A great deal of misunderstanding is avoided if it be remembered that…

It may fairly be said that the germs of the modern algebra of linear substitutions and concomitants are to be found in the fifth section of the Disquisitiones Arithmeticae; and inversely, every advance in the algebraic theory of forms is …

That a formal science like algebra, the creation of our abstract thought, should thus, in a sense, dictate the laws of its own being, is very remarkable. It has required the experience of centuries for us to realize the full force of this …

Strictly speaking, the theory of numbers has nothing to do with negative, or fractional, or irrational quantities, as such. No theorem which cannot be expressed without reference to these notions is purely arithmetical: and no proof of an …

The invention of the symbol ≡ by Gauss affords a striking example of the advantage which may be derived from an appropriate notation, and marks an epoch in the development of the science of arithmetic.

The scene was changed. It was a bark that slowly held its way, And o'er its lee the coast of France in the light of evening lay; And on its deck a lady sat, who gazed with tearful eyes Upon the fast receding hills that dim and distant rise.

So All is diff’rent, and yet All is One.