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All the ideas for 'Axiomatic Theories of Truth', 'Four Dimensionalism' and 'Philosophy of Mind'

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113 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Metaphysical enquiry can survive if its conclusions are tentative [Sider]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Analysis rests on natural language, but its ideal is a framework which revises language [Halbach]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
There is no such thing as 'science'; there are just many different sciences [Heil]
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 axioms prove objects exist, so truth doesn't seem to be a logical notion [Halbach]
Truth-value 'gluts' allow two truth values together; 'gaps' give a partial conception of truth [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
Axiomatic truth doesn't presuppose a truth-definition, though it could admit it at a later stage [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]
The main semantic theories of truth are Kripke's theory, and revisions semantics [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]
CT proves PA consistent, which PA can't do on its own, so CT is not conservative over PA [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]
Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach]
The KF is much stronger deductively than FS, which relies on classical truth [Halbach]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
Deflationism says truth is a disquotation device to express generalisations, adding no new knowledge [Halbach]
Deflationists say truth is just for expressing infinite conjunctions or generalisations [Halbach]
The main problem for deflationists is they can express generalisations, but not prove them [Halbach]
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]
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
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]
You cannot just say all of Peano arithmetic is true, as 'true' isn't part of the system [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 / B. Change in Existence / 2. Processes
Four-dimensionalism sees things and processes as belonging in the same category [Sider]
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 / C. Structure of Existence / 3. Levels of Reality
A higher level is 'supervenient' if it is determined by lower levels, but has its own natural laws [Heil]
8. Modes of Existence / B. Properties / 5. Natural Properties
Functionalists in Fodor's camp usually say that a genuine property is one that figures in some causal laws [Heil]
8. Modes of Existence / B. Properties / 6. Categorical Properties
A stone does not possess the property of being a stone; its other properties make it a stone [Heil]
Proper ontology should only use categorical (actual) properties, not hypothetical ones [Sider]
8. Modes of Existence / B. Properties / 7. Emergent Properties
Complex properties are just arrangements of simple properties; they do not "emerge" as separate [Heil]
Complex properties are not new properties, they are merely new combinations of properties [Heil]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
From the property predicates P and Q, we can get 'P or Q', but it doesn't have to designate another property [Heil]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
The supporters of 'tropes' treat objects as bundles of tropes, when I think objects 'possess' properties [Heil]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
If sortal terms fix the kind and the persistence conditions, we need to know what kinds there are [Sider]
9. Objects / B. Unity of Objects / 3. Unity Problems / b. Cat and its tail
If Tib is all of Tibbles bar her tail, when Tibbles loses her tail, two different things become one [Sider]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
Artists 'create' statues because they are essentially statues, and so lack identity with the lump of clay [Sider]
9. Objects / B. Unity of Objects / 3. Unity Problems / d. Coincident objects
The stage view of objects is best for dealing with coincident entities [Sider]
9. Objects / C. Structure of Objects / 5. Composition of an Object
'Composition as identity' says that an object just is the objects which compose it [Sider]
9. Objects / D. Essence of Objects / 12. Essential Parts
Mereological essentialism says an object's parts are necessary for its existence [Sider]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
Three-dimensionalists assert 'enduring', being wholly present at each moment, and deny 'temporal parts' [Sider]
Some might say that its inconsistency with time travel is a reason to favour three-dimensionalism [Sider]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
4D says each spatiotemporal object must have a temporal part at every moment at which it exists [Sider]
4D says intrinsic change is difference between successive parts [Sider]
Four-dimensionalists assert 'temporal parts', 'perduring', and being spread out over time [Sider]
9. Objects / E. Objects over Time / 5. Temporal Parts
Temporal parts are instantaneous [Sider]
Temporal parts exist, but are not prior building blocks for objects [Sider]
How can an instantaneous stage believe anything, if beliefs take time? [Sider]
Four-dimensionalism says temporal parts are caused (through laws of motion) by previous temporal parts [Sider]
9. Objects / E. Objects over Time / 9. Ship of Theseus
If you can have the boat without its current planks, and the planks with no boat, the planks aren't the boat [Heil]
The ship undergoes 'asymmetric' fission, where one candidate is seen as stronger [Sider]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
