---
title: "Meaning & Key Takeaway of: Another characteristic of mathematical…"
description: "\"Another characteristic of mathematical thought is that it can have no success where it cannot generalize.\" — Charles Sanders Peirce"
image: "https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png"
---

#  Another characteristic of mathematical thought is that it…

![“Another characteristic of mathematical thought is that it can have no success where it cannot generalize.” quote by Charles Sanders Peirce](https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png)   [Download](https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png) [Open image](https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png)

> “Another characteristic of mathematical thought is that it can have no success where it cannot generalize.”

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

## About This Quote

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

Mathematical ideas succeed only when they can be generalized beyond specific cases.

**In simple terms:** Generalization is key to success.

Key Takeaway

Seek broad applicability in thinking.

Themes

logic mathematics generalization innovation

Mood

analytical inquisitive

Type

philosophical educational

When to use this quote

- research
- education
- engineering
- policy making

Key Concepts

Abstraction problem solving

Questions to Reflect On

- How do you test if a concept truly generalizes?
- When is specialization preferable?

A Different Perspective

Overgeneralization can lead to false conclusions.

★ ★ ★ ★ ★   No ratings yet

[Inspirational](https://sms4smile.com/quotes/about/inspirational/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Science](https://sms4smile.com/quotes/about/science/) [Success](https://sms4smile.com/quotes/about/success/) [Thinking](https://sms4smile.com/quotes/about/thinking/)

## Related quotes

> [Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next…](https://sms4smile.com/quotes/david-hilbert/who-of-us-would-not-be-glad-to-lift-the-veil-behind-which-the-future/)

[David Hilbert](https://sms4smile.com/quotes/author/david-hilbert/)

> [“As always when he worked with this much concentration he began to feel a sense of introverting pressure. There was no way out once…](https://sms4smile.com/quotes/don-delillo/as-always-when-he-worked-with-this-much-concentration-he-began-to/)

[Don DeLillo](https://sms4smile.com/quotes/author/don-delillo/)

> [“Our generation is witness to a development of physical knowledge such as has not been seen since the days of Kepler, Galileo and Newton,…](https://sms4smile.com/quotes/hermann-weyl/our-generation-is-witness-to-a-development-of-physical-knowledge-such/)

[Hermann Weyl](https://sms4smile.com/quotes/author/hermann-weyl/)

> [To tell you the truth, I never thought of myself as much of a success.](https://sms4smile.com/quotes/stan-lee/to-tell-you-the-truth-i-never-thought-of-myself-as-much-of-a-success/)

[Stan Lee](https://sms4smile.com/quotes/author/stan-lee/)

> [Success brings with it pressure to conform. I always thought that success would lead to freedom, but the opposite is true: more people get…](https://sms4smile.com/quotes/nick-park/success-brings-with-it-pressure-to-conform-i-always-thought-that/)

[Nick Park](https://sms4smile.com/quotes/author/nick-park/)

> [I thought that once you get success, your job was the 'Robin Hood' situation.](https://sms4smile.com/quotes/sisqo/i-thought-that-once-you-get-success-your-job-was-the-robin-hood/)

[Sisqo](https://sms4smile.com/quotes/author/sisqo/)

> [I always thought that success would exist in a vacuum for me but it did start to affect my family. And my closest friends…](https://sms4smile.com/quotes/ethel-cain/i-always-thought-that-success-would-exist-in-a-vacuum-for-me-but-it/)

[Ethel Cain](https://sms4smile.com/quotes/author/ethel-cain/)

> [I was a gym rat and I always thought that was a part of my success.](https://sms4smile.com/quotes/andre-reed/i-was-a-gym-rat-and-i-always-thought-that-was-a-part-of-my-success/)

[Andre Reed](https://sms4smile.com/quotes/author/andre-reed/)

> [When I was younger I thought success was something different. I thought, " When I grow up, I want to be famous. I want…](https://sms4smile.com/quotes/ellen-degeneres/when-i-was-younger-i-thought-success-was-something-different-i/)

[Ellen DeGeneres](https://sms4smile.com/quotes/author/ellen-degeneres/)

> [I never thought much about success early on. I only thought about being a comedian - or just being in show business, is really…](https://sms4smile.com/quotes/steve-martin/i-never-thought-much-about-success-early-on-i-only-thought-about/)

