Combining Texts

All the ideas for 'The Theory of Relativity and A Priori Knowledge', 'Philosophy of Language' and 'Believing the Axioms I'

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21 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]
5. Theory of Logic / F. Referring in Logic / 1. Naming / c. Names as referential
7306 If the only property of a name was its reference, we couldn't explain bearerless names [Miller,A]
12. Knowledge Sources / B. Perception / 5. Interpretation
18278 Kant showed that our perceptions are partly constructed from our concepts [Reichenbach]
13. Knowledge Criteria / D. Scepticism / 2. Types of Scepticism
7322 Constitutive scepticism is about facts, and epistemological scepticism about our ability to know them [Miller,A]
17. Mind and Body / B. Behaviourism / 2. Potential Behaviour
7325 Dispositions say what we will do, not what we ought to do, so can't explain normativity [Miller,A]
19. Language / A. Nature of Meaning / 1. Meaning
7324 Explain meaning by propositional attitudes, or vice versa, or together? [Miller,A]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
7323 If truth is deflationary, sentence truth-conditions just need good declarative syntax [Miller,A]
19. Language / E. Analyticity / 2. Analytic Truths
7315 'Jones is a married bachelor' does not have the logical form of a contradiction [Miller,A]
19. Language / F. Communication / 6. Interpreting Language / c. Principle of charity
7328 The principle of charity is holistic, saying we must hold most of someone's system of beliefs to be true [Miller,A]
7329 Maybe we should interpret speakers as intelligible, rather than speaking truth [Miller,A]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
7333 The Frege-Geach problem is that I can discuss the wrongness of murder without disapproval [Miller,A]