Combining Philosophers

All the ideas for Richard Cumberland, Brian Clegg and Heraclitus

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62 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.
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 / A. Nature of Reason / 7. Status of Reason
If a decision is in accord with right reason, everyone can agree with it [Cumberland]
     Full Idea: No decision can be in accord with right reason unless all can agree on it.
     From: Richard Cumberland (De Legibus Naturae [1672], Ch.V.XLVI)
     A reaction: Personally I think anyone who disagrees with this should get out of philosophy (and into sociology, fantasy fiction, ironic game-playing, crime…). Of course 'can' agree is not the same as 'will' agree. You must have faith that good reasons are persuasive.
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.
4. Formal Logic / F. Set Theory ST / 2. Mechanics of Set Theory / b. Terminology of ST
A set is 'well-ordered' if every subset has a first element [Clegg]
     Full Idea: For a set to be 'well-ordered' it is required that every subset of the set has a first element.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13)
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
Set theory made a closer study of infinity possible [Clegg]
     Full Idea: Set theory made a closer study of infinity possible.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13)
Any set can always generate a larger set - its powerset, of subsets [Clegg]
     Full Idea: The idea of the 'power set' means that it is always possible to generate a bigger one using only the elements of that set, namely the set of all its subsets.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.14)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
Extensionality: Two sets are equal if and only if they have the same elements [Clegg]
     Full Idea: Axiom of Extension: Two sets are equal if and only if they have the same elements.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing: For any two sets there exists a set to which they both belong [Clegg]
     Full Idea: Axiom of Pairing: For any two sets there exists a set to which they both belong. So you can make a set out of two other sets.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / d. Axiom of Unions III
Unions: There is a set of all the elements which belong to at least one set in a collection [Clegg]
     Full Idea: Axiom of Unions: For every collection of sets there exists a set that contains all the elements that belong to at least one of the sets in the collection.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: There exists a set of the empty set and the successor of each element [Clegg]
     Full Idea: Axiom of Infinity: There exists a set containing the empty set and the successor of each of its elements.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
     A reaction: This is rather different from the other axioms because it contains the notion of 'successor', though that can be generated by an ordering procedure.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
Powers: All the subsets of a given set form their own new powerset [Clegg]
     Full Idea: Axiom of Powers: For each set there exists a collection of sets that contains amongst its elements all the subsets of the given set.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
     A reaction: Obviously this must include the whole of the base set (i.e. not just 'proper' subsets), otherwise the new set would just be a duplicate of the base set.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Choice: For every set a mechanism will choose one member of any non-empty subset [Clegg]
     Full Idea: Axiom of Choice: For every set we can provide a mechanism for choosing one member of any non-empty subset of the set.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
     A reaction: This axiom is unusual because it makes the bold claim that such a 'mechanism' can always be found. Cohen showed that this axiom is separate. The tricky bit is choosing from an infinite subset.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / k. Axiom of Existence
Axiom of Existence: there exists at least one set [Clegg]
     Full Idea: Axiom of Existence: there exists at least one set. This may be the empty set, but you need to start with something.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / l. Axiom of Specification
Specification: a condition applied to a set will always produce a new set [Clegg]
     Full Idea: Axiom of Specification: For every set and every condition, there corresponds a set whose elements are exactly the same as those elements of the original set for which the condition is true. So the concept 'number is even' produces a set from the integers.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
     A reaction: What if the condition won't apply to the set? 'Number is even' presumably won't produce a set if it is applied to a set of non-numbers.
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.
