Combining Philosophers

All the ideas for Socrates, Hippolytus and Richard Dedekind

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81 ideas

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]
     Full Idea: Socrates: If I'd attended Prodicus's fifty-drachma course, I could tell you the truth about names straightway, but as I've only heard the one-drachma course, I don't know the truth about it.
     From: Socrates (reports of career [c.420 BCE]), quoted by Plato - Cratylus 384b
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
The unexamined life is not worth living for men [Socrates]
     Full Idea: The unexamined life is not worth living for men.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - The Apology 38a
     A reaction: I wonder why? I can see Nietzsche offering aristocratic heroes and dancers as counterexamples. Compare Idea 3798.
1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
A philosopher is one who cares about what other people care about [Socrates, by Foucault]
     Full Idea: Socrates asks people 'Are you caring for yourself?' He is the man who cares about the care of others; this is the particular position of the philosopher.
     From: report of Socrates (reports of career [c.420 BCE]) by Michel Foucault - Ethics of the Concern for Self as Freedom p.287
     A reaction: Priests, politicians and psychiatrists also care quite intensely about the concerns of other people. Someone who was intensely self-absorbed with the critical task of getting their own beliefs right would count for me as a philosopher.
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]
     Full Idea: To confine, as Plato does in 'Republic' IV-VII, moral inquiry to a tiny elite, is to obliterate the Socratic vision which opens up the philosophic life to all.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.18
     A reaction: This doesn't mean that Plato is necessarily 'elitist'. It isn't elitist to point out that an activity is very difficult.
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Philosophical discussion involves dividing subject-matter into categories [Socrates, by Xenophon]
     Full Idea: Self-discipline and avoidance of pleasure makes people most capable of philosophical discussion, which is called 'discussion' (dialegesthai - sort out) because people divide their subject-matter into categories.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 4.5.12
     A reaction: This could be the original slogan for analytical philosophy, as far as I am concerned. I don't think philosophy aims at complete and successful analysis (cf. Idea 2958), but at revealing the structure and interconnection of ideas. This is wisdom.
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]
     Full Idea: Socrates began the quest for something universal in addition to the radical flux of perceptible particulars, with his definitions. But he rightly understood that universals cannot be separated from particulars.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Metaphysics 1086b
2. Reason / C. Styles of Reason / 1. Dialectic
It is legitimate to play the devil's advocate [Socrates]
     Full Idea: It is legitimate to play the devil's advocate.
     From: Socrates (reports of career [c.420 BCE]), quoted by Plato - Phaedrus 272c
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]
     Full Idea: Socrates' rule of "say only what you believe"….excluded debate on unasserted premises, thereby distinguishing Socratic from Zenonian and earlier dialectics.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.14
Socrates was pleased if his mistakes were proved wrong [Socrates]
     Full Idea: Socrates: I'm happy to have a mistaken idea of mine proved wrong.
     From: Socrates (reports of career [c.420 BCE]), quoted by Plato - Gorgias 458a
The method of Socrates shows the student is discovering the truth within himself [Socrates, by Carlisle]
     Full Idea: Socrates tended to prefer the method of questioning, for this made it clear that the student was discovering the truth within himself.
     From: report of Socrates (reports of career [c.420 BCE]) by Clare Carlisle - Kierkegaard: a guide for the perplexed 7
     A reaction: Sounds like it will only facilitate conceptual analysis, and excludes empirical knowledge. Can you say to Socrates 'I'll just google that'?
Socrates always proceeded in argument by general agreement at each stage [Socrates, by Xenophon]
     Full Idea: When Socrates was setting out a detailed argument, he used to proceed by such stages as were generally agreed, because he thought that this was the infallible method of argument.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 4.6.16
     A reaction: This sounds right, and shows how strongly Socrates perceived philosophy to be a group activity, of which I approve. It seems to me that philosophy is clearly a spoken subject before it is a written one. The lonely speculator comes much later.
2. Reason / D. Definition / 6. Definition by Essence
Socrates sought essences, which are the basis of formal logic [Socrates, by Aristotle]
     Full Idea: It is not surprising that Socrates sought essences. His project was to establish formal reasoning, of whose syllogisms essences are the foundations.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Metaphysics 1078b22
     A reaction: This seems to reinforce the definitional view of essences, since definitions seem to be at the centre of most of Socrates's quests.
