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All the ideas for 'fragments/reports', 'On the Genealogy of Morals' and 'Frege philosophy of mathematics'

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55 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
The main aim of philosophy must be to determine the order of rank among values [Nietzsche]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Scientific knowledge is nothing without a prior philosophical 'faith' [Nietzsche]
2. Reason / A. Nature of Reason / 5. Objectivity
Objectivity is not disinterestedness (impossible), but the ability to switch perspectives [Nietzsche]
2. Reason / D. Definition / 3. Types of Definition
Only that which has no history is definable [Nietzsche]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
3. Truth / A. Truth Problems / 3. Value of Truth
Psychologists should be brave and proud, and prefer truth to desires, even when it is ugly [Nietzsche]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
Philosophers have never asked why there is a will to truth in the first place [Nietzsche]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Forgetfulness is a strong positive ability, not mental laziness [Nietzsche]
13. Knowledge Criteria / E. Relativism / 1. Relativism
There is only 'perspective' seeing and knowing, and so the best objectivity is multiple points of view [Nietzsche]
16. Persons / F. Free Will / 5. Against Free Will
Philosophers invented "free will" so that our virtues would be permanently interesting to the gods [Nietzsche]
18. Thought / A. Modes of Thought / 1. Thought
People who think in words are orators rather than thinkers, and think about facts instead of thinking facts [Nietzsche]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
20. Action / A. Definition of Action / 1. Action Theory
It is a delusion to separate the man from the deed, like the flash from the lightning [Nietzsche]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
We must question the very value of moral values [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The concept of 'good' was created by aristocrats to describe their own actions [Nietzsche]
A strong rounded person soon forgets enemies, misfortunes, and even misdeeds [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
All animals strive for the ideal conditions to express their power, and hate any hindrances [Nietzsche]
23. Ethics / A. Egoism / 1. Ethical Egoism
Only the decline of aristocratic morality led to concerns about "egoism" [Nietzsche]
Nietzsche rejects impersonal morality, and asserts the idea of living well [Nietzsche, by Nagel]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Basic justice is the negotiation of agreement among equals, and the imposition of agreement [Nietzsche]
A masterful and violent person need have nothing to do with contracts [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
Plato, Spinoza and Kant are very different, but united in their low estimation of pity [Nietzsche]
23. Ethics / D. Deontological Ethics / 2. Duty
Guilt and obligation originated in the relationship of buying and selling, credit and debt [Nietzsche]
23. Ethics / F. Existentialism / 1. Existentialism
If we say birds of prey could become lambs, that makes them responsible for being birds of prey [Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
Modern nihilism is now feeling tired of mankind [Nietzsche]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
Old tribes always felt an obligation to the earlier generations, and the founders [Nietzsche]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / b. Natural authority
The state begins with brutal conquest of a disorganised people, not with a 'contract' [Nietzsche]
25. Social Practice / D. Justice / 3. Punishment / d. Reform of offenders
Punishment makes people harder, more alienated, and hostile [Nietzsche]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]
28. God / A. Divine Nature / 1. God
There is a remote first god (the Good), and a second god who organises the material world [Numenius, by O'Meara]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
The truly great haters in world history have always been priests [Nietzsche]