The Organisation of Thought Educational And Scientific
The Organisation of Thought Educational And Scientific
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It is impossible, even in brief outline, to explain how mathematics is developed from the concepts of class and correlation, including many-cornered correlations, which are established in the third section. I can only allude to the headings of the process, which is fully developed in the work, Principia Mathematica, by Mr. Russell and myself. There are in this process of development seven 124 THE ORGANISATION OF THOUGHT special sorts of correlations which are of peculiar interest. The first sor...t comprises one-to-many, many-to-one, and one-to-one correlations. The second sort comprises serial relations, that is, correlations by which the members of some field are arranged in serial order, so that, in the sense defined by the relation, any member of the field is either before or after any other member. The third class comprises inductive relations, that is, correlations on which the theory of mathematical induction depends. The fourth class comprises selective relations, which are required for the general theory of arithmetic operations, and else- where.
What to read after The Organisation of Thought Educational And Scientific?
You can find similar books in the "Read Also" column, or choose other free books by Whitehead, Alfred North, 1861-1947 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
It is impossible, even in brief outline, to explain how mathematics is developed from the concepts of class and correlation, including many-cornered correlations, which are established in the third section. I can only allude to the headings of the process, which is fully developed in the work, Principia Mathematica, by Mr. Russell and myself. There are in this process of development seven 124 THE ORGANISATION OF THOUGHT special sorts of correlations which are of peculiar interest. The first sor...t comprises one-to-many, many-to-one, and one-to-one correlations. The second sort comprises serial relations, that is, correlations by which the members of some field are arranged in serial order, so that, in the sense defined by the relation, any member of the field is either before or after any other member. The third class comprises inductive relations, that is, correlations on which the theory of mathematical induction depends. The fourth class comprises selective relations, which are required for the general theory of arithmetic operations, and else- where.
What to read after The Organisation of Thought Educational And Scientific?
You can find similar books in the "Read Also" column, or choose other free books by Whitehead, Alfred North, 1861-1947 to read onlineMoreLess
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