Logics Quotes
It lies deep in our habits, confirmed by all manner of educational and other arrangements for several centuries back, to consider human talent as best of all evincing itself by the faculty of eloquent speech. Our earliest schoolmasters teach us, as the one gift of culture they have, the art of spelling and pronouncing, the rules of correct speech; rhetorics, logics follow, sublime mysteries of grammar, whereby we may not only speak but write. And onward to the last of our schoolmasters in the highest university, it is still intrinsically grammar, under various figures grammar. To speak in various languages, on various things, but on all of them to speak, and appropriately deliver ourselves by tongue or pen,-this is the sublime goal towards which all manner of beneficent preceptors and learned professors, from the lowest hornbook upwards, are continually urging and guiding us.
Thomas Carlyle
The total subject of mathematics is clearly too broad for any one of us. I do not think that any mathematician since Gauss has covered it fully and uniformly, even Hilbert did not, and all of us are of considerably lesser width (quite apart from the question of depth) than Hilbert. It would therefore, be quite unrealistic not to admit, that any address I could possibly give would not be biased towards some areas in mathematics in which I have had some experience, to the detriment of others which may be equally or more important. To be specific, I could not avoid a bias towards those parts of analysis, logics, and certain border areas of the applications of mathematics to other sciences in which I have worked. If your Committee feels that an address which is affected by such imperfections still fits into the program of the Congress, and if the very generous confidence in my ability to deliver continues, I shall be glad to undertake it.
John von Neumann