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1

Ladies and Gentlemen:
My great desire is to render these lectures useful.

But eight lecture are do few in which to convey anything very useful on this subject, that I shall be obliged to form a resolution trick to supress all general explanations of our aim and our plan to pass by all difficulties unnoticed however greatly they maybe likely to embarass you, and to enunciate my propositions without proof, simply saying, so and so is good reasoning so and so is bad reasoning, without proving that it is as I say, although nobody condemns such a procedure more than I do, few quite as much as I do, and although, had the course been but a little longer I should have been able to give perfectly clear demonstrations of everything that I should have advanced , and to have cleared away all difficulties.

There lies, however, on the very threshold of the subject, an old fallacy which still

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