Combining Texts

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

expand these ideas     |    start again     |     specify just one area for these texts


30 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]
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 / E. Categories / 1. Categories
All descriptive language is classificatory [Dupré]
7. Existence / E. Categories / 2. Categorisation
We should aim for a classification which tells us as much as possible about the object [Dupré]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
Natural kinds don't need essentialism to be explanatory [Dupré]
9. Objects / D. Essence of Objects / 10. Essence as Species
A species might have its essential genetic mechanism replaced by a new one [Dupré]
It seems that species lack essential properties, so they can't be natural kinds [Dupré]
14. Science / A. Basis of Science / 4. Prediction
The possibility of prediction rests on determinism [Dupré]
18. Thought / C. Content / 5. Twin Earth
Presumably molecular structure seems important because we never have the Twin Earth experience [Dupré]
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
Phylogenetics involves history, and cladism rests species on splits in lineage [Dupré]
Kinds don't do anything (including evolve) because they are abstract [Dupré]
26. Natural Theory / B. Natural Kinds / 7. Critique of Kinds
Natural kinds are decided entirely by the intentions of our classification [Dupré]
Borders between species are much less clear in vegetables than among animals [Dupré]
Even atoms of an element differ, in the energy levels of their electrons [Dupré]
Ecologists favour classifying by niche, even though that can clash with genealogy [Dupré]
Cooks, unlike scientists, distinguish garlic from onions [Dupré]
Wales may count as fish [Dupré]
27. Natural Reality / G. Biology / 5. Species
Species are the lowest-level classification in biology [Dupré]
The theory of evolution is mainly about species [Dupré]