Combining Texts

All the ideas for 'Logical Consequence', 'Truthmakers and Converse Barcan Formula' and 'Truly Understood'

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26 ideas

3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
15134 The truthmaker principle requires some specific named thing to make the difference [Williamson]
3. Truth / B. Truthmakers / 7. Making Modal Truths
15140 The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson]
15141 Truthmaker is incompatible with modal semantics of varying domains [Williamson]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
10688 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / h. System S5
15131 If metaphysical possibility is not a contingent matter, then S5 seems to suit it best [Williamson]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
15135 If the domain of propositional quantification is constant, the Barcan formulas hold [Williamson]
15139 Converse Barcan: could something fail to meet a condition, if everything meets that condition? [Williamson]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
10690 Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
10691 Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
10695 Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall]
5. Theory of Logic / B. Logical Consequence / 8. Material Implication
10689 A step is a 'material consequence' if we need contents as well as form [Beall/Restall]
5. Theory of Logic / G. Quantification / 1. Quantification
18492 Not all quantification is either objectual or substitutional [Williamson]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
15136 Substitutional quantification is metaphysical neutral, and equivalent to a disjunction of instances [Williamson]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
15138 Not all quantification is objectual or substitutional [Williamson]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
10696 A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
10693 Models are mathematical structures which interpret the non-logical primitives [Beall/Restall]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10692 Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
15137 If 'fact' is a noun, can we name the fact that dogs bark 'Mary'? [Williamson]
10. Modality / E. Possible worlds / 3. Transworld Objects / e. Possible Objects
15142 Our ability to count objects across possibilities favours the Barcan formulas [Williamson]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
12608 Concepts are distinguished by roles in judgement, and are thus tied to rationality [Peacocke]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
12605 A sense is individuated by the conditions for reference [Peacocke]
12607 Fregean concepts have their essence fixed by reference-conditions [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / a. Conceptual structure
12609 Concepts have distinctive reasons and norms [Peacocke]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
12604 Any explanation of a concept must involve reference and truth [Peacocke]
19. Language / C. Assigning Meanings / 4. Compositionality
12610 Encountering novel sentences shows conclusively that meaning must be compositional [Peacocke]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
15133 A thing can't be the only necessary existent, because its singleton set would be as well [Williamson]