Combining Texts

All the ideas for 'A Theory of Universals', 'The Theory of Knowledge' and 'Rechnungsmethoden (dissertation)'

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13 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
If what is actual might have been impossible, we need S4 modal logic [Armstrong, by Lewis]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical constants seem to be entities in propositions, but are actually pure form [Russell]
We use logical notions, so they must be objects - but I don't know what they really are [Russell]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths are known by their extreme generality [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]
7. Existence / D. Theories of Reality / 8. Facts / d. Negative facts
There can't be a negative of a complex, which is negated by its non-existence [Potter on Russell]
8. Modes of Existence / B. Properties / 1. Nature of Properties
Properties are universals, which are always instantiated [Armstrong, by Heil]
8. Modes of Existence / B. Properties / 6. Categorical Properties
Even if all properties are categorical, they may be denoted by dispositional predicates [Armstrong, by Bird]
8. Modes of Existence / D. Universals / 2. Need for Universals
Universals explain resemblance and causal power [Armstrong, by Oliver]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
It doesn't follow that because there is a predicate there must therefore exist a property [Armstrong]
9. Objects / F. Identity among Objects / 4. Type Identity
The type-token distinction is the universal-particular distinction [Armstrong, by Hodes]
9. Objects / F. Identity among Objects / 5. Self-Identity
A thing's self-identity can't be a universal, since we can know it a priori [Armstrong, by Oliver]