Plato Quotes

Geometry draws the soul towards truth.

One geometry cannot be more true than another; it can only be more convenient. Geometry is not true, it is advantageous.

Geometry will draw the soul toward truth and create the spirit of philosophy.

Geometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry.

Geometry is the only science that it hath pleased God hitherto to bestow on mankind.

The early study of Euclid made me a hater of geometry.

Algebras deal not with laws of number, but with such laws of the human thinking machinery as have been discovered in the course of investigations on numbers. Plane geometry deals with such laws of thought as were discovered by men intent on finding out how to measure surface; and solid geometry with such additional laws of thought as were discovered when men began to extend geometry into three dimensions.

Geometry is knowledge that appears to be produced by human beings, yet whose meaning is totally independent of them.

Where there is matter, there is geometry.

Geometry in every proposition speaks a language which experience never dares to utter; and indeed of which she but halfway comprehends the meaning.

There are no sects in geometry.

Geometry is not true, it is advantageous.

Projective geometry is all geometry.

There is no royal road to geometry.

The description of right lines and circles, upon which geometry is founded, belongs to mechanics. Geometry does not teach us to draw these lines, but requires them to be drawn.

We cannot infer that because sciences of things divine and human are full of controversies and quarrels, therefore their whole subject-matter is uncertain ; for there have been many persons so enamoured of contradiction, as to turn into ridicule geometrical axioms.

I love the simplicity of the Cube because it's a very clear geometrical shape, and I love geometry because it's the study of how the whole universe is structured.

I think I still like science and art better, but geometry is a big improvement over algebra.

The ludicrous state of solid geometry made me pass over this branch.

The world of shapes, lines, curves, and solids is as varied as the world of numbers, and it is only our long-satisfied possession of Euclidean geometry that offers us the impression, or the illusion, that it has, that world, already been encompassed in a manageable intellectual structure. The lineaments of that structure are well known: as in the rest of life, something is given and something is gotten; but the logic behind those lineaments is apt to pass unnoticed, and it is the logic that controls the system.

I have no fault to find with those who teach geometry. That science is the only one which has not produced sects; it is founded on analysis and on synthesis and on the calculus; it does not occupy itself with the probable truth; moreover it has the same method in every country.

I hold all knowledge that is concerned with things that actually exist - all that is commonly called Science - to be of very slight value compared to the knowledge which, like philosophy and mathematics, is concerned with ideal and eternal objects, and is freed from this miserable world which God has made.

And therefore in geometry (which is the only science that it hath pleased God hitherto to bestow on mankind), men begin at settling the significations of their words; which settling of significations, they call definitions, and place them in the beginning of their reckoning.

Euclid Alone Has Looked on Beauty Bare.

The world is not impermanent if one lives there after knowing God.