Combining Texts

All the ideas for 'In Defense of Essentialism', 'Mathematics and the Metaphysicians' and 'Philebus'

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38 ideas

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]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
To solve Zeno's paradox, reject the axiom that the whole has more terms than the parts [Russell]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematic we are ignorant of both subject-matter and truth [Russell]
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 / A. Nature of Mathematics / 5. The Infinite / b. Mark of the infinite
A collection is infinite if you can remove some terms without diminishing its number [Russell]
7. Existence / C. Structure of Existence / 8. Stuff / b. Mixtures
Any mixture which lacks measure and proportion doesn't even count as a mixture at all [Plato]
If a mixture does not contain measure and proportion, it is corrupted and destroyed [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 / A. Existence of Objects / 5. Individuation / e. Individuation by kind
'Substance theorists' take modal properties as primitive, without structure, just falling under a sortal [Paul,LA]
If an object's sort determines its properties, we need to ask what determines its sort [Paul,LA]
Substance essentialism says an object is multiple, as falling under various different sortals [Paul,LA]
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 / b. Sums of parts
Absolutely unrestricted qualitative composition would allow things with incompatible properties [Paul,LA]
9. Objects / D. Essence of Objects / 2. Types of Essence
Deep essentialist objects have intrinsic properties that fix their nature; the shallow version makes it contextual [Paul,LA]
9. Objects / D. Essence of Objects / 6. Essence as Unifier
Deep essentialists say essences constrain how things could change; modal profiles fix natures [Paul,LA]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Essentialism must deal with charges of arbitrariness, and failure to reduce de re modality [Paul,LA]
An object's modal properties don't determine its possibilities [Paul,LA]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
'Modal realists' believe in many concrete worlds, 'actualists' in just this world, 'ersatzists' in abstract other worlds [Paul,LA]
11. Knowledge Aims / B. Certain Knowledge / 1. Certainty
How can you be certain about aspects of the world if they aren't constant? [Plato]
12. Knowledge Sources / A. A Priori Knowledge / 2. Self-Evidence
Self-evidence is often a mere will-o'-the-wisp [Russell]
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]
It is unlikely that the gods feel either pleasure or pain [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]
The good must be sufficient and perfect, and neither intellect nor pleasure are that [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]