Chapter III: Part II: Logic, the Science of the Manifold, and Mathematics 61

19. The Most General Concept 61

20. Association 63

21. The Group 65

22. Negation 68

23. Artificial and Natural Groups 69

24. Arrangement of the Members 75

25. Numbers 78

26. Arithmetic, Algebra, and the Theory of Numbers 79

27. Co-ordination 80

28. Comparison 82

29. Numbers 85

30. Signs and Names 86

31. The Written Language 89

32. Pasigraphy and Sound Writing 92

33. Sound Writing 96

34. The Science of Language 97

35. Continuity 101

36. Measurement 107

37. The Function 109

38. The Application of the Functional Relation 112

39. The Law of Continuity 113

40. Time and Space 118

41. Recapitulation 124

PART III

THE PHYSICAL SCIENCES 127

42. General 127

43. Mechanics 128

44. Kinetic Energy 132

45. Mass and Matter 136

46. Energetic Mechanics 138

47. The Mechanistic Theories 140

48. Complementary Branches of Mechanics 144

49. The Theory of Heat 147

50. The Second Fundamental Principle 150

51. Electricity and Magnetism 154

52. Light 156

53. Chemical Energy 159

PART IV

THE BIOLOGIC SCIENCES 163

54. Life 163

55. The Storehouse of Free Energy 168

56. The Soul 171

57. Feeling, Thinking, Acting 174

58. Society 179

59. Language and Intercourse 182

60. Civilization 184

INDEX 187