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All the ideas for 'Topics', 'How to be a Liberal' and 'Number Determiners, Numbers, Arithmetic'

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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
We describe the essence of a particular thing by means of its differentiae [Aristotle]
The differentia indicate the qualities, but not the essence [Aristotle]
In definitions the first term to be assigned ought to be the genus [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 / F. Referring in Logic / 1. Naming / d. Singular terms
An adjective contributes semantically to a noun phrase [Hofweber]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Quantifiers for domains and for inference come apart if there are no entities [Hofweber]
5. Theory of Logic / L. Paradox / 2. Aporiai
Puzzles arise when reasoning seems equal on both sides [Aristotle]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
'2 + 2 = 4' can be read as either singular or plural [Hofweber]
What is the relation of number words as singular-terms, adjectives/determiners, and symbols? [Hofweber]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Unit is the starting point of number [Aristotle]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Why is arithmetic hard to learn, but then becomes easy? [Hofweber]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Arithmetic is not about a domain of entities, as the quantifiers are purely inferential [Hofweber]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
Arithmetic doesn’t simply depend on objects, since it is true of fictional objects [Hofweber]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
We might eliminate adjectival numbers by analysing them into blocks of quantifiers [Hofweber]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
First-order logic captures the inferential relations of numbers, but not the semantics [Hofweber]
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]
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]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
Our minds are at their best when reasoning about objects [Hofweber]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Friendship is preferable to money, since its excess is preferable [Aristotle]
Justice and self-control are better than courage, because they are always useful [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]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / d. General will
In 1794 France all individual and legal rights were suppressed by the general will [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Over several centuries a set of eight main liberal values was established [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
No government, or the whole nation, can control an individual beyond legitimate scope [Dunt]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Laissez-faire liberalism failed to give people the protections and freedoms needed for a good life [Dunt]
24. Political Theory / D. Ideologies / 14. Nationalism
Nationalism pretends that we can only have a single identity [Dunt]
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]