Combining Texts

All the ideas for 'The Birth of Tragedy', 'The Foundations of Mathematics' and 'Events'

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16 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
Philosophy begins in the horror and absurdity of existence [Nietzsche, by Ansell Pearson]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
7. Existence / B. Change in Existence / 4. Events / a. Nature of events
The events that suit semantics may not be the events that suit causation [Lewis]
Events have inbuilt essences, as necessary conditions for their occurrence [Lewis]
Events are classes, and so there is a mereology of their parts [Lewis]
Some events involve no change; they must, because causal histories involve unchanges [Lewis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
An event is a property of a unique space-time region [Lewis]
8. Modes of Existence / B. Properties / 10. Properties as Predicates
Properties are very abundant (unlike universals), and are used for semantics and higher-order variables [Lewis]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
26. Natural Theory / C. Causation / 1. Causation
Causation is a general relation derived from instances of causal dependence [Lewis]