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Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity.
British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).
|1||The Series of Natural Numbers||1|
|2||Definition of Number||11|
|3||Finitude and Mathematical Induction||20|
|4||The Definition of Order||29|
|5||Kinds of Relations||52|
|6||Similarity of Relations||52|
|7||Rational, Real, and Complex Numbers||63|
|8||Infinite Cardinal Numbers||77|
|9||Infinite Series and Ordinals||89|
|10||Limits and Continuity||97|
|11||Limits and Continuity of Functions||107|
|12||Selections and Multiplicative Axiom||117|
|13||The Axiom of Infinity and Logical Types||131|
|14||Incompatibility and the Theory of Deduction||144|
|18||Mathematics and Logic||194|
Posted October 20, 2008
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