Combining Philosophers

All the ideas for Jonathan Bennett, Mozi and Peter Koellner

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


20 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
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
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
Arithmetical undecidability is always settled at the next stage up [Koellner]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
Maybe each event has only one possible causal history [Bennett]
Maybe an event's time of occurrence is essential to it [Bennett]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are made of other things, and are not fundamental to ontology [Bennett]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Mohists desire wealth, population and social order as the best consequences [Mozi, by Norden]
23. Ethics / B. Contract Ethics / 2. Golden Rule
If people regarded other states as they did their own, they would never attack them [Mozi]
23. Ethics / D. Deontological Ethics / 3. Universalisability
Mozi condemns partiality, which is the cause of all the great harms in the world [Mozi]
Those who are against impartiality still prefer impartial protectors [Mozi]
26. Natural Theory / C. Causation / 1. Causation
Delaying a fire doesn't cause it, but hastening it might [Bennett]
Either cause and effect are subsumed under a conditional because of properties, or it is counterfactual [Bennett]
26. Natural Theory / C. Causation / 2. Types of cause
Causes are between events ('the explosion') or between facts/states of affairs ('a bomb dropped') [Bennett]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Facts are about the world, not in it, so they can't cause anything [Bennett]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
The full counterfactual story asserts a series of events, because counterfactuals are not transitive [Bennett]
A counterfactual about an event implies something about the event's essence [Bennett]
27. Natural Reality / C. Space / 4. Substantival Space
Empty space is measurable in ways in which empty time necessarily is not [Bennett, by Shoemaker]