Combining Texts

All the ideas for 'The Fixation of Belief', 'fragments/reports' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

unexpand these ideas     |    start again     |     specify just one area for these texts


60 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 / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics does not rest on facts, but on what we are inclined to believe [Peirce]
     Full Idea: Metaphysical systems have not usually rested upon any observed facts, or not in any great degree. They are chiefly adopted because their fundamental propositions seem 'agreeable to reason', which means that which we find ourselves inclined to believe.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.15)
     A reaction: This leads to Peirce's key claim - that we should allow our beliefs to be formed by something outside of ourselves. I don't share Peirce's contempt for metaphysics, which I take to be about the most abstract presuppositions of our ordinary beliefs.
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 / 4. Aims of Reason
Reason aims to discover the unknown by thinking about the known [Peirce]
     Full Idea: The object of reasoning is to find out, from the consideration of what we already know, something else which we do not know.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 7)
     A reaction: I defy anyone to come up with a better definition of reasoning than that. The emphasis is on knowledge rather than truth, which you would expect from a pragmatist. …Actually the definition doesn't cover conditional reasoning terribly well.
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.
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
     Full Idea: Frege (1893) considered a definite description to be a genuine singular term (as we do), so that a sentence like 'The present King of France is bald' would have the same logical form as 'Harry Truman is bald'.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by M Fitting/R Mendelsohn - First-Order Modal Logic
     A reaction: The difficulty is what the term refers to, and they embrace a degree of Meinongianism - that is that non-existent objects can still have properties attributed to them, and so can be allowed some sort of 'existence'.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
     Full Idea: The contradiction in Frege's system is due to the presence of second-order quantification, ..and Frege's explanation of the second-order quantifier, unlike that which he provides for the first-order one, appears to be substitutional rather than objectual.
     From: comment on Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], §25) by Michael Dummett - Frege philosophy of mathematics Ch.17
     A reaction: In Idea 9871 Dummett adds the further point that Frege lacks a clear notion of the domain of quantification. At this stage I don't fully understand this idea, but it is clearly of significance, so I will return to it.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities, such as lengths or masses [Frege]
     Full Idea: If 'number' is the referent of a numerical symbol, a real number is the same as a ratio of quantities. ...A length can have to another length the same ratio as a mass to another mass.
     From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], III.1.73), quoted by Michael Dummett - Frege philosophy of mathematics 21 'Frege's'
     A reaction: This is part of a critique of Cantor and the Cauchy series approach. Interesting that Frege, who is in the platonist camp, is keen to connect the real numbers with natural phenomena. He is always keen to keep touch with the application of mathematics.
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
     Full Idea: It cannot be demanded that everything be proved, because that is impossible; but we can require that all propositions used without proof be expressly declared as such, so that we can see distinctly what the whole structure rests upon.
     From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], p.2), quoted by J. Alberto Coffa - The Semantic Tradition from Kant to Carnap 7 'What'
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
     Full Idea: Frege opts for his famous definition of numbers in terms of extensions of the concept 'equal to the concept F', but he then (in 'Grundgesetze') needs a theory of extensions or classes, which he provided by means of Basic Law V.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by B Hale / C Wright - Intro to 'The Reason's Proper Study' §1
Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
     Full Idea: Cantor pointed out explicitly to Frege that it is a mistake to take the notion of a set (i.e. of that which has a cardinal number) to simply mean the extension of a concept. ...Frege's later assumption of this was an act of recklessness.
     From: comment on Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by William W. Tait - Frege versus Cantor and Dedekind III
     A reaction: ['recklessness' is on p.61] Tait has no sympathy with the image of Frege as an intellectual martyr. Frege had insufficient respect for a great genius. Cantor, crucially, understood infinity much better than Frege.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
My Basic Law V is a law of pure logic [Frege]
     Full Idea: I hold that my Basic Law V is a law of pure logic.
     From: Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893], p.4), quoted by Penelope Maddy - Naturalism in Mathematics I.1
     A reaction: This is, of course, the notorious law which fell foul of Russell's Paradox. It is said to be pure logic, even though it refers to things that are F and things that are G.
7. Existence / D. Theories of Reality / 2. Realism
Realism is basic to the scientific method [Peirce]
     Full Idea: The fundamental hypothesis of the method of science is this: There are real things, whose characters are entirely independent of our opinion of them.
     From: Charles Sanders Peirce (The Fixation of Belief [1877]), quoted by Albert Atkin - Peirce 3 'method'
     A reaction: He admits later that this is only a commitment and not a fact. It seems to me that when you combine this idea with the huge success of science, the denial of realism is crazy. Philosophy has a lot to answer for.
7. Existence / D. Theories of Reality / 4. Anti-realism
If someone doubted reality, they would not actually feel dissatisfaction [Peirce]
     Full Idea: Nobody can really doubt that there are Reals, for, if he did, doubt would not be a source of dissatisfaction.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.19)
     A reaction: This rests on Peirce's view that all that really matters is a sense of genuine dissatisfaction, rather than a theoretical idea. So even at the end of Meditation One, Descartes isn't actually worried about whether his furniture exists.
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
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
The feeling of belief shows a habit which will determine our actions [Peirce]
     Full Idea: The feeling of believing is a more or less sure indication of there being established in our nature some habit which will determine our actions. Doubt never has such an effect.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.10)
     A reaction: It is one thing to assert this fairly accurate observation, and another to assert that this is the essence or definition of a belief. Perhaps it is the purpose of belief, without being the phenomenological essence of it. We act in states of uncertainty.
We are entirely satisfied with a firm belief, even if it is false [Peirce]
