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All the ideas for 'Habermas', 'New Scientist articles' and 'Philosophy of Mathematics'

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33 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Current physics says matter and antimatter should have reduced to light at the big bang [New Sci.]
CP violation shows a decay imbalance in matter and antimatter, leading to matter's dominance [New Sci.]
14. Science / A. Basis of Science / 4. Prediction
A system can infer the structure of the world by making predictions about it [New Sci.]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Neural networks can extract the car-ness of a car, or the chair-ness of a chair [New Sci.]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
No one has yet devised a rationality test [New Sci.]
18. Thought / A. Modes of Thought / 7. Intelligence
People can be highly intelligent, yet very stupid [New Sci.]
About a third of variation in human intelligence is environmental [New Sci.]
18. Thought / B. Mechanics of Thought / 1. Psychology
Psychologists measure personality along five dimensions [New Sci.]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
We don't condemn people for being bad at reasoning [Finlayson]
23. Ethics / D. Deontological Ethics / 3. Universalisability
One can universalise good advice, but that doesn't make it an obligation [Finlayson]
24. Political Theory / B. Nature of a State / 5. Culture
The 'culture industry' is an advertisement for the way things are [Finlayson]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / d. Entropy
Entropy is the only time-asymmetric law, so time may be linked to entropy [New Sci.]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
Light moves at a constant space-time speed, but its direction is in neither space nor time [New Sci.]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum states are measured by external time, of unknown origin [New Sci.]
The Schrödinger equation describes the evolution of an object's wave function in Hilbert space [New Sci.]
27. Natural Reality / B. Modern Physics / 5. Unified Models / b. String theory
String theory needs at least 10 space-time dimensions [New Sci.]
In string theory space-time has a grainy indivisible substructure [New Sci.]
It is impossible for find a model of actuality among the innumerable models in string theory [New Sci.]
27. Natural Reality / C. Space / 2. Space
Hilbert Space is an abstraction representing all possible states of a quantum system [New Sci.]
27. Natural Reality / C. Space / 6. Space-Time
Space-time may be a geometrical manifestation of quantum entanglement [New Sci.]
Einstein's merging of time with space has left us confused about the nature of time [New Sci.]
Relativity makes time and space jointly basic; quantum theory splits them, and prioritises time [New Sci.]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Quantum theory relies on a clock outside the system - but where is it located? [New Sci.]
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
Entropy is puzzling, so we may need to build new laws which include time directionality [New Sci.]
27. Natural Reality / E. Cosmology / 7. Black Holes
General relativity predicts black holes, as former massive stars, and as galaxy centres [New Sci.]
Black holes have entropy, but general relativity says they are unstructured, and lack entropy [New Sci.]
27. Natural Reality / E. Cosmology / 8. Dark Matter
84.5 percent of the universe is made of dark matter [New Sci.]
27. Natural Reality / F. Chemistry / 1. Chemistry
We are halfway to synthesising any molecule we want [New Sci.]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Chemistry just needs the periodic table, and protons, electrons and neutrinos [New Sci.]