Combining Texts

All the ideas for 'Pens��es', 'The Koran' and 'Logicism Revisited'

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


45 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Instead of prayer and charity, sinners pursue vain disputes and want their own personal scripture [Mohammed]
     Full Idea: The sinners will say 'we never prayed or fed the hungry. We engaged in vain disputes and denied the Day of Reckoning'. Indeed, each one of them demands a scripture of his own to be unrolled before him.
     From: Mohammed (The Koran [c.622], Ch.74)
     A reaction: The implication seems to be that most disputes are 'vain'. The charge that everyone wants a 'scripture of his own' is a nice challenge to the world of liberal education, where we are all enjoined to pursue our personalised routes to our own truth.
2. Reason / A. Nature of Reason / 9. Limits of Reason
The heart has its reasons of which reason knows nothing [Pascal]
     Full Idea: The heart has its reasons of which reason knows nothing.
     From: Blaise Pascal (Pensées [1662], 423 (277))
     A reaction: This romantic remark has passed into folklore. I am essentially against it, but the role of intuition and instinct are undeniable in both reasoning and ethics. I don't feel inclined, though, to let my heart overrule my reason concerning what exists.
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave]
     Full Idea: The If-thenist view seems to apply straightforwardly only to the axiomatised portions of mathematics.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: He cites Lakatos to show that cutting-edge mathematics is never axiomatised. One might reply that if the new mathematics is any good then it ought to be axiomatis-able (barring Gödelian problems).
Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave]
     Full Idea: If we identify logic with first-order logic, and mathematics with the collection of first-order theories, then maybe we can continue to maintain the If-thenist position.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: The problem is that If-thenism must rely on rules of inference. That seems to mean that what is needed is Soundness, rather than Completeness. That is, inference by the rules must work properly.
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave]
     Full Idea: Containing only logical notions is not a necessary condition for being a logical truth, since a logical truth such as 'all men are men' may contain non-logical notions such as 'men'.
     From: Alan Musgrave (Logicism Revisited [1977], §3)
     A reaction: [He attributes this point to Russell] Maybe it is only a logical truth in its general form, as ∀x(x=x). Of course not all 'banks' are banks.
A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave]
     Full Idea: The standard modern view of logical truth is that a statement is logically true if it comes out true in all interpretations in all (non-empty) domains.
     From: Alan Musgrave (Logicism Revisited [1977], §3)
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]
     Full Idea: The axiom of Peano which states that no two numbers have the same successor requires the Axiom of Infinity for its proof.
     From: Alan Musgrave (Logicism Revisited [1977], §4 n)
     A reaction: [He refers to Russell 1919:131-2] The Axiom of Infinity is controversial and non-logical.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism seems to exclude all creative, growing mathematics [Musgrave]
     Full Idea: Formalism seems to exclude from consideration all creative, growing mathematics.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: [He cites Lakatos in support] I am not immediately clear why spotting the remote implications of a formal system should be uncreative. The greatest chess players are considered to be highly creative and imaginative.
Formalism is a bulwark of logical positivism [Musgrave]
     Full Idea: Formalism is a bulwark of logical positivist philosophy.
     From: Alan Musgrave (Logicism Revisited [1977], §5)
     A reaction: Presumably if you drain all the empirical content out of arithmetic and geometry, you are only left with the bare formal syntax, of symbols and rules. That seems to be as analytic as you can get.
12. Knowledge Sources / C. Rationalism / 1. Rationalism
The first principles of truth are not rational, but are known by the heart [Pascal]
     Full Idea: We know the truth not only through our reason but also through our heart. It is through that latter that we know first principles, and reason, which has nothing to do with it, tries in vain to refute them.
     From: Blaise Pascal (Pensées [1662], 110 p.58), quoted by Terry Pinkard - German Philosophy 1760-1860 04 n4
     A reaction: This resembles the rationalist defence of fundamental a priori principles, needed as a foundation for knowledge. But the a priori insights are not a feature of the 'natural light' of reason, and are presumably inexplicable (of the 'heart').
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave]
     Full Idea: Logical positivists did not adopt old-style logicism, but rather logicism spiced with varying doses of If-thenism.
