Combining Texts

All the ideas for 'fragments/reports', 'The Philosophy of Mathematics' and 'Mental Events'

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22 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
There are no rules linking thought and behaviour, because endless other thoughts intervene [Davidson]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Reduction is impossible because mind is holistic and brain isn't [Davidson, by Maslin]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Anomalous monism says nothing at all about the relationship between mental and physical [Davidson, by Kim]
Mind is outside science, because it is humanistic and partly normative [Davidson, by Lycan]
Anomalous monism says causes are events, so the mental and physical are identical, without identical properties [Davidson, by Crane]
If rule-following and reason are 'anomalies', does that make reductionism impossible? [Davidson, by Kim]
Davidson claims that mental must be physical, to make mental causation possible [Davidson, by Kim]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
If mental causation is lawless, it is only possible if mental events have physical properties [Davidson, by Kim]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Supervenience of the mental means physical changes mental, and mental changes physical [Davidson]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
Davidson sees identity as between events, not states, since they are related in causation [Davidson, by Lowe]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Multiple realisability was worse news for physicalism than anomalous monism was [Davidson, by Kim]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Causation is either between events, or between descriptions of events [Davidson, by Maslin]
Whether an event is a causal explanation depends on how it is described [Davidson, by Maslin]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]