Budget of

A Budget of Paradoxes, Volume I

Name: A Budget of Paradoxes, Volume I
Author: De Morgan, Augustus, 1806-1871; Smith, David Eugene, 1860-1944 [Editor]

作者：De Morgan, Augustus, 1806-1871; Smith, David Eugene, 1860-1944 [Editor]
体例：题　章数：198
字数：711,523　来源：Project Gutenberg

开始阅读章节目录

章节目录

共 198 题

BY AUGUSTUS DE MORGAN
REPRINTED WITH THE AUTHOR'S ADDITIONS FROM THE ATHENAEUM
SECOND EDITION EDITED BY DAVID EUGENE SMITH
WITH A NEW INTRODUCTION BY ERNEST NAGEL
PROFESSOR OF PHILOSOPHY, COLUMBIA UNIVERSITY
UNABRIDGED EDITION--TWO VOLUMES BOUND AS ONE
Volume I
DOVER PUBLICATIONS, INC., NEW YORK
PREFACE TO THE FIRST EDITION.
SOPHIA DE MORGAN.
6 MERTON ROAD, PRIMROSE HILL.
PREFACE TO THE SECOND EDITION.
DAVID EUGENE SMITH.
TEACHERS COLLEGE, COLUMBIA UNIVERSITY.
A BUDGET OF PARADOXES
INTRODUCTORY.
THE EDITORIAL SYSTEM.
I copy an account which I gave elsewhere.
A BUDGET OF PARADOXES.
VOLUME I.
THE STORY OF BURIDAN'S ASS.
MICHAEL SCOTT'S DEVILS.
Rumpat et serpens iter institutum,[19]
PHILO OF GADARA.
ON SQUARING THE CIRCLE.
BOVILLUS ON THE QUADRATURE PROBLEM.
THE STORY OF LACOMME'S ATTEMPT AT QUADRATURE.
NICOLAUS OF CUSA'S ATTEMPT.
HENRY CORNELIUS AGRIPPA.
WHICH LEADS TO WALTER SCOTT.
FINAEUS ON CIRCLE SQUARING.
DUCHESNE, AND A DISQUISITION ON ETYMOLOGY.
FALCO'S RARE TRACT.
BUNGUS ON THE MYSTERY OF NUMBER.
WHICH LEADS TO A STORY ABOUT THE ROYAL SOCIETY.
AND ALSO TO A QUESTION OF EVIDENCE.
AND TO ANOTHER QUESTION OF EVIDENCE.
GIORDANO BRUNO AND HIS PARADOXES.
THIS LEADS TO THE CHURCH QUESTION.
OF THOMAS GEPHYRANDER SALICETUS.
NAPIER ON REVELATIONS.
I give Napier's parting salute: it is a killing dilemma:
OF GILBERT'S DE MAGNETE.
OF GIOVANNI BATISTA PORTA.
CATALDI ON THE QUADRATURE.
OF LANSBERGIUS.
A TEXT LEADING TO REMARKS ON PRESTER JOHN.
CONCERNING A TRACT BY FIENUS.
ON SNELL'S WORK.
ON BACON'S NOVUM ORGANUM.
ON METEOROLOGICAL OBSERVATORIES.
BASIS OF MODERN DISCOVERY.
THE REAL VALUE OF BACON'S WORKS.
THE CONGREGATION OF THE INDEX, ON COPERNICUS.
THE CONVOCATION AT OXFORD EQUALLY AT FAULT.
THE METIUS APPROXIMATION.
ON INHABITABLE PLANETS.
There was a discussion on the subject some years ago, which began with
INHABITED PLANETS IN FICTION.
A VENETIAN BUDGET OF PARADOXES.
THE CIRCULATING MEDIA OF MATHEMATICS.
THE SYMPATHETIC POWDER.
HOBBES AS A MATHEMATICIAN.
AN ESTIMATE OF SCALIGER.
JOHN GRAUNT AS A PARADOXER.
MANKIND A GULLIBLE LOT.
A FORERUNNER OF A WRITTEN ESPERANTO.
GREGOIRE DE ST. VINCENT.
RENE DE SLUSE.
JAMES GREGORY.
BEAULIEU'S QUADRATURE.
I will now extract Beaulieu's treatise on algebra, entire.
SIR MATTHEW HALE.
ON THE DISCOVERY OF ANTIMONY.
ON ALCHEMY.
MATHEMATICAL THEOLOGY.
THE ARISTOCRAT AS A SCIENTIST.
THE LONGITUDE PROBLEM.
THE AURORA BOREALIS.
DE MORGAN ANAGRAMS.
NEWTON'S DE MUNDI SYSTEMATE LIBER.
A BACONIAN CONTROVERSY.
LOCKE AND SOCINIANISM.
TWO FORGOTTEN CIRCLE SQUARERS.
Here [pi] = 3.0625. No proof is offered.[310]
THE STEAMSHIP SUGGESTED.
THE NEWTONIANS ATTACKED.
MATHEMATICAL THEOLOGY.
TWO MODEL INDORSEMENTS.
THOMAS WRIGHT OF DURHAM.
BISHOP HORNE ON NEWTON.
FALLACIES IN A THEORY OF ANNUITIES.
