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All the ideas for 'Axiomatic Theories of Truth', 'Laudatio: Prof Ruth Barcan Marcus' and 'Beyond Good and Evil'

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84 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Great philosophies are confessions by the author, growing out of moral intentions [Nietzsche]
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Metaphysics divided the old unified Greek world into two [Nietzsche, by Critchley]
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 / A. Truth Problems / 3. Value of Truth
Why do we want truth, rather than falsehood or ignorance? The value of truth is a problem [Nietzsche]
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 / D. Modal Logic ML / 7. Barcan Formula
If a property is possible, there is something which can have it [Williamson]
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 / A. Nature of Existence / 3. Being / c. Becoming
Nietzsche resists nihilism through new values, for a world of becoming, without worship [Nietzsche, by Critchley]
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]
10. Modality / A. Necessity / 2. Nature of Necessity
Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach]
12. Knowledge Sources / B. Perception / 5. Interpretation
We see an approximation of a tree, not the full detail [Nietzsche]
13. Knowledge Criteria / B. Internal Justification / 2. Pragmatic justification
We shouldn't object to a false judgement, if it enhances and preserves life [Nietzsche]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Morality becomes a problem when we compare many moralities [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
The ranking of a person's innermost drives reveals their true nature [Nietzsche]
16. Persons / F. Free Will / 5. Against Free Will
A thought comes when 'it' wants, not when 'I' want [Nietzsche]
Wanting 'freedom of will' is wanting to pull oneself into existence out of the swamp of nothingness by one's own hair [Nietzsche]
18. Thought / B. Mechanics of Thought / 1. Psychology
It is psychology which reveals the basic problems [Nietzsche]
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
The most boring and dangerous of all errors is Plato's invention of pure spirit and goodness [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Nietzsche felt that Plato's views downgraded the human body and its brevity of life [Nietzsche, by Roochnik]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Noble people see themselves as the determiners of values [Nietzsche]
Nietzsche's judgement of actions by psychology instead of outcome was poisonous [Foot on Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
That which is done out of love always takes place beyond good and evil [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
Nature is totally indifferent, so you should try to be different from it, not live by it [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
Morality originally judged people, and actions only later on [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
In the earliest phase of human history only consequences mattered [Nietzsche]
23. Ethics / A. Egoism / 1. Ethical Egoism
The noble soul has reverence for itself [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Moralities extravagantly address themselves to 'all', by falsely generalising [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Virtue has been greatly harmed by the boringness of its advocates [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The four virtues are courage, insight, sympathy, solitude [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
In ancient Rome pity was considered neither good nor bad [Nietzsche]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
The idea of the categorical imperative is just that we should all be very obedient [Nietzsche]
23. Ethics / E. Utilitarianism / 3. Motivation for Altruism
The morality of slaves is the morality of utility [Nietzsche]
23. Ethics / F. Existentialism / 1. Existentialism
The greatest possibilities in man are still unexhausted [Nietzsche]
23. Ethics / F. Existentialism / 3. Angst
The thought of suicide is a great reassurance on bad nights [Nietzsche]
The freedom of the subject means the collapse of moral certainty [Nietzsche, by Critchley]
23. Ethics / F. Existentialism / 6. Authentic Self
Man is the animal whose nature has not yet been fixed [Nietzsche]
Nietzsche thinks the human condition is to overcome and remake itself [Nietzsche, by Ansell Pearson]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
The great person engages wholly with life, and is happy to endlessly relive the life they created [Nietzsche]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
Only aristocratic societies can elevate the human species [Nietzsche]
A healthy aristocracy has no qualms about using multitudes of men as instruments [Nietzsche]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Democracy diminishes mankind, making them mediocre and lowering their value [Nietzsche]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christianity is Platonism for the people [Nietzsche]