Combining Texts

All the ideas for 'The Varieties of Necessity', 'Laws in Nature' and 'Ontology and Mathematical Truth'

expand these ideas     |    start again     |     specify just one area for these texts


35 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 / 1. Set Theory
'Impure' sets have a concrete member, while 'pure' (abstract) sets do not [Jubien]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A model is 'fundamental' if it contains only concrete entities [Jubien]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
There couldn't just be one number, such as 17 [Jubien]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
The subject-matter of (pure) mathematics is abstract structure [Jubien]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If we all intuited mathematical objects, platonism would be agreed [Jubien]
How can pure abstract entities give models to serve as interpretations? [Jubien]
Since mathematical objects are essentially relational, they can't be picked out on their own [Jubien]
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 / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
The empty set is the purest abstract object [Jubien]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
How can we show that a universally possessed property is an essential property? [Mumford]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Each area of enquiry, and its source, has its own distinctive type of necessity [Fine,K]
13. Knowledge Criteria / C. External Justification / 7. Testimony
Unsupported testimony may still be believable [Fine,K]
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 / a. Scientific essentialism
Causation is easier to disrupt than logic, so metaphysics is part of nature, not vice versa [Fine,K]
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]