Combining Texts

All the ideas for 'The Metaontology of Abstraction', 'On the Infinite' and 'Four Decades of Scientific Explanation'

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40 ideas

2. Reason / F. Fallacies / 1. Fallacy
It is a fallacy to explain the obscure with the even more obscure [Hale/Wright]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
Singular terms refer if they make certain atomic statements true [Hale/Wright]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
I aim to establish certainty for mathematical methods [Hilbert]
We believe all mathematical problems are solvable [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
No one shall drive us out of the paradise the Cantor has created for us [Hilbert]
We extend finite statements with ideal ones, in order to preserve our logic [Hilbert]
Only the finite can bring certainty to the infinite [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
The idea of an infinite totality is an illusion [Hilbert]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
There is no continuum in reality to realise the infinitely small [Hilbert]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Neo-Fregeanism might be better with truth-makers, rather than quantifier commitment [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Are neo-Fregeans 'maximalists' - that everything which can exist does exist? [Hale/Wright]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The subject matter of mathematics is immediate and clear concrete symbols [Hilbert]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
The identity of Pegasus with Pegasus may be true, despite the non-existence [Hale/Wright]
8. Modes of Existence / B. Properties / 3. Types of Properties
Maybe we have abundant properties for semantics, and sparse properties for ontology [Hale/Wright]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
A successful predicate guarantees the existence of a property - the way of being it expresses [Hale/Wright]
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]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
My theory aims at the certitude of mathematical methods [Hilbert]
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]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]
Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]
19. Language / B. Reference / 4. Descriptive Reference / a. Sense and reference
Reference needs truth as well as sense [Hale/Wright]