Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Particle Zoo' and 'How the Laws of Physics Lie'

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43 ideas

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]
7. Existence / E. Categories / 4. Category Realism
Causality indicates which properties are real [Cartwright,N]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Two main types of explanation are by causes, or by citing a theoretical framework [Cartwright,N]
14. Science / D. Explanation / 2. Types of Explanation / c. Explanations by coherence
An explanation is a model that fits a theory and predicts the phenomenological laws [Cartwright,N]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
The covering law view assumes that each phenomenon has a 'right' explanation [Cartwright,N]
Laws get the facts wrong, and explanation rests on improvements and qualifications of laws [Cartwright,N]
Laws apply to separate domains, but real explanations apply to intersecting domains [Cartwright,N]
Covering-law explanation lets us explain storms by falling barometers [Cartwright,N]
I disagree with the covering-law view that there is a law to cover every single case [Cartwright,N]
You can't explain one quail's behaviour by just saying that all quails do it [Cartwright,N]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
In science, best explanations have regularly turned out to be false [Cartwright,N]
26. Natural Theory / C. Causation / 8. Particular Causation / e. Probabilistic causation
A cause won't increase the effect frequency if other causes keep interfering [Cartwright,N]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
There are fundamental explanatory laws (false!), and phenomenological laws (regularities) [Cartwright,N, by Bird]
Laws of appearances are 'phenomenological'; laws of reality are 'theoretical' [Cartwright,N]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Good organisation may not be true, and the truth may not organise very much [Cartwright,N]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
There are few laws for when one theory meets another [Cartwright,N]
To get from facts to equations, we need a prepared descriptions suited to mathematics [Cartwright,N]
Simple laws have quite different outcomes when they act in combinations [Cartwright,N]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
Relativity and Quantum theory give very different accounts of forces [Hesketh]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
Thermodynamics introduced work and entropy, to understand steam engine efficiency [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
Photons are B and W° bosons, linked by the Higgs mechanism [Hesketh]
Spinning electric charge produces magnetism, so all fermions are magnets [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons are fundamental and are not made of anything; they are properties without size [Hesketh]
Electrons may have smaller components, bound by a new force [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
Quantum mechanics is our only theory, and is very precise, and repeatedly confirmed [Hesketh]
Physics was rewritten to explain stable electron orbits [Hesketh]
Virtual particles can't be measured, and can ignore the laws of physics [Hesketh]
27. Natural Reality / B. Modern Physics / 3. Chromodynamics / a. Chromodynamics
Colour charge is positive or negative, and also has red, green or blue direction [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / b. Standard model
The Standard Model omits gravity, because there are no particles involved [Hesketh]
In Supersymmetry the Standard Model simplifies at high energies [Hesketh]
Standard Model forces are one- two- and three-dimensional [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / c. Particle properties
Quarks and leptons have a weak charge, for the weak force [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / e. Protons
Quarks rush wildly around in protons, restrained by the gluons [Hesketh]
27. Natural Reality / B. Modern Physics / 4. Standard Model / f. Neutrinos
Neutrinos only interact with the weak force, but decays produce them in huge numbers [Hesketh]
27. Natural Reality / B. Modern Physics / 5. Unified Models / c. Supersymmetry
To combine the forces, they must all be the same strength at some point [Hesketh]
27. Natural Reality / C. Space / 5. Relational Space
'Space' in physics just means location [Hesketh]
27. Natural Reality / E. Cosmology / 8. Dark Matter
The universe is 68% dark energy, 27% dark matter, 5% regular matter [Hesketh]
27. Natural Reality / E. Cosmology / 9. Fine-Tuned Universe
If a cosmic theory relies a great deal on fine-tuning basic values, it is probably wrong [Hesketh]