We must say that there are as many squares as there are numbers.

Meaning of the quote

This quote means that for every number, there is a square that matches it. For example, the number 4 has a square of 16, the number 9 has a square of 81, and so on. The number of squares is the same as the number of numbers. This idea helps us understand the relationship between numbers and their squares.

About Galileo Galilei

Galileo Galilei was an Italian astronomer, physicist, and engineer who made groundbreaking discoveries in the field of observational astronomy and modern-era classical physics. He faced opposition from the Catholic Church for his championing of the Copernican heliocentric model, but his contributions to the scientific method and modern science are undeniable.

More about the author

More quotes from Galileo Galilei

By denying scientific principles, one may maintain any paradox.

Galileo Galilei

Italian polymath

It vexes me when they would constrain science by the authority of the Scriptures, and yet do not consider themselves bound to answer reason and experiment.

Galileo Galilei

Italian polymath

I’ve loved the stars too fondly to be fearful of the night.

Galileo Galilei

Italian polymath

Where the senses fail us, reason must step in.

Galileo Galilei

Italian polymath

The Milky Way is nothing else but a mass of innumerable stars planted together in clusters.

Galileo Galilei

Italian polymath

I do not feel obliged to believe that the same God who has endowed us with sense, reason, and intellect has intended us to forgo their use.

Galileo Galilei

Italian polymath

Measure what is measurable, and make measurable what is not so.

Galileo Galilei

Italian polymath

We must say that there are as many squares as there are numbers.

Galileo Galilei

Italian polymath

The Bible shows the way to go to heaven, not the way the heavens go.

Galileo Galilei

Italian polymath

I have never met a man so ignorant that I couldn’t learn something from him.

Galileo Galilei

Italian polymath

In questions of science, the authority of a thousand is not worth the humble reasoning of a single individual.

Galileo Galilei

Italian polymath

It is surely harmful to souls to make it a heresy to believe what is proved.

Galileo Galilei

Italian polymath

All truths are easy to understand once they are discovered; the point is to discover them.

Galileo Galilei

Italian polymath

The sun, with all those planets revolving around it and dependent on it, can still ripen a bunch of grapes as if it had nothing else in the universe to do.

Galileo Galilei

Italian polymath

Facts which at first seem improbable will, even on scant explanation, drop the cloak which has hidden them and stand forth in naked and simple beauty.

Galileo Galilei

Italian polymath

We cannot teach people anything; we can only help them discover it within themselves.

Galileo Galilei

Italian polymath

I think that in the discussion of natural problems we ought to begin not with the Scriptures, but with experiments, and demonstrations.

Galileo Galilei

Italian polymath

If I were again beginning my studies, I would follow the advice of Plato and start with mathematics.

Galileo Galilei

Italian polymath

Nature is relentless and unchangeable, and it is indifferent as to whether its hidden reasons and actions are understandable to man or not.

Galileo Galilei

Italian polymath