The World of Mathematics, Volume 3Vol. 3 of a monumental 4volume set covers such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the unreasonableness of mathematics, the vocabulary of mathematics, and mathematics as an art. Specific contributions by Jacob Bernoulli, George Bernard Shaw, Bertrand Russell, Hans Hahn, Ernst Mach, Hermann Weyl, George Boole, Alfred Tarski, and many others. Informative commentary by noted mathematics scholar James R. Newman precedes each essay. Numerous figures. 
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Review: The World of Mathematics Set
User Review  Hugh Chatfield  GoodreadsNot something you read cover to cover. You can dip in and out just about anywhere, First discovered this set in the local library and later purchased my own copy. Great reading in mathematics. You do't need advanced mathematics to enjoy this trio of books. Read full review
Review: The World of Mathematics Set
User Review  Derek Davis  GoodreadsPart way into vol. 2, good stuff, but what am I actually learning? Need to settle down with some elementary calculus and relearn what I forgot 40 years ago Read full review
Contents
Commentary  1416 
Foundations of Vital Statistics  1421 
First Life Insurance Tables  1437 
Commentary  1448 
The Law of Large Numbers  1452 
Commentary  1456 
Sampling and Standard Error  1459 
On the Average and Scatter  1487 
Commentary  1767 
The Essence of Mathematics  1773 
Commentary  1784 
The Economy of Science  1787 
Commentary  1796 
Measurement  1797 
Numerical Laws and the Use of Mathematics in Science  1814 
Commentary  1830 
Mathematics of a Lady Tasting Tea  1512 
Commentary  1522 
The Vice of Gambling and the Virtue of Insurance  1524 
The Supreme Art of Abstraction Group Theory  1533 
Commentary  1534 
The Group Concept  1538 
The Theory of Groups  1558 
Mathematics of Infinity  1575 
Mathematics and the Metaphysicians  1576 
Commentary  1591 
Infinity  1593 
Mathematical Truth and the Structure of Mathematics  1613 
Commentary  1614 
On the Nature of Mathematical Truth  1619 
Geometry and Empirical Science  1635 
The Axiomatic Method  1647 
Goedels Proof  1668 
A Mathematical Science  1696 
Mathematics and the World  1708 
Mathematical Postulates and Human Understanding  1723 
The Mathematical Way of Thinking  1755 
Commentary  1756 
The Study That Knows Nothing of Observation  1758 
The Mathematical Way of Thinking  1832 
Mathematics and Logic  1851 
Commentary  1852 
Mathematical Analysis of Logic  1856 
History of Symbolic Logic  1859 
Symbolic Notation Haddocks Eyes and the DogWalking Ordinance  1878 
Symbolic Logic  1901 
The Unreasonableness of Mathematics  1933 
Commentary  1934 
Paradox Lost and Paradox Regained  1936 
The Crisis in Intuition  1956 
How to Solve It  1977 
Commentary  1978 
How to Solve It  1980 
The Vocabulary of Mathematics  1993 
Commentary  1994 
New Names for Old  1996 
Mathematics as an Art  2011 
Commentary  2012 
Mathematics as an Art  2015 
2023  
Common terms and phrases
algebra arithmetic assertion assumptions average axiomatic axiomatic method axioms Bertrand Russell calculation called cardinal number concept consistency construction contains counting curve deduction deﬁned deﬁnition derived difﬁculty equal equation Ernest Nagel errors euclidean euclidean geometry example experience experimental expression fact false ﬁeld ﬁgure ﬁnd ﬁnite number ﬁrst ﬁve ﬁxed formal formula geometry given Goedel number googol googolplex Hans Hahn ideas implication inﬁnite inﬁnite sets integer intuition Leibniz logic mathe mathematical logic mathematical propositions mathematician matics meaning measure ment metamathematical method natural numbers nonEuclidean geometries notion objects observation obtained operation parallel axiom philosophy physical plane positive number possible postulates principle problem proof pure question real numbers reasoning relation result rule sample satisﬁed scientiﬁc sense sentence sentential calculus sentential function signiﬁcance space speciﬁc statement straight line symbols theorems theory things tion transformations true truth undeﬁned variables velocity words