back to areas     |     expand all areas     |     Click on an area to expand it    |      Idea totals are in red.

Expansion for Theory of Logic

995 1. Philosophy
601 2. Reason
597 3. Truth
779 4. Formal Logic

1217 5. Theory of Logic
A. Overview of Logic
32 1. Overview of Logic
15 2. History of Logic
23 3. Value of Logic
18 4. Pure Logic
19 5. First-Order Logic
26 6. Classical Logic
33 7. Second-Order Logic
8 8. Logic of Mathematics
2 9. Philosophical Logic
B. Logical Consequence
27 1. Logical Consequence
6 2. Types of Consequence
7 3. Deductive Consequence |-
16 4. Semantic Consequence |=
9 5. Modus Ponens
2 6. Entailment
5 7. Strict Implication
7 8. Material Implication
C. Ontology of Logic
21 1. Ontology of Logic
5 2. Platonism in Logic
12 3. If-Thenism
8 4. Logic by Convention
D. Assumptions for Logic
17 1. Bivalence
28 2. Excluded Middle
4 3. Contradiction
16 4. Identity in Logic
E. Structures of Logic
36 1. Logical Form
29 2. Logical Connectives a. Logical connectives
3 b. Basic connectives
11 c. not
6 d. and
8 e. or
2 3. Constants in Logic
19 4. Variables in Logic
13 5. Functions in Logic
10 6. Relations in Logic
6 7. Predicates in Logic
9 8. Theories in Logic
F. Referring in Logic
31 1. Naming a. Names
33 b. Names as descriptive
22 c. Names as referential
16 d. Singular terms
13 e. Empty names
6 f. Names eliminated
4 2. Descriptions a. Descriptions
21 b. Definite descriptions
25 c. Theory of definite descriptions
5 3. Property (λ-) Abstraction
G. Quantification
22 1. Quantification
16 2. Domain of Quantification
9 3. Objectual Quantification
23 4. Substitutional Quantification
11 5. Second-Order Quantification
24 6. Plural Quantification
9 7. Unorthodox Quantification
H. Proof Systems
4 1. Proof Systems
7 2. Axiomatic Proof
7 3. Proof from Assumptions
14 4. Natural Deduction
8 5. Tableau Proof
5 6. Sequent Calculi
I. Semantics of Logic
21 1. Semantics of Logic
6 2. Formal Truth
24 3. Logical Truth
12 4. Satisfaction
5 5. Extensionalism
4 6. Intensionalism
J. Model Theory in Logic
35 1. Logical Models
13 2. Isomorphisms
24 3. Löwenheim-Skolem Theorems
K. Features of Logics
29 1. Axiomatisation
10 2. Consistency
12 3. Soundness
14 4. Completeness
10 5. Incompleteness
17 6. Compactness
7 7. Decidability
10 8. Enumerability
2 9. Expressibility
6 10. Monotonicity
L. Paradox
5 1. Paradox
21 2. Aporiai
9 3. Antinomies
9 4. Paradoxes in Logic a. Achilles paradox
1 b. König's paradox
4 c. Berry's paradox
2 d. Richard's paradox
2 e. The Lottery paradox
4 5. Paradoxes in Set Theory a. Set theory paradoxes
2 b. Cantor's paradox
5 c. Burali-Forti's paradox
7 d. Russell's paradox
2 e. Mirimanoff's paradox
19 6. Paradoxes in Language a. The Liar paradox
6 b. The Heap paradox ('Sorites')
2 c. Grelling's paradox
1 d. The Preface paradox
2 7. Paradoxes of Time

1165 6. Mathematics
1005 7. Existence
851 8. Modes of Existence
1512 9. Objects
785 10. Modality
460 11. Knowledge Aims
672 12. Knowledge Sources
611 13. Knowledge Criteria
670 14. Science
508 15. Nature of Minds
454 16. Persons
479 17. Mind and Body
746 18. Thought
813 19. Language
227 20. Action
231 21. Aesthetics
828 22. Metaethics
892 23. Ethics
191 24. Applied Ethics
1141 25. Society
960 26. Natural Theory
593 27. Natural Reality
403 28. God
277 29. Religion