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All the ideas for 'Vagueness, Truth and Logic', 'Ontological Ground of Alethic Modality' and 'fragments/reports'

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48 ideas

1. Philosophy / A. Wisdom / 2. Wise People
Men who love wisdom must be inquirers into very many things indeed [Heraclitus]
     Full Idea: Men who love wisdom must be inquirers into very many things indeed.
     From: Heraclitus (fragments/reports [c.500 BCE], B035), quoted by Clement - Miscellanies 5.140.5
     A reaction: …which invites the question 'Is there anything that a wisdom-seeker should NOT be interested in?'
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Everyone has the potential for self-knowledge and sound thinking [Heraclitus]
     Full Idea: Everyone has the potential for self-knowledge and sound thinking.
     From: Heraclitus (fragments/reports [c.500 BCE], B116), quoted by John Stobaeus - Anthology 3.05.06
     A reaction: This is true. When people are labelled as incapable of philosophy (e.g. by Plato), it is just that they are slow developers.
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Reason is eternal, but men are foolish [Heraclitus]
     Full Idea: Although reason exists forever, men are foolish.
     From: Heraclitus (fragments/reports [c.500 BCE]), quoted by Aristotle - The Art of Rhetoric 1407b
     A reaction: The despair of all philosophers (e.g. Plato) who think reason is the easiest thing in the world, and stares everyone in the face, and yet people seem to spurn this supreme gift from the gods. They needed the optimism of the career teacher.
1. Philosophy / F. Analytic Philosophy / 6. Logical Analysis
Study vagueness first by its logic, then by its truth-conditions, and then its metaphysics [Fine,K]
     Full Idea: My investigation of vagueness began with the question 'What is the correct logic of vagueness?', which led to the further question 'What are the correct truth-conditions for a vague language?', which led to questions of meaning and existence.
     From: Kit Fine (Vagueness, Truth and Logic [1975], Intro)
     A reaction: This is the most perfect embodiment of the strategy of analytical philosophy which I have ever read. It is the strategy invented by Frege in the 'Grundlagen'. Is this still the way to go, or has this pathway slowly sunk into the swamp?
2. Reason / A. Nature of Reason / 2. Logos
Logos is common to all, but most people live as if they have a private understanding [Heraclitus]
     Full Idea: Although the universal law (logos) is common to all, the majority live as if they had understanding peculiar to themselves.
     From: Heraclitus (fragments/reports [c.500 BCE], B002), quoted by Sextus Empiricus - Against the Professors (six books) 7.133.4-
     A reaction: Heraclitus mentions 'logos' in just three fragments - this one, and Idea 15660 and Idea 424.
2. Reason / B. Laws of Thought / 5. Opposites
Beautiful harmony comes from things that are in opposition to one another [Heraclitus]
     Full Idea: That which is in opposition is in concert, and from things that differ comes the beautiful harmony.
     From: Heraclitus (fragments/reports [c.500 BCE], B008), quoted by Aristotle - Nicomachean Ethics 1155b04
A thing can have opposing tensions but be in harmony, like a lyre [Heraclitus]
     Full Idea: They do not understand how that which differs with itself is in agreement: harmony consists of opposing tensions, like that of the bow and the lyre.
     From: Heraclitus (fragments/reports [c.500 BCE], B051), quoted by Hippolytus - Refutation of All Heresies 9.9.2
     A reaction: Like squabbling couples who resent outside intervention. The remark suggests the virtues of 'dialectic', and may get to the heart of what philosophy is.
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
If everything is and isn't then everything is true, and a midway between true and false makes everything false [Aristotle on Heraclitus]
     Full Idea: The remark of Heraclitus that all things are and are not effectively renders all assertions true, and that of Anaxagoras that there is an intermediary between assertion and negation makes all assertions false.
     From: comment on Heraclitus (fragments/reports [c.500 BCE]) by Aristotle - Metaphysics 1012a
     A reaction: Compare Idea 416. Heraclitus is discussing truth-value 'gluts', as in paraconsistent logic, and Anaxagoras is discussing truth-value 'gaps', as in three-valued Kleene logic.