2. Reason / D. Definition / 9. Recursive Definition
Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter]
     Full Idea: Dedkind gave a rigorous proof of the principle of definition by recursion, permitting recursive definitions of addition and multiplication, and hence proofs of the familiar arithmetical laws.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 13 'Deriv'
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Socrates developed definitions as the basis of syllogisms, and also inductive arguments [Socrates, by Aristotle]
     Full Idea: Socrates aimed to establish formal logic, of whose syllogisms essences are the foundations. He developed inductive arguments and also general definitions.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Metaphysics 1078b
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
An infinite set maps into its own proper subset [Dedekind, by Reck/Price]
     Full Idea: A set is 'Dedekind-infinite' iff there exists a one-to-one function that maps a set into a proper subset of itself.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], §64) by E Reck / M Price - Structures and Structuralism in Phil of Maths n 7
     A reaction: Sounds as if it is only infinite if it is contradictory, or doesn't know how big it is!
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter]
     Full Idea: Dedekind had an interesting proof of the Axiom of Infinity. He held that I have an a priori grasp of the idea of my self, and that every idea I can form the idea of that idea. Hence there are infinitely many objects available to me a priori.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], no. 66) by Michael Potter - The Rise of Analytic Philosophy 1879-1930 12 'Numb'
     A reaction: Who said that Descartes' Cogito was of no use? Frege endorsed this, as long as the ideas are objective and not subjective.
4. Formal Logic / G. Formal Mereology / 1. Mereology
Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter]
     Full Idea: Dedekind plainly had fusions, not collections, in mind when he avoided the empty set and used the same symbol for membership and inclusion - two tell-tale signs of a mereological conception.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], 2-3) by Michael Potter - Set Theory and Its Philosophy 02.1
     A reaction: Potter suggests that mathematicians were torn between mereology and sets, and eventually opted whole-heartedly for sets. Maybe this is only because set theory was axiomatised by Zermelo some years before Lezniewski got to mereology.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers are free creations of the human mind, to understand differences [Dedekind]
     Full Idea: Numbers are free creations of the human mind; they serve as a means of apprehending more easily and more sharply the difference of things.
     From: Richard Dedekind (Nature and Meaning of Numbers [1888], Pref)
     A reaction: Does this fit real numbers and complex numbers, as well as natural numbers? Frege was concerned by the lack of objectivity in this sort of view. What sort of arithmetic might the Martians have created? Numbers register sameness too.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman]
     Full Idea: It was primarily Dedekind's accomplishment to define the integers, rationals and reals, taking only the system of natural numbers for granted.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by A.George / D.J.Velleman - Philosophies of Mathematics Intro
Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck]
     Full Idea: Dedekind and Cantor said the cardinals may be defined in terms of the ordinals: The cardinal number of a set S is the least ordinal onto whose predecessors the members of S can be mapped one-one.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 5
Order, not quantity, is central to defining numbers [Dedekind, by Monk]
     Full Idea: Dedekind said that the notion of order, rather than that of quantity, is the central notion in the definition of number.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Ray Monk - Bertrand Russell: Spirit of Solitude Ch.4
     A reaction: Compare Aristotle's nice question in Idea 646. My intuition is that quantity comes first, because I'm not sure HOW you could count, if you didn't think you were changing the quantity each time. Why does counting go in THAT particular order? Cf. Idea 8661.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell]
     Full Idea: Dedekind's ordinals are not essentially either ordinals or cardinals, but the members of any progression whatever.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Bertrand Russell - The Principles of Mathematics §243
     A reaction: This is part of Russell's objection to Dedekind's structuralism. The question is always why these beautiful structures should actually be considered as numbers. I say, unlike Russell, that the connection to counting is crucial.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
     Full Idea: It then only remained to discover its true origin in the elements of arithmetic and thus at the same time to secure a real definition of the essence of continuity.
     From: Richard Dedekind (Continuity and Irrational Numbers [1872], Intro)
     A reaction: [He seeks the origin of the theorem that differential calculus deals with continuous magnitude, and he wants an arithmetical rather than geometrical demonstration; the result is his famous 'cut'].
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
     Full Idea: Whenever we have to do a cut produced by no rational number, we create a new, an irrational number, which we regard as completely defined by this cut.
     From: Richard Dedekind (Continuity and Irrational Numbers [1872], §4)
     A reaction: Fine quotes this to show that the Dedekind Cut creates the irrational numbers, rather than hitting them. A consequence is that the irrational numbers depend on the rational numbers, and so can never be identical with any of them. See Idea 10573.
Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell]
     Full Idea: Dedekind set up the axiom that the gap in his 'cut' must always be filled …The method of 'postulating' what we want has many advantages; they are the same as the advantages of theft over honest toil. Let us leave them to others.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Bertrand Russell - Introduction to Mathematical Philosophy VII
     A reaction: This remark of Russell's is famous, and much quoted in other contexts, but I have seen the modern comment that it is grossly unfair to Dedekind.
Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock]
     Full Idea: One view, favoured by Dedekind, is that the cut postulates a real number for each cut in the rationals; it does not identify real numbers with cuts. ....A view favoured by later logicists is simply to identify a real number with a cut.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by David Bostock - Philosophy of Mathematics 4.4
     A reaction: Dedekind is the patriarch of structuralism about mathematics, so he has little interest in the existenc of 'objects'.
I say the irrational is not the cut itself, but a new creation which corresponds to the cut [Dedekind]
     Full Idea: Of my theory of irrationals you say that the irrational number is nothing else than the cut itself, whereas I prefer to create something new (different from the cut), which corresponds to the cut. We have the right to claim such a creative power.
     From: Richard Dedekind (Letter to Weber [1888], 1888 Jan), quoted by Stewart Shapiro - Philosophy of Mathematics 5.4
     A reaction: Clearly a cut will not locate a unique irrational number, so something more needs to be done. Shapiro remarks here that for Dedekind numbers are objects.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
In counting we see the human ability to relate, correspond and represent [Dedekind]
     Full Idea: If we scrutinize closely what is done in counting an aggregate of things, we see the ability of the mind to relate things to things, to let a thing correspond to a thing, or to represent a thing by a thing, without which no thinking is possible.
     From: Richard Dedekind (Nature and Meaning of Numbers [1888], Pref)
     A reaction: I don't suppose it occurred to Dedekind that he was reasserting Hume's observation about the fundamental psychology of thought. Is the origin of our numerical ability of philosophical interest?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
     Full Idea: I regard the whole of arithmetic as a necessary, or at least natural, consequence of the simplest arithmetic act, that of counting, and counting itself is nothing else than the successive creation of the infinite series of positive integers.
     From: Richard Dedekind (Continuity and Irrational Numbers [1872], §1)
     A reaction: Thus counting roots arithmetic in the world, the successor operation is the essence of counting, and the Dedekind-Peano axioms are built around successors, and give the essence of arithmetic. Unfashionable now, but I love it. Intransitive counting?
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A system S is said to be infinite when it is similar to a proper part of itself [Dedekind]
     Full Idea: A system S is said to be infinite when it is similar to a proper part of itself.
     From: Richard Dedekind (Nature and Meaning of Numbers [1888], V.64)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
     Full Idea: If in the variation of a magnitude x we can for every positive magnitude δ assign a corresponding position from and after which x changes by less than δ then x approaches a limiting value.
     From: Richard Dedekind (Continuity and Irrational Numbers [1872], p.27), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.7
     A reaction: [Kitcher says he 'showed' this, rather than just stating it]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD]
     Full Idea: Dedekind's natural numbers: an object is in a set (0 is a number), a function sends the set one-one into itself (numbers have unique successors), the object isn't a value of the function (it isn't a successor), plus induction.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by William D. Hart - The Evolution of Logic 5
     A reaction: Hart notes that since this refers to sets of individuals, it is a second-order account of numbers, what we now call 'Second-Order Peano Arithmetic'.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock]
     Full Idea: Dedekind's idea is that the set of natural numbers has zero as a member, and also has as a member the successor of each of its members, and it is the smallest set satisfying this condition. It is the intersection of all sets satisfying the condition.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by David Bostock - Philosophy of Mathematics 4.4
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind]
     Full Idea: It is Dedekind's categoricity result that convinces most of us that he has articulated our implicit conception of the natural numbers, since it entitles us to speak of 'the' domain (in the singular, up to isomorphism) of natural numbers.
