Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'Vagueness: a global approach' and 'The Particle Zoo'

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36 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 / A. Overview of Logic / 6. Classical Logic
Indeterminacy is in conflict with classical logic [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Classical semantics has referents for names, extensions for predicates, and T or F for sentences [Fine,K]
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 / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness
Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K]
Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K]
Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K]
7. Existence / D. Theories of Reality / 10. Vagueness / c. Vagueness as ignorance
Identifying vagueness with ignorance is the common mistake of confusing symptoms with cause [Fine,K]
7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness
Supervaluation can give no answer to 'who is the last bald man' [Fine,K]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
We do not have an intelligible concept of a borderline case [Fine,K]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
It seems absurd that there is no identity of any kind between two objects which involve survival [Fine,K]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K]
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 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]