[Steve Martin](https://sms4smile.com/quotes/author/steve-martin/)

> [I never quite thought of success as a cancer,but it could be.](https://sms4smile.com/quotes/senoraroy/i-never-quite-thought-of-success-as-a-cancer-but-it-could-be/)

Senoraroy

> [I thought that when you have more success that you'd feel more buoyed or feel more confident. But in fact my brain has the…](https://sms4smile.com/quotes/maria-bamford/i-thought-that-when-you-have-more-success-that-you-d-feel-more-buoyed/)

[Maria Bamford](https://sms4smile.com/quotes/author/maria-bamford/)

> [In the '80s, I thought I'd be a success as a woman if I were the president of a billion dollar company, had a…](https://sms4smile.com/quotes/cathy-guisewite/in-the-80s-i-thought-i-d-be-a-success-as-a-woman-if-i-were-the/)

[Cathy Guisewite](https://sms4smile.com/quotes/author/cathy-guisewite/)

> [Yes I have made a lot of money and I have a lot of respect, my films have done well, and I know there…](https://sms4smile.com/quotes/shahrukh-khan/yes-i-have-made-a-lot-of-money-and-i-have-a-lot-of-respect-my-films/)

[Shahrukh Khan](https://sms4smile.com/quotes/author/shahrukh-khan/)

> [They thought I was a success as soon as I started paying the bills.](https://sms4smile.com/quotes/mahalia-jackson/they-thought-i-was-a-success-as-soon-as-i-started-paying-the-bills/)

[Mahalia Jackson](https://sms4smile.com/quotes/author/mahalia-jackson/)

## More by Charles Sanders Peirce

> [If we are to define science, ... it does not consist so much in knowing, nor even in "organized knowledge," as it does in…](https://sms4smile.com/quotes/charles-sanders-peirce/if-we-are-to-define-science-it-does-not-consist-so-much-in-knowing/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [It will sometimes strike a scientific man that the philosophers have been less intent on finding out what the facts are, than on inquiring…](https://sms4smile.com/quotes/charles-sanders-peirce/it-will-sometimes-strike-a-scientific-man-that-the-philosophers-have/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [One will meet, for example, the virtual assumption that what is relative to thought cannot be real. But why not, exactly? Red is relative…](https://sms4smile.com/quotes/charles-sanders-peirce/one-will-meet-for-example-the-virtual-assumption-that-what-is/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [Generality is, indeed, an indispensable ingredient of reality; for mere individual existence or actuality without any regularity whatever is a nullity. Chaos is pure…](https://sms4smile.com/quotes/charles-sanders-peirce/generality-is-indeed-an-indispensable-ingredient-of-reality-for-mere/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [... and it is probably that there is some secret here which remains to be discovered.](https://sms4smile.com/quotes/charles-sanders-peirce/and-it-is-probably-that-there-is-some-secret-here-which-remains-to-be/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [Our whole past experience is continually in our consciousness, though most of it sunk to a great depth of dimness. I think of consciousness…](https://sms4smile.com/quotes/charles-sanders-peirce/our-whole-past-experience-is-continually-in-our-consciousness-though/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [Theoretically, I grant you, there is no possibility of error in necessary reasoning. But to speak thus "theoretically," is to uselanguage in a Pickwickian…](https://sms4smile.com/quotes/charles-sanders-peirce/theoretically-i-grant-you-there-is-no-possibility-of-error-in/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [Looking out of my window this lovely spring morning I see an azalea in full bloom. No, no! I do not see that; though…](https://sms4smile.com/quotes/charles-sanders-peirce/looking-out-of-my-window-this-lovely-spring-morning-i-see-an-azalea/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [Fate then is that necessity by which a certain result will surely be brought to pass according to the natural course of events however…](https://sms4smile.com/quotes/charles-sanders-peirce/fate-then-is-that-necessity-by-which-a-certain-result-will-surely-be/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [If man were immortal he could be perfectly sure of seeing the day when everything in which he had trusted should betray his trust,…](https://sms4smile.com/quotes/charles-sanders-peirce/if-man-were-immortal-he-could-be-perfectly-sure-of-seeing-the-day/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [Some think to avoid the influence of metaphysical errors, by paying no attention to metaphysics; but experience shows that these men beyond all others…](https://sms4smile.com/quotes/charles-sanders-peirce/some-think-to-avoid-the-influence-of-metaphysical-errors-by-paying-no/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [The percept is the reality. It is not in propositional form. But the most immediate judgment concerning it is abstract. It is therefore essentially…](https://sms4smile.com/quotes/charles-sanders-peirce/the-percept-is-the-reality-it-is-not-in-propositional-form-but-the/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [There never was a sounder logical maxim of scientific procedure than Ockham's razor: Entia non sunt multiplicanda praeter necessitatem. That is to say; before…](https://sms4smile.com/quotes/charles-sanders-peirce/there-never-was-a-sounder-logical-maxim-of-scientific-procedure-than/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [And what, then, is belief? It is the demi-cadence which closes a musical phrase in the symphony of our intellectual life.](https://sms4smile.com/quotes/charles-sanders-peirce/and-what-then-is-belief-it-is-the-demi-cadence-which-closes-a-musical/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