     From: comment on Richard Dedekind (Nature and Meaning of Numbers [1888]) by Ian Rumfitt - The Boundary Stones of Thought 9.1
     A reaction: The main rival is set theory, but that has an endlessly expanding domain. He points out that Dedekind needs second-order logic to achieve categoricity. Rumfitt says one could also add to the 1st-order version that successor is an ancestral relation.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / f. Mathematical induction
Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell]
     Full Idea: Dedekind proves mathematical induction, while Peano regards it as an axiom, ...and Peano's method has the advantage of simplicity, and a clearer separation between the particular and the general propositions of arithmetic.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Bertrand Russell - The Principles of Mathematics §241
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride]
     Full Idea: Dedekind is the philosopher-mathematician with whom the structuralist conception originates.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888], §3 n13) by Fraser MacBride - Structuralism Reconsidered
     A reaction: Hellman says the idea grew naturally out of modern mathematics, and cites Hilbert's belief that furniture would do as mathematical objects.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / b. Varieties of structuralism
Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K]
     Full Idea: Dedekindian abstraction says mathematical objects are 'positions' in a model, while Cantorian abstraction says they are the result of abstracting on structurally similar objects.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Kit Fine - Cantorian Abstraction: Recon. and Defence §6
     A reaction: The key debate among structuralists seems to be whether or not they are committed to 'objects'. Fine rejects the 'austere' version, which says that objects have no properties. Either version of structuralism can have abstraction as its basis.
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]
     Full Idea: Socrates did not regard the universals or the objects of definitions as separate existents, while Plato did separate them, and called this sort of entity ideas/forms.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Metaphysics 1078b30
9. Objects / A. Existence of Objects / 3. Objects in Thought
A thing is completely determined by all that can be thought concerning it [Dedekind]
     Full Idea: A thing (an object of our thought) is completely determined by all that can be affirmed or thought concerning it.
     From: Richard Dedekind (Nature and Meaning of Numbers [1888], I.1)
     A reaction: How could you justify this as an observation? Why can't there be unthinkable things (even by God)? Presumably Dedekind is offering a stipulative definition, but we may then be confusing epistemology with ontology.
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]
     Full Idea: For Socrates our soul is our self - whatever that might turn out to be.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.55
     A reaction: The problem with any broad claim like this is that we seem to be able to distinguish between essential and non-essential aspects of the self or of the soul.
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]
     Full Idea: It would seem that historically the decisive step was taken by Socrates in conceiving of human beings as being run by a mind or reason.. …He postulated an entity whose precision nature and function then was a matter of considerable debate.
     From: report of Socrates (reports of career [c.420 BCE]) by Michael Frede - Intro to 'Rationality in Greek Thought' p.19
     A reaction: This is, for me, a rather revelatory idea. I am keen on the fact the animals make judgements which are true and false, and also that we exhibit rationality when walking across uneven ground. So pure rationality is a cultural construct!
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett]
     Full Idea: By applying the operation of abstraction to a system of objects isomorphic to the natural numbers, Dedekind believed that we obtained the abstract system of natural numbers, each member having only properties consequent upon its position.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by Michael Dummett - The Philosophy of Mathematics
     A reaction: Dummett is scornful of the abstractionism. He cites Benacerraf as a modern non-abstractionist follower of Dedekind's view. There seems to be a suspicion of circularity in it. How many objects will you abstract from to get seven?
We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind]
     Full Idea: If in an infinite system, set in order, we neglect the special character of the elements, simply retaining their distinguishability and their order-relations to one another, then the elements are the natural numbers, created by the human mind.
     From: Richard Dedekind (Nature and Meaning of Numbers [1888], VI.73)
     A reaction: [compressed] This is the classic abstractionist view of the origin of number, but with the added feature that the order is first imposed, so that ordinals remain after the abstraction. This, of course, sounds a bit circular, as well as subjective.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait]
     Full Idea: Dedekind's conception is psychologistic only if that is the only way to understand the abstraction that is involved, which it is not.
     From: report of Richard Dedekind (Nature and Meaning of Numbers [1888]) by William W. Tait - Frege versus Cantor and Dedekind IV
     A reaction: This is a very important suggestion, implying that we can retain some notion of abstractionism, while jettisoning the hated subjective character of private psychologism, which seems to undermine truth and logic.
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
No one willingly commits an evil or base act [Socrates]
     Full Idea: I am fairly certain that no wise man believes anyone sins willingly or willingly perpetrates any evil or base act.
