Nature of Aid to geometry 1647
Nature of Gauss on 1644
Nature of m. Chapter II (see also 815 1215 1308 1426 1525 1628)
Nature of Mystery in 1648
Nature of Notation in 1646
Nature of Smith on 1645
Nature, Study of 433—436 514 516 612
Navigation and m. 1543 1544
Necessary truths like 1966
Necessary truths like, Golden 2142
Necessary truths like, Magic 2143
Necessary truths like, Odd 2138—2141
Necessary truths like, Round 2137
Nelson, Anagram on 2153
Neptune, discovery of 1554 1559
Newcomb, On geometrical paradoxers 2113
Newton, Anagrams on 1028
Newton, And alchemy 1016 1017
Newton, And Gauss compared 827
Newton, Arago on 1006
Newton, As a lecturer 1019
Newton, As an accountant 1020
Newton, Compared with Euclid 1827
Newton, Discovery of the calculus 1027
Newton, Emerson on 1003
Newton, Estimate of himself 1023—1026
Newton, Gauss’s estimate of 1029
Newton, Geometry a mechanical science 1866
Newton, Hill on 1009
Newton, His absent-mindedness 1022
Newton, His fame 1002
Newton, His first experiment 1018
Newton, His genius 1014
Newton, His interest in chemistry and theology 1015
Newton, His memorandum-book 1021
Newton, His method of work 1026
Newton, Importance of his work 333
Newton, Lagrange on 1011
Newton, Leibnitz on 1010
Newton, Method of Fluxions 1902
Newton, No monument to 1012
Newton, On correlation in m. 626
Newton, On geometry 1811
Newton, On problems in algebra 630
Newton, Pope on 1007
Newton, Southey on 1008
Newton, Test of simplicity 1892
Newton, Whewell on 1004 1005
Newton, Wilson on 1012 1013
Newton’s rule 1743
Nile, Origin of name 2150
Noether, On Cayley 931
Noether, On Sylvester 1034 1041
Non-Euclidean geometry 1322 2016—2029 2033 2035 2040
Nonnus, On the mystic four 2148
Northrup, On Lord Kelvin 1048
Notation, Advantage of math. 1220 (see also Symbolism)
Notation, Criterion of good 1216
Notation, Importance of 634 1222 1646
Notation, On Arabic 1217 1614
Notation, Value of algebraic 1213 1214
Notions, Cardinal of m. 110
Notions, Indefinable 1219
Novalis, Definition of pure m. 112
Novalis, M. and historic science 1699
Novalis, M. and magic 2169
Novalis, M. and miracles 2160
Novalis, M. and science 1607 1626
Novalis, M. the life supreme 329
Novalis, Math’ns not good computers 810
Novalis, Method is the essence of m 806
Novalis, Music and algebra 1128
Novalis, Philosophy and m. 1406
Novalis, Without enthusiasm no m. 801
Number, Aeschylus on 1606
Number, And nature 1603
Number, And superstition 1632
Number, Definition of 1609 1610
Number, Distinctness of 1707
Number, Every inquiry reducible to a question of 1602
Number, Of the beast 2151 2152
Number, Regulates all things 1605
Number-theory, The queen of m. 975
Number-work, Purpose of 1623
Numbers, Aptitude for 1617
Numbers, Demonstrations in 1630
Numbers, Mighty are 1568
Numbers, prime 1648
Numbers, Pythagoras’ view of 321
Obscurity in m. and philosophy 1407
Observation in m. 251—253 255 433 1830
Obviousness in m. 985 986 1045
Olney, On the nature of m. 263
Oratory and m. 829 830
Order and arrangement 725
Origin of m. 1412
Orr, Memory verse for 2127
Osgood, On the calculus 1913
Ostwald, Memory verse for 2127
Ostwald, On four-dimensional space 2039
Pacioli, On the number three 2116
Painting and m. 1103 1107
Papperitz, On the object of pure m. 111
Paradoxes Chapter XXI
Parallel axiom, Proof of 984 2110 2111
Parker, Definition of arithmetic 1611
Parker, Number bom in superstition 1632
Parker, On geometry 1806
Parton, On Newton 1917—1919 1021 1022 1827
Pascal, Logic and m. 1306
Peacock, On the mysticism of Greek philosphers 2136
Peacock, The number of the beast 2162
Peacock, The Yankos word for three 2114
Pearson, M. and natural selection 831
Peirce, Benjamin, Definition of m. 120
Peirce, C. S. Definition of m. 133
Peirce, Logic dependent _on m. 1301
Peirce, M. as an arbiter 210
Peirce, On accidental relations 2128
Peirce, On the symbol l 1733
Perry, On the teaching of m. 610 611 619 837
Persons and anecdotes Chapters IX and X.