> [A hypothesis is something which looks as if it might be true and were true, and which is capable of verification or refutation by…](https://sms4smile.com/quotes/charles-sanders-peirce/a-hypothesis-is-something-which-looks-as-if-it-might-be-true-and-were/)

[Charles Sanders Peirce](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

[Explore all 103 Charles Sanders Peirce quotes ](https://sms4smile.com/quotes/author/charles-sanders-peirce/)

## More Characteristics quotes

> [One of the key characteristics of the comic book medium is that it is not brought to life by just one voice.](https://sms4smile.com/quotes/jim-lee/one-of-the-key-characteristics-of-the-comic-book-medium-is-that-it-is/)

[Jim Lee](https://sms4smile.com/quotes/author/jim-lee/)

> [“What makes a good leader? I ask myself this every day, and then as I begin to list off characteristics I realize I’m describing…](https://sms4smile.com/quotes/jarod-kintz/what-makes-a-good-leader-i-ask-myself-this-every-day-and-then-as-i/)

[Jarod Kintz](https://sms4smile.com/quotes/author/jarod-kintz/)

> [Those who know New York City primarily through tourism or mass culture may think of us natives as possessing certain shared characteristics, not all…](https://sms4smile.com/quotes/jonathan-dee/those-who-know-new-york-city-primarily-through-tourism-or-mass/)

[Jonathan Dee](https://sms4smile.com/quotes/author/jonathan-dee/)

> [Sometimes, Ms. Lane," he said, "one must break with one's past to embrace one's future. It is never an easy thing to do. It…](https://sms4smile.com/quotes/karen-marie-moning/sometimes-ms-lane-he-said-one-must-break-with-one-s-past-to-embrace/)

[Karen Marie Moning](https://sms4smile.com/quotes/author/karen-marie-moning/)

> [Just because someone thinks they remember something in detail, with confidence and with emotion, does not mean that it actually happened, .. False memories…](https://sms4smile.com/quotes/elizabeth-loftus/just-because-someone-thinks-they-remember-something-in-detail-with/)

[Elizabeth Loftus](https://sms4smile.com/quotes/author/elizabeth-loftus/)

> [Consequently, citizen legislators, rotating back to their communities after a short period of public service—considered an indispensable and routine characteristic and design of representative…](https://sms4smile.com/quotes/anonymous/consequently-citizen-legislators-rotating-back-to-their-communities/)

[Anonymous](https://sms4smile.com/quotes/author/anonymous/)

> [A second characteristic of the process which for me is the good life, is that it involves an increasingly tendency to live fully in…](https://sms4smile.com/quotes/carl-rogers/a-second-characteristic-of-the-process-which-for-me-is-the-good-life/)

[Carl Rogers](https://sms4smile.com/quotes/author/carl-rogers/)

> [Philanthropy is one of the most hopeful characteristics of our time.](https://sms4smile.com/quotes/mary-livermore/philanthropy-is-one-of-the-most-hopeful-characteristics-of-our-time/)

