Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Chemistry' and 'Model Theory'

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20 ideas

2. Reason / D. Definition / 7. Contextual Definition
The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Since first-order languages are complete, |= and |- have the same meaning [Hodges,W]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
|= in model-theory means 'logical consequence' - it holds in all models [Hodges,W]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
|= should be read as 'is a model for' or 'satisfies' [Hodges,W]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Model theory studies formal or natural language-interpretation using set-theory [Hodges,W]
A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W]
Models in model theory are structures, not sets of descriptions [Hodges,W]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
First-order logic can't discriminate between one infinite cardinal and another [Hodges,W]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Supervenience is simply modally robust property co-variance [Hendry]
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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
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]