Combining Texts

All the ideas for 'Mathematics is Megethology', 'The Poverty of Philosophy' and 'Existentialism and Humanism'

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28 ideas

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 plays the role of last resort, for class abstracts and for existence [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [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]
16. Persons / A. Concept of a Person / 4. Persons as Agents
Man is nothing else but the sum of his actions [Sartre]
16. Persons / F. Free Will / 1. Nature of Free Will
Man IS freedom [Sartre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
There is no human nature [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
There are no values to justify us, and no excuses [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
If values depend on us, freedom is the foundation of all values [Sartre]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
In becoming what we want to be we create what we think man ought to be [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
Cowards are responsible for their cowardice [Sartre]
23. Ethics / D. Deontological Ethics / 3. Universalisability
When my personal freedom becomes involved, I must want freedom for everyone else [Sartre]
23. Ethics / F. Existentialism / 1. Existentialism
Existentialists says that cowards and heroes make themselves [Sartre]
23. Ethics / F. Existentialism / 5. Existence-Essence
Existence before essence (or begin with the subjective) [Sartre]
'Existence precedes essence' means we have no pre-existing self, but create it through existence [Sartre, by Le Poidevin]
23. Ethics / F. Existentialism / 6. Authentic Self
Existentialism says man is whatever he makes of himself [Sartre]
It is dishonest to offer passions as an excuse [Sartre]
23. Ethics / F. Existentialism / 7. Existential Action
When a man must choose between his mother and the Resistance, no theory can help [Sartre, by Fogelin]
If I do not choose, that is still a choice [Sartre]
24. Political Theory / D. Ideologies / 11. Capitalism
The handmill gives feudalism, the steam mill capitalism [Marx]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
Without God there is no intelligibility or value [Sartre]