Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'On the Concept of Number' 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)]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
We have no argument to show a statement is absolutely undecidable [Koellner]
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]
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]
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]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert said (to block paradoxes) that mathematical existence is entailed by consistency [Hilbert, by Potter]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism
The world is just the illusion of an appearance [Anon (Dham)]
22. Metaethics / B. Value / 2. Values / g. Love
Hate is conquered by love [Anon (Dham)]
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)]
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)]
The wise gradually fill with good, like a slowly-filled water-jar [Anon (Dham)]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
Don't befriend fools; either find superior friends, or travel alone [Anon (Dham)]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
Speak the truth, yield not to anger, give what you can to him who asks [Anon (Dham)]