Combining Texts

All the ideas for 'fragments/reports', 'Mathematics is Megethology' and 'Ecce Homo'

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21 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
A warlike philosopher challenges problems to single combat [Nietzsche]
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]
22. Metaethics / B. Value / 2. Values / i. Self-interest
The distinction between egoistic and non-egoistic acts is absurd [Nietzsche]
22. Metaethics / C. The Good / 1. Goodness / i. Moral luck
A bad result distorts one's judgement about the virtue of what one has done [Nietzsche]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
The overcoming of pity I count among the noble virtues [Nietzsche]
23. Ethics / F. Existentialism / 6. Authentic Self
To become what you are you must have no self-awareness [Nietzsche]
23. Ethics / F. Existentialism / 8. Eternal Recurrence
Eternal recurrence is the highest attainable affirmation [Nietzsche]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
25. Social Practice / E. Policies / 5. Education / c. Teaching
One repays a teacher badly if one remains only a pupil [Nietzsche]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
28. God / C. Attitudes to God / 5. Atheism
I am not an atheist because of reasoning or evidence, but because of instinct [Nietzsche]