Combining Texts

All the ideas for 'Dissoi Logoi - on Double Arguments', 'On Formally Undecidable Propositions' and 'Beyond Good and Evil'

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


63 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]
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 / a. Tarski's truth definition
Prior to Gödel we thought truth in mathematics consisted in provability [Gödel, by Quine]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
True and false statements can use exactly the same words [Anon (Diss)]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Gödel show that the incompleteness of set theory was a necessity [Gödel, by Hallett,M]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
The limitations of axiomatisation were revealed by the incompleteness theorems [Gödel, by Koellner]
5. Theory of Logic / K. Features of Logics / 2. Consistency
Second Incompleteness: nice theories can't prove their own consistency [Gödel, by Smith,P]
5. Theory of Logic / K. Features of Logics / 3. Soundness
If soundness can't be proved internally, 'reflection principles' can be added to assert soundness [Gödel, by Halbach/Leigh]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
Gödel's First Theorem sabotages logicism, and the Second sabotages Hilbert's Programme [Smith,P on Gödel]
The undecidable sentence can be decided at a 'higher' level in the system [Gödel]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
There can be no single consistent theory from which all mathematical truths can be derived [Gödel, by George/Velleman]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Gödel showed that arithmetic is either incomplete or inconsistent [Gödel, by Rey]
First Incompleteness: arithmetic must always be incomplete [Gödel, by Smith,P]
Arithmetical truth cannot be fully and formally derived from axioms and inference rules [Gödel, by Nagel/Newman]
Gödel's Second says that semantic consequence outruns provability [Gödel, by Hanna]
First Incompleteness: a decent consistent system is syntactically incomplete [Gödel, by George/Velleman]
Second Incompleteness: a decent consistent system can't prove its own consistency [Gödel, by George/Velleman]
There is a sentence which a theory can show is true iff it is unprovable [Gödel, by Smith,P]
'This system can't prove this statement' makes it unprovable either way [Gödel, by Clegg]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Realists are happy with impredicative definitions, which describe entities in terms of other existing entities [Gödel, by Shapiro]
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]
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
Anything can be acceptable in some circumstances and unacceptable in others [Anon (Diss)]
Lydians prostitute their daughters to raise a dowery, but no Greek would marry such a girl [Anon (Diss)]
Thracians think tattooing adds to a girl's beauty, but elsewhere it is a punishment [Anon (Diss)]
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]
17. Mind and Body / C. Functionalism / 2. Machine Functionalism
Basic logic can be done by syntax, with no semantics [Gödel, by Rey]
18. Thought / B. Mechanics of Thought / 1. Psychology
It is psychology which reveals the basic problems [Nietzsche]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
How could someone who knows everything fail to act correctly? [Anon (Diss)]
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
Every apparent crime can be right in certain circumstances [Anon (Diss), by PG]
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]
It is right to lie to someone, to get them to take medicine they are reluctant to take [Anon (Diss)]
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 / b. Consultation
The first priority in elections is to vote for people who support democracy [Anon (Diss)]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Democracy diminishes mankind, making them mediocre and lowering their value [Nietzsche]
25. Social Practice / E. Policies / 5. Education / c. Teaching
We learn language, and we don't know who teaches us it [Anon (Diss)]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christianity is Platonism for the people [Nietzsche]