---
title: "3 Arithmetic Quotes By Gottlob Frege"
description: "3 Arithmetic quotes by Gottlob Frege. Plus more from Gottlob Frege and more Arithmetic sayings from other authors."
image: "https://sms4smile.com/quotes/i/8f8/gottlob-frege-32463_arithmetic_arithmetic-has-began-to-totter-46926_46926.jpg"
---

> [Arithmetic has began to totter.](https://sms4smile.com/quotes/gottlob-frege/arithmetic-has-began-to-totter/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

[Image](https://sms4smile.com/quotes/i/8f8/gottlob-frege-32463_arithmetic_arithmetic-has-began-to-totter-46926_46926.jpg)

> [I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the…](https://sms4smile.com/quotes/gottlob-frege/i-compare-arithmetic-with-a-tree-that-unfolds-upwards-in-a-multitude/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

[Image](https://sms4smile.com/quotes/i/9a6/gottlob-frege-32463_arithmetic_i-compare-arithmetic-with-a-tree-that-un_2476756.jpg)

> [Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis…](https://sms4smile.com/quotes/gottlob-frege/your-discovery-of-the-contradiction-caused-me-the-greatest-surprise/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

[Image](https://sms4smile.com/quotes/i/7f1/gottlob-frege-32463_arithmetic_your-discovery-of-the-contradiction-caus_2942533.jpg)

## Other authors on Arithmetic

- [ ![](https://sms4smile.com/quotes/wp-content/uploads/sms4s/authors/processed/b005/author-bertrand-russell-17477.jpg) Bertrand Russell 7 quotes ](https://sms4smile.com/quotes/about/arithmetic/bertrand-russell/)

## More by Gottlob Frege

> [Arithmetic has began to totter.](https://sms4smile.com/quotes/gottlob-frege/arithmetic-has-began-to-totter/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> ['Facts, facts, facts,' cries the scientist if he wants to emphasize the necessity of a firm foundation for science. What is a fact? A…](https://sms4smile.com/quotes/gottlob-frege/facts-facts-facts-cries-the-scientist-if-he-wants-to-emphasize-the/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [What are numbers? What is the nature of arithmetical truth?](https://sms4smile.com/quotes/gottlob-frege/what-are-numbers-what-is-the-nature-of-arithmetical-truth/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [Having visual impressions is, of course, necessary for seeing things, but it is not sufficient. What must be added is not anything sensible. And…](https://sms4smile.com/quotes/gottlob-frege/having-visual-impressions-is-of-course-necessary-for-seeing-things/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [...one can hardly deny that mankind has a common store of thoughts which is transmitted from one generation to another.](https://sms4smile.com/quotes/gottlob-frege/one-can-hardly-deny-that-mankind-has-a-common-store-of-thoughts-which/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [It is possible, of course, to operate with figures mechanically, just as it is possible to speak like a parrot: but that hardly deserves…](https://sms4smile.com/quotes/gottlob-frege/it-is-possible-of-course-to-operate-with-figures-mechanically-just-as/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [The aim of scientific work is truth. While we internally recognise something as true, we judge, and while we utter judgements, we assert.](https://sms4smile.com/quotes/gottlob-frege/the-aim-of-scientific-work-is-truth-while-we-internally-recognise/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [It really is worth the trouble to invent a new symbol if we can thus remove not a few logical difficulties and ensure the…](https://sms4smile.com/quotes/gottlob-frege/it-really-is-worth-the-trouble-to-invent-a-new-symbol-if-we-can-thus/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [Every good mathematician is at least half a philosopher, and every good philosopher is at least half a mathematician.](https://sms4smile.com/quotes/gottlob-frege/every-good-mathematician-is-at-least-half-a-philosopher-and-every/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.](https://sms4smile.com/quotes/gottlob-frege/i-compare-arithmetic-with-a-tree-that-unfolds-upwards-in-a-multitude/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [The thought: A logical inquiry](https://sms4smile.com/quotes/gottlob-frege/the-thought-a-logical-inquiry/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was…](https://sms4smile.com/quotes/gottlob-frege/a-scientist-can-hardly-meet-with-anything-more-undesirable-than-to/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [There is more danger of numerical sequences continued indefinitely than of trees growing up to heaven. Each will some time reach its greatest height.](https://sms4smile.com/quotes/gottlob-frege/there-is-more-danger-of-numerical-sequences-continued-indefinitely/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

> [Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which…](https://sms4smile.com/quotes/gottlob-frege/your-discovery-of-the-contradiction-caused-me-the-greatest-surprise/)

