to get something better in return.](https://sms4smile.com/quotes/sara-paretsky/rule-number-something-or-other-never-tell-anybody-anything-unless-you/)

[Sara Paretsky](https://sms4smile.com/quotes/author/sara-paretsky/)

> [For the execution of the voyage to the Indies, I did not make use of intelligence, mathematics or maps.](https://sms4smile.com/quotes/christopher-columbus/for-the-execution-of-the-voyage-to-the-indies-i-did-not-make-use-of/)

[Christopher Columbus](https://sms4smile.com/quotes/author/christopher-columbus/)

> [“π is a mathematician’s dessert”](https://sms4smile.com/quotes/neve-maslakovic/is-a-mathematician-s-dessert/)

[Neve Maslakovic](https://sms4smile.com/quotes/author/neve-maslakovic/)

> [“We are not told, or not told early enough so that it sinks in, that mathematics is a language, and that we can learn…](https://sms4smile.com/quotes/mortimer-j-adler/we-are-not-told-or-not-told-early-enough-so-that-it-sinks-in-that/)

[Mortimer J. Adler](https://sms4smile.com/quotes/author/mortimer-j-adler/)

## More by Willard Van Orman Quine

> [It is one of the consolations of philosophy that the benefit of showing how to dispense with a concept does not hinge on dispensing…](https://sms4smile.com/quotes/willard-van-orman-quine/it-is-one-of-the-consolations-of-philosophy-that-the-benefit-of/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [Theory may be deliberate, as in a chapter on chemistry, or it may be second nature, as in the immemorial doctrine of ordinary enduring…](https://sms4smile.com/quotes/willard-van-orman-quine/theory-may-be-deliberate-as-in-a-chapter-on-chemistry-or-it-may-be/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [The line that I am urging as today's conventional wisdom is not a denial of consciousness. It is often called, with more reason, arepudiation…](https://sms4smile.com/quotes/willard-van-orman-quine/the-line-that-i-am-urging-as-today-s-conventional-wisdom-is-not-a/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [Our talk of external things, our very notion of things, is just a conceptual apparatus that helps us to foresee and control the triggerings…](https://sms4smile.com/quotes/willard-van-orman-quine/our-talk-of-external-things-our-very-notion-of-things-is-just-a/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [The mastery of one's phonemes may be compared to the violinist's mastery of fingering. The violin string lends itself to a continuous gradation of…](https://sms4smile.com/quotes/willard-van-orman-quine/the-mastery-of-one-s-phonemes-may-be-compared-to-the-violinist-s/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [“Believing is a disposition. We could tire ourselves out thinking, if we put our minds to it, but believing takes no toll.”](https://sms4smile.com/quotes/willard-van-orman-quine/believing-is-a-disposition-we-could-tire-ourselves-out-thinking-if-we/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [The strategy of semantic ascent is that it carries the discussion into a domain where both parties are better agreed on the objects (viz.,…](https://sms4smile.com/quotes/willard-van-orman-quine/the-strategy-of-semantic-ascent-is-that-it-carries-the-discussion/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [Scientific method is the way to truth, but it affords, even in principle, no unique definition of truth. Any so-called pragmatic definition of truth…](https://sms4smile.com/quotes/willard-van-orman-quine/scientific-method-is-the-way-to-truth-but-it-affords-even-in/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [ Some have said that the thesis \[of indeterminacy\] is a consequence of my behaviorism. Some have said that it is a reductio ad absurdum… ](https://sms4smile.com/quotes/willard-van-orman-quine/some-have-said-that-the-thesis-of-indeterminacy-is-a-consequence-of/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [Some may find comfort in reflecting that the distinction between an eliminative and an explicative physicalism is unreal.](https://sms4smile.com/quotes/willard-van-orman-quine/some-may-find-comfort-in-reflecting-that-the-distinction-between-an/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [We must not leap to the fatalistic conclusion that we are stuck with the conceptual scheme that we grew up in. We can change…](https://sms4smile.com/quotes/willard-van-orman-quine/we-must-not-leap-to-the-fatalistic-conclusion-that-we-are-stuck-with/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [The word 'definition' has come to have a dangerously reassuring sound, owing no doubt to its frequent occurrence in logical and mathematical writings.](https://sms4smile.com/quotes/willard-van-orman-quine/the-word-definition-has-come-to-have-a-dangerously-reassuring-sound/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [Logic chases truth up the tree of grammar.](https://sms4smile.com/quotes/willard-van-orman-quine/logic-chases-truth-up-the-tree-of-grammar/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [Science is not a substitute for common sense, but an extension of it.](https://sms4smile.com/quotes/willard-van-orman-quine/science-is-not-a-substitute-for-common-sense-but-an-extension-of-it/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

