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All the ideas for 'reports', 'Logic in Mathematics' and 'Mind in a Physical World'

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59 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
He studied philosophy by suspending his judgement on everything [Pyrrho, by Diog. Laertius]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics is the clarification of the ontological relationships between different areas of thought [Kim]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Sceptics say reason is only an instrument, because reason can only be attacked with reason [Pyrrho, by Diog. Laertius]
2. Reason / D. Definition / 3. Types of Definition
A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege]
2. Reason / D. Definition / 10. Stipulative Definition
Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta]
2. Reason / E. Argument / 6. Conclusive Proof
We must be clear about every premise and every law used in a proof [Frege]
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic not only proves things, but also reveals logical relations between them [Frege]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege]
The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
'Theorems' are both proved, and used in proofs [Frege]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Tracing inference backwards closes in on a small set of axioms and postulates [Frege]
The essence of mathematics is the kernel of primitive truths on which it rests [Frege]
A truth can be an axiom in one system and not in another [Frege]
Axioms are truths which cannot be doubted, and for which no proof is needed [Frege]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
To create order in mathematics we need a full system, guided by patterns of inference [Frege]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
If principles are provable, they are theorems; if not, they are axioms [Frege]
7. Existence / C. Structure of Existence / 2. Reduction
Reductionism is good on light, genes, temperature and transparency [Kim, by PG]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
Supervenience is linked to dependence [Kim]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
Mereological supervenience says wholes are fixed by parts [Kim]
7. Existence / D. Theories of Reality / 3. Reality
Causal power is a good way of distinguishing the real from the unreal [Kim]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Properties can have causal powers lacked by their constituents [Kim]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
If we need a criterion of truth, we need to know whether it is the correct criterion [Pyrrho, by Fogelin]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
The Pyrrhonians attacked the dogmas of professors, not ordinary people [Pyrrho, by Fogelin]
There are two contradictory arguments about everything [Kim]
Protagoras says arguments on both sides are always equal [Kim, by Seneca]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Academics said that Pyrrhonians were guilty of 'negative dogmatism' [Pyrrho, by Fogelin]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Judgements vary according to local culture and law (Mode 5) [Pyrrho, by Diog. Laertius]
Perception varies with viewing distance and angle (Mode 7) [Pyrrho, by Diog. Laertius]
Perception and judgement depend on comparison (Mode 10) [Pyrrho, by Diog. Laertius]
Individuals vary in responses and feelings (Mode 2) [Pyrrho, by Diog. Laertius]
Animals vary in their feelings and judgements (Mode 1) [Pyrrho, by Diog. Laertius]
Perception varies with madness or disease (Mode 4) [Pyrrho, by Diog. Laertius]
Perception of things depends on their size or quantity (Mode 8) [Pyrrho, by Diog. Laertius]
Perception of objects depends on surrounding conditions (Mode 6) [Pyrrho, by Diog. Laertius]
Perception is affected by expectations (Mode 9) [Pyrrho, by Diog. Laertius]
Objects vary according to which sense perceives them (Mode 3) [Pyrrho, by Diog. Laertius]
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Why didn't Protagoras begin by saying "a tadpole is the measure of all things"? [Plato on Kim]
Not every person is the measure of all things, but only wise people [Plato on Kim]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
Agency, knowledge, reason, memory, psychology all need mental causes [Kim, by PG]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
It seems impossible that an exact physical copy of this world could lack intentionality [Kim]
17. Mind and Body / C. Functionalism / 1. Functionalism
Intentionality as function seems possible [Kim]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Maybe intentionality is reducible, but qualia aren't [Kim]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Emergentism says there is no explanation for a supervenient property [Kim]
The only mental property that might be emergent is that of qualia [Kim]
17. Mind and Body / D. Property Dualism / 5. Supervenience of mind
Non-Reductive Physicalism relies on supervenience [Kim]
Maybe strong supervenience implies reduction [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Identity theory was overthrown by multiple realisations and causal anomalies [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Multiple realisation applies to other species, and even one individual over time [Kim]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
Knowledge and inversion make functionalism about qualia doubtful [Kim]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Emotions have both intentionality and qualia [Kim]
18. Thought / B. Mechanics of Thought / 5. Mental Files
We need definitions to cram retrievable sense into a signed receptacle [Frege]
We use signs to mark receptacles for complex senses [Frege]
19. Language / A. Nature of Meaning / 6. Meaning as Use
A sign won't gain sense just from being used in sentences with familiar components [Frege]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege]
A thought is the sense expressed by a sentence, and is what we prove [Frege]
19. Language / D. Propositions / 5. Unity of Propositions
The parts of a thought map onto the parts of a sentence [Frege]
26. Natural Theory / C. Causation / 7. Eliminating causation
There are no causes, because they are relative, and alike things can't cause one another [Pyrrho, by Diog. Laertius]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Motion can't move where it is, and can't move where it isn't, so it can't exist [Pyrrho, by Diog. Laertius]