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All the ideas for 'Philebus', 'talk' and 'Nominalism and Substitutional Quantifiers'

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39 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 / A. Overview of Logic / 7. Second-Order Logic
The nominalist is tied by standard semantics to first-order, denying higher-order abstracta [Marcus (Barcan)]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
Nominalists see proper names as a main vehicle of reference [Marcus (Barcan)]
Anything which refers tends to be called a 'name', even if it isn't a noun [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 1. Quantification
Nominalists should quantify existentially at first-order, and substitutionally when higher [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers are needed to refer to infinitely many objects [Marcus (Barcan)]
Substitutional semantics has no domain of objects, but place-markers for substitutions [Marcus (Barcan)]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Maybe a substitutional semantics for quantification lends itself to nominalism [Marcus (Barcan)]
A true universal sentence might be substitutionally refuted, by an unnamed denumerable object [Marcus (Barcan)]
Substitutional language has no ontology, and is just a way of speaking [Marcus (Barcan)]
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]
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Is being just referent of the verb 'to be'? [Marcus (Barcan)]
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]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Nominalists say predication is relations between individuals, or deny that it refers [Marcus (Barcan)]
9. Objects / A. Existence of Objects / 3. Objects in Thought
If objects are thoughts, aren't we back to psychologism? [Marcus (Barcan)]
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 / F. Identity among Objects / 2. Defining Identity
Substitutivity won't fix identity, because expressions may be substitutable, but not refer at all [Marcus (Barcan)]
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 / c. Knowledge closure
Sphaerus he was not assenting to the presence of pomegranates, but that it was 'reasonable' [Sphaerus, by Diog. Laertius]
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]
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]
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]
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
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]
Hedonists must say that someone in pain is bad, even if they are virtuous [Plato]