     From: Alan Musgrave (Logicism Revisited [1977], §4)
     A reaction: This refers to their account of mathematics as a set of purely logical truths, rather than being either empirical, or a priori synthetic.
19. Language / F. Communication / 1. Rhetoric
We only want to know things so that we can talk about them [Pascal]
     Full Idea: We usually only want to know something so that we can talk about it.
     From: Blaise Pascal (Pensées [1662], 77 (152))
     A reaction: This may be right, but I wouldn't underestimate it as a worthy end (though Pascal, as usual, calls it 'vanity'). Good talk might even be the highest human good (how many people like, more than anything, chatting in pubs?), and good talk is knowledgeable.
21. Aesthetics / C. Artistic Issues / 3. Artistic Representation
Painting makes us admire things of which we do not admire the originals [Pascal]
     Full Idea: How vain painting is, exciting admiration by its resemblance to things of which we do not admire the originals.
     From: Blaise Pascal (Pensées [1662], 40 (134))
     A reaction: A lesser sort of painting simply depicts things we admire, such as a nice stretch of landscape. For Pascal it is vanity, but it could be defended as the highest achievement of art, if the purpose of artists is to make us see beauty where we had missed it.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
It is a funny sort of justice whose limits are marked by a river [Pascal]
     Full Idea: It is a funny sort of justice whose limits are marked by a river; true on this side of the Pyrenees, false on the other.
     From: Blaise Pascal (Pensées [1662], 60 (294))
     A reaction: Pascal gives nice concise summaries of our intuitions. Legal justice may be all we can actually get, but everyone knows that what happens to someone could be 'fair' on one side of a river, and very 'unfair' on the other.
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Imagination creates beauty, justice and happiness, which is the supreme good [Pascal]
     Full Idea: Imagination decides everything: it creates beauty, justice and happiness, which is the world's supreme good.
     From: Blaise Pascal (Pensées [1662], 44 (82))
     A reaction: Compare Fogelin's remark in Idea 6555. I see Pascal's point, but these ideals are also responses to facts about the world, such as human potential and human desire and successful natural functions.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
We live for the past or future, and so are never happy in the present [Pascal]
     Full Idea: Our thoughts are wholly concerned with the past or the future, never with the present, which is never our end; thus we never actually live, but hope to live, and since we are always planning to be happy, it is inevitable that we should never be so.
     From: Blaise Pascal (Pensées [1662], 47 (172))
     A reaction: A very nice expression of the importance of 'living for the moment' as a route to happiness. Personally I am occasionally startled by the thought 'Good heavens, I seem to be happy!', but it usually passes quickly. How do you plan for the present?
23. Ethics / B. Contract Ethics / 1. Contractarianism
Repay evil with good and your enemies will become friends (though this is hard) [Mohammed]
     Full Idea: Requite evil with good, and he who is your enemy will become your dearest friend; but none will attain this save those who endure with fortitude and are greatly favoured by Allah.
     From: Mohammed (The Koran [c.622], Ch.41)
     A reaction: This seems opposed to some of the more vengeful remarks in the Koran. It strikes me as good common sense, since vengeance only seems to breed counter-vengeance. It doesn't carry the full altruistic commitment, though, of unrewarded love.
You may break off a treaty if you fear treachery from your ally [Mohammed]
     Full Idea: If you fear treachery from any of your allies, you may retaliate by breaking off your treaty with them; Allah does not love the treacherous.
     From: Mohammed (The Koran [c.622], Ch.8)
     A reaction: I do not think this is good advice. Everybody fears treachery, but if we all acted on that fear human relationships and society would immediately collapse. If anyone thought this was good advice, I would not want to make a treaty with them.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Allah rewards those who are devout, sincere, patient, humble, charitable, chaste, and who fast [Mohammed]
     Full Idea: Allah will bestow forgiveness and a rich reward on those, both men and women, who are devout, sincere, patient, humble, charitable and chaste; who fast and are ever mindful of Allah.
     From: Mohammed (The Koran [c.622], Ch.33)
     A reaction: Most people would still agree that all of these are virtues, though other lists will show interesting virtues that are not mentioned here, and many on this list seem overrated in the modern pantheon of virtues.
