Combining Texts

All the ideas for 'Abstract of 'The Fourfold Root'', 'Mathematics is Megethology' and 'The Sovereignty of Good'

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32 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
An unexamined life can be virtuous [Murdoch]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / d. Philosophy as puzzles
Philosophy must keep returning to the beginning [Murdoch]
1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Philosophy moves continually between elaborate theories and the obvious facts [Murdoch]
2. Reason / B. Laws of Thought / 2. Sufficient Reason
'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
11. Knowledge Aims / A. Knowledge / 2. Understanding
All understanding is an immediate apprehension of the causal relation [Schopenhauer]
16. Persons / C. Self-Awareness / 2. Knowing the Self
What we know in ourselves is not a knower but a will [Schopenhauer]
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
Literature is the most important aspect of culture, because it teaches understanding of living [Murdoch]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Appreciating beauty in art or nature opens up the good life, by restricting selfishness [Murdoch]
22. Metaethics / B. Value / 2. Values / g. Love
Ordinary human love is good evidence of transcendent goodness [Murdoch]
Love is a central concept in morals [Murdoch]
23. Ethics / C. Virtue Theory / 1. Virtue Theory / c. Particularism
If I attend properly I will have no choices [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Art trains us in the love of virtue [Murdoch]
It is hard to learn goodness from others, because their virtues are part of their personal history [Murdoch]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
Moral reflection and experience gradually reveals unity in the moral world [Murdoch]
Only trivial virtues can be possessed on their own [Murdoch]
23. Ethics / F. Existentialism / 7. Existential Action
Only a philosopher might think choices create values [Murdoch]
Kantian existentialists care greatly for reasons for action, whereas Surrealists care nothing [Murdoch]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
Moral philosophy needs a central concept with all the traditional attributes of God [Murdoch]