Combining Texts

All the ideas for 'Sets and Numbers', 'A Pragmatic Conception of the A Priori' and 'Tusculan Disputations'

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25 ideas

1. Philosophy / A. Wisdom / 2. Wise People
5893 A wise man has integrity, firmness of will, nobility, consistency, sobriety, patience [Cicero]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
5891 Philosophy is the collection of rational arguments [Cicero]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17824 The master science is physical objects divided into sets [Maddy]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9358 There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9357 Excluded middle is just our preference for a simplified dichotomy in experience [Lewis,CI]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
9364 Names represent a uniformity in experience, or they name nothing [Lewis,CI]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17825 Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
17826 Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
17828 Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17827 Sets exist where their elements are, but numbers are more like universals [Maddy]
17830 Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17823 If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
17829 Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
10. Modality / A. Necessity / 11. Denial of Necessity
9362 Necessary truths are those we will maintain no matter what [Lewis,CI]
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
9365 We can maintain a priori principles come what may, but we can also change them [Lewis,CI]
15. Nature of Minds / A. Nature of Mind / 2. Psuche
5879 The soul is the heart, or blood in the heart, or part of the brain, of something living in heart or brain, or breath [Cicero]
15. Nature of Minds / A. Nature of Mind / 5. Unity of Mind
5884 How can one mind perceive so many dissimilar sensations? [Cicero]
5887 The soul has a single nature, so it cannot be divided, and hence it cannot perish [Cicero]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
5886 Like the eye, the soul has no power to see itself, but sees other things [Cicero]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / a. Physicalism critique
5885 Souls contain no properties of elements, and elements contain no properties of souls [Cicero]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9361 We have to separate the mathematical from physical phenomena by abstraction [Lewis,CI]
23. Ethics / C. Virtue Theory / 3. Virtues / f. Compassion
5890 We should not share the distress of others, but simply try to relieve it [Cicero]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
5894 All men except philosophers fear poverty [Cicero]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
5895 If one despises illiterate mechanics individually, they are not worth more collectively [Cicero]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
9363 Science seeks classification which will discover laws, essences, and predictions [Lewis,CI]