Combining Texts

All the ideas for 'works', 'The Art of the Infinite' and 'The Particle Zoo'

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27 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin]
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
Spinning electric charge produces magnetism, so all fermions are magnets [Hesketh]
Photons are B and W° bosons, linked by the Higgs mechanism [Hesketh]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
Electrons may have smaller components, bound by a new force [Hesketh]
Electrons are fundamental and are not made of anything; they are properties without size [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]