> [The variables of quantification, 'something,' 'nothing,' 'everything,' range over our whole ontology, whatever it may be; and we are convicted of a particular ontological…](https://sms4smile.com/quotes/willard-van-orman-quine/the-variables-of-quantification-something-nothing-everything-range/)

[Willard Van Orman Quine](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

[Explore all 67 Willard Van Orman Quine quotes ](https://sms4smile.com/quotes/author/willard-van-orman-quine/)

## More Mathematics quotes

> [It is indeed a surprising and fortunate fact that nature can be expressed by relatively low-order mathematical functions.](https://sms4smile.com/quotes/rudolf-carnap/it-is-indeed-a-surprising-and-fortunate-fact-that-nature-can-be/)

[Rudolf Carnap](https://sms4smile.com/quotes/author/rudolf-carnap/)

> [“π is a mathematician’s dessert”](https://sms4smile.com/quotes/neve-maslakovic/is-a-mathematician-s-dessert/)

[Neve Maslakovic](https://sms4smile.com/quotes/author/neve-maslakovic/)

> [For the execution of the voyage to the Indies, I did not make use of intelligence, mathematics or maps.](https://sms4smile.com/quotes/christopher-columbus/for-the-execution-of-the-voyage-to-the-indies-i-did-not-make-use-of/)

[Christopher Columbus](https://sms4smile.com/quotes/author/christopher-columbus/)

> [Rule number something or other -- never tell anybody anything unless you're going to get something better in return.](https://sms4smile.com/quotes/sara-paretsky/rule-number-something-or-other-never-tell-anybody-anything-unless-you/)

[Sara Paretsky](https://sms4smile.com/quotes/author/sara-paretsky/)

> [If enough money is involved and enough people believe that two plus two equals five the media will report the story with a straight…](https://sms4smile.com/quotes/susan-jacoby/if-enough-money-is-involved-and-enough-people-believe-that-two-plus/)

[Susan Jacoby](https://sms4smile.com/quotes/author/susan-jacoby/)

> [There's no reason for men to be better at maths than women - it's just about our perception.](https://sms4smile.com/quotes/rachel-riley/there-s-no-reason-for-men-to-be-better-at-maths-than-women-it-s-just/)

[Rachel Riley](https://sms4smile.com/quotes/author/rachel-riley/)

> [“I had a chat with May and I had a sweet talk with April but the lovely conversation that left me to ponder was…](https://sms4smile.com/quotes/ernest-agyemang-yeboah/i-had-a-chat-with-may-and-i-had-a-sweet-talk-with-april-but-the/)

[Ernest Agyemang Yeboah](https://sms4smile.com/quotes/author/ernest-agyemang-yeboah/)

> [For a physicist mathematics is not just a tool by means of which phenomena can be calculated, it is the main source of concepts…](https://sms4smile.com/quotes/freeman-dyson/for-a-physicist-mathematics-is-not-just-a-tool-by-means-of-which/)

[Freeman Dyson](https://sms4smile.com/quotes/author/freeman-dyson/)

