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All the ideas for 'Frege's Concept of Numbers as Objects', 'Lectures on Aesthetics' and 'Dawn (Daybreak)'

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93 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Don't use wisdom in order to become clever! [Nietzsche]
1. Philosophy / C. History of Philosophy / 1. History of Philosophy
We can only learn from philosophers of the past if we accept the risk of major misrepresentation [Wright,C]
1. Philosophy / C. History of Philosophy / 4. Later European Philosophy / d. Nineteenth century philosophy
Early 19th century German philosophers enjoyed concepts, rather than scientific explanations [Nietzsche]
Carlyle spent his life vainly trying to make reason appear romantic [Nietzsche]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
What we think is totally dictated by the language available to express it [Nietzsche]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
The desire for a complete system requires making the weak parts look equal to the rest [Nietzsche]
2. Reason / C. Styles of Reason / 1. Dialectic
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
3. Truth / A. Truth Problems / 2. Defining Truth
Genuine truth is the resolution of the highest contradiction [Hegel]
3. Truth / A. Truth Problems / 3. Value of Truth
What I hold true must also be part of my feelings and character [Hegel]
Why should truth be omnipotent? It is enough that it is very powerful [Nietzsche]
3. Truth / A. Truth Problems / 4. Uses of Truth
Like animals, we seek truth because we want safety [Nietzsche]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
An expression refers if it is a singular term in some true sentences [Wright,C, by Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
There are five Peano axioms, which can be expressed informally [Wright,C]
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
What facts underpin the truths of the Peano axioms? [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Number platonism says that natural number is a sortal concept [Wright,C]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We can't use empiricism to dismiss numbers, if numbers are our main evidence against empiricism [Wright,C]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Treating numbers adjectivally is treating them as quantifiers [Wright,C]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
The Peano Axioms, and infinity of cardinal numbers, are logical consequences of how we explain cardinals [Wright,C]
The aim is to follow Frege's strategy to derive the Peano Axioms, but without invoking classes [Wright,C]
Wright has revived Frege's discredited logicism [Wright,C, by Benardete,JA]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seemed to fail by Russell's paradox, Gödel's theorems, and non-logical axioms [Wright,C]
The standard objections are Russell's Paradox, non-logical axioms, and Gödel's theorems [Wright,C]
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Singular terms in true sentences must refer to objects; there is no further question about their existence [Wright,C]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Contextually defined abstract terms genuinely refer to objects [Wright,C, by Dummett]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Sortal concepts cannot require that things don't survive their loss, because of phase sortals [Wright,C]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
Most people treat knowledge as a private possession [Nietzsche]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
We may be unable to remember, but we may never actually forget [Nietzsche]
14. Science / B. Scientific Theories / 1. Scientific Theory
There is no one scientific method; we must try many approaches, and many emotions [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
We can cultivate our drives, of anger, pity, curiosity, vanity, like a gardener, with good or bad taste [Nietzsche]
16. Persons / C. Self-Awareness / 2. Knowing the Self
Things are the boundaries of humanity, so all things must be known, for self-knowledge [Nietzsche]
Our knowledge of the many drives that constitute us is hopelessly incomplete [Nietzsche]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
People used to think that outcomes were from God, rather than consequences of acts [Nietzsche]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
A concept is only a sortal if it gives genuine identity [Wright,C]
'Sortal' concepts show kinds, use indefinite articles, and require grasping identities [Wright,C]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
Entities fall under a sortal concept if they can be used to explain identity statements concerning them [Wright,C]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
If we can establish directions from lines and parallelism, we were already committed to directions [Wright,C]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
A milder claim is that understanding requires some evidence of that understanding [Wright,C]
19. Language / B. Reference / 1. Reference theories
If apparent reference can mislead, then so can apparent lack of reference [Wright,C]
19. Language / C. Assigning Meanings / 3. Predicates