Mary Livermore

> [God has given this way of life to Israel: to abstain from everything which is contrary to nature, that is to say, anger, fits…](https://sms4smile.com/quotes/poemen/god-has-given-this-way-of-life-to-israel-to-abstain-from-everything/)

[Poemen](https://sms4smile.com/quotes/author/poemen/)

> [The most significant moment will be when we stop referring to the hiring of qualified women (and racial, ethnic and religious minorities) as significant.…](https://sms4smile.com/quotes/amy-trask/the-most-significant-moment-will-be-when-we-stop-referring-to-the/)

Amy Trask

> [Iron and coal dominated everywhere, from grey to black: the black boots, the black stove-pipe hat, the black coach or carriage, the black iron…](https://sms4smile.com/quotes/lewis-mumford/iron-and-coal-dominated-everywhere-from-grey-to-black-the-black-boots/)

[Lewis Mumford](https://sms4smile.com/quotes/author/lewis-mumford/)

> [The mass of men lead lives of quiet desperation. What is called resignation is confirmed desperation. From the desperate city you go into the…](https://sms4smile.com/quotes/henry-david-thoreau/the-mass-of-men-lead-lives-of-quiet-desperation-what-is-called/)

[Henry David Thoreau](https://sms4smile.com/quotes/author/henry-david-thoreau/)

> [I think it would be just to say the most essential characteristic of mind is memory, using this word in its broadest sense to…](https://sms4smile.com/quotes/bertrand-russell/i-think-it-would-be-just-to-say-the-most-essential-characteristic-of/)

[Bertrand Russell](https://sms4smile.com/quotes/author/bertrand-russell/)

> [ \[Joseph\] Stalin closes the exposition of these \[Leon Trotsky\] ideas with the words, "Such are in general the characteristic features of \[Vladimir\] Lenin's conception… ](https://sms4smile.com/quotes/leon-trotsky/joseph-stalin-closes-the-exposition-of-these-leon-trotsky-ideas-with/)

[Leon Trotsky](https://sms4smile.com/quotes/author/leon-trotsky/)

> [It is true that 'I seem to see a table' does not entail 'I see a table'; but 'I seem to feel a pain'…](https://sms4smile.com/quotes/galen-strawson/it-is-true-that-i-seem-to-see-a-table-does-not-entail-i-see-a-table/)

[Galen Strawson](https://sms4smile.com/quotes/author/galen-strawson/)

Browse all 1,325 Characteristics quotes

```json
{
    "@context": "https://schema.org",
    "@graph": [
        {
            "@type": "Quotation",
            "text": "Another characteristic of mathematical thought is that it can have no success where it cannot generalize.",
            "creator": {
                "@type": "Person",
                "name": "Charles Sanders Peirce"
            },
            "isPartOf": {
                "@id": "https://sms4smile.com/quotes/#website"
            },
            "url": "https://sms4smile.com/quotes/charles-sanders-peirce/another-characteristic-of-mathematical-thought-is-that-it-can-have-no/",
            "about": {
                "@type": "Thing",
                "name": "Characteristics"
            },
            "@id": "https://sms4smile.com/quotes/charles-sanders-peirce/another-characteristic-of-mathematical-thought-is-that-it-can-have-no/#quotation",
            "image": {
                "@type": "ImageObject",
                "@id": "https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png",
                "contentUrl": "https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png",
                "url": "https://sms4smile.com/quotes/i/fe0/charles-sanders-peirce-5105_characteristics_another-characteristic-of-mathematical-t_808917.png",
                "width": 1080,
                "height": 1080,
                "caption": "“Another characteristic of mathematical thought is that it can have no success where it cannot generalize.” — Charles Sanders Peirce",
                "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": "Charles Sanders Peirce",
                    "item": "https://sms4smile.com/quotes/author/charles-sanders-peirce/"
                },
                {
                    "@type": "ListItem",
                    "position": 4,
                    "name": "Another characteristic of mathematical thought is...",
                    "item": "https://sms4smile.com/quotes/charles-sanders-peirce/another-characteristic-of-mathematical-thought-is-that-it-can-have-no/"
                }
            ],
            "@id": "https://sms4smile.com/quotes/charles-sanders-peirce/another-characteristic-of-mathematical-thought-is-that-it-can-have-no/#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
            }
        }
    ]
}
```
