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All the ideas for 'Mahaprajnaparamitashastra', 'Elements of the Philosophy of Right' and 'Axiomatic Theories of Truth'

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101 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom emerges at the end of a process [Hegel]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is exploration of the rational [Hegel]
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 / 5. Objectivity
Subjective and objective are not firmly opposed, but merge into one another [Hegel]
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 / A. Nature of Existence / 3. Being / h. Dasein (being human)
Personality overcomes subjective limitations and posits Dasein as its own [Hegel]
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]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
It is a rejection of intellectual dignity to say that we cannot know the truth [Hegel]
16. Persons / A. Concept of a Person / 4. Persons as Agents
A person is a being which is aware of its own self-directed and free subjectivity [Hegel]
16. Persons / E. Rejecting the Self / 2. Self as Social Construct
A human only become a somebody as a member of a social estate [Hegel]
Individuals attain their right by discovering their self-consciousness in institutions [Hegel]
16. Persons / F. Free Will / 1. Nature of Free Will
A free will primarily wills its own freedoom [Hegel, by Houlgate]
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 / a. Will to Act
The concept of the will is the free will which wills its freedom [Hegel]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Evil enters a good will when we believe we are doing right, but allow no criticism of our choice [Hegel, by Houlgate]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Conscience is the right of the self to know what is right and obligatory, and thus make them true [Hegel]
22. Metaethics / B. Value / 2. Values / g. Love
Love is ethical life in its natural form [Hegel]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
23. Ethics / D. Deontological Ethics / 3. Universalisability
You can't have a morality which is supplied by the individual, but is also genuinely universal [Hegel, by MacIntyre]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
Be a person, and respect other persons [Hegel]
The categorical imperative lacks roots in a historical culture [Hegel, by Bowie]
The categorical imperative is fine if you already have a set of moral principles [Hegel]
23. Ethics / F. Existentialism / 1. Existentialism
The good is realised freedom [Hegel]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
The family is the first basis of the state, but estates are a necessary second [Hegel]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
We cannot assert rights which are unnatural [Hegel]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
I aim to portray the state as a rational entity [Hegel]
Society draws people, and requires their work, making them wholly dependent on it [Hegel]
The state is the march of God in the world [Hegel]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Individuals can't leave the state, because they are natural citizens, and humans require a state [Hegel]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
A fully developed state is conscious and knows what it wills [Hegel]
The people do not have the ability to know the general will [Hegel]
The great man of the ages is the one who reveals and accomplishes the will of his time [Hegel]
24. Political Theory / B. Nature of a State / 3. Constitutions
A constitution embodies a nation's rights and condition [Hegel]
24. Political Theory / B. Nature of a State / 4. Citizenship
Individuals must dedicate themselves to the ethical whole, and give their lives when asked [Hegel]
Social groups must focus on the state, which must in turn respect their inclusion and their will [Hegel]
People can achieve respect for their state by insight into its essence [Hegel]
24. Political Theory / D. Ideologies / 3. Conservatism
In the 1840s Hegel seemed to defend society being right as it is, as a manifestation of Mind [Hegel, by Singer]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
Majority rule means obligations can be imposed on me [Hegel]
The state should reflect all interests, and not just popular will, or a popular party [Hegel, by Houlgate]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
In modern states an individual's actions should be their choice [Hegel]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Moral individuals become ethical when they see the social aspect of a matter [Hegel, by Houlgate]
For Hegel, the moral life can only be led within a certain type of community [Hegel, by MacIntyre]
24. Political Theory / D. Ideologies / 12. Feminism
Even educated women are unsuited to science, philosophy, art and government [Hegel]
25. Social Practice / A. Freedoms / 1. Slavery
Slaves have no duties because they have no rights [Hegel]
Slaves are partly responsible for their own condition [Hegel]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
True liberal freedom is to pursue something, while being free to cease the pursuit [Hegel, by Houlgate]
People assume they are free, but the options available are not under their control [Hegel]
25. Social Practice / A. Freedoms / 6. Political freedom
Freedom requires us to submit to a family, or a corporation, or a state [Hegel, by Houlgate]
25. Social Practice / B. Equalities / 4. Economic equality
Money is the best way to achieve just equality [Hegel]
25. Social Practice / C. Rights / 1. Basis of Rights
Rights imply duties, and duties imply rights [Hegel]
25. Social Practice / C. Rights / 4. Property rights
Man has an absolute right to appropriate things [Hegel]
Because only human beings can own property, everything else can become our property [Hegel]
A community does not have the property-owning rights that a person has [Hegel]
The owner of a thing is obviously the first person to freely take possession of it [Hegel]
25. Social Practice / E. Policies / 1. War / a. Just wars
Wars add strength to a nation, and cure internal dissension [Hegel]
25. Social Practice / E. Policies / 5. Education / a. Aims of education
Children need discipline, to break their self-will and eradicate sensuousness [Hegel]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
To have pagan beliefs and be a pagan are quite different [Hegel]
Some religions lead to harsh servitude and the debasement of human beings [Hegel]