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All the ideas for 'Philosophy of Mathematics', 'A Free Will' and 'Principia Ethica'

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25 ideas

1. Philosophy / C. History of Philosophy / 2. Ancient Philosophy / e. Late classical philosophy
23326 In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M]
23335 In late antiquity nearly all philosophers were monotheists [Frede,M]
2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
16. Persons / F. Free Will / 2. Sources of Free Will
23333 The idea of free will achieved universal acceptance because of Christianity [Frede,M]
23337 The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M]
23334 For Christians man has free will by creation in God's image (as in Genesis) [Frede,M]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
23336 There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
21233 The beautiful is whatever it is intrinsically good to admire [Moore,GE]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
8039 Moore tries to show that 'good' is indefinable, but doesn't understand what a definition is [MacIntyre on Moore,GE]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / a. Idealistic ethics
22151 The Open Question argument leads to anti-realism and the fact-value distinction [Boulter on Moore,GE]
11056 The naturalistic fallacy claims that natural qualties can define 'good' [Moore,GE]
8033 Moore cannot show why something being good gives us a reason for action [MacIntyre on Moore,GE]
8032 Can learning to recognise a good friend help us to recognise a good watch? [MacIntyre on Moore,GE]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
11050 Moore's combination of antinaturalism with strong supervenience on the natural is incoherent [Hanna on Moore,GE]
23726 Despite Moore's caution, non-naturalists incline towards intuitionism [Moore,GE, by Smith,M]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
18676 We should ask what we would judge to be good if it existed in absolute isolation [Moore,GE]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
11057 It is always an open question whether anything that is natural is good [Moore,GE]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
5925 The three main values are good, right and beauty [Moore,GE, by Ross]
22. Metaethics / C. The Good / 1. Goodness / c. Right and good
5902 For Moore, 'right' is what produces good [Moore,GE, by Ross]
5903 'Right' means 'cause of good result' (hence 'useful'), so the end does justify the means [Moore,GE]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
5907 Relationships imply duties to people, not merely the obligation to benefit them [Ross on Moore,GE]
29. Religion / A. Polytheistic Religion / 4. Dualist Religion
23313 The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M]