9780941524186

Philosophy and Unified Science

by
  • ISBN13:

    9780941524186

  • ISBN10:

    0941524183

  • Format: Hardcover
  • Copyright: 1999-06-01
  • Publisher: Lotus Pr
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Table of Contents

Acknowledgments xvii
Introduction xxi
David Lee Hilliker
Foreword: What This Book is About xxxi
Prologue: A Working Definition of Philosophy xxxv
Preface: The Philosophy of Science xliii
Introductory Essay: Science, Philosophy and the Analysis of Formal Structure
1(19)
A Formal Schematization: The Ontological Network
20(17)
Biophysical Foundations: The Homeostatic Calculus
37(7)
A Formalization of Epistemology: The Truth Relation
44(6)
Development of the Formal Operator: Symbolic Logic
50(10)
Mathematics: Functions and Identities
60(971)
elementary geometrical inference in astronomy
62(2)
Euclidean and Non-Euclidean space
64(3)
trigonometric identities
67(2)
quadratic equations, completing the square
69(1)
test for distinguishing functions and identities
70(1)
analytic geometry (algebraic geometry)
71(2)
differentiation
73(6)
interpretations of derivatives
79(2)
integration
81(2)
interpretations of the integral
83(2)
multiple integration in potential theory
85(3)
volume integrals
88(8)
trigonometric substitutions
96(3)
partial differentiation
99(560)
Development of the Contental Operand: General Science
Chemical Foundations: Thermodynamics and the Molecule
656(3)
Physics of the Interface: Thermodynamics
659(6)
first law of thermodynamics
665(1)
work
666(1)
gas laws
667(1)
molar gas constant
668(1)
temperature scale conversions
669(2)
enthalpy
671(2)
specific heat and gas constant
673(3)
adiabatic processes
676(1)
Carnot cycle
677(7)
entropy
684(2)
absolute zero
686(2)
Caratheodory's principle
688(6)
Gibbs' free energy and Helmholtz's work function
694(1)
entropy and isentropic processes
695(1)
adiabatic processes
696(3)
isothermal processes
699(2)
isobaric processes
701(1)
isometric processes
702(2)
process summary
704(3)
isobaric and isothermal processes
707(3)
chemical thermodynamics
710(3)
chemical entropy
713(2)
free energy calculations
715(5)
electrochemical cells
720(3)
isobaric and isometric processes
723(1)
reversible, isothermal processes
724(1)
van't Hoff's isotherm
725(3)
Nernst's equation
728(3)
rate constants and kinetics
731(2)
Gibbs-Helmholtz equations
733(2)
van't Hoff equation
735(1)
Arrhenius equation
736(3)
chemical kinetics, basic ideas of
739(2)
first order reaction
741(1)
second order reaction
742(3)
consecutive reactions
745(3)
periodic kinetics
748(6)
statistics mechanics
754(1)
Chemical Foundations: Thermodynamics and the Molecule (Continued)
derivation of Boltzmann-Maxwell formula
754(6)
derivation of Fermi-Dirac distribution
760(1)
derivation of Bose-Einstein distribution
761(3)
Planck's distribution
764(1)
derivation of Stefan-Boltzmann law
764(4)
Fluid Mechanics of Incompressible and Compressible Flow
768(1)
continuity equation
769(1)
Bernoulli`s law
770(3)
pressure loss
773(2)
Toricelli's law, example
775(1)
Poiseuille's equation
776(3)
surface tension and capillarity
779(2)
wetting and adhesion
781(3)
Nuclear Heat: Thermal Transfer and Nuclear Energy
784(1)
time constants and radioactivity
784(4)
radiocarbon dating
788(2)
binding energy, mass defect, nuclear energy
790(6)
thermal energy and transfer
796(3)
radiation and photochemistry
799(2)
Einstein's equation and mass defect
801(1)
critical ratio
802(1)
cyclotron summary
803(1)
Molecular Bond Energy: The Orbital
804(1)
light scatter
804(4)
infrared absorption
808(1)
nuclear magnetic resonance
