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All the ideas for 'General Facts,Phys Necessity, and Metaph of Time', 'Chemistry' and 'Grundgesetze der Arithmetik 2 (Basic Laws)'

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24 ideas

2. Reason / D. Definition / 2. Aims of Definition
Later Frege held that definitions must fix a function's value for every possible argument [Frege, by Wright,C]
2. Reason / D. Definition / 7. Contextual Definition
We can't define a word by defining an expression containing it, as the remaining parts are a problem [Frege]
2. Reason / D. Definition / 11. Ostensive Definition
Only what is logically complex can be defined; what is simple must be pointed to [Frege]
3. Truth / B. Truthmakers / 3. Truthmaker Maximalism
The truth-maker principle is that every truth has a sufficient truth-maker [Forrest]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
Cardinals say how many, and reals give measurements compared to a unit quantity [Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
Real numbers are ratios of quantities [Frege, by Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
A number is a class of classes of the same cardinality [Frege, by Dummett]
Frege's biggest error is in not accounting for the senses of number terms [Hodes on Frege]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism misunderstands applications, metatheory, and infinity [Frege, by Dummett]
Only applicability raises arithmetic from a game to a science [Frege]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience is simply modally robust property co-variance [Hendry]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
Nuclear charge (plus laws) explains electron structure and spectrum, but not vice versa [Hendry]
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
The modern account of real numbers detaches a ratio from its geometrical origins [Frege]
18. Thought / E. Abstraction / 8. Abstractionism Critique
If we abstract the difference between two houses, they don't become the same house [Frege]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Maybe two kinds are the same if there is no change of entropy on isothermal mixing [Hendry]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
Maybe the nature of water is macroscopic, and not in the microstructure [Hendry]
The nature of an element must survive chemical change, so it is the nucleus, not the electrons [Hendry]
Maybe water is the smallest part of it that still counts as water (which is H2O molecules) [Hendry]
27. Natural Reality / F. Chemistry / 1. Chemistry
Compounds can differ with the same collection of atoms, so structure matters too [Hendry]
Water continuously changes, with new groupings of molecules [Hendry]
27. Natural Reality / F. Chemistry / 2. Modern Elements
Elements survive chemical change, and are tracked to explain direction and properties [Hendry]
Defining elements by atomic number allowed atoms of an element to have different masses [Hendry]
27. Natural Reality / F. Chemistry / 3. Periodic Table
Generally it is nuclear charge (not nuclear mass) which determines behaviour [Hendry]