Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Poverty of Philosophy' and 'The DhammaPada'

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15 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
Our life is the creation of our mind [Anon (Dham)]
     Full Idea: What we are today comes from our thoughts of yesterday, and our present thoughts build our life of tomorrow: our life is the creation of our mind.
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §1.1)
     A reaction: I may adopt this as a second epigraph for the database. This idea records the subjective view, which now comes up against evolutionary psychology. Maybe philosophy is opposed to science, because it is committed to exploring the subjective view?
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
     Full Idea: There are many coherent stopping points in the hierarchy of increasingly strong mathematical systems, starting with strict finitism, and moving up through predicativism to the higher reaches of set theory.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], Intro)
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
     Full Idea: Roughly speaking, 'reflection principles' assert that anything true in V [the set hierarchy] falls short of characterising V in that it is true within some earlier level.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 2.1)
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
     Full Idea: There is at present no solid argument to the effect that a given statement is absolutely undecidable.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 5.3)
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
     Full Idea: Some of the standard large cardinals (in order of increasing (logical) strength) are: inaccessible, Mahlo, weakly compact, indescribable, Erdös, measurable, strong, Wodin, supercompact, huge etc. (...and ineffable).
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
     A reaction: [I don't understand how cardinals can have 'logical strength', but I pass it on anyway]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner]
     Full Idea: To the extent that we are justified in accepting Peano Arithmetic we are justified in accepting its consistency, and so we know how to expand the axiom system so as to overcome the limitation [of Gödel's Second Theorem].
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.1)
     A reaction: Each expansion brings a limitation, but then you can expand again.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
Arithmetical undecidability is always settled at the next stage up [Koellner]
     Full Idea: The arithmetical instances of undecidability that arise at one stage of the hierarchy are settled at the next.
     From: Peter Koellner (On the Question of Absolute Undecidability [2006], 1.4)
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
The world is just the illusion of an appearance [Anon (Dham)]
     Full Idea: When a man considers this world as a bubble of froth, and as the illusion of an appearance, then the king of death has no power over him.
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §13.170)
     A reaction: Strictly, of course, this says you can 'consider' things this way. Perhaps we could substitute 'pretends', but the world's great religions don't go in for that sort of thing. Berkeley would be shocked to learn he was approaching Buddhism.
22. Metaethics / B. Value / 2. Values / g. Love
Hate is conquered by love [Anon (Dham)]
     Full Idea: Hate is not conquered by hate: hate is conquered by love. This is the law eternal.
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §1.5)
     A reaction: [N.B. This thought was not invented by Jesus] The challenge to this view might be the tit-for-tat strategy of game theory, which says that hate is actually conquered by a combination of hate and love, judiciously applied.
22. Metaethics / C. The Good / 3. Pleasure / f. Dangers of pleasure
Even divine pleasure will not satisfy the wise, as it is insatiable, and leads to pain [Anon (Dham)]
     Full Idea: Since a shower of gold coins could not satisfy craving desires and the end of all pleasure is pain, how could a wise man find satisfaction even in the pleasures of the gods?
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §14.186)
     A reaction: I'm never sure how so many ancient thinkers arrived at this implausible view. They seem to think that no one knows when to stop, and that every drink leads to hangover. What is actually wrong with moderate sensible pleasure?
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
The foolish gradually fill with evil, like a slowly-filled water-jar [Anon (Dham)]
     Full Idea: The falling of drops of water will in time fill a water-jar. Even so the foolish man becomes full of evil, although he gather it little by little.
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §9.121)
     A reaction: This coincides closely with Aristotle's view of moral education. Maybe a wise man can maintain one small vice. Not all slopes are slippery.
The wise gradually fill with good, like a slowly-filled water-jar [Anon (Dham)]
     Full Idea: The falling of drops of water will in time fill a water-jar. Even so the wise man becomes full of good, although he gather it little by little.
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §9.122)
     A reaction: Again, this is like Aristotle's proposal of how to educate people in virtue. In my experience, there is no guarantee that small acts of politeness and charity will eventually guarantee goodness of character. Thought is also needed.
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Don't befriend fools; either find superior friends, or travel alone [Anon (Dham)]
     Full Idea: If on the great journey of life a man cannot find one who is better or at least as good as himself, let him joyfully travel alone: a fool cannot help him on his journey.
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §5.61)
     A reaction: This is a slightly disturbing aspect of Buddhism, possibly leading to contradiction. It urges friendship and love, but the finest people will have virtually no friends, and solitude is presented as a finer state than friendship.
24. Political Theory / D. Ideologies / 11. Capitalism
The handmill gives feudalism, the steam mill capitalism [Marx]
     Full Idea: The handmill gives you society with the feudal lord; the steam mill society with the industrial capitalist.
     From: Karl Marx (The Poverty of Philosophy [1847], p.202), quoted by Peter Singer - Marx 7
     A reaction: If technology dictates social structure, then feudalism is still with us, in low-tech industries. What if the steam mill had been invented in 1300?
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Speak the truth, yield not to anger, give what you can to him who asks [Anon (Dham)]
     Full Idea: Speak the truth, yield not to anger, give what you can to him who asks: these three steps lead you to the gods
     From: Anon (Dham) (The DhammaPada [c.250 BCE], §17.224)
     A reaction: I don't recall either the Old or New Testament, or the Koran, placing great emphasis on speaking the truth. The injunction to give is not so simple. Give to greedy children, to alcoholics, to criminals, to the rich, to fools, to yourself?