Combining Texts

All the ideas for 'fragments/reports', 'After Virtue: a Study in Moral Theory' and 'The Nature of Mathematical Knowledge'

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61 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
In the 17th-18th centuries morality offered a cure for egoism, through altruism [MacIntyre]
1. Philosophy / B. History of Ideas / 6. Twentieth Century Thought
Twentieth century social life is re-enacting eighteenth century philosophy [MacIntyre]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy has been marginalised by its failure in the Enlightenment to replace religion [MacIntyre]
2. Reason / A. Nature of Reason / 9. Limits of Reason
Proof is a barren idea in philosophy, and the best philosophy never involves proof [MacIntyre]
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]
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 / D. Empiricism / 5. Empiricism Critique
To find empiricism and science in the same culture is surprising, as they are really incompatible [MacIntyre]
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]
14. Science / A. Basis of Science / 4. Prediction
Unpredictability doesn't entail inexplicability, and predictability doesn't entail explicability [MacIntyre]
14. Science / B. Scientific Theories / 1. Scientific Theory
Social sciences discover no law-like generalisations, and tend to ignore counterexamples [MacIntyre]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation trades off accuracy for simplicity, in varying degrees [Kitcher]
16. Persons / E. Rejecting the Self / 3. Narrative Self
I can only make decisions if I see myself as part of a story [MacIntyre]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
AI can't predict innovation, or consequences, or external relations, or external events [MacIntyre]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / c. Purpose of ethics
The good life for man is the life spent seeking the good life for man [MacIntyre]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / d. Ethical theory
We still have the appearance and language of morality, but we no longer understand it [MacIntyre]
Unlike expressions of personal preference, evaluative expressions do not depend on context [MacIntyre]
Moral judgements now are anachronisms from a theistic age [MacIntyre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
The failure of Enlightenment attempts to justify morality will explain our own culture [MacIntyre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Mention of 'intuition' in morality means something has gone wrong with the argument [MacIntyre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
When 'man' is thought of individually, apart from all roles, it ceases to be a functional concept [MacIntyre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
In trying to explain the type of approval involved, emotivists are either silent, or viciously circular [MacIntyre]
The expression of feeling in a sentence is in its use, not in its meaning [MacIntyre]
Emotivism cannot explain the logical terms in moral discourse ('therefore', 'if..then') [MacIntyre]
Nowadays most people are emotivists, and it is embodied in our culture [MacIntyre]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
Maybe we can only understand rules if we first understand the virtues [MacIntyre]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Virtue is secondary to a role-figure, defined within a culture [MacIntyre, by Statman]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
Characters are the masks worn by moral philosophies [MacIntyre]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / h. Right feelings
If morality just is emotion, there are no external criteria for judging emotions [MacIntyre]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Since Moore thinks the right action produces the most good, he is a utilitarian [MacIntyre]
24. Political Theory / A. Basis of a State / 3. Natural Values / c. Natural rights
There are no natural or human rights, and belief in them is nonsense [MacIntyre]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
28. God / A. Divine Nature / 4. Divine Contradictions
If God is omniscient, he confronts no as yet unmade decisions, so decisions are impossible [MacIntyre]