Combining Texts

All the ideas for 'On the Infinite', 'Deriving Kripkean Claims with Abstract Objects' and 'Mental Events'

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25 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Abstract objects are actually constituted by the properties by which we conceive them [Zalta]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
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]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]
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]