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

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82 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]
1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
For the truth you need Prodicus's fifty-drachma course, not his one-drachma course [Socrates]
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
A philosopher is one who cares about what other people care about [Socrates, by Foucault]
1. Philosophy / D. Nature of Philosophy / 6. Hopes for Philosophy
Socrates opened philosophy to all, but Plato confined moral enquiry to a tiny elite [Vlastos on Socrates]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Philosophical discussion involves dividing subject-matter into categories [Socrates, by Xenophon]
1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Socrates began the quest for something universal with his definitions, but he didn't make them separate [Socrates, by Aristotle]
2. Reason / C. Styles of Reason / 1. Dialectic
It is legitimate to play the devil's advocate [Socrates]
The best way to understand a philosophical idea is to defend it [Wright,C]
2. Reason / C. Styles of Reason / 2. Elenchus
In Socratic dialogue you must say what you believe, so unasserted premises are not debated [Vlastos on Socrates]
Socrates was pleased if his mistakes were proved wrong [Socrates]
The method of Socrates shows the student is discovering the truth within himself [Socrates, by Carlisle]
Socrates always proceeded in argument by general agreement at each stage [Socrates, by Xenophon]
2. Reason / D. Definition / 6. Definition by Essence
Socrates sought essences, which are the basis of formal logic [Socrates, by Aristotle]
2. Reason / D. Definition / 7. Contextual Definition
The attempt to define numbers by contextual definition has been revived [Wright,C, by Fine,K]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Socrates developed definitions as the basis of syllogisms, and also inductive arguments [Socrates, by Aristotle]
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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Socrates did not consider universals or definitions as having separate existence, but Plato made Forms of them [Socrates, by Aristotle]
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]
9. Objects / E. Objects over Time / 8. Continuity of Rivers
Cratylus said you couldn't even step into the same river once [Cratylus, by Aristotle]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Cratylus decided speech was hopeless, and his only expression was the movement of a finger [Cratylus, by Aristotle]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
For Socrates our soul, though hard to define, is our self [Vlastos on Socrates]
18. Thought / A. Modes of Thought / 5. Rationality / b. Human rationality
Socrates first proposed that we are run by mind or reason [Socrates, by Frede,M]
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
No one willingly commits an evil or base act [Socrates]
Socrates did not accept the tripartite soul (which permits akrasia) [Vlastos on Socrates]
People do what they think they should do, and only ever do what they think they should do [Socrates, by Xenophon]
Socrates was shocked by the idea of akrasia, but observation shows that it happens [Aristotle on Socrates]
The common belief is that people can know the best without acting on it [Socrates]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
For Socrates, wisdom and prudence were the same thing [Socrates, by Xenophon]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
For Socrates, virtues are forms of knowledge, so knowing justice produces justice [Socrates, by Aristotle]
Socrates was the first to base ethics upon reason, and use reason to explain it [Taylor,R on Socrates]
All human virtues are increased by study and practice [Socrates, by Xenophon]
The wise perform good actions, and people fail to be good without wisdom [Socrates, by Xenophon]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Socrates despised good looks [Socrates, by Plato]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Socrates conservatively assumed that Athenian conventions were natural and true [Taylor,R on Socrates]
22. Metaethics / B. Value / 2. Values / b. Successful function
A well-made dung basket is fine, and a badly-made gold shield is base, because of function [Socrates, by Xenophon]
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Things are both good and fine by the same standard [Socrates, by Xenophon]
22. Metaethics / C. The Good / 1. Goodness / e. Good as knowledge
The only good is knowledge, and the only evil is ignorance [Socrates, by Diog. Laertius]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Socrates was the first to put 'eudaimonia' at the centre of ethics [Socrates, by Vlastos]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / a. Nature of virtue
By 'areté' Socrates means just what we mean by moral virtue [Vlastos on Socrates]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Socrates is torn between intellectual virtue, which is united and teachable, and natural virtue, which isn't [PG on Socrates]
Socrates agrees that virtue is teachable, but then denies that there are teachers [Socrates, by MacIntyre]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We should ask what sort of people we want to be [Socrates]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Socrates believed that basically there is only one virtue, the power of right judgement [Socrates, by Williams,B]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Socrates made the civic values of justice and friendship paramount [Socrates, by Grayling]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Courage is scientific knowledge [Socrates, by Aristotle]
23. Ethics / F. Existentialism / 1. Existentialism
Socrates emphasises that the knower is an existing individual, with existence his main task [Socrates, by Kierkegaard]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Obedience to the law gives the best life, and success in war [Socrates, by Xenophon]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Socrates was the first to grasp that a cruelty is not justified by another cruelty [Vlastos on Socrates]
25. Social Practice / F. Life Issues / 5. Sexual Morality
A lover using force is a villain, but a seducer is much worse, because he corrupts character [Socrates, by Xenophon]
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Socrates holds that right reason entails virtue, and this must also apply to the gods [Vlastos on Socrates]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
A new concept of God as unswerving goodness emerges from Socrates' commitment to virtue [Vlastos on Socrates]