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Tables of Contents for The World of Mathematics
Chapter/Section Title
Page #
Page Count
PART VIII: Statistics and the Design of Experiments
An Ingenious Army Captain and a Generous and Many-sided Man: Commentary
1416
5
Foundations of Vital Statistics
1421
16
John Graunt
First Life Insurance Tables
1437
15
Edmund Halley
Commentary
1448
4
The Law of Large Numbers
1452
7
Jacob Bernoulli
Statistics and the Lady with a Fine Palate: Commentary
1456
3
Sampling and Standard Error
1459
28
L.C. Tippett
On the Average and Scatter
1487
25
M.J. Moroney
Mathematics of a Lady Tasting Tea
1512
12
Sir Ronald A. Fisher
The Scientific Aptitude of George Bernard Shaw: Commentary
1522
2
The Vice of Gambling and the Virtue of Insurance
1524
14
George Bernard Shaw
PART IX: The Supreme Art of Abstraction: Group Theory
Certain Important Abstractions: Commentary
1534
4
The Group Concept
1538
20
Cassius J. Keyser
The Theory of Groups
1558
18
Sir Arthur Stanley Eddington
PART X: Mathematics of Infinity
Mathematics and the Metaphysicians
1576
17
Bertrand Russell
Hans Hahn: Commentary
1591
2
Infinity
1593
26
Hans Hahn
PART XI: Mathematical Truth and the Structure of Mathematics
The Foundations of Mathematics: Commentary
1614
5
On the Nature of Mathematical Truth
1619
16
Carl G. Hempel
Geometry and Empirical Science
1635
12
Carl G. Hempel
The Axiomatic Method
1647
21
Raymond L. Wilder
Goedel's Proof
1668
28
Ernest Nagel
James R. Newman
A Mathematical Science
1696
12
Oswald Veblen
John Wesley Young
Mathematics and the World
1708
15
Douglas Gasking
Mathematical Postulates and Human Understanding
1723
35
Richard Von Mises
PART XII: The Mathematical Way of Thinking
An Eristic Controversy: Commentary
1756
2
The Study That Knows Nothing of Observation
1758
15
James Joseph Sylvester
Charles Sanders Peirce: Commentary
1767
6
The Essence of Mathematics
1773
14
Charles Sanders Peirce
Ernst Mach: Commentary
1784
3
The Economy of Science
1787
10
Ernst Mach
Norman Robert Campbell: Commentary
1796
1
Measurement
1797
17
Norman Campbell
Numerical Laws and the Use of Mathematics in Science
1814
18
Norman Campbell
Hermann Weyl: Commentary
1830
2
The Mathematical Way of Thinking
1832
24
Hermann Weyl
PART XIII: Mathematics and Logic
Symbolic Logic, George Boole and a Horrible Dream: Commentary
1852
4
Mathematical Analysis of Logic
1856
3
George Boole
History of Symbolic Logic
1859
19
Clarence Irving Lewis
Cooper Harold Langford
Symbolic Notation, Haddocks' Eyes and the Dog-Walking Ordinance
1878
23
Ernest Nagel
Symbolic Logic
1901
35
Alfred Tarski
PART XIV: The Unreasonableness of Mathematics
The Importance of Being Absurd: Commentary
1934
2
Paradox Lost and Paradox Regained
1936
20
Edward Kasner
James R. Newman
The Crisis in Intuition
1956
24
Hans Hahn
PART XV: How to Solve It
The Tears of Mathematics: Commentary
1978
2
How to Solve It
1980
16
G. Polya
PART XVI: The Vocabulary of Mathematics
Double Infinite Rapport and Other Mathematical Jargon: Commentary
1994
2
New Names for Old
1996
19
Edward Kasner
James R. Newman
PART XVII: Mathematics as an Art
John William Navin Sullivan: Commentary
2012
3
Mathematics as an Art
2015
6
John William Navin Sullivan
Index
2021