Combining Texts

All the ideas for 'fragments/reports', 'Four Decades of Scientific Explanation' and 'Mathematics is Megethology'

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32 ideas

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]
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]
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]
11. Knowledge Aims / A. Knowledge / 2. Understanding
It is knowing 'why' that gives scientific understanding, not knowing 'that' [Salmon]
Understanding is an extremely vague concept [Salmon]
14. Science / A. Basis of Science / 4. Prediction
Correlations can provide predictions, but only causes can give explanations [Salmon]
14. Science / B. Scientific Theories / 3. Instrumentalism
For the instrumentalists there are no scientific explanations [Salmon]
14. Science / C. Induction / 4. Reason in Induction
Good induction needs 'total evidence' - the absence at the time of any undermining evidence [Salmon]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Scientific explanation is not reducing the unfamiliar to the familiar [Salmon]
Why-questions can seek evidence as well as explanation [Salmon]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
The three basic conceptions of scientific explanation are modal, epistemic, and ontic [Salmon]
The 'inferential' conception is that all scientific explanations are arguments [Salmon]
Ontic explanations can be facts, or reports of facts [Salmon]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
We must distinguish true laws because they (unlike accidental generalizations) explain things [Salmon]
Deductive-nomological explanations will predict, and their predictions will explain [Salmon]
A law is not enough for explanation - we need information about what makes a difference [Salmon]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
Flagpoles explain shadows, and not vice versa, because of temporal ordering [Salmon]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
Explanation at the quantum level will probably be by entirely new mechanisms [Salmon]
Does an item have a function the first time it occurs? [Salmon]
Explanations reveal the mechanisms which produce the facts [Salmon]
14. Science / D. Explanation / 2. Types of Explanation / l. Probabilistic explanations
Can events whose probabilities are low be explained? [Salmon]
Statistical explanation needs relevance, not high probability [Salmon]
Think of probabilities in terms of propensities rather than frequencies [Salmon]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The cardinal virtues are theoretical (based on knowledge), and others are 'non-theoretical' [Hecato, by Dorandi]