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Those who avenge themselves when wronged incur no guilt [Mohammed]
     Full Idea: Those who avenge themselves when wronged incur no guilt.
     From: Mohammed (The Koran [c.622], Ch.42)
     A reaction: Compare Ideas 1659 (Protagoras), 346 (Socrates), 6288 (Jesus), and 4286 (Scruton!). In the light of those ideas, this comment in the Koran strikes me as coming from an older and less civilized world.
23. Ethics / F. Existentialism / 3. Angst
If man considers himself as lost and imprisoned in the universe, he will be terrified [Pascal]
     Full Idea: Let man consider what he is in comparison with what exists; let him regard himself as lost, and from this little dungeon the universe, let him learn to take the earth and himself at their proper value. Anyone considering this will be terrified at himself.
     From: Blaise Pascal (Pensées [1662], p.199), quoted by Kevin Aho - Existentialism: an introduction Pref 'What?
     A reaction: [p.199 of Penguin edn] Cited by Aho as a forerunner of existentialism. Montaigne probably influenced Pascal. Interesting that this is to be a self-inflicted existential crisis (for some purpose, probably Christian).
24. Political Theory / D. Ideologies / 5. Democracy / a. Nature of democracy
Majority opinion is visible and authoritative, although not very clever [Pascal]
     Full Idea: Majority opinion is the best way because it can be seen, and is strong enough to command obedience, but it is the opinion of those who are least clever.
     From: Blaise Pascal (Pensées [1662], 85 (878))
     A reaction: A nice statement of the classic dilemma faced by highly educated people over democracy. Plato preferred the clever, Aristotle agreed with Pascal, and with me. Politics must make the best of it, not pursue some ideal. Education is the one feeble hope.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
It is not good to be too free [Pascal]
     Full Idea: It is not good to be too free.
     From: Blaise Pascal (Pensées [1662], 57 (379))
     A reaction: All Americans, please take note. I agree with this, because I agree with Aristotle that man is essentially a social animal (Idea 5133), and living in a community is a matter of compromise. Extreme libertarianism contradicts our natures, and causes misery.
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
Punish theft in men or women by cutting off their hands [Mohammed]
     Full Idea: As for the man or woman who is guilty of theft, cut off their hands to punish them for their crimes.
     From: Mohammed (The Koran [c.622], Ch.5)
     A reaction: I find this shocking because it is irrevocable and offers no hope of redemption. It is particularly shocking that the text does not enjoin any caution about inflicting the punishment on the young, most of whom reform from thieving in later life.
25. Social Practice / F. Life Issues / 1. Causing Death
Do not kill except for a just cause [Mohammed]
     Full Idea: Do not kill except for a just cause.
     From: Mohammed (The Koran [c.622], Ch.25)
     A reaction: Slippery slope! I can see that pleasure would not be a just cause, and ensuring the entry of all humanity to paradise might be one, but I find the area in between a little unclear. The Koran seems to allow you to decide for yourself.
Killing a human, except as just punishment, is like killing all mankind [Mohammed]
     Full Idea: We laid it down for the Israelites that whoever killed a human being, except as a punishment for murder or other wicked crimes, should be looked upon as though he had killed all mankind.
     From: Mohammed (The Koran [c.622], Ch.5)
     A reaction: It seems inconceivable that the Koran could be used to justify indiscriminate terrorism, in the light of remarks such as this.
28. God / A. Divine Nature / 2. Divine Nature
Allah is lord of creation, compassionate, merciful, king of judgement-day [Mohammed]
     Full Idea: Praise be to Allah, Lord of Creation, The Compassionate, the Merciful, King of Judgement-day!
     From: Mohammed (The Koran [c.622], Exord)
     A reaction: The Muslim concept of God confronts directly a clear theological difficulty, a difficulty faced by any judge: the conflict between mercy and justice. Christianity seems to emphasise mercy, and Islam emphasises justice.
28. God / B. Proving God / 2. Proofs of Reason / d. Pascal's Wager
Pascal knows you can't force belief, but you can make it much more probable [Pascal, by Hacking]
     Full Idea: Pascal knows that one cannot decide to believe in God, but he thinks one can act so that one will very probably come to believe in God, by following a life of 'holy water and sacraments'.
