LEVEL 5
TEN: BRANCHES OF KNOWLEDGE
I. Logic
10/11. History and philosophy of logic
A. HISTORY OF LOGIC(11:56-72)
B. PHILOSOPHY OF LOGIC(11:72-77)
10/12. Formal logic, metalogic, and applied logic
A. FORMAL LOGIC(11:38-56)
3. SYLLOGISTIC(17:890-898)
B. METALOGIC(11:1078-1085)
C. APPLIED LOGIC(11:28-38)
1. a. RHETORIC(15:803-805)
II. Mathematics
10/21. History and foundations of mathematics
A. HISTORY OF MATHEMATICS(11:639-670)
B. FOUNDATIONS OF MATHEMATICS(11:630-639
10/22. Branches of mathematics
A. SET THEORY(16:569-575)
B. 1. ARITHMETIC(1:1171-1178)
2. ELEMENTARY AND MULTIVARIATE ALGEBRA(1:499-506)
3. LINEAR AND MULTILINEAR ALGEBRA(1:507-518)
4. ALGEBRAIC STRUCTURES(1:518-557)
C. 1. EUCLIDIAN GEOMETRY(7:1099-1112)
2. NON-EUCLIDIAN GEOMETRY(7:1112-1120)
3. PROJECTIVE GEOMETRY(7:1120-1125)
4. ANALYTIC AND TRIGONOMETRIC GEOMETRY(7:1076-1093)
6. DIFFERENTIAL GEOMETRY(7:1093-1099)
7. ALGEBRAIC GEOMETRY(7:1070-1076)
D. 1. REAL ANALYSIS(1:772-791)
2. COMPLEX ANALYSIS(1:719-735)
3: DIFFERENTIAL EQUATIONS(5:736-767)
4. FUNCTIONAL ANALYSIS(1:757-771)
5. FOURIER ANALYSIS(1:735-757)
6. THEORY OF PROBABILITY(14:1104-1115)
7. VECTOR AND TENSOR ANALYSIS(1:791-799)
E. 1. COMBINATORICS AND COMBINATORIAL GEOMETRY(4:942-953)
2. NUMBER THEORY(13:258-280)
F. 1. GENERAL TOPOLOGY(18:509-514)
2. TOPOLOGICAL GROUPS AND DIFFERENTIAL TOPOLOGY(18:489-504)
3. ALGEBRAIC TOPOLOGY(18:504-509)
10/23. Applications of mathematics
A. MATHEMATICS AS A CALCULATORY SCIENCE(11:671-696)
B. STATISTICS(17:615-623)
C. NUMERICAL ANALYSIS(13:381-392)
D. AUTOMATA THEORY(2:497-505)
E. MATHEMATICAL THEORY OF OPTIMIZATION(13:621-637)
F. INFORMATION THEORY(9:1574-580)
G. MATHEMATICAL ASPECTS OF PHYSICAL THEORIES(14:392-423)
III. Science
10/31. History and philosophy of science
A. HISTORY OF SCIENCE(16:366-375)
B. PHILOSOPHY OF SCIENCE(16:375-393)
3. b. i. THEORY OF MEASUREMENT(11:739-745)
iii. CLASSIFICATION THEORY(4:691-694)
10/32. Physical sciences
A. HISTORY OF PHYSICAL SCIENCES(14:384-391)
B. ASTRONOMY AND ASTROPHYSICS(2:245-254)
C. PHYSICS(14:424-429)
5. b. BIOPHYSICS(1:1034-1037)
6. PHILOSOPHY OF NATURE(12:869-872)
D. CHEMISTRY(4:166-175)
5. a. BIOCHEMISTRY(2:993-997)
c. CHEMICAL ENGINEERING(4:124-125)
10/33. Earth sciences
A. EARTH SCIENCES(6:73-90)
B. 1. GEOGRAPHY(7:1045-1052)
2. GEOLOGICAL SCIENCES(7:1053-1065)
3. HYDROLOGIC SCIENCES(9:116-125)
4. ATMOSPHERIC SCIENCES(2:320-330)
10/34. Biological sciences