809(2)
molecular orbital calculations
811(1)
position eigenfunctions
812(1)
momentum eigenfunctions
813(1)
energy eigenfunctions
813(2)
orthogonality
815(1)
normalization
815(2)
Heisenberg's ``indeterminacy''
817(1)
linear combinations of atomic orbitals
818(6)
LCAO, for hydrogen molecule-ion
824(2)
LCAO, for butadiene molecule
826(5)
Interactions between Radiation and Matter
831(2)
spectral analysis
833(1)
environmental simulation
834(4)
cross section and absorption coefficients
838(21)
six effects of absorbed radiation
859(1)
photoelectric effect
859(1)
Compton scatter
859(1)
derivation of Compton's equation
860(6)
pair production
866(1)
nuclear transformations
866(1)
chemical transformations
866(1)
thermal effects
867(1)
shield design
867(5)
shield design program
872(6)
complete example
878(7)
Biological Foundations: Polymer, Crystal and Cell
885(1)
unity of science, discussion
885(2)
debunkers and fashions
887(1)
organism tensor
888(1)
historical summary
889(3)
characteristics of biology
892(1)
homeostasis
893(2)
physiological function, in outline
895(3)
immunological behavior
898(3)
servo-systems and homeostasis
901(2)
biological motion
903(2)
psychology and psychiatry
905(4)
topological and vector psychology
909(2)
topological representation
911(1)
life space, Lewin's
912(1)
reality differentiation
913(3)
networks in psychology
916(3)
network examples and techniques
919(1)
networks and matrices
919(2)
minimum span tree
921(1)
minimum distance in networks
922(1)
PERT networks
923(2)
tensors in psychology
925(4)
tensors and ophthalmic centers
929(1)
Rorschach's test
930(6)
Rorschach summary and quantification
936(2)
Rorschach scoring formulas
938(1)
Rorschach scoring computer
939(7)
statistics philosophy
946(1)
statistics mean and variance
947(1)
statistics mean deviation
948(3)
statistics expectation
951(1)
statistics, standard error derived
952(2)
statistics and probability
954(1)
statistics, normal distribution
955(2)
statistics, Poisson distribution
957(3)
statistics estimation
960(2)
statistics sample size
962(2)
statistics ``tailed'' tests
964(4)
statistics, chi square
968(3)
statistics correlation
971(2)
statistics, Scoremaster program
973(4)
statistics, Chi Square program
977(2)
statistics, linear regression
979(1)
statistics, correlation coefficients
980(1)
statistics, multiple variate analysis
981(2)
Statistics, factor analysis
983(4)
Statistics, factor analysis example
987(6)
statistics, factor analysis program
993(6)
statistics, formula summary
999(10)
statistics, examples
1009(8)
statistics, gambling and dice
1017(3)
statistics; probability calculations
1020(1)
statistics, Bayes' theorem illustrated
1020(6)
statistics, Bernoulli's theorem illustrated
1026(5)
Conclusion and Integrative Summary: The Continuum of Applied Logic from Measurement to Aesthetic Construction
1031(14)
Summary of the Thesis: A Formal Synopsis
1045(24)
Postscript: Leibniz and the Philosophy of Science
1047(22)
Bibliographical List: Ideas and Techniques
1069(359)
TECHNICAL APPENDIX
Mathematical Summary of Godel's Proof
arithmetization of propositional calculus
1120(7)
arithmetically derived tautologies
1127(8)
codification of symbolic logic
1135(5)
Godel's proof, discussion
1140(1)
recursive definition, example
1141(2)
Units; Dimensions and Dimensional Analysis
unit ratios
1143(1)
unit conversion example
1144(4)
force and mass unit example
1148(3)
units, dimensions and conversions in mechanics
1151(5)
The Curvature Tensor and a Four Dimensional World
curvilinear coordinates
1156(1)
unit tangent and unit normal