[Gottlob Frege](https://sms4smile.com/quotes/author/gottlob-frege/)

```json
{
    "@context": "https://schema.org",
    "@graph": [
        {
            "@type": "ItemList",
            "@id": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/#itemlist",
            "name": "3 Arithmetic Quotes By Gottlob Frege",
            "numberOfItems": 3,
            "itemListElement": [
                {
                    "@type": "ListItem",
                    "position": 1,
                    "item": {
                        "@type": "Quotation",
                        "text": "Arithmetic has began to totter.",
                        "creator": {
                            "@type": "Person",
                            "name": "Gottlob Frege"
                        },
                        "url": "https://sms4smile.com/quotes/gottlob-frege/arithmetic-has-began-to-totter/",
                        "image": {
                            "@type": "ImageObject",
                            "@id": "https://sms4smile.com/quotes/i/8f8/gottlob-frege-32463_arithmetic_arithmetic-has-began-to-totter-46926_46926.jpg",
                            "contentUrl": "https://sms4smile.com/quotes/i/8f8/gottlob-frege-32463_arithmetic_arithmetic-has-began-to-totter-46926_46926.jpg",
                            "url": "https://sms4smile.com/quotes/i/8f8/gottlob-frege-32463_arithmetic_arithmetic-has-began-to-totter-46926_46926.jpg",
                            "width": 1080,
                            "height": 1080,
                            "caption": "“Arithmetic has began to totter.” — Gottlob Frege",
                            "creditText": "SMS4Smile Quotes",
                            "creator": {
                                "@id": "https://sms4smile.com/quotes/#organization"
                            }
                        }
                    }
                },
                {
                    "@type": "ListItem",
                    "position": 2,
                    "item": {
                        "@type": "Quotation",
                        "text": "I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the root drives into the depths.",
                        "creator": {
                            "@type": "Person",
                            "name": "Gottlob Frege"
                        },
                        "url": "https://sms4smile.com/quotes/gottlob-frege/i-compare-arithmetic-with-a-tree-that-unfolds-upwards-in-a-multitude/",
                        "image": {
                            "@type": "ImageObject",
                            "@id": "https://sms4smile.com/quotes/i/9a6/gottlob-frege-32463_arithmetic_i-compare-arithmetic-with-a-tree-that-un_2476756.jpg",
                            "contentUrl": "https://sms4smile.com/quotes/i/9a6/gottlob-frege-32463_arithmetic_i-compare-arithmetic-with-a-tree-that-un_2476756.jpg",
                            "url": "https://sms4smile.com/quotes/i/9a6/gottlob-frege-32463_arithmetic_i-compare-arithmetic-with-a-tree-that-un_2476756.jpg",
                            "width": 1080,
                            "height": 1080,
                            "caption": "“I compare arithmetic with a tree that unfolds upwards in a multitude of techniques and theorems while the…” — Gottlob Frege",
                            "creditText": "SMS4Smile Quotes",
                            "creator": {
                                "@id": "https://sms4smile.com/quotes/#organization"
                            }
                        }
                    }
                },
                {
                    "@type": "ListItem",
                    "position": 3,
                    "item": {
                        "@type": "Quotation",
                        "text": "Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.",
                        "creator": {
                            "@type": "Person",
                            "name": "Gottlob Frege"
                        },
                        "url": "https://sms4smile.com/quotes/gottlob-frege/your-discovery-of-the-contradiction-caused-me-the-greatest-surprise/",
                        "image": {
                            "@type": "ImageObject",
                            "@id": "https://sms4smile.com/quotes/i/7f1/gottlob-frege-32463_arithmetic_your-discovery-of-the-contradiction-caus_2942533.jpg",
                            "contentUrl": "https://sms4smile.com/quotes/i/7f1/gottlob-frege-32463_arithmetic_your-discovery-of-the-contradiction-caus_2942533.jpg",
                            "url": "https://sms4smile.com/quotes/i/7f1/gottlob-frege-32463_arithmetic_your-discovery-of-the-contradiction-caus_2942533.jpg",
                            "width": 1080,
                            "height": 1080,
                            "caption": "“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation…” — Gottlob Frege",
                            "creditText": "SMS4Smile Quotes",
                            "creator": {
                                "@id": "https://sms4smile.com/quotes/#organization"
                            }
                        }
                    }
                }
            ]
        },
        {
            "@type": "CollectionPage",
            "@id": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/#webpage",
            "url": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/",
            "name": "Arithmetic Quotes by Gottlob Frege",
            "isPartOf": {
                "@id": "https://sms4smile.com/quotes/#website"
            },
            "mainEntity": {
                "@id": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/#itemlist"
            },
            "primaryImageOfPage": {
                "@id": "https://sms4smile.com/quotes/i/8f8/gottlob-frege-32463_arithmetic_arithmetic-has-began-to-totter-46926_46926.jpg"
            },
            "description": "3 Arithmetic quotes by Gottlob Frege. Plus more from Gottlob Frege and more Arithmetic sayings from other authors.",
            "breadcrumb": {
                "@id": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/#breadcrumb"
            }
        },
        {
            "@type": "BreadcrumbList",
            "@id": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/#breadcrumb",
            "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": "Topics",
                    "item": "https://sms4smile.com/quotes/categories/"
                },
                {
                    "@type": "ListItem",
                    "position": 4,
                    "name": "Arithmetic",
                    "item": "https://sms4smile.com/quotes/about/arithmetic/"
                },
                {
                    "@type": "ListItem",
                    "position": 5,
                    "name": "Gottlob Frege",
                    "item": "https://sms4smile.com/quotes/about/arithmetic/gottlob-frege/"
                }
            ]
        },
        {
            "@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
            }
        }
    ]
}
```