Combining Texts

All the ideas for 'Science and Method', 'Mathematics is Megethology' and 'Causation and Explanation'

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


44 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Traditionally, rational beliefs are those which are justified by reasons [Psillos]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Valid deduction is monotonic - that is, it remains valid if further premises are added [Psillos]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
The 'epistemic fallacy' is inferring what does exist from what can be known to exist [Psillos]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
14. Science / A. Basis of Science / 4. Prediction
A good barometer will predict a storm, but not explain it [Psillos]
If we say where Mars was two months ago, we offer an explanation without a prediction [Psillos]
14. Science / C. Induction / 4. Reason in Induction
Induction (unlike deduction) is non-monotonic - it can be invalidated by new premises [Psillos]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Explanation is either showing predictability, or showing necessity, or showing causal relations [Psillos]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Just citing a cause does not enable us to understand an event; we also need a relevant law [Psillos]
The 'covering law model' says only laws can explain the occurrence of single events [Psillos]
If laws explain the length of a flagpole's shadow, then the shadow also explains the length of the pole [Psillos]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
There are non-causal explanations, most typically mathematical explanations [Psillos]
An explanation can just be a 'causal story', without laws, as when I knock over some ink [Psillos]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Maybe explanation is entirely relative to the interests and presuppositions of the questioner [Psillos]
An explanation is the removal of the surprise caused by the event [Psillos]
15. Nature of Minds / C. Capacities of Minds / 9. Perceiving Causation
It is hard to analyse causation, if it is presupposed in our theory of the functioning of the mind [Psillos]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Nothing is more usual than to apply to external bodies every internal sensation which they occasion [Psillos]
26. Natural Theory / C. Causation / 1. Causation
We can't base our account of causation on explanation, because it is the wrong way round [Psillos]
Causes clearly make a difference, are recipes for events, explain effects, and are evidence [Psillos]
Theories of causation are based either on regularity, or on intrinsic relations of properties [Psillos]
26. Natural Theory / C. Causation / 2. Types of cause
Three divisions of causal theories: generalist/singularist, intrinsic/extrinsic, reductive/non-reductive [Psillos]
26. Natural Theory / C. Causation / 8. Particular Causation / b. Causal relata
If causation is 'intrinsic' it depends entirely on the properties and relations of the cause and effect [Psillos]
26. Natural Theory / C. Causation / 9. General Causation / b. Nomological causation
Empiricists tried to reduce causation to explanation, which they reduced to logic-plus-a-law [Psillos]
26. Natural Theory / C. Causation / 9. General Causation / c. Counterfactual causation
Counterfactual claims about causation imply that it is more than just regular succession [Psillos]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
"All gold cubes are smaller than one cubic mile" is a true universal generalisation, but not a law [Psillos]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Regularity doesn't seem sufficient for causation [Psillos]
A Humean view of causation says it is regularities, and causal facts supervene on non-causal facts [Psillos]
The regularity of a cock's crow is used to predict dawn, even though it doesn't cause it [Psillos]
It is not a law of nature that all the coins in my pocket are euros, though it is a regularity [Psillos]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Laws are sets of regularities within a simple and strong coherent system of wider regularities [Psillos]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
Dispositional essentialism can't explain its key distinction between essential and non-essential properties [Psillos]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
In some counterfactuals, the counterfactual event happens later than its consequent [Psillos]
Counterfactual theories say causes make a difference - if c hadn't occurred, then e wouldn't occur [Psillos]