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All the ideas for 'fragments/reports', 'Axiomatic Theories of Truth' and 'Dispositions'

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89 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Analysis rests on natural language, but its ideal is a framework which revises language [Halbach]
2. Reason / D. Definition / 2. Aims of Definition
An explicit definition enables the elimination of what is defined [Halbach]
2. Reason / E. Argument / 3. Analogy
Don't trust analogies; they are no more than a guideline [Halbach]
3. Truth / A. Truth Problems / 1. Truth
Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [Halbach]
Truth axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach]
3. Truth / A. Truth Problems / 2. Defining Truth
Any definition of truth requires a metalanguage [Halbach]
Traditional definitions of truth often make it more obscure, rather than less [Halbach]
If people have big doubts about truth, a definition might give it more credibility [Halbach]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / c. Meta-language for truth
Semantic theories avoid Tarski's Theorem by sticking to a sublanguage [Halbach]
3. Truth / F. Semantic Truth / 2. Semantic Truth
Disquotational truth theories are short of deductive power [Halbach]
3. Truth / G. Axiomatic Truth / 1. Axiomatic Truth
CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [Halbach]
Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [Halbach]
The main semantic theories of truth are Kripke's theory, and revisions semantics [Halbach]
To axiomatise Tarski's truth definition, we need a binary predicate for his 'satisfaction' [Halbach]
Compositional Truth CT has the truth of a sentence depending of the semantic values of its constituents [Halbach]
Gödel numbering means a theory of truth can use Peano Arithmetic as its base theory [Halbach]
Truth axioms need a base theory, because that is where truth issues arise [Halbach]
We know a complete axiomatisation of truth is not feasible [Halbach]
A theory is 'conservative' if it adds no new theorems to its base theory [Halbach, by PG]
The Tarski Biconditional theory TB is Peano Arithmetic, plus truth, plus all Tarski bi-conditionals [Halbach]
Theories of truth are 'typed' (truth can't apply to sentences containing 'true'), or 'type-free' [Halbach]
3. Truth / G. Axiomatic Truth / 2. FS Truth Axioms
Friedman-Sheard is type-free Compositional Truth, with two inference rules for truth [Halbach]
3. Truth / G. Axiomatic Truth / 3. KF Truth Axioms
The KF theory is useful, but it is not a theory containing its own truth predicate [Halbach]
The KF is much stronger deductively than FS, which relies on classical truth [Halbach]
Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Compositional Truth CT proves generalisations, so is preferred in discussions of deflationism [Halbach]
Some say deflationism is axioms which are conservative over the base theory [Halbach]
Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach]
The main problem for deflationists is they can express generalisations, but not prove them [Halbach]
Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach]
4. Formal Logic / E. Nonclassical Logics / 3. Many-Valued Logic
In Strong Kleene logic a disjunction just needs one disjunct to be true [Halbach]
In Weak Kleene logic there are 'gaps', neither true nor false if one component lacks a truth value [Halbach]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Every attempt at formal rigour uses some set theory [Halbach]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
The underestimated costs of giving up classical logic are found in mathematical reasoning [Halbach]
5. Theory of Logic / E. Structures of Logic / 8. Theories in Logic
A theory is some formulae and all of their consequences [Halbach]
5. Theory of Logic / K. Features of Logics / 3. Soundness
You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [Halbach]
Normally we only endorse a theory if we believe it to be sound [Halbach]
Soundness must involve truth; the soundness of PA certainly needs it [Halbach]
5. Theory of Logic / L. Paradox / 1. Paradox
Many new paradoxes may await us when we study interactions between frameworks [Halbach]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
The liar paradox applies truth to a negated truth (but the conditional will serve equally) [Halbach]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
The compactness theorem can prove nonstandard models of PA [Halbach]
The global reflection principle seems to express the soundness of Peano Arithmetic [Halbach]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
To reduce PA to ZF, we represent the non-negative integers with von Neumann ordinals [Halbach]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Set theory was liberated early from types, and recent truth-theories are exploring type-free [Halbach]
7. Existence / C. Structure of Existence / 2. Reduction
That Peano arithmetic is interpretable in ZF set theory is taken by philosophers as a reduction [Halbach]
7. Existence / D. Theories of Reality / 2. Realism
Modest realism says there is a reality; the presumptuous view says we can accurately describe it [Mumford]
