Combining Texts

All the ideas for 'Grundgesetze der Arithmetik 2 (Basic Laws)', 'Straw Dogs' and 'Nonexistent Objects'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Human knowledge may not produce well-being; the examined life may not be worth living [Gray]
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]
9. Objects / A. Existence of Objects / 4. Impossible objects
There is an object for every set of properties (some of which exist, and others don't) [Parsons,T, by Sawyer]
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
The first demand of logic is of a sharp boundary [Frege]
13. Knowledge Criteria / C. External Justification / 9. Naturalised Epistemology
Knowledge does not need minds or nervous systems; it is found in all living things [Gray]
16. Persons / F. Free Will / 5. Against Free Will
The will hardly ever does anything; most of our life just happens to us [Gray]
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]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Nowadays we identify the free life with the good life [Gray]
27. Natural Reality / G. Biology / 4. Ecology
Over forty percent of the Earth's living tissue is human [Gray]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Without Christianity we lose the idea that human history has a meaning [Gray]
What was our original sin, and how could Christ's suffering redeem it? [Gray]