Combining Texts

All the ideas for 'Defending the Axioms', 'Meaning and Reference' and 'The Empirical Stance'

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20 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy is a value- and attitude-driven enterprise [Fraassen]
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen]
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analytic philosophy has an exceptional arsenal of critical tools [Fraassen]
2. Reason / A. Nature of Reason / 6. Coherence
We may end up with a huge theory of carefully constructed falsehoods [Fraassen]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
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
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
10. Modality / D. Knowledge of Modality / 1. A Priori Necessary
A statement can be metaphysically necessary and epistemologically contingent [Putnam]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Conceivability is no proof of possibility [Putnam]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
Inference to best explanation contains all sorts of hidden values [Fraassen]
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
We accept many scientific theories without endorsing them as true [Fraassen]
18. Thought / C. Content / 6. Broad Content
I can't distinguish elm trees, but I mean by 'elm' the same set of trees as everybody else [Putnam]
'Water' has an unnoticed indexical component, referring to stuff around here [Putnam]
19. Language / B. Reference / 3. Direct Reference / c. Social reference
We need to recognise the contribution of society and of the world in determining reference [Putnam]
19. Language / F. Communication / 4. Private Language
Language is more like a cooperative steamship than an individual hammer [Putnam]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / b. Scientific necessity
If water is H2O in the actual world, there is no possible world where it isn't H2O [Putnam]