Combining Texts

All the ideas for 'works', 'Miscellaneous Observations' and 'Must We Believe in Set Theory?'

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23 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
6806 Do not multiply entities beyond necessity [William of Ockham]
3. Truth / A. Truth Problems / 3. Value of Truth
19574 If man sacrifices truth he sacrifices himself, by acting against his own convictions [Novalis]
3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
19571 Delusion and truth differ in their life functions [Novalis]
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 / D. Universals / 1. Universals
10488 It is lunacy to think we only see ink-marks, and not word-types [Boolos]
8. Modes of Existence / D. Universals / 5. Universals as Concepts
22132 Species and genera are individual concepts which naturally signify many individuals [William of Ockham]
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 / D. Essence of Objects / 3. Individual Essences
19575 Refinement of senses increasingly distinguishes individuals [Novalis]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
19572 Experiences tests reason, and reason tests experience [Novalis]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
19573 The seat of the soul is where our inner and outer worlds interpenetrate [Novalis]
18. Thought / E. Abstraction / 2. Abstracta by Selection
19577 Everything is a chaotic unity, then we abstract, then we reunify the world into a free alliance [Novalis]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
19578 Only self-illuminated perfect individuals are beautiful [Novalis]
27. Natural Reality / D. Time / 1. Nature of Time / i. Denying time
19381 The past has ceased to exist, and the future does not yet exist, so time does not exist [William of Ockham]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
8010 William of Ockham is the main spokesman for God's commands being the source of morality [William of Ockham]
29. Religion / B. Monotheistic Religion / 4. Christianity / c. Angels
16679 Even an angel must have some location [William of Ockham, by Pasnau]
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
19576 Religion needs an intermediary, because none of us can connect directly to a godhead [Novalis]