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All the ideas for 'fragments/reports', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'Laws of Nature'

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40 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]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
The Square of Opposition has two contradictory pairs, one contrary pair, and one sub-contrary pair [Harré]
5. Theory of Logic / G. Quantification / 1. Quantification
Traditional quantifiers combine ordinary language generality and ontology assumptions [Harré]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Some quantifiers, such as 'any', rule out any notion of order within their range [Harré]
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]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
Scientific properties are not observed qualities, but the dispositions which create them [Harré]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
10. Modality / A. Necessity / 7. Natural Necessity
Laws of nature remain the same through any conditions, if the underlying mechanisms are unchanged [Harré]
14. Science / A. Basis of Science / 1. Observation
In physical sciences particular observations are ordered, but in biology only the classes are ordered [Harré]
14. Science / A. Basis of Science / 3. Experiment
Reports of experiments eliminate the experimenter, and present results as the behaviour of nature [Harré]
14. Science / A. Basis of Science / 5. Anomalies
We can save laws from counter-instances by treating the latter as analytic definitions [Harré]
14. Science / B. Scientific Theories / 1. Scientific Theory
Since there are three different dimensions for generalising laws, no one system of logic can cover them [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / a. Grue problem
The grue problem shows that natural kinds are central to science [Harré]
'Grue' introduces a new causal hypothesis - that emeralds can change colour [Harré]
14. Science / C. Induction / 5. Paradoxes of Induction / b. Raven paradox
Non-black non-ravens just aren't part of the presuppositions of 'all ravens are black' [Harré]
It is because ravens are birds that their species and their colour might be connected [Harré]
14. Science / D. Explanation / 2. Types of Explanation / i. Explanations by mechanism
The necessity of Newton's First Law derives from the nature of material things, not from a mechanism [Harré]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
Idealisation idealises all of a thing's properties, but abstraction leaves some of them out [Harré]
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]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
26. Natural Theory / B. Natural Kinds / 1. Natural Kinds
Science rests on the principle that nature is a hierarchy of natural kinds [Harré]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Classification is just as important as laws in natural science [Harré]
Newton's First Law cannot be demonstrated experimentally, as that needs absence of external forces [Harré]
26. Natural Theory / D. Laws of Nature / 2. Types of Laws
Laws can come from data, from theory, from imagination and concepts, or from procedures [Harré]
Are laws of nature about events, or types and universals, or dispositions, or all three? [Harré]
Are laws about what has or might happen, or do they also cover all the possibilities? [Harré]
26. Natural Theory / D. Laws of Nature / 5. Laws from Universals
Maybe laws of nature are just relations between properties? [Harré]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
We take it that only necessary happenings could be laws [Harré]
Laws describe abstract idealisations, not the actual mess of nature [Harré]
Must laws of nature be universal, or could they be local? [Harré]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws
Laws of nature state necessary connections of things, events and properties, based on models of mechanisms [Harré]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
In counterfactuals we keep substances constant, and imagine new situations for them [Harré]