Excluded Middle, and classical logic, may fail for vague predicates [Fine,K]
     Full Idea: Maybe classical logic fails for vagueness in Excluded Middle. If 'H bald ∨ ¬(H bald)' is true, then one disjunct is true. But if the second is true the first is false, and the sentence is either true or false, contrary to the borderline assumption.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 4)
     A reaction: Fine goes on to argue against the implication that we need a special logic for vague predicates.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logic holding between indefinite sentences is the core of all language [Fine,K]
     Full Idea: If language is like a tree, then penumbral connection (logic holding among indefinite sentences) is the seed from which the tree grows, for it provides an initial repository of truths that are to be retained throughout all growth.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 2)
     A reaction: A nice incidental insight arising from his investigation of vagueness. People accept one another's reasons even when they are confused, or hopeless at expressing themselves. Nice.
7. Existence / D. Theories of Reality / 10. Vagueness / d. Vagueness as linguistic
Vagueness is semantic, a deficiency of meaning [Fine,K]
     Full Idea: I take vagueness to be a semantic feature, a deficiency of meaning. It is to be distinguished from generality, undecidability, and ambiguity.
     From: Kit Fine (Vagueness, Truth and Logic [1975], Intro)
     A reaction: Sounds good. If we cut nature at the joints with our language, then nature is going to be too subtle and vast for our finite and gerrymandered language, and so it will break down in tricky situations. But maybe epistemology precedes semantics?
7. Existence / D. Theories of Reality / 10. Vagueness / e. Higher-order vagueness
A thing might be vaguely vague, giving us higher-order vagueness [Fine,K]
     Full Idea: There is a possibility of 'higher-order vagueness'. The vague may be vague, or vaguely vague, and so on. If J has few hairs on his head than H, then he may be a borderline case of a borderline case.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 5)
     A reaction: Such slim grey areas can also be characterised as those where you think he is definitely bald, but I am not so sure.
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
A vague sentence is only true for all ways of making it completely precise [Fine,K]
     Full Idea: A vague sentence is (roughly stated) true if and only if it is true for all ways of making it completely precise (the 'super-truth theory').
     From: Kit Fine (Vagueness, Truth and Logic [1975], Intro)
     A reaction: Intuitively this sounds quite promising. Personally I think we should focus on the 'proposition' rather than the 'sentence' (where fifteen sentences might be needed before we can agree on the one proposition).
Logical connectives cease to be truth-functional if vagueness is treated with three values [Fine,K]
     Full Idea: With a three-value approach, if P is 'blob is pink' and R is 'blob is red', then P&P is indefinite, but P&R is false, and P∨P is indefinite, but P∨R is true. This means the connectives & and ∨ are not truth-functional.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 1)
     A reaction: The point is that there could then be no logic in any way classical for vague sentences and three truth values. A powerful point.
Meaning is both actual (determining instances) and potential (possibility of greater precision) [Fine,K]
     Full Idea: The meaning of an expression is the product of both its actual meaning (what helps determine its instances and counter-instances), and its potential meaning (the possibilities for making it more precise).
     From: Kit Fine (Vagueness, Truth and Logic [1975], 2)
     A reaction: A modal approach to meaning is gloriously original. Being quite a fan of real modalities (the possibilities latent in actuality), I find this intuitively appealing.
With the super-truth approach, the classical connectives continue to work [Fine,K]
     Full Idea: With the super-truth approach, if P is 'blob is pink' and R is 'blob is red', then P&R is false, and P∨R is true, since one of P and R is true and one is false in any complete and admissible specification. It encompasses all 'penumbral truths'.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 3)
     A reaction: [See Idea 9767 for the super-truth approach, and Idea 9770 for a contrasting view] The approach, which seems quite appealing, is that we will in no circumstances give up basic classical logic, but we will make maximum concessions to vagueness.
Borderline cases must be under our control, as capable of greater precision [Fine,K]
     Full Idea: Any borderline case must be under our control, in the sense that it can be settled by making the predicates more precise.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 3)
     A reaction: Sounds good. Consider an abstract concept like the equator. It is precise on a map of the world, but vague when you are in the middle of the tropics. But we can always form a committee to draw a (widish) line on the ground delineating it.
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
The hidden harmony is stronger than the visible [Heraclitus]
     Full Idea: The hidden harmony is stronger (or 'better') than the visible.
