Combining Texts

All the ideas for 'Presupposition and Conversational Implicature', 'Oxford Dictionary of Philosophy' and 'Higher-Order Logic'

expand these ideas     |    start again     |     specify just one area for these texts

18 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
10301 The axiom of choice is controversial, but it could be replaced [Shapiro]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
10588 First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
10298 Some say that second-order logic is mathematics, not logic [Shapiro]
10299 If the aim of logic is to codify inferences, second-order logic is useless [Shapiro]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
10300 Logical consequence can be defined in terms of the logical terminology [Shapiro]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
10290 Second-order variables also range over properties, sets, relations or functions [Shapiro]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
10297 The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
10590 Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
10292 Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro]
10296 The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
10294 Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro]
8. Modes of Existence / B. Properties / 11. Properties as Sets
10591 Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
10. Modality / B. Possibility / 8. Conditionals / f. Pragmatics of conditionals
10990 Conditionals are truth-functional, but unassertable in tricky cases? [Grice, by Read]
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
6451 Visual sense data are an inner picture show which represents the world [Blackburn]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
2866 A true belief might be based on a generally reliable process that failed on this occasion [Blackburn]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
10991 Key conversational maxims are 'quality' (assert truth) and 'quantity' (leave nothing out) [Grice, by Read]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
2864 The main objection to intuitionism in ethics is that intuition is a disguise for prejudice or emotion [Blackburn]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / i. Prescriptivism
2865 Critics of prescriptivism observe that it is consistent to accept an ethical verdict but refuse to be bound by it [Blackburn]