Combining Texts

All the ideas for 'talk', 'Believing the Axioms I' and 'Scientific Objectivity'

expand these ideas     |    start again     |     specify just one area for these texts

20 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
22353 One view says objectivity is making a successful claim which captures the facts [Reiss/Sprenger]
22356 An absolute scientific picture of reality must not involve sense experience, which is perspectival [Reiss/Sprenger]
22359 Topic and application involve values, but can evidence and theory choice avoid them? [Reiss/Sprenger]
22360 The Value-Free Ideal in science avoids contextual values, but embraces epistemic values [Reiss/Sprenger]
22362 Value-free science needs impartial evaluation, theories asserting facts, and right motivation [Reiss/Sprenger]
22364 Thermometers depend on the substance used, and none of them are perfect [Reiss/Sprenger]
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]
13. Knowledge Criteria / E. Relativism / 2. Knowledge as Convention
1556 By nature people are close to one another, but culture drives them apart [Hippias]
14. Science / A. Basis of Science / 3. Experiment
22357 The 'experimenter's regress' says success needs reliability, which is only tested by success [Reiss/Sprenger]
14. Science / C. Induction / 6. Bayes's Theorem
22365 The Bayesian approach is explicitly subjective about probabilities [Reiss/Sprenger]