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All the ideas for 'Natural Goodness', 'Axiomatic Theories of Truth' and 'The Philosophy of Nature: new essentialism'

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102 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom only implies the knowledge achievable in any normal lifetime [Foot]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Essentialism says metaphysics can't be done by analysing unreliable language [Ellis]
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
Kripke-Feferman theory KF axiomatises Kripke fixed-points, with Strong Kleene logic with gluts [Halbach]
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]
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]
8. Modes of Existence / B. Properties / 3. Types of Properties
Properties are 'dispositional', or 'categorical' (the latter as 'block' or 'intrinsic' structures) [Ellis, by PG]
8. Modes of Existence / B. Properties / 6. Categorical Properties
The passive view of nature says categorical properties are basic, but others say dispositions [Ellis]
8. Modes of Existence / B. Properties / 12. Denial of Properties
Redness is not a property as it is not mind-independent [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
Properties have powers; they aren't just ways for logicians to classify objects [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
Nearly all fundamental properties of physics are dispositional [Ellis]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Kripke and others have made essentialism once again respectable [Ellis]
9. Objects / D. Essence of Objects / 2. Types of Essence
'Individual essences' fix a particular individual, and 'kind essences' fix the kind it belongs to [Ellis]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Essential properties are usually quantitatively determinate [Ellis]
9. Objects / D. Essence of Objects / 13. Nominal Essence
'Real essence' makes it what it is; 'nominal essence' makes us categorise it a certain way [Ellis]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
One thing can look like something else, without being the something else [Ellis]
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 / 1. Possibility
Scientific essentialists say science should define the limits of the possible [Ellis]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
Essentialists deny possible worlds, and say possibilities are what is compatible with the actual world [Ellis]
10. Modality / C. Sources of Modality / 6. Necessity from Essence
Metaphysical necessities are true in virtue of the essences of things [Ellis]
10. Modality / D. Knowledge of Modality / 3. A Posteriori Necessary
Essentialists say natural laws are in a new category: necessary a posteriori [Ellis]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Imagination tests what is possible for all we know, not true possibility [Ellis]
10. Modality / E. Possible worlds / 1. Possible Worlds / c. Possible worlds realism
Possible worlds realism is only needed to give truth conditions for modals and conditionals [Ellis]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
Essentialists mostly accept the primary/secondary qualities distinction [Ellis]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Primary qualities are number, figure, size, texture, motion, configuration, impenetrability and (?) mass [Ellis]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
Emeralds are naturally green, and only an external force could turn them blue [Ellis]
14. Science / D. Explanation / 2. Types of Explanation / f. Necessity in explanations
Essentialists don't infer from some to all, but from essences to necessary behaviour [Ellis]
19. Language / C. Assigning Meanings / 3. Predicates
Predicates assert properties, values, denials, relations, conventions, existence and fabrications [Ellis, by PG]
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
20. Action / B. Preliminaries of Action / 2. Willed Action / c. Agent causation
Regularity theories of causation cannot give an account of human agency [Ellis]
20. Action / C. Motives for Action / 1. Acting on Desires
Humans have variable dispositions, and also power to change their dispositions [Ellis]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
All criterions of practical rationality derive from goodness of will [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Moral reason is not just neutral, because morality is part of the standard of rationality [Foot, by Hacker-Wright]
Practical rationality must weigh both what is morally and what is non-morally required [Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Moral virtues arise from human nature, as part of what makes us good human beings [Foot, by Hacker-Wright]
Essentialism fits in with Darwinism, but not with extreme politics of left or right [Ellis]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Sterility is a human defect, but the choice to be childless is not [Foot]
Virtues are as necessary to humans as stings are to bees [Foot]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
Moral evaluations are not separate from facts, but concern particular facts about functioning [Foot]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Deep happiness usually comes from the basic things in life [Foot]
Happiness is enjoying the pursuit and attainment of right ends [Foot]
23. Ethics / A. Egoism / 1. Ethical Egoism
Good actions can never be justified by the good they brings to their agent [Foot]
23. Ethics / B. Contract Ethics / 5. Free Rider
We all know that just pretending to be someone's friend is not the good life [Foot]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Someone is a good person because of their rational will, not their body or memory [Foot]
23. Ethics / F. Existentialism / 7. Existential Action
Refraining from murder is not made good by authenticity or self-fulfilment [Foot]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Natural kinds are of objects/substances, or events/processes, or intrinsic natures [Ellis]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Essentialism says natural kinds are fundamental to nature, and determine the laws [Ellis]
26. Natural Theory / B. Natural Kinds / 6. Necessity of Kinds
For essentialists two members of a natural kind must be identical [Ellis]
The whole of our world is a natural kind, so all worlds like it necessarily have the same laws [Ellis]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
Essentialists regard inanimate objects as genuine causal agents [Ellis]
Essentialists believe causation is necessary, resulting from dispositions and circumstances [Ellis]
A general theory of causation is only possible in an area if natural kinds are involved [Ellis]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
For 'passivists' behaviour is imposed on things from outside [Ellis]
The laws of nature imitate the hierarchy of natural kinds [Ellis]
Laws of nature tend to describe ideal things, or ideal circumstances [Ellis]
We must explain the necessity, idealisation, ontology and structure of natural laws [Ellis]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
Causal relations cannot be reduced to regularities, as they could occur just once [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Essentialists say dispositions are basic, rather than supervenient on matter and natural laws [Ellis]
The essence of uranium is its atomic number and its electron shell [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
For essentialists, laws of nature are metaphysically necessary, being based on essences of natural kinds [Ellis]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
Essentialism requires a clear separation of semantics, epistemology and ontology [Ellis]