Combining Texts

All the ideas for 'The Periodic Table', 'Boole calculus and the Concept script' and 'Mathematics is Megethology'

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40 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
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]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
We don't judge by combining subject and concept; we get a concept by splitting up a judgement [Frege]
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]
Since 99.96% of the universe is hydrogen and helium, the periodic table hardly matters [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]