> [Geometry, which should only obey Physics, when united with it sometimes commands it. If it happens that the question which we wish to examine…](https://sms4smile.com/quotes/jean-le-rond-d-alembert/geometry-which-should-only-obey-physics-when-united-with-it-sometimes/)

[Jean le Rond d'Alembert](https://sms4smile.com/quotes/author/jean-le-rond-d-alembert/)

> [In school math and science were my favorite subjects, but I probably in my true self I'm more of a people person. At the…](https://sms4smile.com/quotes/emily-deschanel/in-school-math-and-science-were-my-favorite-subjects-but-i-probably/)

[Emily Deschanel](https://sms4smile.com/quotes/author/emily-deschanel/)

> [“How in the world did I ever find you?” Mackenzie Winters “Math class.” Brandon Knight”](https://sms4smile.com/quotes/bella-jeanisse/how-in-the-world-did-i-ever-find-you-mackenzie-winters-math-class/)

[Bella Jeanisse](https://sms4smile.com/quotes/author/bella-jeanisse/)

> [“One is the notion that knowledge is worth acquiring, all knowledge, and that a solid grounding in mathematics provides one with the essential language…](https://sms4smile.com/quotes/william-h-patterson-jr/one-is-the-notion-that-knowledge-is-worth-acquiring-all-knowledge-and/)

[William H. Patterson Jr](https://sms4smile.com/quotes/author/william-h-patterson-jr/)

> [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by/)

[Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/)

> [“When one day Lagrange took out of his pocket a paper which he read at the Académe, and which contained a demonstration of the…](https://sms4smile.com/quotes/jean-baptiste-biot/when-one-day-lagrange-took-out-of-his-pocket-a-paper-which-he-read-at/)

[Jean-Baptiste Biot](https://sms4smile.com/quotes/author/jean-baptiste-biot/)

> [“We are not told, or not told early enough so that it sinks in, that mathematics is a language, and that we can learn…](https://sms4smile.com/quotes/mortimer-j-adler/we-are-not-told-or-not-told-early-enough-so-that-it-sinks-in-that/)

[Mortimer J. Adler](https://sms4smile.com/quotes/author/mortimer-j-adler/)

[Browse all 5,382 Mathematics quotes ](https://sms4smile.com/quotes/about/mathematics/)

```json
{
    "@context": "https://schema.org",
    "@graph": [
        {
            "@type": "Quotation",
            "text": "Irrefragability, thy name is mathematics.",
            "creator": {
                "@type": "Person",
                "name": "Willard Van Orman Quine"
            },
            "isPartOf": {
                "@id": "https://sms4smile.com/quotes/#website"
            },
            "url": "https://sms4smile.com/quotes/willard-van-orman-quine/irrefragability-thy-name-is-mathematics/",
            "about": {
                "@type": "Thing",
                "name": "Mathematics"
            },
            "@id": "https://sms4smile.com/quotes/willard-van-orman-quine/irrefragability-thy-name-is-mathematics/#quotation",
            "image": {
                "@type": "ImageObject",
                "@id": "https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg",
                "contentUrl": "https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg",
                "url": "https://sms4smile.com/quotes/i/402/willard-van-orman-quine-10137_mathematics_irrefragability-thy-name-is-mathematics_1179925.jpg",
                "width": 1080,
                "height": 1080,
                "caption": "“Irrefragability, thy name is mathematics.” — Willard Van Orman Quine",
                "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": "Willard Van Orman Quine",
                    "item": "https://sms4smile.com/quotes/author/willard-van-orman-quine/"
                },
                {
                    "@type": "ListItem",
                    "position": 4,
                    "name": "Irrefragability, thy name is mathematics.",
                    "item": "https://sms4smile.com/quotes/willard-van-orman-quine/irrefragability-thy-name-is-mathematics/"
                }
            ],
            "@id": "https://sms4smile.com/quotes/willard-van-orman-quine/irrefragability-thy-name-is-mathematics/#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
            }
        }
    ]
}
```