     From: Socrates (reports of career [c.420 BCE]), quoted by Plato - Protagoras 345e
Socrates did not accept the tripartite soul (which permits akrasia) [Vlastos on Socrates]
     Full Idea: Xenophon indirectly indicates that he does not associate Socrates in any way with the tripartite psychology of the 'Republic', for within that theory akrasia would be all too possible.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.102
People do what they think they should do, and only ever do what they think they should do [Socrates, by Xenophon]
     Full Idea: There is no one who knows what they ought to do, but thinks that they ought not to do it, and no one does anything other than what they think they ought to do.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 4.6.6
     A reaction: This is Socrates' well-known rejection of the possibility of weakness of will (akrasia - lit. 'lack of control'). Aristotle disagreed, and so does almost everyone else. Modern smokers seem to exhibit akrasia. I have some sympathy with Socrates.
Socrates was shocked by the idea of akrasia, but observation shows that it happens [Aristotle on Socrates]
     Full Idea: Socrates thought it a shocking idea that when a man actually has knowledge in him something else should overmaster it, ..but this is glaringly inconsistent with the observed facts.
     From: comment on Socrates (reports of career [c.420 BCE]) by Aristotle - Nicomachean Ethics 1145b24
     A reaction: Aristotle seems very confident, but it is not at all clear (even to the agent) what is going on when apparent weakness of will occurs (e.g. breaking a diet). What exactly does the agent believe at the moment of weakness?
The common belief is that people can know the best without acting on it [Socrates]
     Full Idea: Most people think there are many who recognise the best but are unwilling to act on it.
     From: Socrates (reports of career [c.420 BCE]), quoted by Plato - Protagoras 352d
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]
     Full Idea: Socrates did not distinguish wisdom from prudence, but judged that the man who recognises and puts into practice what is truly good, and the man who knows and guards against what is disgraceful, are both wise and prudent.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 3.9.3
     A reaction: Compare Aristotle, who separates them, claiming that prudence is essential for moral virtue, but wisdom is pursued at a different level, closer to the gods than to society.
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]
     Full Idea: Socrates thought that the virtues were all forms of knowledge, and therefore once a man knew justice, he would be a just man.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Eudemian Ethics 1216b07
     A reaction: The clearest possible statement of Socrates' intellectualism. Aristotle rejected the Socrates view, but I find it sympathetic. Smokers who don't want to die seem to be in denial. To see the victims is to condemn the crime.
Socrates was the first to base ethics upon reason, and use reason to explain it [Taylor,R on Socrates]
     Full Idea: Socrates was the first significant thinker to try basing ethics upon reason, and to try uncovering its natural principles solely by the use of reason.
     From: comment on Socrates (reports of career [c.420 BCE]) by Richard Taylor - Virtue Ethics: an Introduction Ch.7
     A reaction: Interesting. It seems to me that Socrates overemphasised reason, presumably because it was a novelty. Hence his view that akrasia is impossible, and that virtue is simply knowledge. Maybe action is not just rational, but moral action is.
All human virtues are increased by study and practice [Socrates, by Xenophon]
     Full Idea: If you consider the virtues that are recognised among human beings, you will find that they are all increased by study and practice.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 2.6.41
     A reaction: 'Study' is the intellectualist part of this remark; the reference to 'practice' fits with Aristotle view that virtue is largely a matter of good habits. The next question would be how theoretical the studies should be. Philosophy, or newspapers?
The wise perform good actions, and people fail to be good without wisdom [Socrates, by Xenophon]
     Full Idea: It is the wise who perform truly good actions, and those who are not wise cannot, and, if they try to, fail.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 3.9.6
     A reaction: The essence of Socrates' intellectualism, with which Aristotle firmly disagreed (when he assert that only practical reason was needed for virtuous actions, rather than wisdom or theory). Personally I side more with Socrates than with Aristotle on this.
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Socrates despised good looks [Socrates, by Plato]
     Full Idea: Socrates despises good looks to an almost inconceivable extent.
     From: report of Socrates (reports of career [c.420 BCE]) by Plato - The Symposium 216e
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]
     Full Idea: Socrates' moral philosophy was essentially conservative. He assumed that the principles the Athenians honoured were true and natural, so there was little possibility of conflict between nature and convention in his thinking.
     From: comment on Socrates (reports of career [c.420 BCE]) by Richard Taylor - Virtue Ethics: an Introduction Ch.8
     A reaction: Taylor contrasts Socrates with Callicles, who claims that conventions oppose nature. This fits with Nietzsche's discontent with Socrates, as the person who endorses conventional good and evil, thus constraining the possibilities of human nature.
