Combining Texts

All the ideas for 'Individuals without Sortals', 'Grundgesetze der Arithmetik 2 (Basic Laws)' and 'The Anti-Christ'

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39 ideas

1. Philosophy / B. History of Ideas / 2. Ancient Thought
All intelligent Romans were Epicureans [Nietzsche]
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 / A. Truth Problems / 3. Value of Truth
Truth has had to be fought for, and normal life must be sacrificed to achieve it [Nietzsche]
One must never ask whether truth is useful [Nietzsche]
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 / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Counting 'coin in this box' may have coin as the unit, with 'in this box' merely as the scope [Ayers]
If counting needs a sortal, what of things which fall under two sortals? [Ayers]
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 / B. Change in Existence / 4. Events / a. Nature of events
Events do not have natural boundaries, and we have to set them [Ayers]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
To express borderline cases of objects, you need the concept of an 'object' [Ayers]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Speakers need the very general category of a thing, if they are to think about it [Ayers]
We use sortals to classify physical objects by the nature and origin of their unity [Ayers]
Seeing caterpillar and moth as the same needs continuity, not identity of sortal concepts [Ayers]
Recognising continuity is separate from sortals, and must precede their use [Ayers]
9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification
Could the same matter have more than one form or principle of unity? [Ayers]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
If there are two objects, then 'that marble, man-shaped object' is ambiguous [Ayers]
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 / 5. Essence as Kind
Sortals basically apply to individuals [Ayers]
9. Objects / E. Objects over Time / 5. Temporal Parts
You can't have the concept of a 'stage' if you lack the concept of an object [Ayers]
Temporal 'parts' cannot be separated or rearranged [Ayers]
9. Objects / F. Identity among Objects / 1. Concept of Identity
Some say a 'covering concept' completes identity; others place the concept in the reference [Ayers]
9. Objects / F. Identity among Objects / 3. Relative Identity
If diachronic identities need covering concepts, why not synchronic identities too? [Ayers]
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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
Philosophy grasps the limits of human reason, and values are beyond it [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Christianity is at war with the higher type of man, and excommunicates his basic instincts [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Virtues must be highly personal; if not, it is merely respect for a concept [Nietzsche]
23. Ethics / D. Deontological Ethics / 1. Deontology
Each person should devise his own virtues and categorical imperative [Nietzsche]
28. God / A. Divine Nature / 4. Divine Contradictions
A God who cures us of a head cold at the right moment is a total absurdity [Nietzsche]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Christianity is a revolt of things crawling on the ground against elevated things [Nietzsche]
29. Religion / B. Monotheistic Religion / 5. Bible
The story in Genesis is the story of God's fear of science [Nietzsche]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
'Faith' means not wanting to know what is true [Nietzsche]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The great lie of immortality destroys rationality and natural instinct [Nietzsche]