     From: Heraclitus (fragments/reports [c.500 BCE], B055), quoted by Hippolytus - Refutation of All Heresies 9.9.5
     A reaction: 'An unapparent connection [harmonia] is stronger than an apparent one' is Curd's translation. I'm taking this for essentialism. It is the basic idea of the essentialising child (see Gelman). The hidden explains the apparent.
9. Objects / A. Existence of Objects / 6. Nihilism about Objects
Everything gives way, and nothing stands fast [Heraclitus]
     Full Idea: Everything gives way, and nothing stands fast.
     From: Heraclitus (fragments/reports [c.500 BCE]), quoted by Plato - Cratylus 402a
     A reaction: This is as good a summary of the Heraclitus view of things as any, and Plato appears to present it as a verbatim quotation.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vagueness can be in predicates, names or quantifiers [Fine,K]
     Full Idea: There are three possible sources of vagueness: the predicates, the names, and the quantifiers.
     From: Kit Fine (Vagueness, Truth and Logic [1975], 1)
     A reaction: Presumably a vagueness about the domain of discussion would be a vagueness in the quantifier. This is a helpful preliminary division, in the semantic approach to vagueness.
A mixed drink separates if it is not stirred [Heraclitus]
     Full Idea: The mixed drink, of wine, cheese and barley, separates if it is not stirred.
     From: Heraclitus (fragments/reports [c.500 BCE], B125)
     A reaction: Wiggins quotes this, because it seems to be Heraclitus struggling to decide what sortal his drink falls under. I take it to be a problem of vagueness, since separation and mixing occur along a continuum, like a sorites.
9. Objects / E. Objects over Time / 8. Continuity of Rivers
It is not possible to step twice into the same river [Heraclitus]
     Full Idea: It is not possible to step twice into the same river.
     From: Heraclitus (fragments/reports [c.500 BCE], B091), quoted by Plutarch - 24: The E at Delphi 392b10-
You can bathe in the same river twice, but not in the same river stage [Quine on Heraclitus]
     Full Idea: You can bathe in the same river twice, but not in the same river stage.
     From: comment on Heraclitus (fragments/reports [c.500 BCE]) by Willard Quine - Identity, Ostension, and Hypostasis 1
     A reaction: This seems to make Quine a 'perdurantist', committed to time-slices of objects, rather than whole objects enduring through change.
9. Objects / E. Objects over Time / 13. No Identity over Time
If flux is continuous, then lack of change can't be a property, so everything changes in every possible way [Plato on Heraclitus]
     Full Idea: According to Heracliteans, since things must be changing, and since lack of change can't be a property of anything, then everything is always undergoing change of every kind.
     From: comment on Heraclitus (fragments/reports [c.500 BCE], B030) by Plato - Theaetetus 182a
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Lewis must specify that all possibilities are in his worlds, making the whole thing circular [Shalkowski, by Sider]
     Full Idea: If purple cows are simply absent from Lewis's multiverse, then certain correct propositions turn out to be impossible. Lewis must require a world for every possibility. But then it is circular, as the multiverse needs modal notions to characterize it.
     From: report of Scott Shalkowski (Ontological Ground of Alethic Modality [1994], 3.9) by Theodore Sider - Reductive Theories of Modality 3.9
     A reaction: [Inversely, a world containing a round square would make that possible] This sounds very nice, though Sider rejects it (p.197). I've never seen how you could define possibility using the concept of 'possible' worlds.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Senses are no use if the soul is corrupt [Heraclitus]
     Full Idea: The eyes and ears are bad witnesses for men if they have barbarian souls.
     From: Heraclitus (fragments/reports [c.500 BCE], B107), quoted by Sextus Empiricus - Against the Mathematicians 7.126
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
When we sleep, reason closes down as the senses do [Heraclitus, by Sext.Empiricus]
     Full Idea: Since when we sleep the senses are closed, mind is separated from its surroundings and loses the power of memory. When we wake the mind re-contacts the world, and regains the power of reason.
     From: report of Heraclitus (fragments/reports [c.500 BCE], A16) by Sextus Empiricus - Against the Professors (six books) 7.130
13. Knowledge Criteria / E. Relativism / 1. Relativism
Donkeys prefer chaff to gold [Heraclitus]
     Full Idea: Donkeys prefer chaff to gold.
