Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Mirror Mirror - Is That All?' and 'fragments/reports'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
9327 Organisms understand their worlds better if they understand themselves [Gulick]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
17884 Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner]
17893 'Reflection principles' say the whole truth about sets can't be captured [Koellner]
5. Theory of Logic / K. Features of Logics / 5. Incompleteness
17894 We have no argument to show a statement is absolutely undecidable [Koellner]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
5109 The fast runner must always reach the point from which the slower runner started [Zeno of Elea, by Aristotle]
1507 We don't have time for infinite quantity, but we do for infinite divisibility, because time is also divisible [Aristotle on Zeno of Elea]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
1512 Zeno is wrong that one grain of millet makes a sound; why should one grain achieve what the whole bushel does? [Aristotle on Zeno of Elea]
5. Theory of Logic / L. Paradox / 7. Paradoxes of Time
1508 Zeno's arrow paradox depends on the assumption that time is composed of nows [Aristotle on Zeno of Elea]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
17890 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
17887 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
17891 Arithmetical undecidability is always settled at the next stage up [Koellner]
11. Knowledge Aims / A. Knowledge / 2. Understanding
9325 In contrast with knowledge, the notion of understanding emphasizes practical engagement [Gulick]
11. Knowledge Aims / A. Knowledge / 6. Knowing How
9326 Knowing-that is a much richer kind of knowing-how [Gulick]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
9319 Is consciousness a type of self-awareness, or is being self-aware a way of being conscious? [Gulick]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
9320 Higher-order theories divide over whether the higher level involves thought or perception [Gulick]
9321 Higher-order models reduce the problem of consciousness to intentionality [Gulick]
9322 Maybe qualia only exist at the lower level, and a higher-level is needed for what-it-is-like [Gulick]
26. Natural Theory / A. Speculations on Nature / 1. Nature
454 If there are many things they must have a finite number, but there must be endless things between them [Zeno of Elea]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
455 That which moves, moves neither in the place in which it is, nor in that in which it is not [Zeno of Elea]
27. Natural Reality / C. Space / 5. Relational Space
1511 If everything is in a place, what is the place in? Place doesn't exist [Zeno of Elea, by Simplicius]
27. Natural Reality / G. Biology / 2. Life
9324 From the teleopragmatic perspective, life is largely an informational process [Gulick]