1157(1)
contravariance and covariance
1158(1)
reciprocal vector systems
1158(1)
arc length
1159(2)
contravariant transformation
1161(4)
covariant transformation
1165(4)
velocity as a contravariant tensor
1169(1)
rotational transformation in tensor form
1169(2)
summation convention
1171(1)
matrix representation
1172(2)
mixed tensors
1174(1)
sums of tensors
1175(1)
outer multiplication of tensors
1176(1)
contraction of tensors
1176(1)
inner multiplication of tensors
1177(1)
conjugate tensors
1177(1)
associated tensors
1177(1)
Christoffel symbols
1178(1)
geodesics, derivation of
1178(7)
geodesics in Euclidean space
1185(2)
covariant differentiation
1187(1)
curvature tensor; derivation of
1188(2)
Einstein's law of gravity
1190(2)
Group Theory in Modern Physics
molecular isomers
1192(3)
optical antipodes
1195(1)
diastereoisomers
1195(1)
symmetry operations
1196(1)
groups, mathematical
1196(1)
symmetry groups
1197(1)
matrices and symmetry groups
1198(1)
group theory, and wave functions
1199(3)
Mathematical Ideas of Quantum Theory
Hamiltonian operator explained
1202(4)
Lagrange equation
1206(5)
Lagrangian analysis of pendulum
1211(2)
Hamiltonian and Lagrangian expressions related
1213(2)
calculus of variations
1215(8)
Hamilton's integral applied
1223(1)
catenary equation
1224(3)
brachistochrone problem
1227(7)
Laplace equation
1234(1)
heat flow
1234(2)
gravitation
1236(3)
vector generalization
1239(2)
Bessel's equation and Laplace's equation
1241(2)
Schrodinger equation and rotating dipoles
1243(11)
The Computer and its Program
computers, impact on science and philosophy
1254(8)
mathematical analysis with computers
1262(5)
program for investigating a function
1267(4)
mathematical applications
1271(2)
differential equation algorithm
1273(3)
Euler solution
1276(4)
nonlinear differential equation
1280(1)
Riemann integration algorithm
1281(7)
Lebesgue integration algorithm, numerical
1288(2)
Lebesgue integration, general
1290(3)
Stieltjes integration algorithm
1293(3)
series representation
1296(1)
Fourier analysis program
1297(2)
Fourier synthesis program
1299(4)
failure rate program example
1303(3)
machine language expression
1306(2)
Fortran expression
1308(1)
source languages
1309(3)
machine language
1312(1)
assembler language
1312(1)
Fortran IV
1312(1)
COBOL
1313(1)
PL/1
1314(2)
assembler program example
1316(1)
square root algorithm
1317(5)
Monte Carlo integration
1322(5)
Laplace Transform algorithm
1327(4)
algorithm organization chart
1331(2)
radiation program, shields
1333(8)
personnel coding algorithm
1341(14)
stock market averages program
1355(2)
mathematics of finance
1357(3)
amortization schedules
1360(5)
economics, mathematics of
1365(1)
monopoly and perfect competition
1365(5)
economics problems and solutions
1370(8)
operations research problems
1378(9)
cost, volume, income analysis
1387(1)
economics of curriculum planning
1388(2)
learning curve mathematics
1390(2)
Markov analysis and market share prediction
1392(3)
faculty planning and Markov analysis
1395(1)
faculty planning and queue analysis
1396(2)
networking techniques and curriculum
1398(6)
linear programming, demonstrated
1404(5)
simplex tableau, demonstrated
1409(7)
symbolic logic and arithmetic
1416(1)
number bases in counting
1417(1)
logic circuit example
1418(2)
the half-adder
1420(1)
the full adder
1421(2)
analogue feedback loop
1423(2)
analogue addition
1425(1)
analogue differentiation
1426(1)
analogue integration
1427(1)
analogue solution of differential equation
1427(1)
concluding remarks
1428

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