PART VIII: Statistics and the Design of Experiments |
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An Ingenious Army Captain and a Generous and Many-sided Man: Commentary |
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1. |
Foundations of Vital Statistics by JOHN GRAUNT |
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2. |
First Life Insurance Tables by EDMUND HALLEY |
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Commentary |
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3. |
The Law of Large Numbers by JACOB BERNOULLI |
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Statistics and the Lady with a Fine Palate: Commentary |
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4. |
Sampling and Standard Error by L. C. Tippett |
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5. |
On the Average and Scatter by M. J. MORONEY |
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6. |
Mathematics of a Lady Tasting Tea by SIR RONALD. A FISHER |
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The Scientific Aptitude of George Bernard Shaw: Commentary |
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7. |
The Vice of Gambling and the Virtue of Insurance by GEORGE BERNARD SHAW |
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PART IX: The Supreme Art of Abstraction: Group Theory |
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Certain Important Abstractions: Commentary |
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1. |
The Group Concept by CASSIUS J. KEYSER |
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2. |
The Theory of Groups by SIR ARTHUR STANLEY EDDINGTON |
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PART X: Mathematics of Infinity |
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1. |
Mathematics and the Metaphysicians by BERTRAND RUSSELL |
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Hans Han: Commentary |
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2. |
Infinity by HANS HAHN |
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PART XI: Mathematical Truth and the Structure of Mathematics |
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The Foundations of Mathematics: Commentary |
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1. |
On the Nature of Mathematical Truth by CARL G. HEMPEL |
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2. |
Geometry and Empirical Science by CARL G. HEMPEL |
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3. |
The Axiomatic Method by RAYMOND L. WILDER |
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4. |
Goedel's Proof by ERNEST NAGEL AND JAMES R. NEWMAN |
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5. |
A Mathematical Science by OSWALD VEBLEN and JOHN WESLEY YOUNG |
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6. |
Mathematics and the World by DOUGLAS GASKING |
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7 |
Mathematics Postulates and Human Understanding by RICHARD VON MISES |
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PART XII: THE MATHEMATICAL Way of Thinking |
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An Eristic Controversy: Commentary |
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1. |
The Study That Knows Nothing of Observation by JAMES JOSEPH SYLVESTER |
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Charles Sanders Peirce: Commentary |
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2. |
The Essence of Mathematics by CHARLES SANDERS PEIRCE |
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Ernst Mach: Commentary |
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3. |
The Economy of Science by ERNST MACH |
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Norman Robet Campbell: Commentary |
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4. |
Measurement by NORMAN CAMPBELL |
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5. |
Numerical Laws and the Use of Mathematics in Science by NORMAN CAMPBELL |
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Hermann Weyl: Commentary |
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6. |
The Mathematical Way of Thinking by HERMANN WEYL |
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PART XIII: Mathematics and Logic |
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"Symbolic Logic, George Boole and a Horrible Dream: Commentary " |
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1. |
Mathematical Analysis of Logic by GEORGE BOOLE |
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2. |
History of Symbolic Logic by CLARENCE IRVING LEWIS and COOPER HAROLD LANGFORD |
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3. |
"Symbolic Notation, Haddocks' Eyes and the Dog-Walking Ordinance by ERNEST NAGEL" |
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4. |
Symbolic Logic by ALFRED TARSKI |
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PART XIV: The Unreasonableness of Mathematics |
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The Importance of Being Absurd: Commentary |
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1. |
Paradox Lost and Paradox Regained by EDWARD KASNER AND JAMES R. NEWMAN |
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2. |
The Crisis in Intuition by HANS HAHN |
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PART XV: How to Solve It |
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The Tears of Mathematics: Commentary |
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1. |
How to Solve It by G. POLYA |
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PART XVI: The Vocabulary of Mathemtics |
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Double Infinite Rapport and Other Mathematical Jargon: Commentary |
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1. |
New Names for Old by EDWARD KASNER AND JAMES R. NEWMAN |
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PART XVII: Mathematics as an Art |
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John William Navin Sullivan: Commentary |
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1. |
Mathematics as an Art by JOHN WILLIAM NAVIN SULLIVAN |
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INDEX |