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All the ideas for 'What is Logic?st1=Ian Hacking', 'The Periodic Table' and 'Letter to Herodotus'

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64 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
If we are to use words in enquiry, we need their main, unambiguous and uncontested meanings [Epicurus]
2. Reason / D. Definition / 3. Types of Definition
A decent modern definition should always imply a semantics [Hacking]
3. Truth / A. Truth Problems / 8. Subjective Truth
Observation and applied thought are always true [Epicurus]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / d. Basic theorems of PL
'Thinning' ('dilution') is the key difference between deduction (which allows it) and induction [Hacking]
Gentzen's Cut Rule (or transitivity of deduction) is 'If A |- B and B |- C, then A |- C' [Hacking]
Only Cut reduces complexity, so logic is constructive without it, and it can be dispensed with [Hacking]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
The various logics are abstractions made from terms like 'if...then' in English [Hacking]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
First-order logic is the strongest complete compact theory with Löwenheim-Skolem [Hacking]
A limitation of first-order logic is that it cannot handle branching quantifiers [Hacking]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Second-order completeness seems to need intensional entities and possible worlds [Hacking]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
With a pure notion of truth and consequence, the meanings of connectives are fixed syntactically [Hacking]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
Perhaps variables could be dispensed with, by arrows joining places in the scope of quantifiers [Hacking]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If it is a logic, the Löwenheim-Skolem theorem holds for it [Hacking]
7. Existence / A. Nature of Existence / 1. Nature of Existence
Nothing comes to be from what doesn't exist [Epicurus]
If disappearing things went to nothingness, nothing could return, and it would all be gone by now [Epicurus]
7. Existence / B. Change in Existence / 1. Nature of Change
The totality is complete, so there is no room for it to change, and nothing extraneous to change it [Epicurus]
7. Existence / D. Theories of Reality / 6. Physicalism
Astronomical movements are blessed, but they don't need the help of the gods [Epicurus]
8. Modes of Existence / B. Properties / 8. Properties as Modes
The perceived accidental properties of bodies cannot be conceived of as independent natures [Epicurus]
Accidental properties give a body its nature, but are not themselves bodies or parts of bodies [Epicurus]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
A 'body' is a conception of an aggregate, with properties defined by application conditions [Epicurus]
9. Objects / D. Essence of Objects / 9. Essence and Properties
Bodies have impermanent properties, and permanent ones which define its conceived nature [Epicurus]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Above and below us will never appear to be the same, because it is inconceivable [Epicurus]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
We aim to dissolve our fears, by understanding their causes [Epicurus]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / c. Primary qualities
Atoms only have shape, weight and size, and the properties which accompany shape [Epicurus]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
Illusions are not false perceptions, as we accurately perceive the pattern of atoms [Epicurus, by Modrak]
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]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
The soul is fine parts distributed through the body, resembling hot breath [Epicurus]
17. Mind and Body / E. Mind as Physical / 5. Causal Argument
The soul cannot be incorporeal, because then it could neither act nor be acted upon [Epicurus]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Totality has no edge; an edge implies a contrast beyond the edge, and there can't be one [Epicurus]
Bodies are unlimited as well as void, since the two necessarily go together [Epicurus]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / g. Atomism
There exists an infinity of each shape of atom, but the number of shapes is beyond our knowledge [Epicurus]
Atoms just have shape, size and weight; colour results from their arrangement [Epicurus]
There cannot be unlimited division, because it would reduce things to non-existence [Epicurus]
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
We aim to know the natures which are observed in natural phenomena [Epicurus]
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 / C. Space / 1. Void
The void cannot interact, but just gives the possibility of motion [Epicurus]
27. Natural Reality / C. Space / 4. Substantival Space
Space must exist, since movement is obvious, and there must be somewhere to move in [Epicurus]
27. Natural Reality / E. Cosmology / 10. Multiverse
There are endless cosmoi, some like and some unlike this one [Epicurus]
27. Natural Reality / F. Chemistry / 1. Chemistry
Does radioactivity show that only physics can explain chemistry? [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]
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]
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]
Since 99.96% of the universe is hydrogen and helium, the periodic table hardly matters [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]