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All the ideas for 'works', 'Higher-Order Logic' and 'What Does It Take to Refer?'

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34 ideas

4. Formal Logic / E. Nonclassical Logics / 6. Free Logic
10455 Free logic at least allows empty names, but struggles to express non-existence [Bach]
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 / C. Ontology of Logic / 1. Ontology of Logic
10454 In first-order we can't just assert existence, and it is very hard to deny something's existence [Bach]
5. Theory of Logic / E. Structures of Logic / 3. Constants in Logic
10453 In logic constants play the role of proper names [Bach]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
10452 Proper names can be non-referential - even predicate as well as attributive uses [Bach]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
10456 Millian names struggle with existence, empty names, identities and attitude ascription [Bach]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
10440 An object can be described without being referred to [Bach]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
10444 Definite descriptions can be used to refer, but are not semantically referential [Bach]
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
10590 Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro]
10296 The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro]
10297 The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro]
10292 Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [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]
19. Language / B. Reference / 1. Reference theories
10446 Fictional reference is different inside and outside the fiction [Bach]
10447 We can refer to fictional entities if they are abstract objects [Bach]
10443 You 'allude to', not 'refer to', an individual if you keep their identity vague [Bach]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
10439 What refers: indefinite or definite or demonstrative descriptions, names, indexicals, demonstratives? [Bach]
10441 If we can refer to things which change, we can't be obliged to single out their properties [Bach]
10442 We can think of an individual without have a uniquely characterizing description [Bach]
10445 It can't be real reference if it could refer to some other thing that satisfies the description [Bach]
10457 Since most expressions can be used non-referentially, none of them are inherently referential [Bach]
10463 Just alluding to or describing an object is not the same as referring to it [Bach]
19. Language / B. Reference / 5. Speaker's Reference
10459 Context does not create reference; it is just something speakers can exploit [Bach]
10460 'That duck' may not refer to the most obvious one in the group [Bach]
10461 What a pronoun like 'he' refers back to is usually a matter of speaker's intentions [Bach]
10462 Information comes from knowing who is speaking, not just from interpretation of the utterance [Bach]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
10458 People slide from contextual variability all the way to contextual determination [Bach]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
22086 The most important aspect of a human being is not reason, but passion [Kierkegaard, by Carlisle]