Combining Texts

All the ideas for 'Idealism: a critical survey', 'The Art of the Infinite' and 'Laws in Nature'

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32 ideas

1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
Science studies phenomena, but only metaphysics tells us what exists [Mumford]
2. Reason / A. Nature of Reason / 1. On Reason
Many forms of reasoning, such as extrapolation and analogy, are useful but deductively invalid [Mumford]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
7. Existence / A. Nature of Existence / 1. Nature of Existence
For Humeans the world is a world primarily of events [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Properties are just natural clusters of powers [Mumford]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
A 'porridge' nominalist thinks we just divide reality in any way that suits us [Mumford]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
If properties are clusters of powers, this can explain why properties resemble in degrees [Mumford]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
How can we show that a universally possessed property is an essential property? [Mumford]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Singular causes, and identities, might be necessary without falling under a law [Mumford]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
We can give up the counterfactual account if we take causal language at face value [Mumford]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
It is only properties which are the source of necessity in the world [Mumford]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
There are four candidates for the logical form of law statements [Mumford]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Pure regularities are rare, usually only found in idealized conditions [Mumford]
Regularity laws don't explain, because they have no governing role [Mumford]
Would it count as a regularity if the only five As were also B? [Mumford]
Regularities are more likely with few instances, and guaranteed with no instances! [Mumford]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
If the best system describes a nomological system, the laws are in nature, not in the description [Mumford]
The best systems theory says regularities derive from laws, rather than constituting them [Mumford]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Laws of nature are necessary relations between universal properties, rather than about particulars [Mumford]
If laws can be uninstantiated, this favours the view of them as connecting universals [Mumford]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Laws of nature are just the possession of essential properties by natural kinds [Mumford]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
To distinguish accidental from essential properties, we must include possible members of kinds [Mumford]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The Central Dilemma is how to explain an internal or external view of laws which govern [Mumford]
You only need laws if you (erroneously) think the world is otherwise inert [Mumford]
There are no laws of nature in Aristotle; they became standard with Descartes and Newton [Mumford]