Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'The Concept of Dread (/Anxiety)' and 'On Multiplying Entities'

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10 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
The quest for simplicity drove scientists to posit new entities, such as molecules in gases [Quine]
In arithmetic, ratios, negatives, irrationals and imaginaries were created in order to generalise [Quine]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
Explaining events just by bodies can't explain two events identical in space-time [Quine]
10. Modality / A. Necessity / 11. Denial of Necessity
Necessity could be just generalisation over classes, or (maybe) quantifying over possibilia [Quine]
20. Action / B. Preliminaries of Action / 2. Willed Action / d. Weakness of will
Socrates neglects the gap between knowing what is good and doing good [Kierkegaard, by Carlisle]
23. Ethics / F. Existentialism / 3. Angst
Anxiety is not a passing mood, but a response to human freedom [Kierkegaard, by Carlisle]
The ultimate in life is learning to be anxious in the right way [Kierkegaard]
Ultimate knowledge is being anxious in the right way [Kierkegaard]
Anxiety is staring into the yawning abyss of freedom [Kierkegaard]