Combining Texts

All the ideas for 'Through the Looking Glass', 'Science without Numbers' and 'Discourse on Metaphysics'

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35 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
19342 Reason avoids multiplying hypotheses or principles [Leibniz]
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
18216 Abstractions can form useful counterparts to concrete statements [Field,H]
18214 Mathematics is only empirical as regards which theory is useful [Field,H]
18210 Why regard standard mathematics as truths, rather than as interesting fictions? [Field,H]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
21982 I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
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 / 12. Denial of Properties
8959 Field presumes properties can be eliminated from science [Field,H, by Szabó]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
12711 The immediate cause of movements is more real [than geometry] [Leibniz]
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 / B. Unity of Objects / 2. Substance / a. Substance
19349 The complete notion of a substance implies all of its predicates or attributes [Leibniz]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
7558 Substances mirror God or the universe, each from its own viewpoint [Leibniz]
9. Objects / C. Structure of Objects / 2. Hylomorphism / b. Form as principle
16761 Forms are of no value in physics, but are indispensable in metaphysics [Leibniz]
9. Objects / D. Essence of Objects / 1. Essences of Objects
13088 Subjects include predicates, so full understanding of subjects reveals all the predicates [Leibniz]
10. Modality / E. Possible worlds / 3. Transworld Objects / d. Haecceitism
13085 Leibniz is some form of haecceitist [Leibniz, by Cover/O'Leary-Hawthorne]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
5024 Knowledge doesn't just come from the senses; we know the self, substance, identity, being etc. [Leibniz]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
18222 Beneath every extrinsic explanation there is an intrinsic explanation [Field,H]
16. Persons / D. Continuity of the Self / 2. Mental Continuity / a. Memory is Self
5027 If a person's memories became totally those of the King of China, he would be the King of China [Leibniz]
16. Persons / F. Free Will / 1. Nature of Free Will
5023 Future contingent events are certain, because God foresees them, but that doesn't make them necessary [Leibniz]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
2119 People argue for God's free will, but it isn't needed if God acts in perfection following supreme reason [Leibniz]
17. Mind and Body / A. Mind-Body Dualism / 4. Occasionalism
5025 Mind and body can't influence one another, but God wouldn't intervene in the daily routine [Leibniz]
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 / 1. Nature of Ethics / a. Preconditions for ethics
5026 Animals lack morality because they lack self-reflection [Leibniz]
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]