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Mathematics can be 'pure' (unapplied), 'real' (physically grounded); or 'applied' (just applicable) [Clegg]
     Full Idea: Three views of mathematics: 'pure' mathematics, where it doesn't matter if it could ever have any application; 'real' mathematics, where every concept must be physically grounded; and 'applied' mathematics, using the non-real if the results are real.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.17)
     A reaction: Very helpful. No one can deny the activities of 'pure' mathematics, but I think it is undeniable that the origins of the subject are 'real' (rather than platonic). We do economics by pretending there are concepts like the 'average family'.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
Beyond infinity cardinals and ordinals can come apart [Clegg]
     Full Idea: With ordinary finite numbers ordinals and cardinals are in effect the same, but beyond infinity it is possible for two sets to have the same cardinality but different ordinals.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13)
An ordinal number is defined by the set that comes before it [Clegg]
     Full Idea: You can think of an ordinal number as being defined by the set that comes before it, so, in the non-negative integers, ordinal 5 is defined as {0, 1, 2, 3, 4}.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.13)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Transcendental numbers can't be fitted to finite equations [Clegg]
     Full Idea: The 'transcendental numbers' are those irrationals that can't be fitted to a suitable finite equation, of which π is far and away the best known.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch. 6)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / k. Imaginary numbers
By adding an axis of imaginary numbers, we get the useful 'number plane' instead of number line [Clegg]
     Full Idea: The realisation that brought 'i' into the toolkit of physicists and engineers was that you could extend the 'number line' into a new dimension, with an imaginary number axis at right angles to it. ...We now have a 'number plane'.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.12)
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
Either lack of zero made early mathematics geometrical, or the geometrical approach made zero meaningless [Clegg]
     Full Idea: It is a chicken-and-egg problem, whether the lack of zero forced forced classical mathematicians to rely mostly on a geometric approach to mathematics, or the geometric approach made 0 a meaningless concept, but the two remain strongly tied together.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch. 6)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Cantor's account of infinities has the shaky foundation of irrational numbers [Clegg]
     Full Idea: As far as Kronecker was concerned, Cantor had built a whole structure on the irrational numbers, and so that structure had no foundation at all.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
The Continuum Hypothesis is independent of the axioms of set theory [Clegg]
     Full Idea: Paul Cohen showed that the Continuum Hypothesis is independent of the axioms of set theory.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.15)
The 'continuum hypothesis' says aleph-one is the cardinality of the reals [Clegg]
     Full Idea: The 'continuum hypothesis' says that aleph-one is the cardinality of the rational and irrational numbers.
     From: Brian Clegg (Infinity: Quest to Think the Unthinkable [2003], Ch.14)
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
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
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 / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Natural law is supplied to the human mind by reality and human nature [Cumberland]
     Full Idea: Some truths of natural law, concerning guides to moral good and evil, and duties not laid down by civil law and government, are necessarily supplied ot the human mind by the nature of things and of men.
     From: Richard Cumberland (De Legibus Naturae [1672], Ch.I.I)
     A reaction: I agree that some moral truths have the power of self-evidence. If you say they are built into the mind, we now ask what did the building, and evolution is the only answer, and hence we distance ourselves from the truths, seeing them as strategies.
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 / B. Value / 1. Nature of Value / f. Ultimate value
If there are different ultimate goods, there will be conflicting good actions, which is impossible [Cumberland]
     Full Idea: If there be posited different ultimate ends, whose causes are opposed to each other, then there will be truly good actions likewise opposed to each other, which is impossible.
     From: Richard Cumberland (De Legibus Naturae [1672], Ch.V.XVI)
     A reaction: A very interesting argument for there being one good rather than many, and an argument which I don't recall in any surviving Greek text. A response might be to distinguish between what is 'right' and what is 'good'. See David Ross.
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).
23. Ethics / E. Utilitarianism / 1. Utilitarianism
The happiness of individuals is linked to the happiness of everyone (which is individuals taken together) [Cumberland]
     Full Idea: The happiness of each person cannot be separated from the happiness of all, because the whole is no different from the parts taken together.
     From: Richard Cumberland (De Legibus Naturae [1672], Ch.I.VI)
     A reaction: Sounds suspiciously like the fallacy of composition (Idea 6219). An objection to utilitarianism is its assumption that a group of people have a 'total happiness' that is different from their individual states. Still, Cumberland is on to utilitarianism.
The happiness of all contains the happiness of each, and promotes it [Cumberland]
     Full Idea: The common happiness of all contains the greatest happiness for each, and most effectively promotes it. …There is no path leading anyone to his own happiness, other than the path which leads all to the common happiness.
     From: Richard Cumberland (De Legibus Naturae [1672], Ch.I.VI)
     A reaction: I take this as a revolutionary idea, which leads to utilitarianism. It is doing what seemed to the Greeks unthinkable, which is combining hedonism with altruism. There is no proof for it, but it is a wonderful clarion call for building a civil society.
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.
25. Social Practice / D. Justice / 2. The Law / c. Natural law
Natural law is immutable truth giving moral truths and duties independent of society [Cumberland]
     Full Idea: Natural law is certain propositions of immutable truth, which guide voluntary actions about the choice of good and avoidance of evil, and which impose an obligation to act, even without regard to civil laws, and ignoring compacts of governments.
     From: Richard Cumberland (De Legibus Naturae [1672], Ch.I.I)
     A reaction: Not a popular view, but I am sympathetic. If you are in a foreign country and find a person lying in pain, there is a terrible moral deficiency in anyone who just ignores such a thing. No legislation can take away a person's right of self-defence.
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