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All the ideas for 'Structures and Structuralism in Phil of Maths', 'The Problem of the Soul' and 'The Metaphysics within Physics'

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72 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Philosophy needs wisdom about who we are, as well as how we ought to be [Flanagan]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
The metaphysics of nature should focus on physics [Maudlin]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Kant survives in seeing metaphysics as analysing our conceptual system, which is a priori [Maudlin]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Wide metaphysical possibility may reduce metaphysics to analysis of fantasies [Maudlin]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
We resist science partly because it can't provide ethical wisdom [Flanagan]
2. Reason / B. Laws of Thought / 6. Ockham's Razor
If the universe is profligate, the Razor leads us astray [Maudlin]
The Razor rightly prefers one cause of multiple events to coincidences of causes [Maudlin]
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 / 5. Supervenience / d. Humean supervenience
The Humean view is wrong; laws and direction of time are primitive, and atoms are decided by physics [Maudlin]
Lewis says it supervenes on the Mosaic, but actually thinks the Mosaic is all there is [Maudlin]
If the Humean Mosaic is ontological bedrock, there can be no explanation of its structure [Maudlin]
The 'spinning disc' is just impossible, because there cannot be 'homogeneous matter' [Maudlin]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
To get an ontology from ontological commitment, just add that some theory is actually true [Maudlin]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Naïve translation from natural to formal language can hide or multiply the ontology [Maudlin]
8. Modes of Existence / B. Properties / 5. Natural Properties
A property is fundamental if two objects can differ in only that respect [Maudlin]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Fundamental physics seems to suggest there are no such things as properties [Maudlin]
8. Modes of Existence / D. Universals / 2. Need for Universals
Existence of universals may just be decided by acceptance, or not, of second-order logic [Maudlin]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Logically impossible is metaphysically impossible, but logically possible is not metaphysically possible [Maudlin]
10. Modality / B. Possibility / 9. Counterfactuals
A counterfactual antecedent commands the redescription of a selected moment [Maudlin]
14. Science / A. Basis of Science / 4. Prediction
Explanation does not entail prediction [Flanagan]
14. Science / C. Induction / 1. Induction
Induction leaps into the unknown, but usually lands safely [Maudlin]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Laws should help explain the things they govern, or that manifest them [Maudlin]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
In the 17th century a collisionlike view of causation made mental causation implausible [Flanagan]
15. Nature of Minds / B. Features of Minds / 3. Privacy
Only you can have your subjective experiences because only you are hooked up to your nervous system [Flanagan]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
We only have a sense of our self as continuous, not as exactly the same [Flanagan]
16. Persons / E. Rejecting the Self / 3. Narrative Self
The self is an abstraction which magnifies important aspects of autobiography [Flanagan]
We are not born with a self; we develop a self through living [Flanagan]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
For Buddhists a fixed self is a morally dangerous illusion [Flanagan]
16. Persons / F. Free Will / 1. Nature of Free Will
Normal free will claims control of what I do, but a stronger view claims control of thought and feeling [Flanagan]
Free will is held to give us a whole list of desirable capacities for living [Flanagan]
16. Persons / F. Free Will / 5. Against Free Will
People believe they have free will that circumvents natural law, but only an incorporeal mind could do this [Flanagan]
We only think of ourselves as having free will because we first thought of God that way [Flanagan]
17. Mind and Body / A. Mind-Body Dualism / 8. Dualism of Mind Critique
People largely came to believe in dualism because it made human agents free [Flanagan]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
Behaviourism notoriously has nothing to say about mental causation [Flanagan]
17. Mind and Body / D. Property Dualism / 2. Anomalous Monism
Cars and bodies obey principles of causation, without us knowing any 'strict laws' about them [Flanagan]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
Physicalism doesn't deny that the essence of an experience is more than its neural realiser [Flanagan]
18. Thought / A. Modes of Thought / 3. Emotions / f. Emotion and reason
Emotions are usually very apt, rather than being non-rational and fickle [Flanagan]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Intellectualism admires the 'principled actor', non-intellectualism admires the 'good character' [Flanagan]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
Cognitivists think morals are discovered by reason [Flanagan]
22. Metaethics / B. Value / 2. Values / a. Normativity
Ethics is the science of the conditions that lead to human flourishing [Flanagan]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Evaluating counterfactuals involves context and interests [Maudlin]
We don't pick a similar world from many - we construct one possibility from the description [Maudlin]
The counterfactual is ruined if some other cause steps in when the antecedent fails [Maudlin]
If we know the cause of an event, we seem to assent to the counterfactual [Maudlin]
If the effect hadn't occurred the cause wouldn't have happened, so counterfactuals are two-way [Maudlin]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Laws are primitive, so two indiscernible worlds could have the same laws [Maudlin]
Fundamental laws say how nature will, or might, evolve from some initial state [Maudlin]
Laws of nature are ontological bedrock, and beyond analysis [Maudlin]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
'Humans with prime house numbers are mortal' is not a law, because not a natural kind [Maudlin]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
If laws are just regularities, then there have to be laws [Maudlin]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
I believe the passing of time is a fundamental fact about the world [Maudlin]
27. Natural Reality / D. Time / 2. Passage of Time / b. Rate of time
If time passes, presumably it passes at one second per second [Maudlin]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
There is one ordered B series, but an infinitude of A series, depending on when the present is [Maudlin]
29. Religion / A. Polytheistic Religion / 3. Hinduism
The Hindu doctrine of reincarnation only appeared in the eighth century CE [Flanagan]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The idea of the soul gets some support from the scientific belief in essential 'natural kinds' [Flanagan]