If you say Leibniz's Law doesn't apply to 'timebound' properties, you are no longer discussing identity [Sider]
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 / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
You can't embrace the formal apparatus of possible worlds, but reject the ontology [Heil]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
Counterparts rest on similarity, so there are many such relations in different contexts [Sider]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
Idealism explains appearances by identifying appearances with reality [Heil]
15. Nature of Minds / A. Nature of Mind / 1. Mind / e. Questions about mind
Different generations focus on either the quality of mind, or its scientific standing, or the content of thought [Heil]
15. Nature of Minds / A. Nature of Mind / 3. Mental Causation
If minds are realised materially, it looks as if the material laws will pre-empt any causal role for mind [Heil]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Whatever exists has qualities, so it is no surprise that states of minds have qualities [Heil]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / a. Nature of intentionality
Propositional attitudes are not the only intentional states; there is also mental imagery [Heil]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
The widespread externalist view says intentionality has content because of causal links of agent to world [Heil]
16. Persons / C. Self-Awareness / 4. Errors in Introspection
Error must be possible in introspection, because error is possible in all judgements [Heil]
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
If causation is just regularities in events, the interaction of mind and body is not a special problem [Heil]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
Disposition is a fundamental feature of reality, since basic particles are capable of endless possible interactions [Heil]
17. Mind and Body / B. Behaviourism / 4. Behaviourism Critique
No mental state entails inevitable behaviour, because other beliefs or desires may intervene [Heil]
17. Mind and Body / C. Functionalism / 3. Psycho-Functionalism
Hearts are material, but functionalism says the property of being a heart is not a material property [Heil]
17. Mind and Body / C. Functionalism / 8. Functionalism critique
If you are a functionalist, there appears to be no room for qualia [Heil]
17. Mind and Body / D. Property Dualism / 1. Reductionism critique
Higher-level sciences cannot be reduced, because their concepts mark boundaries invisible at lower levels [Heil]
Higher-level sciences designate real properties of objects, which are not reducible to lower levels [Heil]
17. Mind and Body / D. Property Dualism / 3. Property Dualism
'Property dualism' says mind and body are not substances, but distinct families of properties [Heil]
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
Early identity theory talked of mind and brain 'processes', but now the focus is properties [Heil]
17. Mind and Body / E. Mind as Physical / 3. Eliminativism
It seems contradictory to be asked to believe that we can be eliminativist about beliefs [Heil]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
The appeal of the identity theory is its simplicity, and its solution to the mental causation problem [Heil]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
Functionalists emphasise that mental processes are not to be reduced to what realises them [Heil]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
'Multiple realisability' needs to clearly distinguish low-level realisers from what is realised [Heil]
Multiple realisability is not a relation among properties, but an application of predicates to resembling things [Heil]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / c. Knowledge argument
A scientist could know everything about the physiology of headaches, but never have had one [Heil]
18. Thought / A. Modes of Thought / 1. Thought
Is mental imagery pictorial, or is it propositional? [Heil]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology and neuroscience are no more competitors than cartography and geology are [Heil]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Truth-conditions correspond to the idea of 'literal meaning' [Heil]
19. Language / A. Nature of Meaning / 7. Meaning Holism / b. Language holism
To understand 'birds warble' and 'tigers growl', you must also understand 'tigers warble' [Heil]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
If propositions are abstract entities, how do human beings interact with them? [Heil]
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
Maybe motion is a dynamical quantity intrinsic to a thing at a particular time [Sider]
27. Natural Reality / C. Space / 6. Space-Time
Space is 3D and lacks a direction; time seems connected to causation [Sider]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
Between presentism and eternalism is the 'growing block' view - the past is real, the future is not [Sider]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentists must deny truths about multiple times [Sider]
For Presentists there must always be a temporal vantage point for any description [Sider]
27. Natural Reality / D. Time / 2. Passage of Time / c. Tenses and time
Talk using tenses can be eliminated, by reducing it to indexical connections for an utterance [Sider]
27. Natural Reality / D. Time / 2. Passage of Time / f. Tenseless (B) series
The B-series involves eternalism, and the reduction of tense [Sider]
The B-theory is adequate, except that it omits to say which time is present [Sider]