Logical Physics

One / The General Theory of Inference and Terms.- 1. The Rules of Logic.- 2. Terms.- 3. Two Types of Terms.- 4. Simple and Complex Terms.- 5. Complex Terms.- 6. Occurrence of Terms and Statements in Other Terms and Statements.- 7. Metaterms and Metastatements.- 8. The Meaning of Terms.- 9. Terms Including Statements.- 10. Definitions.- 11. Statements.- 12. The Meaning of Statements.- 13. Definitions with Statements.- 14. The Definition of Predicates.- 15. The Truth Values of Statements.- 16. The Number of Truth Values.- 17. The Coordinates of Statements.- 18. Truth Value for Statements with Conjunction, Disjunction and Negation Operators.- 19. Truth Values of Other Forms of Statements.- 20. Tautology, Contradictions, Realizable Statements.- 21. Deduction.- 22. Logical Inference.- 23. The General Theory of Deduction.- 24. Classical and Non-Classical Cases in the Theory of Inference.- 25. The Rules of Inference and the Truth Values of Statements.- 26. Identity by Meaning and Entailment.- 27. The General Theory of Terms.- 28. The Coordinates of Statements.- 29. Consequences of Definitions.- 30. Implicit Definitions.- 31. Incomplete Definitions.- 32. Pseudodefinitions.- 33. Operational Definitions.- 34. Intuitively Obvious Statements.- 35. Variables.- 36. Definitions with Variables.- 37. The Multiple Meanings of Linguistic Expressions.- 38. Explication.- 39. Consistency of Terms.- Two / The Special Theory of Inference and Terms.- 1. The Logical Explication of Terms.- 2. Empirical and Abstract Objects.- 3. Individuals.- 4. Classes (Sets).- 5. Clusters.- 6. States, Events.- 7. Existence.- 8. Quantifiers and Existence.- 9. Modal Predicates.- 10. Possibility.- 11. Contingent Events.- 12. Fatalism.- 13. Modal Operators.- 14. The Actual, the Existential, the Potential.- 15. The Measurement of Possibility.- 16. Relations.- 17. Comparison Relations.- 18. Order Relations.- 19. The Relation'Between'.- 20. The Existence of Relations.- 21. Ordered Series.- 22. Contact.- 23. Continuity and Discontinuity of an Empirical Series.- 24. The Beginning and End of a Series.- 25. Interval.- 26. Length.- 27. Abstract Series.- 28. Finite and Infinite Series.- 29. Structure.- 30. Existence of a Structure.- 31. The Dimensions and Order of Structures.- 32. Correspondence.- 33. Correspondence of Classes.- 34. Functions.- 35. Ordered States.- 36. Conditional Statements with an Order-Relation.- 37. Functional Dependence.- 38. Connections.- 39. Ordering of Classes.- Three / Number, Magnitude, Quantity.- 1. Numbers in the Language.- 2. Numbers as Terms.- 3. Base Arithmetic.- 4. The Abbreviated Form of NB.- 5. The Universal Nature of Arithmetic.- 6. Expanded Arithmetic (EA).- 7. Infinite Numbers.- 8. Formal Arithmetic with Metastatements.- 9. Formal Arithmetic and the Theory of Numbers.- 10. Number-Terms.- 11. The Existence of Numbers.- 12. Number as a Part of a Subject.- 13. Quantity.- 14. The Degrees and Range of Truth.- 15. Measurement and Definition.- 16. Number-Quantifiers.- 17. Amount.- 18. The Standard Classes of Numbers.- 19. The Cardinality of Classes of Numbers.- 20. Comparison of Cardinalities of Classes.- 21. Other Definitions.- 22. Reducibility to Logic.- 23. A Remark on the Class of Positive Integers.- 24. A Remark on a Paradox with the Number Terms.- Four / Logical Physics.- 1. On the Method of Presentation of Logic.- 2. Empirical Individuals.- 3. Variation.- 4. The Transition State.- 5. Space and Time.- 6. Spatial and Temporal Relations.- 7. The Time and Space of Existence of an Empirical Individual.- 8. The Existence of Space and Time.- 9. The Spatial and Temporal Location of an Individual.- 10. One and the Same Individual.- 11. Change in Space and Time.- 12. The Irreversibility of Time.- 13. On the Relation of Generation.- 14. The Continuity of Space and Time.- 15. In variance of Space and Time.- 16. Identity and Difference of Location and Time.- 17. The Predication of Variations.- 18. Translation, Change of Place (Movement).- 19. The Paradox of Motion.- 20. Process.- 21. Minimal Dimensions.- 22. On Infinite Dimensions.- 23. Rate.- 24. Zeno's Paradoxes.- 25. Quanta of Space, Time and Motion.- 26. The Relativity of Motion.- 27. On the Existence and Motion of Clusters.- 28. The Beam.- 29. The Universe as a Whole.- 30. Empirical Geometry.- 31. Empirical Connections.- 32. The Predicates of Tendencies.- 33. Paradoxes of Connections.- 34. Conditional Predicates.- 35. Influence.- 36. Cause.- 37. Forms of Causal Relations.- 38. Determinism and Indeterminism.- 39. Other Forms of Connections.- 40. On the Logical Situation in Microphysics.- 41. The Wave-Particle Duality.- 42. The Trajectory.- 43. The Part and the Whole.- 44. Forecasts.- 45. The Hypothetical Ontology.- 46. General Assertions Concerning the Universe and Physical Assumptions.- 47. Generalizations of the Results of Science.- I. Epistemic Expressions.- II. On the Concept of Belief.- III. On the Notion of Preference.- IV. On the Logic of Norms and Questions.- V. On the Logic of Estimates.- VI. On the Theory of Proof.- VII. On Complete (Rigorous) Induction.- VIII. On Logical Consistency.- IX. On the Systems of the Logic of Classes.- Glossary of Symbols.