     From: report of Blaise Pascal (Pensées [1662], 418 (233)) by Ian Hacking - The Emergence of Probability Ch.8
     A reaction: This meets the most obvious and simple objection to Pascal's idea, and Pascal may well be right. I'm not sure I could resist belief after ten years in a monastery.
Pascal is right, but relies on the unsupported claim of a half as the chance of God's existence [Hacking on Pascal]
     Full Idea: Pascal's argument is valid, but it is presented with a monstrous premise of equal chance. We have no good reason for picking a half as the chance of God's existence.
     From: comment on Blaise Pascal (Pensées [1662], 418 (233)) by Ian Hacking - The Emergence of Probability Ch.8
     A reaction: That strikes me as the last word on this rather bizarre argument.
The libertine would lose a life of enjoyable sin if he chose the cloisters [Hacking on Pascal]
     Full Idea: The libertine is giving up something if he chooses to adopt a pious form of life. He likes sin. If God is not, the worldly life is preferable to the cloistered one.
     From: comment on Blaise Pascal (Pensées [1662], 418 (233)) by Ian Hacking - The Emergence of Probability Ch.8
     A reaction: This is a very good objection to Pascal, who seems to think you really have nothing at all to lose. I certainly don't intend to become a monk, because the chances of success seem incredibly remote from where I am sitting.
If you win the wager on God's existence you win everything, if you lose you lose nothing [Pascal]
     Full Idea: How will you wager if a coin is spun on 'Either God is or he is not'? ...If you win you win everything, if you lose you lose nothing.
     From: Blaise Pascal (Pensées [1662], 418 (233))
     A reaction: 'Sooner safe than sorry' is a principle best used with caution. Do you really 'lose nothing' by believing a falsehood for the whole of your life? What God would reward belief on such a principles as this?
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
True believers see that Allah made the night for rest and the day to give light [Mohammed]
     Full Idea: Do they not see how We have made the night for them to rest in and the day to give them light? Surely there are signs in this for true believers.
     From: Mohammed (The Koran [c.622], Ch.27)
     A reaction: The main traditional argument for God implied in the Koran is the design argument. It is clear from this that Islam will not be comfortable with Darwinian evolution, which implies we are 'designed' for the Earth, not the Earth for us.
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Allah cannot have begotten a son, as He is self-sufficient [Mohammed]
     Full Idea: They say: 'Allah has begotten a son.' Allah forbid! Self-sufficient is He.
     From: Mohammed (The Koran [c.622], Ch.10)
     A reaction: This is quite persuasive, except that the point of Jesus is that he suffers a cruel death, and we are required to identify with God's parental feelings here, His involvement, which would not occur with the death of one of His prophets.
29. Religion / B. Monotheistic Religion / 6. Islam
He that kills a believer by design shall burn in Hell for ever [Mohammed]
     Full Idea: He that kills a believer by design shall burn in Hell for ever.
     From: Mohammed (The Koran [c.622], Ch.4)
     A reaction: This would appear to make modern indiscriminate urban terrorism a damning sin for a Muslim.
There shall be no compulsion in religion [Mohammed]
     Full Idea: There shall be no compulsion in religion.
     From: Mohammed (The Koran [c.622], Ch.2)
     A reaction: This seems to contradict some of the more aggressive remarks in the Koran, such as Idea 6827. As I read it, the three non-compelling ideas that lead to true religion in the Koran are desire for paradise, fear of punishment, and worship of divine design.
Unbelievers try to interpret the ambiguous parts of the Koran, simply to create dissension [Mohammed]
     Full Idea: Some of the verses of the Koran are precise in meaning - they are the foundations of the Book - and others are ambiguous. Disbelievers follow the ambiguous part, to create dissension by seeking to explain it. No one knows its meaning except Allah.
     From: Mohammed (The Koran [c.622], Ch.3)
     A reaction: It is tempting to ask why some of the verses are ambiguous. The implication here is that they are a deliberate test for believers, like the apple in the garden of Eden.
