Combining Texts

All the ideas for 'fragments/reports', 'Substance' and 'Must We Believe in Set Theory?'

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25 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
10482 The logic of ZF is classical first-order predicate logic with identity [Boolos]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
10492 A few axioms of set theory 'force themselves on us', but most of them don't [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
10485 Naïve sets are inconsistent: there is no set for things that do not belong to themselves [Boolos]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
10484 The iterative conception says sets are formed at stages; some are 'earlier', and must be formed first [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
10491 Infinite natural numbers is as obvious as infinite sentences in English [Boolos]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
10483 Mathematics and science do not require very high orders of infinity [Boolos]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10490 Mathematics isn't surprising, given that we experience many objects as abstract [Boolos]
8. Modes of Existence / A. Relations / 4. Formal Relations / c. Ancestral relation
12056 An ancestral relation is either direct or transitively indirect [Wiggins]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
12050 Substances contain a source of change or principle of activity [Wiggins]
8. Modes of Existence / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
10487 I am a fan of abstract objects, and confident of their existence [Boolos]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
10489 We deal with abstract objects all the time: software, poems, mistakes, triangles.. [Boolos]
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
12052 We never single out just 'this', but always 'this something-or-other' [Wiggins]
12055 Sortal predications are answers to the question 'what is x?' [Wiggins]
12059 A river may change constantly, but not in respect of being a river [Wiggins]
12063 Sortal classification becomes science, with cross reference clarifying individuals [Wiggins]
12051 If the kinds are divided realistically, they fall into substances [Wiggins]
12053 'Human being' is a better answer to 'what is it?' than 'poet', as the latter comes in degrees [Wiggins]
12054 Secondary substances correctly divide primary substances by activity-principles and relations [Wiggins]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12047 We refer to persisting substances, in perception and in thought, and they aid understanding [Wiggins]
9. Objects / C. Structure of Objects / 3. Matter of an Object
12057 Matter underlies things, composes things, and brings them to be [Wiggins]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
12064 The category of substance is more important for epistemology than for ontology [Wiggins]
12049 Naming the secondary substance provides a mass of general information [Wiggins]
15. Nature of Minds / C. Capacities of Minds / 4. Objectification
12065 Seeing a group of soldiers as an army is irresistible, in ontology and explanation [Wiggins]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
468 Musical performance can reveal a range of virtues [Damon of Ath.]