     From: Heraclitus (fragments/reports [c.500 BCE], B009), quoted by Aristotle - Nicomachean Ethics 1176a07
Sea water is life-giving for fish, but not for people [Heraclitus]
     Full Idea: Sea-water is the purest and the most polluted: for fish it is drinkable and life-giving; for men, not drinkable and destructive.
     From: Heraclitus (fragments/reports [c.500 BCE], B061), quoted by Hippolytus - Refutation of All Heresies 9.10.5
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
Health, feeding and rest are only made good by disease, hunger and weariness [Heraclitus]
     Full Idea: Disease makes health pleasant and good, hunger makes satisfaction good, weariness makes rest good.
     From: Heraclitus (fragments/reports [c.500 BCE], B111), quoted by John Stobaeus - Anthology 3.1.178
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / e. Ethical cognitivism
To God (though not to humans) all things are beautiful and good and just [Heraclitus]
     Full Idea: To God, all things are beautiful, good and just; but men have assumed some things to be unjust, others just.
     From: Heraclitus (fragments/reports [c.500 BCE], B102), quoted by Porphyry - Notes on Homer Il.4.4
     A reaction: The idea that all things are actually 'just' strikes me as nonsense. I also don't think I can get my head round the idea that everything is actually good and beautiful. Must try harder.
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
Good and evil are the same thing [Heraclitus, by Aristotle]
     Full Idea: Heraclitus said that good and evil are the same thing.
     From: report of Heraclitus (fragments/reports [c.500 BCE], 58/102) by Aristotle - Topics 159b32
     A reaction: Heaven knows what he meant by this, though it sounds suspiciously like moral nihilism. Maybe Heraclitus was not a very nice man. Or is the thought a more sophisticated one, in line with Nietzsche's remarks about cultural morality?
22. Metaethics / B. Value / 1. Nature of Value / e. Means and ends
If one does not hope, one will not find the unhoped-for, since nothing leads to it [Heraclitus]
     Full Idea: If one does not hope, one will not find the unhoped-for, since there is no trail leading to it and no path.
     From: Heraclitus (fragments/reports [c.500 BCE], B018), quoted by Clement - Miscellanies 2.17.4
     A reaction: The best remark about hope I have ever encountered. Usually they are empty platitudes.
22. Metaethics / C. The Good / 1. Goodness / f. Good as pleasure
If happiness is bodily pleasure, then oxen are happy when they have vetch to eat [Heraclitus]
     Full Idea: If happiness lay in bodily pleasures, we would call oxen happy when they find vetch to eat.
     From: Heraclitus (fragments/reports [c.500 BCE], B004), quoted by Albertus Magnus - On Vegetables 6.401
     A reaction: But surely oxen are happy when they find some good vetch? Presumably, though, they are not 'eudaimon'. What is the complete fulfilment of life for an ox?
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
It is hard to fight against emotion, but harder still to fight against pleasure [Heraclitus]
     Full Idea: It is hard to fight against emotion, but harder still to fight against pleasure.
     From: Heraclitus (fragments/reports [c.500 BCE], B085), quoted by Aristotle - Nicomachean Ethics 1105a08
     A reaction: 'Emotion' is the Greek word 'thumos'. "The only way to get rid of a temptation is to yield to it", said Oscar Wilde. Heraclitus underestimates how very good many modern people are at dieting.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
For man character is destiny [Heraclitus]
     Full Idea: For man character is destiny.
     From: Heraclitus (fragments/reports [c.500 BCE], B119), quoted by John Stobaeus - Anthology 4.40.23
     A reaction: This is the extreme opposite of Sartre's existentialist claim that we can entirely change ourselves. Personally I am with Heraclitus, though I don't see why our destined character shouldn't be modified (e.g. by education).
25. Social Practice / D. Justice / 2. The Law / b. Rule of law
The people should fight for the law as if for their city-wall [Heraclitus]
     Full Idea: The people should fight for the law as if for their city-wall.
