Antiquities

 

 

 

    ←  Now available in paperback.

 

 

 

1  Translating Ancient Minds

 

1.1  Egyptian Unit Fractions

3

1.2  Remembering Socrates

16

1.3  Platonic Solids and Plato's Theory of Everything

20

1.4  Translating Aristotle

28

1.5  Hipparchus on Compound Statements

33

1.6  The Ten Means of Ancient Greece

46

1.7  Archimedes and the Square Root of 3

48

1.8  Archimedes and Godfrey

51

1.9  Eccentrics, Deferents, Epicycles, and Equants

58

 

 

2  Wonder En Is Gheen Wonder

 

2.1  Thomas Harriot and the New World

70

2.2  Galileo's Anagrams and the Moons of Mars

76

2.3  Galileo's Law of Planetary Motion

80

2.4  Dialogues

85

2.5  Prisca Sapientia

88

2.6  Wonder En Is Gheen Wonder

91

2.7  Mercurius in Sole Visus

94

2.8  Hold Your Horses

98

2.9  Fermat's Fallibility

104

 

 

3  Harmonia Praestabilita

 

3.1  Newton's Birth Date and the Anni Mirabiles

109

3.2  The Fundamental Anagram of Calculus

114

3.3  Newton’s Cats

116

3.4  The Most Teachable of Mortals

119

3.5  Harmonia Mensurarum

122

3.6  Berkeley and the Infidel

131

3.7  The Portraits of Emilie

132

3.8  Harmonia Praestabilita

140

3.9  The Doctrine of Chance

145

 

 

4  In the Shadows

 

4.1  Nicolas Fatio and the Cause of Gravity

155

4.2  Lesage's Shadows

165

4.3  Fatio, Lesage, and the Camisards

186

4.4  Historical Assessments of the Fatio-Lesage Theory

193

4.5  Omni-Directional Flux

206

 

 

5  Metamorphosis

 

5.1  Saturnday, Sunday, Moonday

223

5.2  Gamaliel's Principle

224

5.3  Benevolent Design and the Anthropic Principle

229

5.4  Mayan Numeration

241

5.5  The Metamorphosis of Judas Iscariot

243

 

 

6  More Light

 

6.1  Franklin’s Magin Squares

247

6.2  Zur Farbenlehre

250

6.3  The Longitude of Lewis and Clark

259

6.4  Gauss's Children and Adam's Gold

261

6.5  Galois's Analysis of Analysis

265

6.6  The Thought of a Thought

267

6.7  Spiritualism and Electromagnetism

287

6.8  Dodgson’s Paradox

293

6.9  Did Poincare Anticipate Godel?

295

 

 

7  Casting Out Nines

 

7.1  Feynman's Ants

302

7.2  The Dullness of 1729

313

7.3  Casting Out Nines

315

7.4  Is Knowledge Cumulative?

319

7.5  Dialogue On Mathematical and Physical Knowledge

321

7.6  Death's Dual: Life Be Not Proud

332

7.7  White Ravens and Black Swans

335

 

 

8  Never See So Much

 

8.1  Electoral Draws

340

8.2  Bertelsen's Number

343

8.3  Reconstructing Brouwer

345

8.4  Lucretius on the Equivalence Principle

353

8.5  Accidental Melodies

353

8.6  Efficient and Final Causes

359

8.7  World's Oldest Man Dies

362