Combining Texts

All the ideas for 'What is Mathematical Truth?', 'Four Decades of Scientific Explanation' and 'Axiomatic Theories of Truth (2013 ver)'

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


31 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
If we define truth, we can eliminate it [Halbach/Leigh]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
If a language cannot name all objects, then satisfaction must be used, instead of unary truth [Halbach/Leigh]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories need a powerful metalanguage, typically including set theory [Halbach/Leigh]
3. Truth / F. Semantic Truth / 2. Semantic Truth
The T-sentences are deductively weak, and also not deductively conservative [Halbach/Leigh]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
A natural theory of truth plays the role of reflection principles, establishing arithmetic's soundness [Halbach/Leigh]
If deflationary truth is not explanatory, truth axioms should be 'conservative', proving nothing new [Halbach/Leigh]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
The FS axioms use classical logical, but are not fully consistent [Halbach/Leigh]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
KF is formulated in classical logic, but describes non-classical truth, which allows truth-value gluts [Halbach/Leigh]
8. Modes of Existence / B. Properties / 12. Denial of Properties
We can reduce properties to true formulas [Halbach/Leigh]
8. Modes of Existence / E. Nominalism / 1. Nominalism / c. Nominalism about abstracta
Nominalists can reduce theories of properties or sets to harmless axiomatic truth theories [Halbach/Leigh]
10. Modality / B. Possibility / 1. Possibility
Mathematics eliminates possibility, as being simultaneous actuality in sets [Putnam]
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]