Philosophy and m. Chapter XIV (see also 332 401 414 444 445 452)
Physics and m. 129 437 1516 1530 1535 1538 1539 1548 1549 1550 1555 1556
Physiology and m. 1578 1581 1582
Picard, On the use of equations 1891
Pierce, On infinitesimals 1940
Pierpont, Characteristics of modem m. 717
Pierpont, Golden age of m. 701
Pierpont, On divergent series 1937
Pierpont, On the progress of m. 708
Pierpont, On variability 721
Plato, AnaArchytas 1427
Plato, And Archimedes 904
Plato, Diagonal of square 1411
Plato, God geometrizes 1635 1636 1702
Plato, His conic sections 332
Plato, His view of m. 316 429
Plato, M. a study suitable for freemen 317
Plato, M. and the arte 1667
Plato, On arithmetic 1620 1621
Plato, On geometry 429 1803 1804 1806 1844 1846
Plato, On the value of m. 1674
Plato, Union of math, and philosophical productivity 1404
Pleasure, Element of in m. 1622 1629 1848 1850 1851
Pliny 2039
Plus and minus signs 1727
Plutarch, God geometrizes 1802
Plutarch, On Archimedes 903 904 908—910 912
PoE 417
| Poetry and m., Emerson on 1124
Poetry and m., Hill on 1125 1126
Poetry and m., Hoffman on 1122
Poetry and m., Milner on 1118
Poetry and m., Pollock on 1121
Poetry and m., Pringsheim on 1108
Poetry and m., Shakespeare on 1127
Poetry and m., Thoreau on 1123
Poetry and m., Weierstrass on 802
Poetry and m., Wordsworth on 1117
Poetry and m., Workman on 1120
Poincar 6
Poincar, Geometry not an experimental science 1867
Poincar, M. as a language 1208
Poincar, M. has a triple end 1102
Poincar, On elegance in m. 640
Poincar, On geometrical axioms 2006
Point 1816
Political science, M. and 1201 1324
Politics, Math’ns and 814
Pollock, On Clifford 938—941 1121
Pope 907 2016 2031 2046
Precision in m. 228 639 728
Precocity in m. 835
Predicabilia a priori 2003
Press, M. ignored by daily 731 732
Price, Characteristics of m. 247
Price, On m. and physics 1660
Prime numbers, Sylvester on 1648
Principia Mathematica 1326
Pringsheim, M. should be studied for its own sake 439
Pringsheim, M. the science of the self-evident 232
Pringsheim, Math’n somewhat of a poet 1108
Pringsheim, On m. and journalism 732
Pringsheim, On m. and physics 1648
Pringsheim, On math’ns in public service 824
Pringsheim, On music and m. 1132
Pringsheim, On rigor in m. 636
Pringsheim, On the indirect value of m 448
Pringsheim, On the language of m. 1211
Probabilities 442 823 1589 1590—1592 1962—1972 1975
Probability and Christianity 1976
Probability and Christianity, On Pythagoras and the regular solids 2132
Problem solving 531 532
Problems, Aid to research 644
Problems, In algebra 530
Problems, In arithmetic 528
Problems, In Cambridge texts 608
Problems, In m. 523 534
Problems, Of modem m. 1926
Problems, On importance of 624 628
Problems, On solution of 611
Problems, Should be simple 603
Problems, What constitutes good 629
Proclus, On characteristics of geometry 1869
Proclus, Ptolemy and Euclid 95
Progress in m. 209 211 212 216 218 702—705 708
Projective geometry 1876 1877 1879 1880
Proportion, Euclid’s definition of 1835
Proportion, Euclid’s doctrine of 1834
Proposition 1219 1419
Prussia, M. in 513
Pseudomath, Defined 2101
