Combining Texts

All the ideas for 'Habermas', 'Science without Numbers' and 'Ordinatio'

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32 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
9570 In Field's Platonist view, set theory is false because it asserts existence for non-existent things [Field,H, by Chihara]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
10260 Logical consequence is defined by the impossibility of P and ¬q [Field,H, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
8958 In Field's version of science, space-time points replace real numbers [Field,H, by Szabó]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
18221 'Metric' axioms uses functions, points and numbers; 'synthetic' axioms give facts about space [Field,H]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
8757 The Indispensability Argument is the only serious ground for the existence of mathematical entities [Field,H]
6. Mathematics / C. Sources of Mathematics / 3. Mathematical Nominalism
18212 Nominalists try to only refer to physical objects, or language, or mental constructions [Field,H]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
10261 The application of mathematics only needs its possibility, not its truth [Field,H, by Shapiro]
18218 Hilbert explains geometry, by non-numerical facts about space [Field,H]
9623 Field needs a semantical notion of second-order consequence, and that needs sets [Brown,JR on Field,H]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
18215 It seems impossible to explain the idea that the conclusion is contained in the premises [Field,H]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
18214 Mathematics is only empirical as regards which theory is useful [Field,H]
18216 Abstractions can form useful counterparts to concrete statements [Field,H]
18210 Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
18211 You can reduce ontological commitment by expanding the logic [Field,H]
8. Modes of Existence / B. Properties / 1. Nature of Properties
16648 Accidents must have formal being, if they are principles of real action, and of mental action and thought [Duns Scotus]
8. Modes of Existence / B. Properties / 12. Denial of Properties
8959 Field presumes properties can be eliminated from science [Field,H, by Szabó]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
15386 If only the singular exists, science is impossible, as that relies on true generalities [Duns Scotus, by Panaccio]
15387 If things were singular they would only differ numerically, but horse and tulip differ more than that [Duns Scotus, by Panaccio]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
18213 Abstract objects are only applicable to the world if they are impure, and connect to the physical [Field,H]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
16632 We distinguish one thing from another by contradiction, because this is, and that is not [Duns Scotus]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
13094 The haecceity is the featureless thing which gives ultimate individuality to a substance [Duns Scotus, by Cover/O'Leary-Hawthorne]
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
16770 It is absurd that there is no difference between a genuinely unified thing, and a mere aggregate [Duns Scotus]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
10919 What prevents a stone from being divided into parts which are still the stone? [Duns Scotus]
9. Objects / F. Identity among Objects / 8. Leibniz's Law
16768 Two things are different if something is true of one and not of the other [Duns Scotus]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
18222 Beneath every extrinsic explanation there is an intrinsic explanation [Field,H]
18. Thought / E. Abstraction / 4. Abstracta by Example
9917 'Abstract' is unclear, but numbers, functions and sets are clearly abstract [Field,H]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
15675 We don't condemn people for being bad at reasoning [Finlayson]
23. Ethics / D. Deontological Ethics / 3. Universalisability
15674 One can universalise good advice, but that doesn't make it an obligation [Finlayson]
24. Political Theory / B. Nature of a State / 5. Culture
15662 The 'culture industry' is an advertisement for the way things are [Finlayson]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
18223 In theories of fields, space-time points or regions are causal agents [Field,H]
27. Natural Reality / C. Space / 4. Substantival Space
18220 Both philosophy and physics now make substantivalism more attractive [Field,H]
27. Natural Reality / C. Space / 5. Relational Space
18219 Relational space is problematic if you take the idea of a field seriously [Field,H]