Combining Texts

All the ideas for 'Mathematics without Numbers', 'Towards a Critique of Hegel's Philosophy' and 'Senses of Essence'

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17 ideas

1. Philosophy / C. History of Philosophy / 1. History of Philosophy
All philosophies presuppose their historical moment, and arise from it [Feuerbach]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
I don't study Plato for his own sake; the primary aim is always understanding [Feuerbach]
2. Reason / C. Styles of Reason / 1. Dialectic
Each proposition has an antithesis, and truth exists as its refutation [Feuerbach]
A dialectician has to be his own opponent [Feuerbach]
2. Reason / D. Definition / 6. Definition by Essence
The essence or definition of an essence involves either a class of properties or a class of propositions [Fine,K]
3. Truth / A. Truth Problems / 3. Value of Truth
Truth forges an impersonal unity between people [Feuerbach]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Logical concepts rest on certain inferences, not on facts about implications [Fine,K]
5. Theory of Logic / F. Referring in Logic / 3. Property (λ-) Abstraction
The property of Property Abstraction says any suitable condition must imply a property [Fine,K]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
A logical truth is true in virtue of the nature of the logical concepts [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
To our consciousness it is language which looks unreal [Feuerbach]
9. Objects / D. Essence of Objects / 1. Essences of Objects
Can the essence of an object circularly involve itself, or involve another object? [Fine,K]
9. Objects / D. Essence of Objects / 3. Individual Essences
Being a man is a consequence of his essence, not constitutive of it [Fine,K]
9. Objects / D. Essence of Objects / 4. Essence as Definition
If there are alternative definitions, then we have three possibilities for essence [Fine,K]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The Absolute is the 'and' which unites 'spirit and nature' [Feuerbach]