Psychology and m. 1576 1583 1584
Ptolemy and Euclid 951
Public service, M. and 823 824 1303 1574
Public speaking M. and 420 829 830
Publications, Math, of present day 702 703
Pure M., Bacon’s definition of 106
Pure M., Hobson’s definition of 118
Pure M., Novalis’ conception of 112
Pure M., On the object of 111 129
Pure M., Russell’s definition of 127 128
Pure M., Whewell’s definition of 107
Pursuit of m. 842
Pythagoras, Number the nature of things 321
Pythagoras, The number four 2147
Pythagoras, Union of math, and philosophical productivity 1404
Pythagorean brotherhood, Motto of 1833
Pythagorean Theorem 1854—1856 2026
Pythagoreans, Music and M. 1130
Quadrature (see Squaring of the circle)
Quantity, Chrystal’s definition of 116
Quarles, On quadrature 2116
Quaternions 333 841 937 1044 1210 1718—1726
Quetelet, Growth of m. 1614
Railway-making 1570
Reading of m. 601 604—606
Reason, M. demonstrates supremacy of human 309
Reason, M. most solid fabric of human 308
Reasoning, M. a type of perfect 307
Reasoning, M. as an exercise in 423—427 429 430 1503
Recorde, Value of arithmetic 1619
Regiomontanus 1543
Regular solids 2132—2135
Reid, Conjecture has no place in m. 234
Reid, M. frees from sophistry 216
Reid, M. manifests what is impossible 1414
Reid, M. the most solid fabric 308
Reid, On Euclid’s elements 966
Reid, On m. and philosophy 1423
Reidt, M. as an exercise in language 419
Reidt, On aim in math, instruction 606
Reidt, On the ethical value of m. 466
Religion and m. 274—276 459 460 1013
Research in m. Chapter VI.
Reversible verses 2156
Reye, Advantages of modem over ancient geometry 714
Rhetoric and m. 1599
Riemann, On m. and physics 1549
Rigor in m. 535—538
Rosanes, On the unpopularity of m. 730
Royal road 201 901 951 1774
Royal science, M. a 204
Rudio, M. and great artists 1106
Rudio, On Euler 967
Rudio, On m. and navigation 1643
Rush, M. cures predisposition to anger 468
Russell, Chief triumph of modem m. 706
Russell, Definition of infinite collection 1969
Russell, Definition of m. 127 128
Russell, Definition of number 1609
Russell, Fruitful uses of imaginaries 1736
Russell, Geometrical reasoning circular 1861
Russell, On beauty in m. 1104
Russell, On Boole’s Laws of Thought 1318
Russell, On geometry and philosophy 1410
Russell, On nineteenth century m. 706
Russell, On non-euclidean geometry 2018
Russell, On projective geometry 1879
Russell, On proofs of axioms 2013
Russell, On the infinite 723
Russell, On the value of symbols 1219
Russell, Principia Mathematica 1326
Russell, Zeno’s problems 1938
Safford, On aptitude for m. 620
Safford, On m. and science 1609
Sage, Battalions of figures 1631
Sartorius, Gauss on the nature of space 2034
Scepticism 452 811
Schellbach, Estimate of m. 306
Schellbach, On truth 1114
Schiller, Archimedes and the youth 907
Schopenhauer, Arithmetic rests on the concept of time 1613
Schopenhauer, Predicabilia a priori 2003
Schroder, M. as a branch of logic 1323
Schubert, Characteristics of m. 263
Schubert, M. an exclusive science 734
Schubert, On controversies in m. 243
Schubert, Three characteristics of m. 229
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