We can accept Frege's idea of object without assuming that predicates have a reference [Wright,C]
19. Language / F. Communication / 1. Rhetoric
It is essential that wise people learn to express their wisdom, possibly even as foolishness [Nietzsche]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Actions done for a purpose are least understood, because we complacently think it's obvious [Nietzsche]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Nineteenth century aesthetics focused on art rather than nature (thanks to Hegel) [Hegel, by Scruton]
21. Aesthetics / A. Aesthetic Experience / 2. Aesthetic Attitude
Hegel largely ignores aesthetic pleasure, taste and beauty, and focuses on the meaning of artworks [Hegel, by Pinkard]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Beauty in art is the imitation of happiness [Nietzsche]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Natural beauty is unimportant, because it doesn't show human freedom [Hegel, by Pinkard]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
For Hegel the importance of art concerns the culture, not the individual [Hegel, by Eldridge]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
The purpose of art is to reveal to Spirit its own nature [Hegel, by Davies,S]
The main purpose of art is to express the unity of human life [Hegel]
Art forms a bridge between the sensuous world and the world of pure thought [Hegel]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
The very idea of a critique of morality is regarded as immoral! [Nietzsche]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
Morality prevents us from developing better customs [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Moral feelings are entirely different from the moral concepts used to judge actions [Nietzsche]
Treating morality as feelings is just obeying your ancestors [Nietzsche]
22. Metaethics / B. Value / 2. Values / c. Life
Human beings are not majestic, either through divine origins, or through grand aims [Nietzsche]
22. Metaethics / B. Value / 2. Values / e. Death
Most dying people have probably lost more important things than what they are about to lose [Nietzsche]
22. Metaethics / B. Value / 2. Values / g. Love
Marriage is too serious to be permitted for people in love! [Nietzsche]
Marriage upholds the idea that love, though a passion, can endure [Nietzsche]
Fear reveals the natures of other people much more clearly than love does [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
Punishment has distorted the pure innocence of the contingency of outcomes [Nietzsche]
23. Ethics / A. Egoism / 1. Ethical Egoism
People do nothing for their real ego, but only for a phantom ego created by other people [Nietzsche]
23. Ethics / B. Contract Ethics / 2. Golden Rule
If you feel to others as they feel to themselves, you must hate a self-hater [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Honesty is a new young virtue, and we can promote it, or not [Nietzsche]
The Jews treated great anger as holy, and were in awe of those who expressed it [Nietzsche]
Christianity replaces rational philosophical virtues with great passions focused on God [Nietzsche]
The cardinal virtues want us to be honest, brave, magnanimous and polite [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Cool courage and feverish bravery have one name, but are two very different virtues [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
Teach youth to respect people who differ with them, not people who agree with them [Nietzsche]
23. Ethics / D. Deontological Ethics / 2. Duty
Seeing duty as a burden makes it a bit cruel, and it can thus never become a habit [Nietzsche]
23. Ethics / F. Existentialism / 6. Authentic Self
Most people think they are already complete, but we can cultivate ourselves [Nietzsche]
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
No authority ever willingly accepts criticism [Nietzsche]
24. Political Theory / C. Ruling a State / 3. Government / a. Government
People govern for the pleasure of it, or just to avoid being governed [Nietzsche]
24. Political Theory / C. Ruling a State / 4. Changing the State / c. Revolution
The French Revolution gave trusting Europe the false delusion of instant recovery [Nietzsche]
25. Social Practice / D. Justice / 3. Punishment / a. Right to punish
Get rid of the idea of punishment! It is a noxious weed! [Nietzsche]
25. Social Practice / E. Policies / 1. War / a. Just wars
Modern wars arise from the study of history [Nietzsche]
25. Social Practice / E. Policies / 5. Education / d. Study of history
History does not concern what really happened, but supposed events, which have all the influence [Nietzsche]
27. Natural Reality / G. Biology / 3. Evolution
Enquirers think finding our origin is salvation, but it turns out to be dull [Nietzsche]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christianity hoped for a short cut to perfection, that skipped the hard labour of morality [Nietzsche]
Christianity was successful because of its heathen rituals [Nietzsche]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
'I believe because it is absurd' - but how about 'I believe because I am absurd' [Nietzsche]
29. Religion / D. Religious Issues / 2. Immortality / b. Soul
The easy and graceful aspects of a person are called 'soul', and inner awkwardness is called 'soulless' [Nietzsche]