Combining Texts

All the ideas for 'Centring', 'Carving Content at the Joints' and 'Believing the Axioms I'

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20 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
13011 New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
13013 The Axiom of Extensionality seems to be analytic [Maddy]
13014 Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
13021 The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
13022 Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
13023 The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
13024 Efforts to prove the Axiom of Choice have failed [Maddy]
13025 Modern views say the Choice set exists, even if it can't be constructed [Maddy]
13026 A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
13019 The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
13018 Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
8228 Being is revealed at the point between waking and sleep [Anon (Cent)]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
8232 Neglect your self, and feel the consciousness of each other being [Anon (Cent)]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
10805 A sentence should be recarved to reveal its content or implication relations [Yablo]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
8230 Just as you have the impulse to do something, stop [Anon (Cent)]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
8234 Bondage and liberation are relative terms, which only frighten those already terrified of the universe [Anon (Cent)]
29. Religion / C. Spiritual Disciplines / 4. Zen Buddhism
8227 Feel your whole body saturated with cosmic essence [Anon (Cent)]
8231 Abandon attachment to body, and feel the joy of being everywhere [Anon (Cent)]
8229 The serenity in blue sky beyond clouds [Anon (Cent)]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
8233 Imagine fire burning up your whole body, but not you [Anon (Cent)]