Combining Texts

All the ideas for 'Plurals and Complexes', 'Unpublished Notebooks 1885-86' and 'Schopenhauer'

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55 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Different abilities are needed for living in an incomplete and undogmatic system [Nietzsche]
1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
Bad writers use shapeless floating splotches of concepts [Nietzsche]
1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
A text has many interpretations, but no 'correct' one [Nietzsche]
3. Truth / A. Truth Problems / 3. Value of Truth
What is the search for truth if it isn't moral? [Nietzsche]
Like all philosophers, I love truth [Nietzsche]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice is a non-logical principle of set-theory [Hossack]
The Axiom of Choice guarantees a one-one correspondence from sets to ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Maybe we reduce sets to ordinals, rather than the other way round [Hossack]
4. Formal Logic / G. Formal Mereology / 3. Axioms of Mereology
Extensional mereology needs two definitions and two axioms [Hossack]
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic is a fiction, which invents the view that one thought causes another [Nietzsche]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Numbers enable us to manage the world - to the limits of counting [Nietzsche]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
The theory of the transfinite needs the ordinal numbers [Hossack]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
I take the real numbers to be just lengths [Hossack]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
A plural language gives a single comprehensive induction axiom for arithmetic [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
In arithmetic singularists need sets as the instantiator of numeric properties [Hossack]
Set theory is the science of infinity [Hossack]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Events are just interpretations of groups of appearances [Nietzsche]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We are committed to a 'group' of children, if they are sitting in a circle [Hossack]
9. Objects / C. Structure of Objects / 5. Composition of an Object
Complex particulars are either masses, or composites, or sets [Hossack]
The relation of composition is indispensable to the part-whole relation for individuals [Hossack]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Leibniz's Law argues against atomism - water is wet, unlike water molecules [Hossack]
The fusion of five rectangles can decompose into more than five parts that are rectangles [Hossack]
11. Knowledge Aims / B. Certain Knowledge / 5. Cogito Critique
The 'I' does not think; it is a construction of thinking, like other useful abstractions [Nietzsche]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
Appearance is the sole reality of things, to which all predicates refer [Nietzsche]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Fichte, Schelling and Hegel rejected transcendental idealism [Lewis,PB]
Fichte, Hegel and Schelling developed versions of Absolute Idealism [Lewis,PB]
12. Knowledge Sources / E. Direct Knowledge / 4. Memory
Memory is essential, and is only possible by means of abbreviation signs [Nietzsche]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Schematic minds think thoughts are truer if they slot into a scheme [Nietzsche]
13. Knowledge Criteria / E. Relativism / 1. Relativism
Each of our personal drives has its own perspective [Nietzsche]
15. Nature of Minds / A. Nature of Mind / 1. Mind / b. Purpose of mind
The mind is a simplifying apparatus [Nietzsche]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / f. Higher-order thought
Consciousness is our awareness of our own mental life [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
Minds have an excluding drive to scare things off, and a selecting one to filter facts [Nietzsche]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
The greatest drive of life is to discharge strength, rather than preservation [Nietzsche]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
That all events are necessary does not mean they are compelled [Nietzsche]
18. Thought / A. Modes of Thought / 1. Thought
A thought can refer to many things, but only predicate a universal and affirm a state of affairs [Hossack]
18. Thought / D. Concepts / 1. Concepts / a. Nature of concepts
Concepts are rough groups of simultaneous sensations [Nietzsche]
Concepts don’t match one thing, but many things a little bit [Nietzsche]
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
Whatever their origin, concepts survive by being useful [Nietzsche]
19. Language / D. Propositions / 1. Propositions
Thought starts as ambiguity, in need of interpretation and narrowing [Nietzsche]
21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics
Aesthetics can be more basic than morality, in our pleasure in certain patterns of experience [Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
Caesar and Napoleon point to the future, when they pursue their task regardless of human sacrifice [Nietzsche]
Napoleon was very focused, and rightly ignored compassion [Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
For the strongest people, nihilism gives you wings! [Nietzsche]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The great question is approaching, of how to govern the earth as a whole [Nietzsche]
24. Political Theory / C. Ruling a State / 2. Leaders / d. Elites
The controlling morality of aristocracy is the desire to resemble their ancestors [Nietzsche]
24. Political Theory / D. Ideologies / 14. Nationalism
People feel united as a nation by one language, but then want a common ancestry and history [Nietzsche]
25. Social Practice / C. Rights / 4. Property rights
To be someone you need property, and wanting more is healthy [Nietzsche]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
Laws of nature are actually formulas of power relations [Nietzsche]
27. Natural Reality / C. Space / 2. Space
We could ignore space, and just talk of the shape of matter [Hossack]
27. Natural Reality / F. Chemistry / 1. Chemistry
In chemistry every substance pushes, and thus creates new substances [Nietzsche]