     From: Heraclitus (fragments/reports [c.500 BCE], B044), quoted by Diogenes Laertius - Lives of Eminent Philosophers 09.2
     A reaction: This may be the first recorded assertion of the rule of law, and hence of the separation of powers. We still have plenty of people who reject this principle.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
Heraclitus said sometimes everything becomes fire [Heraclitus, by Aristotle]
     Full Idea: Heraclitus claimed that from time to time everything becomes fire.
     From: report of Heraclitus (fragments/reports [c.500 BCE]) by Aristotle - Metaphysics 1067a
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Reason tells us that all things are one [Heraclitus]
     Full Idea: When you have listened, not to me but to the law (logos), it is wise to agree that all things are one.
     From: Heraclitus (fragments/reports [c.500 BCE], B050), quoted by Hippolytus - Refutation of All Heresies 9.9.1
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Heraclitus says that at some time everything becomes fire [Heraclitus, by Aristotle]
     Full Idea: Heraclitus says that at some time everything becomes fire.
     From: report of Heraclitus (fragments/reports [c.500 BCE]) by Aristotle - Physics 204b37
     A reaction: Modern cosmology says that Heraclitus was right (pretty much). If we say 'energy' instead of 'fire' (which may be what he meant), then he is absolutely spot-on.
The sayings of Heraclitus are still correct, if we replace 'fire' with 'energy' [Heraclitus, by Heisenberg]
     Full Idea: If we replace Heraclitus's word 'fire' by the word 'energy' we can almost repeat his statements word for word from our modern point of view.
     From: report of Heraclitus (fragments/reports [c.500 BCE]) by Werner Heisenberg - Physics and Philosophy 04
     A reaction: My problem has always been that I have no idea what 'energy' is, so I'm none the wiser.
Heraclitus said fire could be transformed to create the other lower elements [Heraclitus, by Diog. Laertius]
     Full Idea: Heraclitus taught that fire when densified becomes liquid, and becoming concrete, becomes also water; again, that the water when concrete is turned to earth, and this is the road down.
     From: report of Heraclitus (fragments/reports [c.500 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 09.1.6
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
Logos is the source of everything, and my theories separate and explain each nature [Heraclitus]
     Full Idea: All things come into being according to this Law ('logos'), ...and I expound theories (words) and processes (actions) separating each thing according to its nature and explaining how it is made.
     From: Heraclitus (fragments/reports [c.500 BCE], B001), quoted by Sextus Empiricus - Against the Mathematicians 7.133
     A reaction: I like the fact that things are separated according to their natures (particulars!), and not that natures are somehow bestowed on individuals.
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
All things are in a state of motion [Heraclitus, by Aristotle]
     Full Idea: All things are in a state of motion.
     From: report of Heraclitus (fragments/reports [c.500 BCE]) by Aristotle - Topics 104b22
     A reaction: This seems right, I would say. It seems to make a 'process' the fundamental category of ontology, rather than an 'object'.
27. Natural Reality / E. Cosmology / 2. Eternal Universe
The cosmos is eternal not created, and is an ever-living and changing fire [Heraclitus]
     Full Idea: This cosmos, which is the same for all, was not created by any one of the gods or of mankind, but it was ever and is and shall be ever-living fire, kindled and quenched in measure.
     From: Heraclitus (fragments/reports [c.500 BCE], B030), quoted by Clement - Miscellanies 5.1.103
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
Heraclitus says intelligence draws on divine reason [Heraclitus, by Sext.Empiricus]
     Full Idea: According to Heraclitus we become intelligent by drawing on divine reason.
     From: report of Heraclitus (fragments/reports [c.500 BCE], A16) by Sextus Empiricus - Against the Professors (six books) 7.129
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Purifying yourself with blood is as crazy as using mud to wash off mud [Heraclitus]
     Full Idea: They purify themselves by staining themselves with other blood, as if one were to step into mud to wash off mud. But a man would be thought mad if any of his fellow-men should perceive him acting thus.
     From: Heraclitus (fragments/reports [c.500 BCE], B005), quoted by Origen - Against Celsus 7.62
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
In their ignorance people pray to statues, which is like talking to a house [Heraclitus]
     Full Idea: In their ignorance of the true nature of gods and heroes people pray to these statues, which is like someone holding a conversation with a house.
     From: Heraclitus (fragments/reports [c.500 BCE], B005), quoted by Anon (Pyth) - Theosophia Tubigensis 68