MONTUCLA'S WORK ON THE QUADRATURE.
ANTINEWTONIANISMUS.
OFFICIAL BLOW TO CIRCLE SQUARERS.
AN INTERESTING HOAX.
TWO JESUIT CONTRIBUTIONS.
BAILLY'S EXAGGERATED VIEW OF ASTRONOMY.
SAINT-MARTIN ON ERRORS AND TRUTH.
A FORERUNNER OF THE METRIC SYSTEM.
THOMAS PAINE'S RIGHTS OF MAN.
ATTACKS ON RELIGIOUS CUSTOMS.
HONE'S FAMOUS TRIALS.
THOMAS TAYLOR, THE PLATONIST.
A NEW ERA IN FICTION.
THE RELIGIOUS TRACT SOCIETY.
A TRIBUTE TO WILLIAM FREND.
A STORY ON SIMSON.
BARON MASERES.
MR. FREND'S BURLESQUE.
ON YOUTHFUL PRODIGIES.
NEWTON AGAIN OVERTHROWN.
BISHOPS AS PARADOXERS.
THE QUESTION OF PARALLELS.
A PATRIOTIC PARADOX.
SOME SCIENTIFIC PARADOXES.
A RELIGIOUS PARADOX.
SIR RICHARD PHILLIPS.
WHATELY'S FAMOUS PARADOX.
VOLTAIRE A CHRISTIAN.
WRONSKI ON THE LONGITUDE PROBLEM.
DR. MILNER'S PARADOXES.
HERBART'S MATHEMATICAL PSYCHOLOGY.
ON THE WHIZGIG.
SOME MYTHOLOGICAL PARADOXES.
A KANTESIAN JEWELER.
WALSH'S DELUSIONS.
GROWTH OF FREEDOM OF OPINION.
THE STATUS OF MEDICINE.
THE CHRISTIAN EVIDENCE SOCIETY.
THE CABBALA.
ON GODFREY HIGGINS.
The system of these works is that--
ON POPE'S DIPPING NEEDLE.
THE JACOTOT METHOD.
A DISCOURSE ON PROBABILITY.
EUCLID WITHOUT AXIOMS.
THE LUNAR CAUSTIC JOKE.
ON M. DEMONVILLE.
PARSEY'S PARADOX.
ON A COUPLE OF GEOMETRIES.
NEWTON AGAIN OBLITERATED.
SIR JOHN HERSCHEL.
THE NAUTICAL ALMANAC.
WOODLEY'S DIVINE SYSTEM.
Description of the Universal Time-piece. (4pp. 12mo.)
ON JOHN FLAMSTEED.
ON STEVIN.
FINLEYSON AS A PARADOXER.
ON THEOLOGICAL PARADOXERS.
AN EARLY METEOROLOGIST.
THE HERSCHEL HOAX.
SOME MORE METEOROLOGY.
THE GREAT PYRAMIDS.
THE MATHEMATICS OF A CREED.
LOGIC HAS NO PARADOXERS.
RUE NOT!
TRUE? NO!
SOME DOGGEREL AND COUNTER DOGGEREL.
ANOTHER THEORY OF PARALLELS.
SOME PRIMITIVE DARWINISM.
ON RELIGIOUS INSURANCE.
THE TWO OLD PARADOXES AGAIN.
THE DUPLICATION PROBLEM.
SOME MODERN ASTROLOGY.
THE NUMBER OF THE BEAST.
EASTER DAY PARADOXERS.
EASTER DAY.
19 average Julian years make 6939 days 18 hours.
235 average lunations make 6939 days 16 hours 31 minutes.
I. Add 1 to the given year. (1850).
IV. Take the quotient of III. divided by 4, neglecting the remainder. (0).
V. From the sum of I, II, and IV., subtract III. (2310).
VI. Find the remainder of V. divided by 7. (0).
VII. Subtract VI. from 7; this is the number of the dominical letter
XIII. Subtract XII., the epact, from 45. (39).
XIII. Subtract XII., the epact, from 75.
I. Set down the given year. (1287).
V. Take 4 more than the sum of I. and II. (1612).
VI. Find the remainder of V. divided by 7. (2).
VII. Subtract VI. from 7; this is the number of the dominical letter
XIII. Subtract XII., the epact, from 45. (33).
XIII. Subtract XII., the epact, from 75.
A COUPLE OF MINOR PARADOXES.
SPECULATIVE THOUGHT IN ENGLAND.
THE OLD MATHEMATICAL SOCIETY.
THE ASTRONOMER'S DRINKING SONG.
LE VERRIER'S[792] PLANET.
THE NEW PLANET.
ASTRONOMICAL POLICE REPORT.
A NEW THEORY OF TIDES.
AN ASTRONOMICAL PARADOXER.
THEISM INDEPENDENT OF REVELATION.
Notes
[261] Platt (1552-1611) was the son of a
1 + 1/2^2 + 1/3^2 + ... = [pi]^2/6.
If, therefore, the given series equals 1, we have
2 = 1/6 [pi]^2