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]
     Full Idea: A dung-basket is fine, and a golden shield contemptible, if the one is finely and the other badly constructed for carrying out its function.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 3.8.6
     A reaction: This is the basis of a key idea in Aristotle, that virtue (or excellence) arises directly from function. I think it is the most important idea in virtue theory, and seems to have struck most Greeks as being self-evident.
22. Metaethics / B. Value / 2. Values / e. Death
If death is like a night of dreamless sleep, such nights are very pleasant [Socrates]
     Full Idea: If death is like a night of dreamless sleep it is an advantage, for such nights are very pleasant, and eternity would seem like a single night.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - The Apology 40d
     A reaction: Dreamless sleep is only pleasant if being awake is unpleasant. Very quiet days are only pleasant if the active days are horrible. A desire for a totally quiet life is absurd.
Men fear death as a great evil when it may be a great blessing [Socrates]
     Full Idea: No one knows whether death may not be the greatest of all blessings for a man, yet men fear it as if they knew that it is the greatest of evils.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - The Apology 29a
     A reaction: As a neutral observer, I see little sign of it being a blessing, except as a relief from misery. It seem wrong to view such a natural thing as evil, but it is the thing most of us least desire.
22. Metaethics / B. Value / 2. Values / h. Fine deeds
Things are both good and fine by the same standard [Socrates, by Xenophon]
     Full Idea: Things are always both good and fine by the same standard.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 3.8.5
     A reaction: This begs many questions, but perhaps it leads to what we call intuitionism, which is an instant ability is perceive a fine action (even in an enemy). This leads to the rather decadent view that the aim of life is the production of beauty.
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]
     Full Idea: There is only one good, namely knowledge, and there is only one evil, namely ignorance.
     From: report of Socrates (reports of career [c.420 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.4.14
     A reaction: Ignorance of how to commit evil sounds quite good.
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Socrates was the first to put 'eudaimonia' at the centre of ethics [Socrates, by Vlastos]
     Full Idea: Socrates' true place in the development of Greek thought is that he is the first to establish the eudaimonist foundation of ethical theory, which became the foundation of the schools which sprang up around him.
     From: report of Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.10
     A reaction: I suspect that he was the first to fully articulate a widely held Greek belief. The only ethical question that they asked was about the nature of a good human life.
23. Ethics / B. Contract Ethics / 8. Contract Strategies
We should not even harm someone who harms us [Socrates]
     Full Idea: One should never return an injustice nor harm another human being no matter what one suffers at their hands.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - Crito 49c
     A reaction: Jesus of Nazareth was not the first person to make this suggestion.
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]
     Full Idea: Socrates uses the word 'areté' to mean precisely what we mean by moral virtue.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.200
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
A good man cannot be harmed, either in life or in death [Socrates]
     Full Idea: A good man cannot be harmed, either in life or in death.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - The Apology 41d
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]
     Full Idea: Socrates worries about the unity and teachability of virtue because he is torn between virtue as intellectual (unified and teachable) and virtue as natural (plural and unteachable).
     From: comment on Socrates (reports of career [c.420 BCE]) by PG - Db (ideas)
     A reaction: Admittedly virtue could be natural but still unified and teachable, but Socrates clearly had a dilemma, and this seems to make sense of it.
Socrates agrees that virtue is teachable, but then denies that there are teachers [Socrates, by MacIntyre]
     Full Idea: Socrates' great point of agreement with the sophists is his acceptance of the thesis that areté is teachable. But paradoxically he denies that there are teachers.
     From: report of Socrates (reports of career [c.420 BCE]) by Alasdair MacIntyre - A Short History of Ethics Ch.3
     A reaction: This is part of Socrates's presentation of himself as 'not worthy'. Virtue would be teachable, if only anyone knew what it was. He's wrong. Lots of people have a pretty good idea of virtue, and could teach it. The problem is in the pupils.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
We should ask what sort of people we want to be [Socrates]
     Full Idea: Socrates: What sort of person should one be?
     From: Socrates (reports of career [c.420 BCE]), quoted by Plato - Gorgias 487e
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]
     Full Idea: Socrates believed that basically there is only one virtue, the power of right judgement.
     From: report of Socrates (reports of career [c.420 BCE]) by Bernard Williams - Ethics and the Limits of Philosophy Ch.1
     A reaction: Which links with Aristotle's high place for 'phronesis' (prudence?). The essence of Socrates' intellectualism. Robots and saints make very different judgements, though.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Socrates made the civic values of justice and friendship paramount [Socrates, by Grayling]
     Full Idea: In Socrates' thought, the expressly civic values of justice and friendship became paramount.
     From: report of Socrates (reports of career [c.420 BCE]) by A.C. Grayling - What is Good? Ch.2
     A reaction: This is the key move in ancient ethics, away from heroism, and towards the standard Aristotelian social virtues. I say this is the essence of what we call morality, and the only one which can be given a decent foundational justification (social health).
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
One ought not to return a wrong or injury to any person, whatever the provocation [Socrates]
     Full Idea: One ought not to return a wrong or an injury to any person, whatever the provocation is.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - Crito 49b
     A reaction: The same as the essential moral teachings of Jesus (see Idea 6288) and Lao Tzu (Idea 6324). The big target is not to be corrupted by the evil of other people.
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Courage is scientific knowledge [Socrates, by Aristotle]
     Full Idea: Socrates thought that courage is scientific knowledge.
     From: report of Socrates (reports of career [c.420 BCE]) by Aristotle - Eudemian Ethics 1230a06
     A reaction: Aristotle himself says that reason produces courage, but he also says it arises from natural youthful spirits. I favour the view that there is a strong rational component in true courage.
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Wealth is good if it is accompanied by virtue [Socrates]
     Full Idea: Wealth does not bring about excellence, but excellence makes wealth and everything else good for men.
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - The Apology 30b
23. Ethics / F. Existentialism / 1. Existentialism
Socrates emphasises that the knower is an existing individual, with existence his main task [Socrates, by Kierkegaard]
     Full Idea: The infinite merit of the Socratic position was precisely to accentuate the fact that the knower is an existing individual, and that the task of existing is his essential task.
     From: report of Socrates (reports of career [c.420 BCE]) by Søren Kierkegaard - Concluding Unscientific Postscript 'Inwardness'
     A reaction: Always claim Socrates as the first spokesman for your movement! It is true that Socrates is always demanding the views of his interlocutors, and not just abstract theories. See Idea 1647.
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Obedience to the law gives the best life, and success in war [Socrates, by Xenophon]
     Full Idea: A city in which the people are most obedient to the laws has the best life in time of peace and is irresistible in war.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Memorabilia of Socrates 4.4.15
     A reaction: This is a conservative view, with the obvious problem case of bad laws, but in general it seems to me clearly right. This is why it is so vital that nothing should be done to bring the law into disrepute, such as petty legislation or prosecution.
25. Social Practice / D. Justice / 2. The Law / a. Legal system
Will I stand up against the law, simply because I have been unjustly judged? [Socrates]
     Full Idea: Do I intend to destroy the laws, because the state wronged me by passing a faulty judgement at my trial?
     From: Socrates (reports of last days [c.399 BCE]), quoted by Plato - Crito 50c
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]
     Full Idea: Socrates was the first Greek to grasp the truth that if someone has done a nasty thing to me, this does not give the slightest moral justification for doing anything nasty to him.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.190
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]
     Full Idea: The fact that a lover uses not force but persuasion makes him more detestable, because a lover who uses force proves himself a villain, but one who uses persuasion ruins the character of the one who consents.
     From: report of Socrates (reports of career [c.420 BCE]) by Xenophon - Symposium 8.20
     A reaction: A footnote says that this distinction was enshrined in Athenian law, where seduction was worse than rape. This is a startling and interest contrast to the modern view, which enshrines rights and freedoms, and says seduction is usually no crime at all.
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]
     Full Idea: It is essential to Socrates' rationalist programme in theology to assume that the entailment of virtue by wisdom binds gods no less than men. He would not tolerate one moral standard for me and another for gods.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.164
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]
     Full Idea: Undeviating beneficent goodness guides Socrates' thought so deeply that he applies it even to the deity; he projects a new concept of god as a being that can cause only good, never evil.
     From: comment on Socrates (reports of career [c.420 BCE]) by Gregory Vlastos - Socrates: Ironist and Moral Philosopher p.197
28. God / C. Attitudes to God / 5. Atheism
Socrates is accused of denying the gods, saying sun is stone and moon is earth [Socrates, by Plato]
     Full Idea: Socrates denies the gods, because he says the sun is stone and the moon is earth.
     From: report of Socrates (reports of last days [c.399 BCE]) by Plato - The Apology 26d