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All the ideas for 'fragments/reports', 'Frege's Concept of Numbers as Objects' and 'On Virtue Ethics'

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89 ideas

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]
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]
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 / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Things get smaller without end [Anaxagoras]
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 / 1. Nature of Existence
Nothing is created or destroyed; there is only mixing and separation [Anaxagoras]
7. Existence / A. Nature of Existence / 2. Types of Existence
The idea that 'exist' has multiple senses is not coherent [Wright,C]
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Anaxagoras's concept of supreme Mind has a simple First and a multiple One [Anaxagoras, by Plotinus]
7. Existence / C. Structure of Existence / 6. Fundamentals / a. Fundamental reality
Basic is the potentially perceptible, then comes the contrary qualities, and finally the 'elements' [Anaxagoras]
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]
12. Knowledge Sources / B. Perception / 1. Perception
Snow is not white, and doesn't even appear white, because it is made of black water [Anaxagoras, by Cicero]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The senses are too feeble to determine the truth [Anaxagoras]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
We reveal unreliability in the senses when we cannot discriminate a slow change of colour [Anaxagoras, by Sext.Empiricus]
15. Nature of Minds / A. Nature of Mind / 1. Mind / a. Mind
Nous is unlimited, self-ruling and pure; it is the finest thing, with great discernment and strength [Anaxagoras]
15. Nature of Minds / A. Nature of Mind / 1. Mind / c. Features of mind
Mind is self-ruling, pure, ordering and ubiquitous [Anaxagoras, by Plato]
16. Persons / B. Nature of the Self / 2. Ethical Self
The word 'person' is useless in ethics, because what counts as a good or bad self-conscious being? [Hursthouse]
16. Persons / F. Free Will / 1. Nature of Free Will
Anaxagoras says mind remains pure, and so is not affected by what it changes [Anaxagoras, by Aristotle]
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]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
There may be inverse akrasia, where the agent's action is better than their judgement recommends [Hursthouse]
20. Action / C. Motives for Action / 2. Acting on Beliefs / a. Acting on beliefs
Must all actions be caused in part by a desire, or can a belief on its own be sufficient? [Hursthouse]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
It is a fantasy that only through the study of philosophy can one become virtuous [Hursthouse]
20. Action / C. Motives for Action / 5. Action Dilemmas / a. Dilemmas
You are not a dishonest person if a tragic dilemma forces you to do something dishonest [Hursthouse]
After a moral dilemma is resolved there is still a 'remainder', requiring (say) regret [Hursthouse]
Deontologists resolve moral dilemmas by saying the rule conflict is merely apparent [Hursthouse]
Involuntary actions performed in tragic dilemmas are bad because they mar a good life [Hursthouse]
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
Virtue may be neither sufficient nor necessary for eudaimonia [Hursthouse]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
Teenagers are often quite wise about ideals, but rather stupid about consequences [Hursthouse]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Animals and plants can 'flourish', but only rational beings can have eudaimonia [Hursthouse]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
When it comes to bringing up children, most of us think that the virtues are the best bet [Hursthouse]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Any strict ranking of virtues or rules gets abandoned when faced with particular cases [Hursthouse]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Virtue ethics is open to the objection that it fails to show priority among the virtues [Hursthouse]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / a. Natural virtue
Good animals can survive, breed, feel characteristic pleasure and pain, and contribute to the group [Hursthouse]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtuous people may not be fully clear about their reasons for action [Hursthouse]
Performing an act simply because it is virtuous is sufficient to be 'morally motivated' or 'dutiful' [Hursthouse]
If moral motivation is an all-or-nothing sense of duty, how can children act morally? [Hursthouse]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / h. Right feelings
The emotions of sympathy, compassion and love are no guarantee of right action or acting well [Hursthouse]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / i. Absolute virtues
According to virtue ethics, two agents may respond differently, and yet both be right [Hursthouse]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Maybe in a deeply poisoned character none of their milder character traits could ever be a virtue [Hursthouse]
Being unusually virtuous in some areas may entail being less virtuous in others [Hursthouse]
We are puzzled by a person who can show an exceptional virtue and also behave very badly [Hursthouse]
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
Anaxagoras said a person would choose to be born to contemplate the ordered heavens [Anaxagoras]
23. Ethics / D. Deontological Ethics / 1. Deontology
Deontologists do consider consequences, because they reveal when a rule might apply [Hursthouse]
'Codifiable' morality give rules for decisions which don't require wisdom [Hursthouse]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
Preference utilitarianism aims to be completely value-free, or empirical [Hursthouse]
We are torn between utilitarian and deontological views of lying, depending on the examples [Hursthouse]
Deontologists usually accuse utilitarians of oversimplifying hard cases [Hursthouse]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
We are distinct from other animals in behaving rationally - pursuing something as good, for reasons [Hursthouse]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
For Anaxagoras the Good Mind has no opposite, and causes all movement, for a higher reason [Anaxagoras, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / a. Greek matter
Mind creates the world from a mixture of pure substances [Anaxagoras, by ]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Anaxagoras said that the number of principles was infinite [Anaxagoras, by Aristotle]
The ultimate constituents of reality are the homoeomeries [Anaxagoras, by Vlastos]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Anaxagoreans regard the homoeomeries as elements, which compose earth, air, fire and water [Anaxagoras, by Aristotle]
26. Natural Theory / C. Causation / 1. Causation
Anaxagoras says mind produces order and causes everything [Anaxagoras, by Plato]
27. Natural Reality / G. Biology / 1. Biology
Germs contain microscopic organs, which become visible as they grow [Anaxagoras]
28. God / A. Divine Nature / 1. God
When things were unified, Mind set them in order [Anaxagoras]
Anaxagoras was the first to say that the universe is directed by an intelligence [Anaxagoras, by Cicero]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
If people are virtuous in obedience to God, would they become wicked if they lost their faith? [Hursthouse]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
Past, present and future, and the movements of the heavens, were arranged by Mind [Anaxagoras]
28. God / C. Attitudes to God / 5. Atheism
Anaxagoras was charged with impiety for calling the sun a lump of stone [Anaxagoras, by Plutarch]
Anaxagoras was the first recorded atheist [Anaxagoras, by Watson]