Combining Philosophers

All the ideas for Tom Clark, Peter Koellner and Marian David

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19 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
18365 If truths are just identical with facts, then truths will make themselves true [David]
3. Truth / B. Truthmakers / 2. Truthmaker Relation
18362 Examples show that truth-making is just non-symmetric, not asymmetric [David]
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
18360 It is assumed that a proposition is necessarily true if its truth-maker exists [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
18358 Two different propositions can have the same fact as truth-maker [David]
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
18355 What matters is truth-making (not truth-makers) [David]
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
18354 Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
18356 Correspondence is an over-ambitious attempt to explain truth-making [David]
18363 Correspondence theorists see facts as the only truth-makers [David]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
18364 Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
18357 What makes a disjunction true is simpler than the disjunctive fact it names [David]
18359 One proposition can be made true by many different facts [David]
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 / 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]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
18361 A reflexive relation entails that the relation can't be asymmetric [David]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
4741 A very powerful computer might have its operations restricted by the addition of consciousness [Clark,T]