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All the ideas for 'Frege philosophy of mathematics', 'Thus Spake Zarathustra' and 'The Sublime and the Good'

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55 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 8. Humour
Reject wisdom that lacks laughter [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 / 7. Falsehood
To love truth, you must know how to lie [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]
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
The powerful self behind your thoughts and feelings is your body [Nietzsche]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Forget the word 'I'; 'I' is performed by the intelligence of your body [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 / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will is constantly frustrated by the past [Nietzsche]
21. Aesthetics / B. Nature of Art / 1. Defining Art
We should first decide what are the great works of art, with aesthetic theory following from that [Murdoch]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
Great art proves the absurdity of art for art's sake [Murdoch]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Because art is love, it improves us morally [Murdoch]
Art and morals are essentially the same, and are both identical with love [Murdoch]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
We created meanings, to maintain ourselves [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The noble man wants new virtues; the good man preserves what is old [Nietzsche]
22. Metaethics / B. Value / 2. Values / g. Love
We only really love children and work [Nietzsche]
Love is realising something other than oneself is real [Murdoch]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
I want my work, not happiness! [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Virtues can destroy one another, through jealousy [Nietzsche]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
People now find both wealth and poverty too much of a burden [Nietzsche]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
If you want friends, you must be a fighter [Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
The greatest experience possible is contempt for your own happiness, reason and virtue [Nietzsche]
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
An enduring people needs its own individual values [Nietzsche]
24. Political Theory / B. Nature of a State / 3. Constitutions
The state coldly claims that it is the people, but that is a lie [Nietzsche]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Saints want to live as they desire, or not to live at all [Nietzsche]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche]
25. Social Practice / F. Life Issues / 5. Sexual Morality
Man and woman are deeply strange to one another! [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 / 2. Divine Nature
I can only believe in a God who can dance [Nietzsche]
28. God / C. Attitudes to God / 5. Atheism
Not being a god is insupportable, so there are no gods! [Nietzsche]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
Heaven was invented by the sick and the dying [Nietzsche]
We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche]