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All the ideas for 'talk', 'Replies on 'Limits of Abstraction'' and 'Logic (Encyclopedia I)'

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104 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]
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 / 5. Aims of Philosophy / b. Philosophy as transcendent
True philosophy aims at absolute unity, while our understanding sees only separation [Hegel]
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]
Free thinking has no presuppositions [Hegel]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
The ideal of reason is the unification of abstract identity (or 'concept') and being [Hegel]
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Older metaphysics naively assumed that thought grasped things in themselves [Hegel]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Logic is metaphysics, the science of things grasped in thoughts [Hegel]
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]
1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Concern for rigour can get in the way of understanding phenomena [Fine,K]
1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
We must break up the rigidity that our understanding has imposed [Hegel]
2. Reason / A. Nature of Reason / 3. Pure Reason
Let thought follow its own course, and don't interfere [Hegel]
2. Reason / A. Nature of Reason / 5. Objectivity
Categories create objective experience, but are too conditioned by things to actually grasp them [Hegel]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
If truth is just non-contradiction, we must take care that our basic concepts aren't contradictory [Hegel]
2. Reason / C. Styles of Reason / 1. Dialectic
It is legitimate to play the devil's advocate [Socrates]
Dialectic is the moving soul of scientific progression, the principle which binds science together [Hegel]
Dialectic is seen in popular proverbs like 'pride comes before a fall' [Hegel]
Socratic dialectic is subjective, but Plato made it freely scientific and objective [Hegel]
Older metaphysics became dogmatic, by assuming opposed assertions must be true and false [Hegel]
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]
3. Truth / A. Truth Problems / 2. Defining Truth
Superficial truth is knowing how something is, which is consciousness of bare correctness [Hegel]
3. Truth / A. Truth Problems / 5. Truth Bearers
In Hegel's logic it is concepts (rather than judgements or propositions) which are true or false [Hegel, by Scruton]
3. Truth / A. Truth Problems / 7. Falsehood
In the deeper sense of truth, to be untrue resembles being bad; badness is untrue to a thing's nature [Hegel]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
The deeper sense of truth is a thing matching the idea of what it ought to be [Hegel]
4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
Socrates developed definitions as the basis of syllogisms, and also inductive arguments [Socrates, by Aristotle]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
There is no stage at which we can take all the sets to have been generated [Fine,K]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
We might combine the axioms of set theory with the axioms of mereology [Fine,K]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Excluded middle is the maxim of definite understanding, but just produces contradictions [Hegel]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K]
5. Theory of Logic / L. Paradox / 3. Antinomies
The idea that contradiction is essential to rational understanding is a key modern idea [Hegel]
Tenderness for the world solves the antinomies; contradiction is in our reason, not in the essence of the world [Hegel]
Antinomies are not just in four objects, but in all objects, all representations, all objects and all ideas [Hegel]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
Why should a Dedekind cut correspond to a number? [Fine,K]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
Unless we know whether 0 is identical with the null set, we create confusions [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Set-theoretic imperialists think sets can represent every mathematical object [Fine,K]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K]
7. Existence / E. Categories / 1. Categories
Even simple propositions about sensations are filled with categories [Hegel]
Thought about particulars is done entirely through categories [Hegel]
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 / B. Unity of Objects / 2. Substance / a. Substance
The one substance is formless without the mediation of dialectical concepts [Hegel]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Essence is the essential self-positing unity of immediacy and mediation [Hegel]
9. Objects / D. Essence of Objects / 14. Knowledge of Essences
Real cognition grasps a thing from within itself, and is not satisfied with mere predicates [Hegel]
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
The Cogito is at the very centre of the entire concern of modern philosophy [Hegel]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Existence is just a set of relationships [Hegel]
12. Knowledge Sources / B. Perception / 1. Perception
The sensible is distinguished from thought by being about singular things [Hegel]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Sense perception is secondary and dependent, while thought is independent and primitive [Hegel]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Empiricism made particular knowledge possible, and blocked wild claims [Hegel]
Empiricism contains the important idea that we should see knowledge for ourselves, and be part of it [Hegel]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Empiricism unknowingly contains and uses a metaphysic, which underlies its categories [Hegel]
Empiricism of the finite denies the supersensible, and can only think with formal abstraction [Hegel]
The Humean view stops us thinking about perception, and finding universals and necessities in it [Hegel]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
Humean scepticism, unlike ancient Greek scepticism, accepts the truth of experience as basic [Hegel]
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]
16. Persons / F. Free Will / 7. Compatibilism
In abstraction, beyond finitude, freedom and necessity must exist together [Hegel]
18. Thought / A. Modes of Thought / 1. Thought
The act of thinking is the bringing forth of universals [Hegel]
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 / B. Mechanics of Thought / 2. Categories of Understanding
Hegel's system has a vast number of basic concepts [Hegel, by Moore,AW]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
We don't think with concepts - we think the concepts [Hegel]
Active thought about objects produces the universal, which is what is true and essential of it [Hegel]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
We can combine ZF sets with abstracts as urelements [Fine,K]
We can create objects from conditions, rather than from concepts [Fine,K]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
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]
No one willingly commits an evil or base act [Socrates]
Socrates did not accept the tripartite soul (which permits akrasia) [Vlastos 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]
26. Natural Theory / C. Causation / 1. Causation
Old metaphysics tried to grasp eternal truths through causal events, which is impossible [Hegel]
28. God / A. Divine Nature / 2. Divine Nature
If God is the abstract of Supremely Real Essence, then God is a mere Beyond, and unknowable [Hegel]
The older conception of God was emptied of human features, to make it worthy of the Infinite [Hegel]
God is the absolute thing, and also the absolute person [Hegel]
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]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
We establish unification of the Ideal by the ontological proof, deriving being from abstraction of thinking [Hegel]