Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Why Propositions cannot be concrete' and 'Truthmakers and Converse Barcan Formula'

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22 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
15141 Truthmaker is incompatible with modal semantics of varying domains [Williamson]
15140 The converse Barcan formula will not allow contingent truths to have truthmakers [Williamson]
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]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
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 / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
17887 PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
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 / E. Abstraction / 1. Abstract Thought
9086 The idea of abstract objects is not ontological; it comes from the epistemological idea of abstraction [Plantinga]
9087 Theists may see abstract objects as really divine thoughts [Plantinga]
19. Language / D. Propositions / 3. Concrete Propositions
9085 If propositions are concrete they don't have to exist, and so they can't be necessary truths [Plantinga]
19. Language / D. Propositions / 4. Mental Propositions
9084 Propositions can't just be in brains, because 'there are no human beings' might be true [Plantinga]
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]