Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'A Puzzle Concerning Matter and Form' and 'Philosophical Naturalism'

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


15 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 / D. Theories of Reality / 5. Naturalism
Externalism may be the key idea in philosophical naturalism [Papineau]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The possible Aristotelian view that forms are real and active principles is clearly wrong [Fine,K, by Pasnau]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
How does a dualist mind represent, exist outside space, and be transparent to itself? [Papineau]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
Functionalism needs causation and intentionality to explain actions [Papineau]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Epiphenomenalism is supervenience without physicalism [Papineau]
Supervenience requires all mental events to have physical effects [Papineau]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
Knowing what it is like to be something only involves being (physically) that thing [Papineau]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
If a mental state is multiply realisable, why does it lead to similar behaviour? [Papineau]
19. Language / F. Communication / 4. Private Language
The Private Language argument only means people may misjudge their experiences [Papineau]