Algebra is nothing more than geometry, in words; geometry is nothing more than algebra, in pictures.

— Sophie Germain

## Genuine Algebraic quotations

Men are liars. We'll lie about lying if we have to. I'm an algebra liar. I figure two good lies make a positive.

### The only way to learn mathematics is to do mathematics.

As long as algebra and geometry have been separated, their progress have been slow and their uses limited; but when these two sciences have been united, they have lent each mutual forces, and have marched together towards perfection.

As long as algebra is taught in school, there will be prayer in school.

### The author discusses valueless measures in pointless spaces.

Everyone is born creative; everyone is given a box of crayons in kindergarten. Then when you hit puberty they take the crayons away and replace them with dry, uninspiring books on algebra, history, etc. Being suddenly hit years later with the 'creative bug' is just a wee voice telling you, 'I'd like my crayons back, please.

Algebra is but written geometry and geometry is but figured algebra.

The fun little proofs that you can do with algebra - they are sort of like crowd pleasers in a way. Like, the .9 repeating equaling one. It doesn't take a lot of algebra to prove that, and it's really fun. It kind of wows people. It's like they're watching magic happen right before their eyes.

Dear Algebra, stop asking us to find your X, she’s not coming back

...A strange art – music – the most poetic and precise of all the arts, vague as a dream and precise as algebra.

As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra.

As the sun eclipses the stars by its brilliancy, so the man of knowledge will eclipse the fame of others in assemblies of the people if he proposes algebraic problems, and still more if he solves them.

By the help of God and with His precious assistance, I say that Algebra is a scientific art. The objects with which it deals are absolute numbers and measurable quantities which, though themselves unknown, are related to "things" which are known, whereby the determination of the unknown quantities is possible.

Love and you shall be loved. All love is mathematically just, as much as the two sides of an algebraic equation.

### The reader will find no figures in this work.

The methods which I set forth do not require either constructions or geometrical or mechanical reasonings: but only algebraic operations, subject to a regular and uniform rule of procedure.

### Algebra is generous; she often gives more than is asked of her.

Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

It is hard to convince a high-school student that he will encounter a lot of problems more difficult than those of algebra and geometry.

### It is the facts that matter, not the proofs.

Physics can progress without the proofs, but we can't go on without the facts ... if the facts are right, then the proofs are a matter of playing around with the algebra correctly.

### Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain.

No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

No one fully understands spinors. Their algebra is formally understood but their general significance is mysterious. In some sense they describe the 'square root' of geometry and, just as understanding the square root of -1 took centuries, the same might be true of spinors.

Mozart, Pascal, Boolean algebra, Shakespeare, parliamentary government, baroque churches, Newton, the emancipation of women, Kant, Balanchine ballets, et al. don’t redeem what this particular civilization has wrought upon the world. The white race is the cancer of human history.

Everybody needs some inspiration, Everybody needs some motivation, mix it up with some imagination, and use your natural gifts.

Standard mathematics has recently been rendered obsolete by the discovery that for years we have been writing the numeral five backward. This has led to reevaluation of counting as a method of getting from one to ten. Students are taught advanced concepts of Boolean algebra, and formerly unsolvable equations are dealt with by threats of reprisals.

Worrying is as effective as trying to solve an algebra equation by chewing bubble gum.

There is a science of getting rich, and it is an exact science, like algebra or arithmetic. There are certain laws which govern the process of acquiring riches, and once these laws are learned and obeyed by anyone, that person will get rich with mathematical certainty.

Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry.

Don't worry about the future. Or worry, but know that worrying is as effective as trying to solve an algebra equation by chewing bubble gum. The real troubles in your life are apt to be things that never crossed your worried mind, the kind that blindside you at 4 p.m. on some idle Tuesday.

### At the age of 12, I developed an intense interest in mathematics.

On exposure to algebra, I was fascinated by simultaneous equations and read ahead of the class to the end of the book.

Algebra is the intellectual instrument which has been created for rendering clear the quantitative aspects of the world.

Is it a spiral of water in the tragic gleam of a revolver, an egg, a glistening arc or the floodgate of reason, a keen ear attuned to a mineral hiss, or a turbine of algebraic formulas? (On Man Ray's first photograms, 1921.)

[At a musical concert:] . . . the music's pure algebra of enchantment.

### Algebra is the metaphysics of arithmetic.

My favourite subjects at school were algebra and logic: making a big problem into something small.