Combining Texts

All the ideas for 'On the Question of Absolute Undecidability', 'The Barcan Formula and Metaphysics' and 'The Periodic Table'

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38 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
The Barcan Formulas express how to combine modal operators with classical quantifiers [Simchen]
The Barcan Formulas are orthodox, but clash with the attractive Actualist view [Simchen]
BF implies that if W possibly had a child, then something is possibly W's child [Simchen]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / d. Possible worlds actualism
Serious Actualism says there are no facts at all about something which doesn't exist [Simchen]
14. Science / A. Basis of Science / 4. Prediction
If a theory can be fudged, so can observations [Scerri]
14. Science / B. Scientific Theories / 4. Paradigm
The periodic system is the big counterexample to Kuhn's theory of revolutionary science [Scerri]
14. Science / D. Explanation / 1. Explanation / b. Aims of explanation
Scientists eventually seek underlying explanations for every pattern [Scerri]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
The periodic table suggests accommodation to facts rates above prediction [Scerri]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Natural kinds are what are differentiated by nature, and not just by us [Scerri]
If elements are natural kinds, might the groups of the periodic table also be natural kinds? [Scerri]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
The colour of gold is best explained by relativistic effects due to fast-moving inner-shell electrons [Scerri]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
The stability of nuclei can be estimated through their binding energy [Scerri]
If all elements are multiples of one (of hydrogen), that suggests once again that matter is unified [Scerri]
27. Natural Reality / F. Chemistry / 1. Chemistry
The electron is the main source of chemical properties [Scerri]
A big chemistry idea is that covalent bonds are shared electrons, not transfer of electrons [Scerri]
How can poisonous elements survive in the nutritious compound they compose? [Scerri]
Periodicity and bonding are the two big ideas in chemistry [Scerri]
Chemistry does not work from general principles, but by careful induction from large amounts of data [Scerri]
Does radioactivity show that only physics can explain chemistry? [Scerri]
27. Natural Reality / F. Chemistry / 2. Modern Elements
It is now thought that all the elements have literally evolved from hydrogen [Scerri]
19th C views said elements survived abstractly in compounds, but also as 'material ingredients' [Scerri]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Moseley, using X-rays, showed that atomic number ordered better than atomic weight [Scerri]
Some suggested basing the new periodic table on isotopes, not elements [Scerri]
Elements are placed in the table by the number of positive charges - the atomic number [Scerri]
Elements in the table are grouped by having the same number of outer-shell electrons [Scerri]
Orthodoxy says the periodic table is explained by quantum mechanics [Scerri]
Pauli explained the electron shells, but not the lengths of the periods in the table [Scerri]
Moseley showed the elements progress in units, and thereby clearly identified the gaps [Scerri]
Elements were ordered by equivalent weight; later by atomic weight; finally by atomic number [Scerri]
The best classification needs the deepest and most general principles of the atoms [Scerri]
To explain the table, quantum mechanics still needs to explain order of shell filling [Scerri]
Since 99.96% of the universe is hydrogen and helium, the periodic table hardly matters [Scerri]