Here are the likely Dewey Decimal Classification (DDC) numbers added in parentheses for each topic:
Mathematics/Logic Spectrum
– Pure Math: Set theory (511), graph theory (519.2), algebra (512), geometry (516), topology (514), calculus (515), analysis (515)
– Applied Math: Numerical analysis (510), statistics (519.5), probability (519.2), optimization (519.7), control theory (629.8)
– Formal Logic: Propositional logic (160), predicate logic (160), proof theory (511.3)
Natural Sciences Spectrum
– Physics: Mechanics (531), electrodynamics (537), thermodynamics (536), optics (535), relativity (530.11), quantum mechanics (530.12)
– Chemistry: Organic chemistry (547), inorganic chemistry (546), analytical chemistry (543), physical chemistry (541), biochemistry (572)
– Biology: Molecular biology (572), genetics (576), biochemistry (572), physiology (612), anatomy (611), ecology (577), evolution (576.8)
– Earth Sciences: Geology (550), meteorology (551.5), oceanography (551.46), climatology (551.6), paleontology (560), astronomy (520)
Social Sciences Spectrum
– Psychology: Cognitive (153), social (302.5), developmental (155.4), clinical (616.89), behavioral (155.7)
– Sociology: Theory (301), demography (304.6), criminology (364), social groups (305), institutions (301.04)
– Anthropology: Cultural (306), linguistic (306.44), archaeological (930.1), biological (599), social (301.01)
– Economics: Microeconomics (330.4), macroeconomics (339.5), game theory (330.01), behavioral (330.019)
– Political Science: Political theory (320), comparative politics (320.9), international relations (327)
Humanities Spectrum
– History: Cultural (900), art (704), economic (330.9), political (320), military (355)
– Philosophy: Metaphysics (110), epistemology (121), ethics (170), aesthetics (701), logic (160)
– Literature: Poetry (808.1), novels (823), drama (822), literary theory (801.95), criticism (801)
– Languages: Linguistics (410), semiotics (302.2), translation (418), interpretation (418)
– Arts: Music theory (780.1), visual arts theory (701), theater (792), dance (793)
Applied Fields Spectrum
– Engineering: Mechanical (620), electrical (621.3), civil (624), chemical (660), biomedical (610)
– Computer Science: Theory (004), software (005.3), systems (004.35), AI (006.3), HCI (006.3)
– Medicine: Anatomy (611), physiology (612), pathology (616), diagnosis (616.07), treatment (615)
– Business: Management (658), marketing (658.8), finance (332), accounting (657), operations research (658.4)
– Education: Learning theories (370.15), instructional design (371.3), assessment (371.26), policy (379.1)
Interdisciplinary Fields Spectrum
– Cognitive Science: Psychology (150), neuroscience (612.8), linguistics (410), philosophy (128), computer science (006.3)
– Environmental Studies: Biology (333.7), earth sciences (333.7), economics (333.7), policy (363.7), ethics (179)
– Science and Technology Studies: History (509), philosophy (501), sociology (306.4) of science and technology
– Bioethics: Biology (174), medicine (174), philosophy (174), law (174), policy (363.192)
– Digital Humanities: Humanities (020.285), computer science (004), information science (020.285), librarianship (020.285)