Combining Texts

All the ideas for 'Reason, Emotions and Good Life', 'Causes and Conditions' and 'works'

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


16 ideas

2. Reason / A. Nature of Reason / 1. On Reason
For clear questions posed by reason, reason can also find clear answers [Gödel]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Gödel proved that first-order logic is complete, and second-order logic incomplete [Gödel, by Dummett]
5. Theory of Logic / I. Semantics of Logic / 2. Formal Truth
Originally truth was viewed with total suspicion, and only demonstrability was accepted [Gödel]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Gödel's Theorems did not refute the claim that all good mathematical questions have answers [Gödel, by Koellner]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gödel eventually hoped for a generalised completeness theorem leaving nothing undecidable [Gödel, by Koellner]
The real reason for Incompleteness in arithmetic is inability to define truth in a language [Gödel]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham]
26. Natural Theory / C. Causation / 8. Particular Causation / a. Observation of causation
Some says mental causation is distinct because we can recognise single occurrences [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
Mackie tries to analyse singular causal statements, but his entities are too vague for events [Kim on Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / c. Conditions of causation
Necessity and sufficiency are best suited to properties and generic events, not individual events [Kim on Mackie]
A cause is part of a wider set of conditions which suffices for its effect [Mackie, by Crane]
Necessary conditions are like counterfactuals, and sufficient conditions are like factual conditionals [Mackie]
The INUS account interprets single events, and sequences, causally, without laws being known [Mackie]
26. Natural Theory / C. Causation / 8. Particular Causation / d. Selecting the cause
A cause is an Insufficient but Necessary part of an Unnecessary but Sufficient condition [Mackie]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Mackie has a nomological account of general causes, and a subjunctive conditional account of single ones [Mackie, by Tooley]
The virus causes yellow fever, and is 'the' cause; sweets cause tooth decay, but they are not 'the' cause [Mackie]