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All the ideas for 'The Discourses', 'Axiomatic Theories of Truth' and 'works'

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112 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
There is practical wisdom (for action), and theoretical wisdom (for deep understanding) [Aristotle, by Whitcomb]
1. Philosophy / A. Wisdom / 2. Wise People
A wise philosophers uses reason to cautiously judge each aspect of living [Epictetus]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
The task of philosophy is to establish standards, as occurs with weights and measures [Epictetus]
Philosophy is knowing each logos, how they fit together, and what follows from them [Epictetus]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy investigates the causes of disagreements, and seeks a standard for settling them [Epictetus]
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 / A. Nature of Reason / 2. Logos
For Aristotle logos is essentially the ability to talk rationally about questions of value [Roochnik on Aristotle]
2. Reason / A. Nature of Reason / 4. Aims of Reason
Aristotle is the supreme optimist about the ability of logos to explain nature [Roochnik on Aristotle]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Reason itself must be compounded from some of our impressions [Epictetus]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Because reason performs all analysis, we should analyse reason - but how? [Epictetus]
2. Reason / D. Definition / 2. Aims of Definition
An explicit definition enables the elimination of what is defined [Halbach]
2. Reason / D. Definition / 4. Real Definition
Aristotelian definitions aim to give the essential properties of the thing defined [Aristotle, by Quine]
2. Reason / D. Definition / 5. Genus and Differentia
Aristotelian definition involves first stating the genus, then the differentia of the thing [Aristotle, by Urmson]
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]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki]
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 / 1. Logical Form
For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
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]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
The unmoved mover and the soul show Aristotelian form as the ultimate mereological atom [Aristotle, by Koslicki]
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
The 'form' is the recipe for building wholes of a particular kind [Aristotle, by Koslicki]
10. Modality / A. Necessity / 2. Nature of Necessity
Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
For Aristotle, knowledge is of causes, and is theoretical, practical or productive [Aristotle, by Code]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
We can't believe apparent falsehoods, or deny apparent truths [Epictetus]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
The notion of a priori truth is absent in Aristotle [Aristotle, by Politis]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is most obvious when people who deny a proposition still have to use it [Epictetus]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Aristotle is a rationalist, but reason is slowly acquired through perception and experience [Aristotle, by Frede,M]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Aristotle wants to fit common intuitions, and therefore uses language as a guide [Aristotle, by Gill,ML]
14. Science / B. Scientific Theories / 1. Scientific Theory
Plato says sciences are unified around Forms; Aristotle says they're unified around substance [Aristotle, by Moravcsik]
14. Science / D. Explanation / 1. Explanation / a. Explanation
Aristotelian explanations are facts, while modern explanations depend on human conceptions [Aristotle, by Politis]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Aristotle's standard analysis of species and genus involves specifying things in terms of something more general [Aristotle, by Benardete,JA]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Aristotle regularly says that essential properties explain other significant properties [Aristotle, by Kung]
16. Persons / F. Free Will / 1. Nature of Free Will
We make progress when we improve and naturalise our choices, asserting their freedom [Epictetus]
Freedom is acting by choice, with no constraint possible [Epictetus]
Freedom is making all things happen by choice, without constraint [Epictetus]
16. Persons / F. Free Will / 2. Sources of Free Will
Zeus gave me a nature which is free (like himself) from all compulsion [Epictetus]
16. Persons / F. Free Will / 3. Constraints on the will
Not even Zeus can control what I choose [Epictetus]
16. Persons / F. Free Will / 4. For Free Will
You can fetter my leg, but not even Zeus can control my power of choice [Epictetus]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
If we could foresee the future, we should collaborate with disease and death [Epictetus]
16. Persons / F. Free Will / 6. Determinism / b. Fate
If I know I am fated to be ill, I should want to be ill [Epictetus]
18. Thought / A. Modes of Thought / 5. Rationality / c. Animal rationality
Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji]
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
19. Language / E. Analyticity / 2. Analytic Truths
The notion of analytic truth is absent in Aristotle [Aristotle, by Politis]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Epictetus developed a notion of will as the source of our responsibility [Epictetus, by Frede,M]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Tragedies are versified sufferings of people impressed by externals [Epictetus]
Homer wrote to show that the most blessed men can be ruined by poor judgement [Epictetus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Aristotle never actually says that man is a rational animal [Aristotle, by Fogelin]
We consist of animal bodies and god-like reason [Epictetus]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Every species produces exceptional beings, and we must just accept their nature [Epictetus]
22. Metaethics / B. Value / 2. Values / e. Death
Don't be frightened of pain or death; only be frightened of fearing them [Epictetus]
I will die as becomes a person returning what he does not own [Epictetus]
22. Metaethics / B. Value / 2. Values / g. Love
Knowledge of what is good leads to love; only the wise, who distinguish good from evil, can love [Epictetus]
22. Metaethics / B. Value / 2. Values / j. Evil
The evil for everything is what is contrary to its nature [Epictetus]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
The essences of good and evil are in dispositions to choose [Epictetus]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
All human ills result from failure to apply preconceptions to particular cases [Epictetus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / a. Natural virtue
We have a natural sense of honour [Epictetus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
If someone harms themselves in harming me, then I harm myself by returning the harm [Epictetus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
In the Discourses choice [prohairesis] defines our character and behaviour [Epictetus, by Frede,M]
23. Ethics / C. Virtue Theory / 4. External Goods / b. Health
Health is only a good when it is used well [Epictetus]
24. Political Theory / A. Basis of a State / 1. A People / b. The natural life
A person is as naturally a part of a city as a foot is part of the body [Epictetus]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
We are citizens of the universe, and principal parts of it [Epictetus]
24. Political Theory / B. Nature of a State / 4. Citizenship
A citizen is committed to ignore private advantage, and seek communal good [Epictetus]
A citizen should only consider what is good for the whole society [Epictetus]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Punishing a criminal for moral ignorance is the same as punishing someone for being blind [Epictetus]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
It is the mark of an educated mind to be able to entertain an idea without accepting it [Aristotle]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Aristotle said the educated were superior to the uneducated as the living are to the dead [Aristotle, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
Asses are born to carry human burdens, not as ends in themselves [Epictetus]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
There are potential infinities (never running out), but actual infinity is incoherent [Aristotle, by Friend]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
Aristotle's matter can become any other kind of matter [Aristotle, by Wiggins]
28. God / A. Divine Nature / 2. Divine Nature
God created humans as spectators and interpreters of God's works [Epictetus]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
Both god and the good bring benefits, so their true nature seems to be the same [Epictetus]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
The concepts of gods arose from observing the soul, and the cosmos [Aristotle, by Sext.Empiricus]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Each of the four elements in you is entirely scattered after death [Epictetus]