Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Being You' and 'On the Heavens'

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25 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
A very hungry man cannot choose between equidistant piles of food [Aristotle]
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]
15. Nature of Minds / A. Nature of Mind / 8. Brain
Single neurons can carry out complex functions [Seth]
The cerbellum has a huge number of neurons, but little involvement in consciousness [Seth]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / e. Cause of consciousness
Maybe a system is conscious if the whole generates more information than its parts [Seth]
16. Persons / C. Self-Awareness / 2. Knowing the Self
The self is embodied, perspectival, volitional, narrative and social [Seth, by PG]
18. Thought / B. Mechanics of Thought / 6. Artificial Thought / a. Artificial Intelligence
Modern AI is mostly machine-based pattern recognition [Seth]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Volition is felt as doing what you want, with possible alternatives, and a source from within [Seth]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
Human exceptionalism plagues biology, and most other human thinking [Seth]
22. Metaethics / B. Value / 2. Values / b. Successful function
Each thing that has a function is for the sake of that function [Aristotle]
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
An unworn sandal is in vain, but nothing in nature is in vain [Aristotle]
There has to be some goal, and not just movement to infinity [Aristotle]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Aether moves in circles and is imperishable; the four elements perish, and move in straight lines [Aristotle, by Gill,ML]
An element is what bodies are analysed into, and won't itself divide into something else [Aristotle]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
If the more you raise some earth the faster it moves, why does the whole earth not move? [Aristotle]
27. Natural Reality / C. Space / 1. Void
Void is a kind of place, so it can't explain place [Aristotle]
27. Natural Reality / E. Cosmology / 1. Cosmology
The earth must be round and of limited size, because moving north or south makes different stars visible [Aristotle]
The Earth must be spherical, because it casts a convex shadow on the moon [Aristotle]
27. Natural Reality / E. Cosmology / 3. The Beginning
Everyone agrees that the world had a beginning, but thinkers disagree over whether it will end [Aristotle]
27. Natural Reality / E. Cosmology / 10. Multiverse
It seems possible that there exists a limited number of other worlds apart from this one [Aristotle]