A. BIOLOGICAL SCIENCES(2:1016-1026)
B. BIOLOGICAL SCIENCES(2:1014-1016)
3. a. BIOCHEMISTRY(2:993-997)
b. BIOPHYSICS(2:1034-1037)
c. GENETICS(7:994-996)
4. b. MICROBIOLOGY(12:109-114)
5. a. BOTANY(3:65-70)
b. ECOLOGY(6:197-200)
e. EUGENICS(6:1023-1026)
h. MORPHOLOGY(12:451-456)
j. PHYSIOLOGY(14:435-440)
k. PSYCHOLOGY(15:149-151)
l. ZOOLOGY(19:1163-1169)
6. d. ECOLOGY(6:197-200)
C. PHILOSOPHY OF NATURE(12:872-876)
10/35. Medicine and affiliated disciplines
A. HISTORY OF MEDICINE(11:823-840)
B. 1. a. RADIOLOGY(15:457-467)
b. SURGERY(17:816-823)
2. a. AEROSPACE MEDICINE(1:142-147)
b. MEDICAL JURISPRUDENCE(11:812-815)
3. b. HUMAN NUTRITION AND DIET(13:417-427)
C. 1. DENTISTRY(5:592-597)
2. OSTEOPATHIC MEDICINE(13:765-766)
3. NURSING(13:395-400)
4. PHARMACY(14:203-204)
10/36. Social sciences and psychology
A. HISTORY OF SOCIAL SCIENCES(16:980-990)
B. ANTHROPOLOGY(1:968-975) C. SOCIOLOGY(16:994-1001)
5. a. CRIMINOLOGY(5:282-285)
b. PRISONS AND PENOLOGY(14:1097-1103)
c. SOCIAL PSYCHOLOGY(15:163-166)
d. DEMOGRAPHY(5:575-577)
e. GEOGRAPHY(7:1045-1052)
D. ECONOMICS(6:264-273)
3. b. ECONOMETRICS(6:200-201)
d. PRINCIPLES OF ACCOUNTING(1:36-42)
E. POLITICAL SCIENCE(14:702-706)
3. g. THEORIES OF INTERNATIONAL RELATIONS(9:780-785)
h. POLITICAL SYSTEMS(14:728-730)
F. 1. HISTORY OF PSYCHOLOGY(15:151-158)
2. PSYCHOLOGY(15:149-151)
3. a. PHYSIOLOGICAL PSYCHOLOGY(15:158-159)
b. SOCIAL PSYCHOLOGY(15:163-166)
10/37. Technological sciences
A. TECHNOLOGICAL SCIENCES(18:19-21)
B. ENGINEERING(6:860-862)
5. a. CIVIL ENGINEERING(4:654-656)
b. AERONAUTICAL ENGINEERING(1:129-131)
c. CHEMICAL ENGINEERING(4:124-125)
d. ELECTRICAL AND ELECTRONICS ENGINEERING(6:535-537)
e. MECHANICAL ENGINEERING(11:755-756)
f. OPTICAL ENGINEERING(13:603-608)
C. AGRICULTURAL SCIENCES(1:322-324)
D. 1. BIONICS(2:1032-1034)
IV. History and the humanities
10/41. Historiography and the study of history
A. HISTORIOGRAPHY AND HISTORICAL METHODOLOGY(8:945-960)
B. 2. a. i. ANTHROPOLOGY(1:968-975)
ii. ARCHEOLOGY(1:1078-1082)
iii. BIBLIOGRAPHY(2:978-981)
iv. CHRONOLOGY(4:572-582)
v. DIPLOMATICS(5:807-813)
vi. EPIGRAPHY(6:915-924)
vii. GENEALOGY(7:991-993)
viii. GEOGRAPHY(7:1035-1052)
xi. LINGUISTICS(10:992-1012)
xii. PALEOGRAPHY(13:911-914)
xiv. SIGILLOGRAPHY(16:741-743)
xv. TEXTUAL CRITICISM(18:189-195)
C. PHILOSOPHY Of HISTORY(8:961-965)
10/42. Humanities and humanistic scholarship
A. HISTORY OF HUMANISTIC SCHOLARSHIP(8:1170-1179)
