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All the ideas for 'Structures and Structuralism in Phil of Maths', 'Essays on Intellectual Powers 6: Judgement' and 'Philosophy of Mind'

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66 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
The existence of tensed verbs shows that not all truths are necessary truths [Reid]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
There is no such thing as 'science'; there are just many different sciences [Heil]
2. Reason / F. Fallacies / 7. Ad Hominem
An ad hominem argument is good, if it is shown that the man's principles are inconsistent [Reid]
3. Truth / F. Semantic Truth / 2. Semantic Truth
While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
'Analysis' is the theory of the real numbers [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mereological arithmetic needs infinite objects, and function definitions [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory gives a unified and an explicit basis for mathematics [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price]
There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price]
Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price]
There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price]
Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price]
Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price]
7. Existence / C. Structure of Existence / 3. Levels of Reality
A higher level is 'supervenient' if it is determined by lower levels, but has its own natural laws [Heil]
8. Modes of Existence / B. Properties / 5. Natural Properties
Functionalists in Fodor's camp usually say that a genuine property is one that figures in some causal laws [Heil]
8. Modes of Existence / B. Properties / 6. Categorical Properties
A stone does not possess the property of being a stone; its other properties make it a stone [Heil]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Complex properties are just arrangements of simple properties; they do not "emerge" as separate [Heil]
Complex properties are not new properties, they are merely new combinations of properties [Heil]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
From the property predicates P and Q, we can get 'P or Q', but it doesn't have to designate another property [Heil]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
The supporters of 'tropes' treat objects as bundles of tropes, when I think objects 'possess' properties [Heil]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
9. Objects / E. Objects over Time / 9. Ship of Theseus
If you can have the boat without its current planks, and the planks with no boat, the planks aren't the boat [Heil]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
You can't embrace the formal apparatus of possible worlds, but reject the ontology [Heil]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
If someone denies that he is thinking when he is conscious of it, we can only laugh [Reid]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
The existence of ideas is no more obvious than the existence of external objects [Reid]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Idealism explains appearances by identifying appearances with reality [Heil]
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
We are only aware of other beings through our senses; without that, we are alone in the universe [Reid]
12. Knowledge Sources / E. Direct Knowledge / 1. Common Sense
In obscure matters the few must lead the many, but the many usually lead in common sense [Reid]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
The theory of ideas, popular with philosophers, means past existence has to be proved [Reid]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
Different generations focus on either the quality of mind, or its scientific standing, or the content of thought [Heil]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
If minds are realised materially, it looks as if the material laws will pre-empt any causal role for mind [Heil]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Consciousness is an indefinable and unique operation [Reid]
Whatever exists has qualities, so it is no surprise that states of minds have qualities [Heil]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Propositional attitudes are not the only intentional states; there is also mental imagery [Heil]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
The widespread externalist view says intentionality has content because of causal links of agent to world [Heil]
16. Persons / C. Self-Awareness / 4. Errors in Introspection
Error must be possible in introspection, because error is possible in all judgements [Heil]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
If causation is just regularities in events, the interaction of mind and body is not a special problem [Heil]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Disposition is a fundamental feature of reality, since basic particles are capable of endless possible interactions [Heil]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
No mental state entails inevitable behaviour, because other beliefs or desires may intervene [Heil]
17. Mind and Body / C. Functionalism / 3. Psycho-Functionalism
Hearts are material, but functionalism says the property of being a heart is not a material property [Heil]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
If you are a functionalist, there appears to be no room for qualia [Heil]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Higher-level sciences cannot be reduced, because their concepts mark boundaries invisible at lower levels [Heil]
Higher-level sciences designate real properties of objects, which are not reducible to lower levels [Heil]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
'Property dualism' says mind and body are not substances, but distinct families of properties [Heil]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Early identity theory talked of mind and brain 'processes', but now the focus is properties [Heil]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
It seems contradictory to be asked to believe that we can be eliminativist about beliefs [Heil]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
The appeal of the identity theory is its simplicity, and its solution to the mental causation problem [Heil]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Functionalists emphasise that mental processes are not to be reduced to what realises them [Heil]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
'Multiple realisability' needs to clearly distinguish low-level realisers from what is realised [Heil]
Multiple realisability is not a relation among properties, but an application of predicates to resembling things [Heil]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
A scientist could know everything about the physiology of headaches, but never have had one [Heil]
18. Thought / A. Modes of Thought / 1. Thought
Is mental imagery pictorial, or is it propositional? [Heil]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology and neuroscience are no more competitors than cartography and geology are [Heil]
18. Thought / A. Modes of Thought / 8. Human Thought
The structure of languages reveals a uniformity in basic human opinions [Reid]
18. Thought / E. Abstraction / 2. Abstracta by Selection
If you can't distinguish the features of a complex object, your notion of it would be a muddle [Reid]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Truth-conditions correspond to the idea of 'literal meaning' [Heil]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
To understand 'birds warble' and 'tigers growl', you must also understand 'tigers warble' [Heil]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
If propositions are abstract entities, how do human beings interact with them? [Heil]
21. Aesthetics / A. Aesthetic Experience / 3. Taste
There are axioms of taste - such as a general consensus about a beautiful face [Reid]