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All the ideas for 'Topics', 'Frege on Apriority (with ps)' and 'Clarification and Defense of Grounding'

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49 ideas

1. Philosophy / F. Analytic Philosophy / 2. Analysis by Division
Begin examination with basics, and subdivide till you can go no further [Aristotle]
2. Reason / C. Styles of Reason / 1. Dialectic
Dialectic starts from generally accepted opinions [Aristotle]
2. Reason / D. Definition / 1. Definitions
There can't be one definition of two things, or two definitions of the same thing [Aristotle]
Definitions are easily destroyed, since they can contain very many assertions [Aristotle]
2. Reason / D. Definition / 5. Genus and Differentia
In definitions the first term to be assigned ought to be the genus [Aristotle]
We describe the essence of a particular thing by means of its differentiae [Aristotle]
The differentia indicate the qualities, but not the essence [Aristotle]
The genera and the differentiae are part of the essence [Aristotle]
Differentia are generic, and belong with genus [Aristotle]
'Genus' is part of the essence shared among several things [Aristotle]
2. Reason / D. Definition / 6. Definition by Essence
The definition is peculiar to one thing, not common to many [Aristotle]
5. Theory of Logic / L. Paradox / 2. Aporiai
Puzzles arise when reasoning seems equal on both sides [Aristotle]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Unit is the starting point of number [Aristotle]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Avoid 'in virtue of' for grounding, since it might imply a reflexive relation such as identity [Audi,P]
Ground relations depend on the properties [Audi,P]
A ball's being spherical non-causally determines its power to roll [Audi,P]
Ground is irreflexive, asymmetric, transitive, non-monotonic etc. [Audi,P]
The best critique of grounding says it is actually either identity or elimination [Audi,P]
7. Existence / C. Structure of Existence / 1. Grounding / b. Relata of grounding
Grounding is a singular relation between worldly facts [Audi,P]
If grounding relates facts, properties must be included, as well as objects [Audi,P]
7. Existence / C. Structure of Existence / 1. Grounding / c. Grounding and explanation
We must accept grounding, for our important explanations [Audi,P]
7. Existence / C. Structure of Existence / 1. Grounding / d. Grounding and reduction
Reduction is just identity, so the two things are the same fact, so reduction isn't grounding [Audi,P]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Worldly facts are obtaining states of affairs, with constituents; conceptual facts also depend on concepts [Audi,P]
7. Existence / E. Categories / 3. Proposed Categories
There are ten categories: essence, quantity, quality, relation, place, time, position, state, activity, passivity [Aristotle]
8. Modes of Existence / B. Properties / 1. Nature of Properties
An individual property has to exist (in past, present or future) [Aristotle]
8. Modes of Existence / B. Properties / 3. Types of Properties
An 'accident' is something which may possibly either belong or not belong to a thing [Aristotle]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
Genus gives the essence better than the differentiae do [Aristotle]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
In the case of a house the parts can exist without the whole, so parts are not the whole [Aristotle]
9. Objects / D. Essence of Objects / 3. Individual Essences
Everything that is has one single essence [Aristotle]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
An 'idion' belongs uniquely to a thing, but is not part of its essence [Aristotle]
9. Objects / E. Objects over Time / 11. End of an Object
Destruction is dissolution of essence [Aristotle]
9. Objects / E. Objects over Time / 12. Origin as Essential
If two things are the same, they must have the same source and origin [Aristotle]
9. Objects / F. Identity among Objects / 9. Sameness
'Same' is mainly for names or definitions, but also for propria, and for accidents [Aristotle]
Two identical things have the same accidents, they are the same; if the accidents differ, they're different [Aristotle]
Numerical sameness and generic sameness are not the same [Aristotle]
10. Modality / A. Necessity / 6. Logical Necessity
Reasoning is when some results follow necessarily from certain claims [Aristotle]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
14. Science / C. Induction / 1. Induction
Induction is the progress from particulars to universals [Aristotle]
14. Science / C. Induction / 3. Limits of Induction
We say 'so in cases of this kind', but how do you decide what is 'of this kind'? [Aristotle]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Two things being identical (like water and H2O) is not an explanation [Audi,P]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
There are plenty of examples of non-causal explanation [Audi,P]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Justice and self-control are better than courage, because they are always useful [Aristotle]
Friendship is preferable to money, since its excess is preferable [Aristotle]
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
We value friendship just for its own sake [Aristotle]
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Man is intrinsically a civilized animal [Aristotle]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
All water is the same, because of a certain similarity [Aristotle]
28. God / B. Proving God / 2. Proofs of Reason / b. Ontological Proof critique
'Being' and 'oneness' are predicated of everything which exists [Aristotle]