7. Existence / D. Theories of Reality / 4. Anti-realism
Anti-realists deny truth-values to all statements, and say evidence and ontology are inseparable [Mumford]
8. Modes of Existence / B. Properties / 3. Types of Properties
Dispositions and categorical properties are two modes of presentation of the same thing [Mumford]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Categorical predicates are those unconnected to functions [Mumford]
Categorical properties and dispositions appear to explain one another [Mumford]
There are four reasons for seeing categorical properties as the most fundamental [Mumford]
8. Modes of Existence / B. Properties / 7. Emergent Properties
A lead molecule is not leaden, and macroscopic properties need not be microscopically present [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
Dispositions are attacked as mere regularities of events, or place-holders for unknown properties [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
Dispositions are classifications of properties by functional role [Mumford]
I say the categorical base causes the disposition manifestation [Mumford]
If dispositions have several categorical realisations, that makes the two separate [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
All properties must be causal powers (since they wouldn't exist otherwise) [Mumford]
Intrinsic properties are just causal powers, and identifying a property as causal is then analytic [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Dispositions are ascribed to at least objects, substances and persons [Mumford]
Unlike categorical bases, dispositions necessarily occupy a particular causal role [Mumford]
Dispositions can be contrasted either with occurrences, or with categorical properties [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
If dispositions are powers, background conditions makes it hard to say what they do [Mumford]
Maybe dispositions can replace powers in metaphysics, as what induces property change [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
Orthodoxy says dispositions entail conditionals (rather than being equivalent to them) [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
Dispositions are not just possibilities - they are features of actual things [Mumford]
There could be dispositions that are never manifested [Mumford]
8. Modes of Existence / C. Powers and Dispositions / 7. Against Powers
If every event has a cause, it is easy to invent a power to explain each case [Mumford]
Traditional powers initiate change, but are mysterious between those changes [Mumford]
Categorical eliminativists say there are no dispositions, just categorical states or mechanisms [Mumford]
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Many artefacts have dispositional essences, which make them what they are [Mumford]
10. Modality / A. Necessity / 2. Nature of Necessity
Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach]
10. Modality / B. Possibility / 8. Conditionals / c. Truth-function conditionals
Truth-functional conditionals can't distinguish whether they are causal or accidental [Mumford]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Dispositions are not equivalent to stronger-than-material conditionals [Mumford]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Nomothetic explanations cite laws, and structural explanations cite mechanisms [Mumford]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
General laws depend upon the capacities of particulars, not the other way around [Mumford]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
If fragile just means 'breaks when dropped', it won't explain a breakage [Mumford]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
Maybe dispositions can replace the 'laws of nature' as the basis of explanation [Mumford]
To avoid a regress in explanations, ungrounded dispositions will always have to be posited [Mumford]
Subatomic particles may terminate explanation, if they lack structure [Mumford]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Ontology is unrelated to explanation, which concerns modes of presentation and states of knowledge [Mumford]
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Natural kinds, such as electrons, all behave the same way because we divide them by dispositions [Mumford]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
In the 'laws' view events are basic, and properties are categorical, only existing when manifested [Mumford]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Without laws, how can a dispositionalist explain general behaviour within kinds? [Mumford]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Dretske and Armstrong base laws on regularities between individual properties, not between events [Mumford]
It is a regularity that whenever a person sneezes, someone (somewhere) promptly coughs [Mumford]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
The necessity of an electron being an electron is conceptual, and won't ground necessary laws [Mumford]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Some dispositions are so far unknown, until we learn how to manifest them [Mumford]