Combining Texts

All the ideas for 'fragments/reports', 'The Limits of Abstraction' and 'Meno'

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25 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Spiritual qualities only become advantageous with the growth of wisdom [Plato]
2. Reason / D. Definition / 3. Types of Definition
Implicit definitions must be satisfiable, creative definitions introduce things, contextual definitions build on things [Fine,K, by Cook/Ebert]
'Creative definitions' do not presuppose the existence of the objects defined [Fine,K]
5. Theory of Logic / L. Paradox / 2. Aporiai
How can you seek knowledge of something if you don't know it? [Plato]
7. Existence / A. Nature of Existence / 4. Abstract Existence
Abstracts cannot be identified with sets [Fine,K]
Points in Euclidean space are abstract objects, but not introduced by abstraction [Fine,K]
Postulationism says avoid abstract objects by giving procedures that produce truth [Fine,K]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
True opinions only become really valuable when they are tied down by reasons [Plato]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
Seeking and learning are just recollection [Plato]
The slave boy learns geometry from questioning, not teaching, so it is recollection [Plato]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
As a guide to action, true opinion is as good as knowledge [Plato]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
You don't need to learn what you know, and how do you seek for what you don't know? [Plato]
18. Thought / E. Abstraction / 1. Abstract Thought
Fine's 'procedural postulationism' uses creative definitions, but avoids abstract ontology [Fine,K, by Cook/Ebert]
18. Thought / E. Abstraction / 2. Abstracta by Selection
Many different kinds of mathematical objects can be regarded as forms of abstraction [Fine,K]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
We can abstract from concepts (e.g. to number) and from objects (e.g. to direction) [Fine,K]
Fine considers abstraction as reconceptualization, to produce new senses by analysing given senses [Fine,K, by Cook/Ebert]
Abstractionism can be regarded as an alternative to set theory [Fine,K]
An object is the abstract of a concept with respect to a relation on concepts [Fine,K]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Is virtue taught, or achieved by practice, or a natural aptitude, or what? [Plato]
If virtue is a type of knowledge then it ought to be taught [Plato]
It seems that virtue is neither natural nor taught, but is a divine gift [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / j. Unity of virtue
How can you know part of virtue without knowing the whole? [Plato]
Even if virtues are many and various, they must have something in common to make them virtues [Plato]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]