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Mathematics as an expression of the human mind reflects the active will, the contemplative reason, and the desire for aesthetic perfection. Its basic elements are logic and intuition, analysis and construction, generality and individuality. Though different traditions may emphasize different aspects, it is only the interplay of these antithetic forces and the struggle for their synthesis that constitute the life, usefulness, and supreme value of mathematical science.
My darling girl, Unfortunately this earth is not a fairy-land, but a struggle for life, perfectly natural and therefore extremely harsh. All the same, or precisely for this reason, it is happiness and comfort for us men to have a precious sweetheart - and I have the most precious, the dearest and best of all!
Every body and every thing conspire to make me as contented as possible in it; yet I have seen too much of the vanity of human affairs, to expect felicity from the splendid scenes of public life. I am still determined to be cheerful and to be happy, in whatever situation I may be; for I have also learnt, from experience, that the greater part of our happiness or misery depends upon our dispositions, and not upon our circumstances. We carry the seeds of the one or the other about with us, in our minds, wheresoever we go.
I am not tragically colored. There is no great sorrow dammed up in my soul, nor lurking behind my eyes. I do not mind at all. I do not belong to that sobbing school of Negrohood who hold that nature somehow has given them a lowdown dirty deal. Even in the helter-skelter skirmish that is my life, I have seen that the world is to the strong regardless of a little pigmentation more or less. No, I do not weep at the world — I am too busy sharpening my oyster knife.