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All the ideas for 'Thinking About Mathematics', 'Every Thing Must Go' and 'Philosophy of Science: Very Short Intro (2nd ed)'

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85 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
There is no test for metaphysics, except devising alternative theories [Ladyman/Ross]
1. Philosophy / E. Nature of Metaphysics / 4. Metaphysics as Science
Metaphysics builds consilience networks across science [Ladyman/Ross]
Progress in metaphysics must be tied to progress in science [Ladyman/Ross]
Metaphysics must involve at least two scientific hypotheses, one fundamental, and add to explanation [Ladyman/Ross]
Some science is so general that it is metaphysical [Ladyman/Ross]
Cutting-edge physics has little to offer metaphysics [Ladyman/Ross]
The aim of metaphysics is to unite the special sciences with physics [Ladyman/Ross]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Modern metaphysics pursues aesthetic criteria like story-writing, and abandons scientific truth [Ladyman/Ross]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Why think that conceptual analysis reveals reality, rather than just how people think? [Ladyman/Ross]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
A metaphysics based on quantum gravity could result in almost anything [Ladyman/Ross]
The supremacy of science rests on its iterated error filters [Ladyman/Ross]
We should abandon intuitions, especially that the world is made of little things, and made of something [Ladyman/Ross]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Maybe mathematical logic rests on information-processing [Ladyman/Ross]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Only admit into ontology what is explanatory and predictive [Ladyman/Ross]
To be is to be a real pattern [Ladyman/Ross]
7. Existence / B. Change in Existence / 2. Processes
Any process can be described as transfer of measurable information [Ladyman/Ross]
7. Existence / C. Structure of Existence / 2. Reduction
Multiple realisability is said to make reduction impossible [Okasha]
7. Existence / C. Structure of Existence / 6. Fundamentals / a. Fundamental reality
We say there is no fundamental level to ontology, and reality is just patterns [Ladyman/Ross]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
If concrete is spatio-temporal and causal, and abstract isn't, the distinction doesn't suit physics [Ladyman/Ross]
Concrete and abstract are too crude for modern physics [Ladyman/Ross]
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism is 'part-whole' (all parts are physical), or 'supervenience/levels' (dependence on physical) [Ladyman/Ross]
8. Modes of Existence / A. Relations / 1. Nature of Relations
Relations without relata must be treated as universals, with their own formal properties [Ladyman/Ross]
A belief in relations must be a belief in things that are related [Ladyman/Ross]
8. Modes of Existence / A. Relations / 2. Internal Relations
The normal assumption is that relations depend on properties of the relata [Ladyman/Ross]
8. Modes of Existence / A. Relations / 3. Structural Relations
That there are existent structures not made of entities is no stranger than the theory of universals [Ladyman/Ross]
8. Modes of Existence / B. Properties / 5. Natural Properties
Causal essentialism says properties are nothing but causal relations [Ladyman/Ross]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
If science captures the modal structure of things, that explains why its predictions work [Ladyman/Ross]
9. Objects / A. Existence of Objects / 1. Physical Objects
Things are constructs for tracking patterns (and not linguistic, because animals do it) [Ladyman/Ross]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Maybe individuation can be explained by thermodynamic depth [Ladyman/Ross]
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Physics seems to imply that we must give up self-subsistent individuals [Ladyman/Ross]
There is no single view of individuals, because different sciences operate on different scales [Ladyman/Ross]
There are no cats in quantum theory, and no mountains in astrophysics [Ladyman/Ross]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
Things are abstractions from structures [Ladyman/Ross]
9. Objects / C. Structure of Objects / 5. Composition of an Object
The idea of composition, that parts of the world are 'made of' something, is no longer helpful [Ladyman/Ross]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
A sum of things is not a whole if the whole does not support some new generalisation [Ladyman/Ross]
9. Objects / D. Essence of Objects / 13. Nominal Essence
We treat the core of a pattern as an essence, in order to keep track of it [Ladyman/Ross]
9. Objects / E. Objects over Time / 1. Objects over Time
A continuous object might be a type, with instances at each time [Ladyman/Ross]
10. Modality / B. Possibility / 6. Probability
Quantum mechanics seems to imply single-case probabilities [Ladyman/Ross]
In quantum statistics, two separate classical states of affairs are treated as one [Ladyman/Ross]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Rats find some obvious associations easier to learn than less obvious ones [Ladyman/Ross]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The doctrine of empiricism does not itself seem to be empirically justified [Ladyman/Ross]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
There is no reason to think our intuitions are good for science or metaphysics [Ladyman/Ross]
14. Science / A. Basis of Science / 3. Experiment
Randomised Control Trials have a treatment and a control group, chosen at random [Okasha]
Not all sciences are experimental; astronomy relies on careful observation [Okasha]
14. Science / A. Basis of Science / 4. Prediction
What matters is whether a theory can predict - not whether it actually does so [Ladyman/Ross]
The theory of evolution was accepted because it explained, not because of its predictions [Ladyman/Ross]
14. Science / A. Basis of Science / 6. Falsification
The discoverers of Neptune didn't change their theory because of an anomaly [Okasha]
Science mostly aims at confirming theories, rather than falsifying them [Okasha]
14. Science / B. Scientific Theories / 1. Scientific Theory
Theories with unobservables are underdetermined by the evidence [Okasha]
14. Science / B. Scientific Theories / 5. Commensurability
Two things can't be incompatible if they are incommensurable [Okasha]
14. Science / B. Scientific Theories / 8. Ramsey Sentences
The Ramsey sentence describes theoretical entities; it skips reference, but doesn't eliminate it [Ladyman/Ross]
The Ramsey-sentence approach preserves observations, but eliminates unobservables [Ladyman/Ross]
14. Science / C. Induction / 1. Induction
Induction is inferences from examined to unexamined instances of a given kind [Okasha]
Induction is reasoning from the observed to the unobserved [Ladyman/Ross]
14. Science / C. Induction / 4. Reason in Induction
Inductive defences of induction may be rule-circular, but not viciously premise-circular [Ladyman/Ross]
14. Science / C. Induction / 6. Bayes's Theorem
If the rules only concern changes of belief, and not the starting point, absurd views can look ratiional [Okasha]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
We explain by deriving the properties of a phenomenon by embedding it in a large abstract theory [Ladyman/Ross]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Maybe the only way we can think about a domain is by dividing it up into objects [Ladyman/Ross]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
Two versions of quantum theory say that the world is deterministic [Ladyman/Ross]
17. Mind and Body / D. Property Dualism / 4. Emergentism
Science is opposed to downward causation [Ladyman/Ross]
26. Natural Theory / B. Natural Kinds / 3. Knowing Kinds
Explanation by kinds and by clusters of properties just express the stability of reality [Ladyman/Ross]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
There is nothing more to a natural kind than a real pattern in nature [Ladyman/Ross]
26. Natural Theory / C. Causation / 7. Eliminating causation
Causation is found in the special sciences, but may have no role in fundamental physics [Ladyman/Ross]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Science may have uninstantiated laws, inferred from approaching some unrealised limit [Ladyman/Ross]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
Galileo refuted the Aristotelian theory that heavier objects fall faster [Okasha]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
That the universe must be 'made of' something is just obsolete physics [Ladyman/Ross]
In physics, matter is an emergent phenomenon, not part of fundamental ontology [Ladyman/Ross]
27. Natural Reality / C. Space / 6. Space-Time
If spacetime is substantial, what is the substance? [Ladyman/Ross]
Spacetime may well be emergent, rather than basic [Ladyman/Ross]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
A fixed foliation theory of quantum gravity could make presentism possible [Ladyman/Ross]