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All the ideas for 'Frege philosophy of mathematics', 'works' and 'Metaphysics of Morals II:Doctrine of Virtue'

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58 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Moral self-knowledge is the beginning of all human wisdom [Kant]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
For any subject, its system of non-experiential concepts needs a metaphysics [Kant]
2. Reason / A. Nature of Reason / 1. On Reason
Philosophers should not offer multiple proofs - suggesting the weakness of each of them [Kant]
2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
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]
10. Modality / B. Possibility / 1. Possibility
That a concept is not self-contradictory does not make what it represents possible [Kant]
16. Persons / A. Concept of a Person / 4. Persons as Agents
Within nature man is unimportant, but as moral person he is above any price [Kant]
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]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / a. Preconditions for ethics
Duty is impossible without prior moral feeling, conscience, love and self-respect [Kant]
Levinas took 'first philosophy' to begin with seeing the vulnerable faces of others [Levinas, by Aho]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Moral principles do not involve feelings [Kant]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
The love of man is required in order to present the world as a beautiful and perfect moral whole [Kant]
All morality directs the will to love of others' ends, and respect for others' rights [Kant]
22. Metaethics / B. Value / 2. Values / g. Love
The duty of love is to makes the ends of others one's own [Kant]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
A duty of virtue is a duty which is also an end [Kant]
Virtue is strong maxims for duty [Kant]
The supreme principle of virtue is to find universal laws for ends [Kant]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
We are obliged to show the social virtues, but at least they make a virtuous disposition fashionable [Kant]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
If virtue becomes a habit, that is a loss of the freedom needed for adopting maxims [Kant]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / f. The Mean
How do we distinguish a mean? The extremes can involve quite different maxims [Kant]
If virtue is the mean between vices, then virtue is just the vanishing of vice [Kant]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
There is one principle of virtues; the virtues are distinguished by their objects [Kant]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
We can love without respect, and show respect without love [Kant]
Respect is limiting our self-esteem by attending to the human dignity of other persons [Kant]
Disrespect is using a person as a mere means to my own ends [Kant]
Respect is purely negative (of not exalting oneself over others), and is thus a duty of Right [Kant]
Love urges us to get closer to people, but respect to keep our distance [Kant]
We must respect the humanity even in a vicious criminal [Kant]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Humans are distinguished from animals by their capacity to set themselves any sort of end [Kant]
Man is both social, and unsociable [Kant]
24. Political Theory / D. Ideologies / 9. Communism
Levinas says Marxism is the replacement of individualist ethics, by solidarity and sociality [Levinas, by Critchley]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Violation of rights deserves punishment, which is vengeance, rather than restitution [Kant]
25. Social Practice / F. Life Issues / 6. Animal Rights
Men can only have duties to those who qualify as persons [Kant]
Cruelty to animals is bad because it dulls our empathy for pain in humans [Kant]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]