Combining Texts

All the ideas for 'The Gettier Problem', 'Philebus' and 'Mathematics is Megethology'

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37 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
It seems absurd that seeing a person's limbs, the one is many, and yet the many are one [Plato]
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 / A. Nature of Mathematics / 2. Geometry
It is absurd to define a circle, but not be able to recognise a real one [Plato]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Daily arithmetic counts unequal things, but pure arithmetic equalises them [Plato]
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]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
If a mixture does not contain measure and proportion, it is corrupted and destroyed [Plato]
Any mixture which lacks measure and proportion doesn't even count as a mixture at all [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
If the good is one, is it unchanged when it is in particulars, and is it then separated from itself? [Plato]
9. Objects / B. Unity of Objects / 1. Unifying an Object / c. Unity as conceptual
A thing can become one or many, depending on how we talk about it [Plato]
9. Objects / C. Structure of Objects / 5. Composition of an Object
If one object is divided into its parts, someone can then say that one are many and many is one [Plato]
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]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
How can you be certain about aspects of the world if they aren't constant? [Plato]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
If goodness involves moderation and proportion, then it seems to be found in beauty [Plato]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
The good involves beauty, proportion and truth [Plato]
Neither intellect nor pleasure are the good, because they are not perfect and self-sufficient [Plato]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Good first, then beauty, then reason, then knowledge, then pleasure [Plato, by PG]
22. Metaethics / C. The Good / 3. Pleasure / a. Nature of pleasure
Some of the pleasures and pains we feel are false [Plato]
22. Metaethics / C. The Good / 3. Pleasure / b. Types of pleasure
A small pure pleasure is much finer than a large one contaminated with pain [Plato]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Pleasure is certainly very pleasant, but it doesn't follow that all pleasures are good [Plato]
The good must be sufficient and perfect, and neither intellect nor pleasure are that [Plato]
Reason, memory, truth and wisdom are far better than pleasure, for those who can attain them [Plato]
Would you prefer a life of pleasure without reason, or one of reason without pleasure? [Plato]
It is unlikely that the gods feel either pleasure or pain [Plato]
22. Metaethics / C. The Good / 3. Pleasure / d. Sources of pleasure
We feel pleasure when we approach our natural state of harmony [Plato]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
Intense pleasure and pain are not felt in a good body, but in a worthless one [Plato]
23. Ethics / A. Egoism / 2. Hedonism
Hedonists must say that someone in pain is bad, even if they are virtuous [Plato]
If you lived a life of maximum pleasure, would you still be lacking anything? [Plato]
A life of pure pleasure with no intellect is the life of a jellyfish [Plato]