Isaac Newton Quotes

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

The universe is governed by science. But science tells us that we can't solve the equations, directly in the abstract.

There are infinite numbers between 0 and 1.

Some infinities are bigger than other infinities.

Art is based on very clear, mathematical principles like proportion and harmony. At the same time, physicists need to be inventive, to have ideas, to have some fantasy.

Space is as infinite as we can imagine, and expanding this perspective is what adjusts humankind focus on conquering our true enemies, the formidable foes: ignorance and limitation.

No one shall expel us from the paradise that Cantor has created for us.

Modes are infinite, and laws are infinite.

A pint can't hold a quart - if it holds a pint it is doing all that can be expected of it.

All kinds of physical considerations become senseless when we try to apply them to distances smaller than 10 -13 centimeter.

Something is infinite if, taking it quantity by quantity, we can always take something outside.

That which has no limitations, has no form.

The vain presumption of understanding everything can have no other basis than never having understood anything. For anyone who had ever experienced just once the perfect understanding of one single thing, and had truly tasted how knowledge is accomplished, would recognize that of the infinity of other truths he understands nothing.

I protest against the use of infinite magnitude ..., which is never permissible in mathematics.

The Axiom of Choice is necessary to select a set from an infinite number of socks, but not an infinite number of shoes.

For after all what is man in nature? A nothing in relation to infinity, all in relation to nothing, a central point between nothing and all and infinitely far from understanding either. The ends of things and their beginnings are impregnably concealed from him in an impenetrable secret. He is equally incapable of seeing the nothingness out of which he was drawn and the infinite in which he is engulfed.

Every infinity... is made finite to God.

It is the infinite alone that cannot be attained, for if it could it would become finite.

I’ve never been in those places where I’ve never been and never will be, I have no share in the infinity of light-years and dark-years, but the darkness is mine, and the light, and my time is my own.

A googolplex is precisely as far from infinity as is the number 1... no matter what number you have in mind, infinity is larger still.

Neither concepts nor mathematical formulae can explain the infinite.

Heaven is beyond our imagination . . . . At our most creative moment, at our deepest thought, at our highest level, we still cannot fathom eternity.

It is never possible to predict a physical occurrence with unlimited precision.

Knowledge is as infinite as the universe. The man who claims to know all, only reveals to all that he really knows nothing.

[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.