The Koran is certainly composed by Allah; no one could compose a chapter like it [Mohammed]
     Full Idea: This Koran could not have been composed by any but Allah. It is beyond doubt from the Lord of the Creation. If they say: 'It is your own invention', say: 'Compose one chapter like it. Call on your false gods to help you!'
     From: Mohammed (The Koran [c.622], Ch.10)
     A reaction: I find this unpersuasive, firstly because I couldn't imitate the sonnets of Shakespeare either, and secondly because the authority of a text must be asserted outside the text, not within it. Scribble "this is a ten pound note" on a scrap of paper.
Do not split into sects, exulting in separate beliefs [Mohammed]
     Full Idea: Do not split up your religion into sects, each exulting in its own beliefs.
     From: Mohammed (The Koran [c.622], Ch.30)
     A reaction: This seems like good advice to a religion, but it is very difficult to retrace steps and reunite once it has happened. Which sect should make the greatest concessions? Must they both admit to being somewhat wrong?
I created mankind that it might worship Me [Mohammed]
     Full Idea: I created mankind and the jinn in order that they might worship Me.
     From: Mohammed (The Koran [c.622], Ch.51)
     A reaction: This seems to be a view common to all the monotheistic religions, with monasticism as its clearest (and most logical) outcome. Nietzsche is the most obvious opponent of this idea that the abasement of mankind is its highest ideal.
Be patient with unbelievers, and leave them to the judgement of Allah [Mohammed]
     Full Idea: Bear patiently with what the unbelievers say, and leave their company without recrimination; leave to Me those that deny the truth.
     From: Mohammed (The Koran [c.622], Ch.73)
     A reaction: This explicitly says Muslims should not attack infidels simply for their unbelief in Allah.
Make war on the unbelievers until Allah's religion reigns supreme [Mohammed]
     Full Idea: Make war on the unbelievers until idolatry is no more and Allah's religion reigns supreme.
     From: Mohammed (The Koran [c.622], Ch.8)
     A reaction: This should presumably be seen in context, as a war speech written during a conflict, like Churchill 'fighting them on the beaches', which does not apply to modern German tourists. However, one worries about how fundamentalists might read it.
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
The righteous shall dwell on couches in gardens, wedded to dark-eyed houris [Mohammed]
     Full Idea: In fair gardens the righteous shall dwell in bliss, rejoicing in what their Lord will give them. They shall recline on couches ranged in rows. To dark-eyed houris We shall wed them.
     From: Mohammed (The Koran [c.622], Ch.52)
     A reaction: What I find distressing about this is that we have gradually worked out how young men can recline on couches in gardens with dark-eyed houris before death, and the Koran seems to depict it as the highest form of living.
Heaven will be reclining on couches, eating fruit, attended by virgins [Mohammed]
     Full Idea: All who dwell in heaven shall recline on couches lined with thick brocade, and within their reach will hang the fruits of gardens; they shall dwell with bashful virgins whom neither men nor jinnee will have touched before.
     From: Mohammed (The Koran [c.622], Ch.55)
     A reaction: In the seventh century this was more impressive than it seems now. I still find it sad (though understandable) that paradise must always be depicted in terms of physical pleasure. Aristotle wouldn't have yearned for such an immortality.
29. Religion / D. Religious Issues / 2. Immortality / e. Hell
Unbelievers will have their skin repeatedly burned off in hell [Mohammed]
     Full Idea: Those that deny Our revelations We will burn in Hell-fire. No sooner will their skins be consumed that We shall give them other skins, so that they may truly taste Our scourge. Allah is mighty and wise.
     From: Mohammed (The Koran [c.622], Ch.4)
     A reaction: Of all the accounts of hell in the Koran, this strikes me as the most alarming. I cannot think of a worse infliction, because here every nerve which can experience pain will suffer it (though the drinking of boiling water, Idea 6816, will make it worse).
The unbelievers shall drink boiling water [Mohammed]
     Full Idea: As for the unbelievers, they shall drink boiling water.
     From: Mohammed (The Koran [c.622], Ch.10)
     A reaction: This seems to be presented not only as a threat to unbelievers, but also as a satisfaction to believers.