It may fairly be said that the germs of the modern algebra of linear…

A great deal of misunderstanding is avoided if it be remembered that the terms infinity, infinite, zero, infinitesimal must be interpreted in connexion with their context, and admit a variety of meanings according to the way in which they …

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.