     Full Idea: As soon as a firm belief is reached we are entirely satisfied, whether the belief be true or false.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.10)
     A reaction: This does not deny that the truth or falsehood of a belief is independent of whether we are satisfied with it. It is making a fair point, though, about why we believe things, and it can't be because of truth, because we don't know how to ensure that.
We want true beliefs, but obviously we think our beliefs are true [Peirce]
     Full Idea: We seek for a belief that we shall think to be true; but we think each one of our beliefs to be true, and, indeed, it is mere tautology to say so.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: If, as I do, you like to define belief as 'commitment to truth', Peirce makes a rather startling observation. You are rendered unable to ask whether your beliefs are true, because you have defined them as true. Nice point…
A mere question does not stimulate a struggle for belief; there must be a real doubt [Peirce]
     Full Idea: The mere putting of a proposition into the interrogative form does not stimulate the mind to any struggle after belief; there must be a real and living doubt.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: This the attractive aspect of Peirce's pragmatism, that he is always focusing on real life rather than abstract theory or pure logic.
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 / B. Internal Justification / 2. Pragmatic justification
We need our beliefs to be determined by some external inhuman permanency [Peirce]
     Full Idea: It is necessary that a method should be found by which our beliefs be determined by nothing human, but by some external permanency - by something upon which our thinking has no effect.
     From: Charles Sanders Peirce (The Fixation of Belief [1877]), quoted by Robert Fogelin - Walking the Tightrope of Reason Ch.5
     A reaction: This very sensible and interesting remark hovers somewhere between empiricism and pragmatism. Fogelin very persuasively builds his account of knowledge on it. The key point is that we hardly ever choose what to believe. See Idea 2454.
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs
Demonstration does not rest on first principles of reason or sensation, but on freedom from actual doubt [Peirce]
     Full Idea: It is a common idea that demonstration must rest on indubitable propositions, either first principles of a general nature, or first sensations; but actual demonstration is completely satisfactory if it starts from propositions free from all actual doubt.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: Another nice example of Peirce focusing on the practical business of thinking, rather than abstract theory. I agree with this approach, that explanation and proof do not aim at perfection and indubitability, but at what satisfies a critical mind.
13. Knowledge Criteria / C. External Justification / 1. External Justification
Doubts should be satisfied by some external permanency upon which thinking has no effect [Peirce]
     Full Idea: To satisfy our doubts it is necessary that a method should be found by which our beliefs may be determined by nothing human, but by some external permanency - by something upon which our thinking has no effect.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.18)
     A reaction: This may be the single most important idea in pragmatism and in the philosophy of science. See Fodor on experiments (Idea 2455). Put the question to nature. The essential aim is to be passive in our beliefs - just let reality form them.
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
Once doubt ceases, there is no point in continuing to argue [Peirce]
     Full Idea: Some people seem to love to argue a point after all the world is fully convinced of it. But no further advance can be made. When doubt ceases, mental action on the subject comes to an end; and, if it did go on, it would be without purpose.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.11)
     A reaction: This is the way Peirce's pragmatism, which deals with how real thinking actually works (rather than abstract logic), deals with scepticism. However, there is a borderline where almost everyone is satisfied, but the very wise person remains sceptical.
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
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
     Full Idea: In later Frege, a concept could be taken as a particular case of a function, mapping every object on to one of the truth-values (T or F), according as to whether, as we should ordinarily say, that object fell under the concept or not.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Michael Dummett - The Philosophy of Mathematics 3.5
     A reaction: As so often in these attempts at explanation, this sounds circular. You can't decide whether an object truly falls under a concept, if you haven't already got the concept. His troubles all arise (I say) because he scorns abstractionist accounts.
Frege took the study of concepts to be part of logic [Frege, by Shapiro]
     Full Idea: Frege took the study of concepts and their extensions to be within logic.
     From: report of Gottlob Frege (Grundgesetze der Arithmetik 1 (Basic Laws) [1893]) by Stewart Shapiro - Foundations without Foundationalism 7.1
     A reaction: This is part of the plan to make logic a universal language (see Idea 13664). I disagree with this, and with the general logicist view of the position of logic. The logical approach thins concepts out. See Deleuze/Guattari's horror at this.
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 / 2. Defining Kinds
What is true of one piece of copper is true of another (unlike brass) [Peirce]
     Full Idea: The guiding principle is that what is true of one piece of copper is true of another; such a guiding principle with regard to copper would be much safer than with regard to many other substances - brass, for example.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 8)
     A reaction: Peirce is so beautifully simple and sensible. This gives the essential notion of a natural kind, and is a key notion in our whole understanding of physical reality.
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
27. Natural Reality / G. Biology / 3. Evolution
Natural selection might well fill an animal's mind with pleasing thoughts rather than true ones [Peirce]
     Full Idea: It is probably of more advantage to an animal to have his mind filled with pleasing and encouraging visions, independently of their truth; and thus, upon unpractical subjects, natural selection might occasion a fallacious tendency of thought.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p. 8)
     A reaction: Note that this is a pragmatist saying that a set of beliefs might work fine but be untrue. So Peirce does not have the highly relativistic notion of truth of some later pragmatists. Good for him. Note the early date to be thinking about Darwin.
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
If death is annihilation, belief in heaven is a cheap pleasure with no disappointment [Peirce]
     Full Idea: If death is annihilation, then the man who believes that he will certainly go straight to heaven when he dies, provided he have fulfilled certain simple observances in this life, has a cheap pleasure which will not be followed by the least disappointment.
     From: Charles Sanders Peirce (The Fixation of Belief [1877], p.12)
     A reaction: This is a nicely wicked summary of one side of Pascal's options. All the problems of the argument are built into Peirce's word "cheap". Peirce goes on to talk about ostriches burying their heads.
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