Combining Texts

All the ideas for 'works', 'Process and Reality' and 'Set Theory and Its Philosophy'

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45 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / c. Classical philosophy
European philosophy consists of a series of footnotes to Plato [Whitehead]
1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Nietzsche thinks philosophy makes us more profound, but not better [Nietzsche, by Ansell Pearson]
1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
How many mediocre thinkers are occupied with influential problems! [Nietzsche]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Nietzsche has a metaphysics, as well as perspectives - the ontology is the perspectives [Nietzsche, by Richardson]
2. Reason / A. Nature of Reason / 7. Status of Reason
Reason is just another organic drive, developing late, and fighting for equality [Nietzsche]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Set theory's three roles: taming the infinite, subject-matter of mathematics, and modes of reasoning [Potter]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
Usually the only reason given for accepting the empty set is convenience [Potter]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: There is at least one limit level [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
Nowadays we derive our conception of collections from the dependence between them [Potter]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
The 'limitation of size' principles say whether properties collectivise depends on the number of objects [Potter]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology elides the distinction between the cards in a pack and the suits [Potter]
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
We can formalize second-order formation rules, but not inference rules [Potter]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
With 'extensive connection', boundary elements are not included in domains [Whitehead, by Varzi]
5. Theory of Logic / H. Proof Systems / 3. Proof from Assumptions
Supposing axioms (rather than accepting them) give truths, but they are conditional [Potter]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
If set theory didn't found mathematics, it is still needed to count infinite sets [Potter]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
It is remarkable that all natural number arithmetic derives from just the Peano Axioms [Potter]
7. Existence / B. Change in Existence / 2. Processes
In Whitehead 'processes' consist of events beginning and ending [Whitehead, by Simons]
7. Existence / D. Theories of Reality / 5. Naturalism
First see nature as non-human, then fit ourselves into this view of nature [Nietzsche]
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A relation is a set consisting entirely of ordered pairs [Potter]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
Storms are wonderful expressions of free powers! [Nietzsche]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
If dependence is well-founded, with no infinite backward chains, this implies substances [Potter]
9. Objects / C. Structure of Objects / 8. Parts of Objects / b. Sums of parts
Collections have fixed members, but fusions can be carved in innumerable ways [Potter]
9. Objects / D. Essence of Objects / 3. Individual Essences
We begin with concepts of kinds, from individuals; but that is not the essence of individuals [Nietzsche]
10. Modality / A. Necessity / 1. Types of Modality
Priority is a modality, arising from collections and members [Potter]
20. Action / A. Definition of Action / 1. Action Theory
Nietzsche classified actions by the nature of the agent, not the nature of the act [Nietzsche, by Foot]
20. Action / C. Motives for Action / 4. Responsibility for Actions
Nietzsche failed to see that moral actions can be voluntary without free will [Foot on Nietzsche]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Each person has a fixed constitution, which makes them a particular type of person [Nietzsche, by Leiter]
Nietzsche could only revalue human values for a different species [Nietzsche, by Foot]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The superman is a monstrous oddity, not a serious idea [MacIntyre on Nietzsche]
Nietzsche's higher type of man is much more important than the idealised 'superman' [Nietzsche, by Leiter]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
The 'will to power' is basically applied to drives and forces, not to people [Nietzsche, by Richardson]
22. Metaethics / B. Value / 2. Values / g. Love
Friendly chats undermine my philosophy; wanting to be right at the expense of love is folly [Nietzsche]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
Moral generalisation is wrong, because we should evaluate individual acts [Nietzsche, by Foot]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / d. Virtue theory critique
Nietzsche thought our psychology means there can't be universal human virtues [Nietzsche, by Foot]
23. Ethics / F. Existentialism / 1. Existentialism
Nietzsche tried to lead a thought-provoking life [Safranski on Nietzsche]
23. Ethics / F. Existentialism / 2. Nihilism
Initially nihilism was cosmic, but later Nietzsche saw it as a cultural matter [Nietzsche, by Ansell Pearson]
Nietzsche urges that nihilism be active, and will nothing itself [Nietzsche, by Zizek]
23. Ethics / F. Existentialism / 4. Boredom
Flight from boredom leads to art [Nietzsche]
23. Ethics / F. Existentialism / 7. Existential Action
Nietzsche was fascinated by a will that can turn against itself [Nietzsche, by Safranski]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Reliving life countless times - this gives the value back to life which religion took away [Nietzsche]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
Individual development is more important than the state, but a community is necessary [Nietzsche]
24. Political Theory / B. Nature of a State / 4. Citizenship
Nietzsche thinks we should join a society, in order to criticise, heal and renew it [Nietzsche, by Richardson]
24. Political Theory / B. Nature of a State / 5. Culture
Every culture loses its identity and power if it lacks a major myth [Nietzsche]
26. Natural Theory / C. Causation / 1. Causation
Whitehead held that perception was a necessary feature of all causation [Whitehead, by Harré/Madden]
27. Natural Reality / C. Space / 3. Points in Space
Whitehead replaced points with extended regions [Whitehead, by Quine]