Combining Philosophers

All the ideas for Anaxarchus, Alasdair MacIntyre and Keith Hossack

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70 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
In the Reformation, morality became unconditional but irrational, individually autonomous, and secular [MacIntyre]
1. Philosophy / B. History of Ideas / 5. Later European Thought
The Levellers and the Diggers mark a turning point in the history of morality [MacIntyre]
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 / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
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 / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Relativism can be seen as about the rationality of different cultural traditions [MacIntyre, by Kusch]
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 / A. Nature of Mind / 2. Psuche
When Aristotle speaks of soul he means something like personality [MacIntyre]
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 / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Sophists don't distinguish a person outside one social order from someone outside all order [MacIntyre]
22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value
The value/fact logical gulf is misleading, because social facts involve values [MacIntyre]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
'Happiness' is a bad translation of 'eudaimonia', which includes both behaving and faring well [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 / C. Virtue Theory / 3. Virtues / c. Justice
'Dikaiosune' is justice, but also fairness and personal integrity [MacIntyre]
23. Ethics / D. Deontological Ethics / 2. Duty
My duties depend on my identity, which depends on my social relations [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 / a. Natural freedom
I am naturally free if I am not tied to anyone by a contract [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]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Liberals debate how conservative or radical to be, but don't question their basics [MacIntyre]
25. Social Practice / C. Rights / 1. Basis of Rights
Fans of natural rights or laws can't agree on what the actual rights or laws are [MacIntyre]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
28. God / A. Divine Nature / 4. Divine Contradictions
If God is omniscient, he confronts no as yet unmade decisions, so decisions are impossible [MacIntyre]
29. Religion / B. Monotheistic Religion / 5. Bible
The Bible is a story about God in which humans are incidental characters [MacIntyre]