The Mathematics of Infinity: A Guide to Great Ideas, 2nd Edition

Index

(0, 1) 46

{0, 1}^A 142

∩ 7

10

≤ for cardinals 117

∣ 5

A

(aleph) 144

₀ (aleph naught) 102, 145

Abel, Niels 218

absolute zero 3

abstraction 62

Aladdin 227

Aristotelian Logic 186

Ars Magna 217

at least 29, 33

axiomatic method 186

B

β^α 144, 145, 160

B^A 159

bijection 65

binary decimal 132

binary expansion 45

binary sequences 137

binary series 45

bounded monotonic sequence 263

C

C 266

card(A) 23

Cantor, Georg 105, 189

Cardano 217

cardinality 22, 50

Cartesian product 17

CH 189

cluster point 264

codomain 39, 48

Cohen, Paul J. 186 collection of

all finite sets 266

collection of all sets 266

commutative property 147

composite numbers 7

composition 48

continuum 148

Continuum Hypothesis 189

countable 104

countable families 27

countable union 109

D

decimal number 137

degree 251

dense subset 105

discrete subset 105

disjoint 146

domain 39, 48

E

5

elements 3

empty set 3

Epimenides Paradox 276

equal cardinals 98

equal sets 11

equivalent sets 98

Euclid 186

Evariste Galois 218

F

factor 235

factorial 229

families 27

Field's Medal 186

finite cardinals 139

for all 29, 33, 59

for some 29, 33, 34

function ...