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Principia Mathematica to *56
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I. Mathematical Logic
A. The Theory of Deduction
B. Theory of Apparent Variables
C. Classes and Relations
D. Logic of Relations
E. Products and Sums of Classes
II. Prolegomena to Cardinal Arithmetic
A. Unit Classes and Couples
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An Introduction to Symbolic Logic
An Introduction to Symbolic LogicSusanne K. LangerI. The Study of Forms
II. The Essentials of Logical Structure
III. The Essentials of Logical Structure (continued)
IV. Generalization
V. Classes
VI. Principal Relations Among Classes
VII. The Universe of Classes
VIII. The Deductive System of Classes
IX. The Algebra of Logic
X. Abstraction and Interpretation
XI. The Calculus of Propositions
XII. The Assumpions of Principia Mathematica
XIII. Logistics
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Introduction to Symbolic Logic and Its Applications
Introduction to Symbolic Logic and Its ApplicationsRudolf CarnapI. System of symbolic logic
A. The simple language A
B. The language B
C. The extended language C
II. Application of symbolic logic
D. Forms and methods of the construction of languages
E. Axiom systems (ASs) for set theory and arithmetic
F. Axiom systems (ASs) for geometry
G. ASs of pysics
H. ASs of biology
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Introduction to Mathematical Logic
Introduction to Mathematical LogicJ. MalitzI. An Introduction to Set Theory
II. An Introduction to Computability Theory
III. An Introduction to Model Theory
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Nonstandard Analysis
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2. Standardization and Transfer
3. Real Numbers and Numerical Functions
4. Continuity
5. Differentiability
6. Integration
7. Invariant Means
8. Approximation of Functions
9. Differential Equations
10. Pertubation of a Green Function
11. Invariant Subspaces Problem
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Inleiding in de Mathesis
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2. Differentiaalrekening
3. Complexe getallen
4. Hogere machtsvergelijkingen
5. Omhulden
6. Oneindige verzamelingen en haar afbeeldingen
7. Oneindige reeksen
8. De reeks van Taylor
9. Primitieve functies
10. Integraalrekening
11. Determinanten, lineaire vergelijkingen, eliminanten
12. Enkele meetkundige eigenschappen
13. Puntenparen en kegelsneden
14. Gewone en singuliere punten van vlakke krommen
15. Elementaire analyti...
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The Mathematical Experience
The Mathematical ExperiencePhilip J. Davis, Reuben Hersh1. The Mathematical Landscape
2. Varieties of Mathematical Experience
3. Outer Issues
4. Inner Issues
5. Selected Topics in Mathematics
6. Teaching and Learning
7. From Certainty to Fallibility
8. Mathematical Reality
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De kernproblemen van de filosofie
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II. Betekenis en gezond verstand
III. Filosofische analyse
IV. Het probleem van de waarneming
V. De opbouw van de fysische wereld
VI. Lichaam en geest
VII. Feiten en verklaringen
VIII. Regel en kans
IX. Logica en bestaan
X. De aanspraken van de theologie
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De troost van de filosofie
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II. Geldzorgen
III. Frustratie
IV. Onmacht
V. Liefdesverdriet
VI. Moeilijkheden
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Proofs and Refutations - The Logic of Mathematical Discovery
Proofs and Refutations - The Logic of Mathematical DiscoveryImre LakatosChapter 1
1. A problem and a conjecture
2. A proof
3. Criticism of the proof by counterexamples which are local but not global
4. Criticism of the conjecture by global counterexamples
5. Criticism of the proof-analysis by counterexamples which are global but not local. The problem of rigour
6. Return to criticism of the proof by counterexamples which are local but nog global. The problem of content
7. The problem of content ...
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