B. HUMANITIES(8:1179-1183)
V. Philosophy
10/51. Nature and divisions of philosophy
B. 1. METAPHYSICS(12:10-35)
2. PHILOSOPHY OF NATURE(12:865-876)
c. i. TIME(18:410-420)
3. EPISTEMOLOGY(6:925-947)
4. PHILOSOPHY OF MIND(12:224-233)
5. PHILOSOPHICAL ANTHROPOLOGY(1:975-985)
6. ETHICS(6:976-997)
7. POLITICAL PHILOSOPHY(14:684-696)
8. AESTHETICS(1:149-162)
10/52. History of philosophy
B. HISTORY OF WESTERN PHILOSOPHY(14:250-274)
C. 1. INDIAN PHILOSOPHY(9:313-334)
2. CHINESE PHILOSOPHY(4:415-421)
3. JAPANESE PHILOSOPHY(10:100-109)
D. 1. INDIAN PHILOSOPHY(9:313-317)
2. BUDDHIST PHILOSOPHY(3:425-431)
3. CONFUCIANISM(4:1091-1099)
4. TAOISM(17:1036-1039)
5. JEWISH PHILOSOPHY(10:208-216)
6. ISLAMIC THEOLOGY AND PHILOSOPHY(9:10118-1025)
7. CHRISTIAN PHILOSOPHY(4:555-562)
10/53. Philosophical schools and doctrines
A. 1. a. PYTHAGOREANISM(15:322-326)
b. SOPHISTS(17:11-14)
c. ELEATICISM(6:525-527)
d. ATOMISM(2:346-351)
e. PLATONISM AND NEOPLATONISM(14:539-545)
f. ARISTOTELIANISM(1:1155-1161)
g. STOICISM(17:698-701)
h. EPICUREANISM(6:911-913)
i. SKEPTICISM(16:830-834)
j. SCHOLASTICISM(16:352-357)
2. a. CARTESIANISM(3:968-970)
b. EMPIRICISM(6:766-770)
c. RATIONALISM(15:527-532)
d. MATERIALISM(11:611-614)
e. KANTIANISM(10:395-398)
f. IDEALISM(9:189-193)
g. HEGELIANISM(8:732-738)
h. UTILITARIANISM(19:1-3)
i. POSITIVISM AND LOGICAL EMPIRICISM(14:877-882)
j. MARXISM(11:553-560)
k. REALISM(15:539-543)
l. PRAGMATISM(14:940-944)
m. PHENOMENOLOGY(14:210-215)
n. EXISTENTIALISM(7:73-78)
o. ANALYTIC AND LINGUISTIC PHILOSOPHY(1:799-807)
B. 1. METAPHYSICS(12:23-26)
f. i. ATOMISM(2:346-351)
2. PHILOSOPHY OF RELIGION(15:592-603)
a. AGNOSTICISM(1:311-314)
b. ATHEISM(2:258-262)
c. DEISM(5:561-563)
f. PANTHEISM AND PANENTHEISM(13:948-954)
g. THEISM(18:265-269)
3. PHILOSOPHICAL ANTHROPOLOGY(1:979-984)
a. EXISTENTIALISM(7:73-78)
c. PHENOMENOLOGY(14:210-215)
d. PRAGMATISM(14:940-944)
e. RATIONALISM(15:527-532)
4. PHILOSOPHY OF MIND(12:229-231)
a. MATERIALISM(11:611-614)
C. EPISTEMOLOGY(6:925-947)
1. c. IDEALISM(9:189-193)
d. REALISM(15:539- 542)
2. a. KANTIANISM(10:395-398)
b. POSITIVISM AND LOGICAL EMPIRICISM(14:877-882)
c. PRAGMATISM(14:940-944)
d. SKEPTICISM(16:830-834)
3. a. RATIONALISM(15:527-532)
b. EMPIRICISM(6:766-770)
5. PHILOSOPHY OF SCIENCE(16:375-393)
D. ETHICS(6:980-997)
2. a. iii. EXISTENTIALISM(7:76-77)
b. i. UTILITARIANISM(19:1-3)
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