Combining Texts

All the ideas for 'Defending the Axioms', 'Scientific Objectivity' and 'Ontological Relativity'

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22 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 / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
21642 If quantification is all substitutional, there is no ontology [Quine]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
1633 Absolute ontological questions are meaningless, because the answers are circular definitions [Quine]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / d. Commitment of theories
18964 Ontology is relative to both a background theory and a translation manual [Quine]
9. Objects / F. Identity among Objects / 1. Concept of Identity
18965 We know what things are by distinguishing them, so identity is part of ontology [Quine]
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
1634 Two things are relative - the background theory, and translating the object theory into the background theory [Quine]
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]
19. Language / B. Reference / 1. Reference theories
8470 Reference is inscrutable, because we cannot choose between theories of numbers [Quine, by Orenstein]
19. Language / F. Communication / 6. Interpreting Language / b. Indeterminate translation
18963 Indeterminacy translating 'rabbit' depends on translating individuation terms [Quine]