Combining Texts

All the ideas for 'Axiomatic Theories of Truth', 'Reference and Definite Descriptions' and 'A Short History of Decay'

expand these ideas     |    start again     |     specify just one area for these texts


102 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Wisdom is just the last gasp of a dying civilization [Cioran]
1. Philosophy / B. History of Ideas / 1. History of Ideas
Intelligence only fully flourishes at the end of a historical period [Cioran]
Ideas are neutral, but people fill them with passion and weakness [Cioran]
The history of ideas (and deeds) occurs in a meaningless environment [Cioran]
Some thinkers would have been just as dynamic, no matter when they had lived [Cioran]
A nation gives expression to its sum of values, and is then exhausted [Cioran]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
I abandoned philosophy because it didn't acknowledge melancholy and human weakness [Cioran]
Originality in philosophy is just the invention of terms [Cioran]
The mind is superficial, only concerned with the arrangement of events, not their significance [Cioran]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
Metaphysics is a universalisation of physical anguish [Cioran]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Great systems of philosophy are just brilliant tautologies [Cioran]
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 / C. Styles of Reason / 1. Dialectic
No great idea ever emerged from a dialogue [Cioran]
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 / 9. Rejecting Truth
Truth is just an error insufficiently experienced [Cioran]
Eventually every 'truth' is guaranteed by the police [Cioran]
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 / F. Referring in Logic / 2. Descriptions / a. Descriptions
Russell only uses descriptions attributively, and Strawson only referentially [Donnellan, by Lycan]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
A definite description can have a non-referential use [Donnellan]
Definite descriptions are 'attributive' if they say something about x, and 'referential' if they pick x out [Donnellan]
'The x is F' only presumes that x exists; it does not actually entail the existence [Donnellan]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
An axiom has no more authority than a frenzy [Cioran]
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]
10. Modality / A. Necessity / 2. Nature of Necessity
Maybe necessity is a predicate, not the usual operator, to make it more like truth [Halbach]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / a. Consciousness
Our instincts had to be blunted and diminished, to make way for consciousness! [Cioran]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
We use concepts to master our fears; saying 'death' releases us from confronting it [Cioran]
19. Language / B. Reference / 4. Descriptive Reference / b. Reference by description
A definite description 'the F' is referential if the speaker could thereby be referring to something not-F [Donnellan, by Sainsbury]
Donnellan is unclear whether the referential-attributive distinction is semantic or pragmatic [Bach on Donnellan]
A description can successfully refer, even if its application to the subject is not believed [Donnellan]
19. Language / B. Reference / 5. Speaker's Reference
Whether a definite description is referential or attributive depends on the speaker's intention [Donnellan]
19. Language / D. Propositions / 4. Mental Propositions
We need propositions to ascribe the same beliefs to people with different languages [Halbach]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
I want to suppress in myself the normal reasons people have for action [Cioran]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics
At a civilisation's peak values are all that matters, and people unconsciously live by them [Cioran]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
Values don't accumulate; they are ruthlessly replaced [Cioran]
22. Metaethics / B. Value / 2. Values / g. Love
Lovers are hateful, apart from their hovering awareness of death [Cioran]
23. Ethics / F. Existentialism / 1. Existentialism
Man is never himself; he always aims at less than life, or more than life [Cioran]
To live authentically, we must see that philosophy is totally useless [Cioran]
23. Ethics / F. Existentialism / 2. Nihilism
The pointlessness of our motives and irrelevance of our gestures reveals our vacuity [Cioran]
Evidence suggests that humans do not have a purpose [Cioran]
The universe is dirty and fragile, as if a scandal in nothingness had produced its matter [Cioran]
23. Ethics / F. Existentialism / 3. Angst
Unlike other creatures, mankind seems lost in nature [Cioran]
We can only live because our imagination and memory are poor [Cioran]
Life is now more dreaded than death [Cioran]
23. Ethics / F. Existentialism / 4. Boredom
No one is brave enough to say they don't want to do anything; we despise such a view [Cioran]
If you lack beliefs, boredom is your martyrdom [Cioran]
History is the bloody rejection of boredom [Cioran]
You are stuck in the past if you don't know boredom [Cioran]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / b. Natural authority
It is pointless to refuse or accept the social order; we must endure it like the weather [Cioran]
24. Political Theory / C. Ruling a State / 2. Leaders / a. Autocracy
Opportunists can save a nation, and heroes can ruin it [Cioran]
25. Social Practice / E. Policies / 2. Religion in Society
The ideal is to impose a religion by force, and then live in doubt about its beliefs [Cioran]
25. Social Practice / E. Policies / 5. Education / d. Study of history
Despite endless suggestions, no one has found a goal for history [Cioran]
History is wonderfully devoid of meaning [Cioran]
25. Social Practice / F. Life Issues / 4. Suicide
Religions see suicide as insubordination [Cioran]
No one has ever found a good argument against suicide [Cioran]
If you have not contemplated suicide, you are a miserable worm [Cioran]
25. Social Practice / F. Life Issues / 5. Sexual Morality
We all need sexual secrets! [Cioran]
28. God / C. Attitudes to God / 4. God Reflects Humanity
Why is God so boring, and why does God resemble humanity so little? [Cioran]
29. Religion / C. Spiritual Disciplines / 2. Taoism
As the perfect wisdom of detachment, philosophy offers no rivals to Taoism [Cioran]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
When man abandons religion, he then follows new fake gods and mythologies [Cioran]
A religion needs to motivate killings, and cannot tolerate rivals [Cioran]
29. Religion / D. Religious Issues / 2. Immortality / e. Hell
Circles of hell are ridiculous; all that matters is to be there [Cioran]