Combining Texts

All the ideas for 'fragments/reports', 'The Nature of Mathematical Knowledge' and 'Beyond Good and Evil'

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69 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]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Intuitionists rely on assertability instead of truth, but assertability relies on truth [Kitcher]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A one-operation is the segregation of a single object [Kitcher]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Mathematical intuition is not the type platonism needs [Kitcher]
If mathematics comes through intuition, that is either inexplicable, or too subjective [Kitcher]
Intuition is no basis for securing a priori knowledge, because it is fallible [Kitcher]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Mathematical knowledge arises from basic perception [Kitcher]
My constructivism is mathematics as an idealization of collecting and ordering objects [Kitcher]
We derive limited mathematics from ordinary things, and erect powerful theories on their basis [Kitcher]
The defenders of complex numbers had to show that they could be expressed in physical terms [Kitcher]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Analyticity avoids abstract entities, but can there be truth without reference? [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Arithmetic is an idealizing theory [Kitcher]
Arithmetic is made true by the world, but is also made true by our constructions [Kitcher]
We develop a language for correlations, and use it to perform higher level operations [Kitcher]
Constructivism is ontological (that it is the work of an agent) and epistemological (knowable a priori) [Kitcher]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher]
If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher]
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]
9. Objects / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta
Abstract objects were a bad way of explaining the structure in mathematics [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
A priori knowledge comes from available a priori warrants that produce truth [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
In long mathematical proofs we can't remember the original a priori basis [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
Knowledge is a priori if the experience giving you the concepts thus gives you the knowledge [Kitcher]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
We have some self-knowledge a priori, such as knowledge of our own existence [Kitcher]
12. Knowledge Sources / B. Perception / 5. Interpretation
We see an approximation of a tree, not the full detail [Nietzsche]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
A 'warrant' is a process which ensures that a true belief is knowledge [Kitcher]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
If experiential can defeat a belief, then its justification depends on the defeater's absence [Kitcher, by Casullo]
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 / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
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
Nietzsche thinks the human condition is to overcome and remake itself [Nietzsche, by Ansell Pearson]
Man is the animal whose nature has not yet been fixed [Nietzsche]
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]