Combining Texts

All the ideas for 'Defending the Axioms', 'Sources of the Self' and 'fragments/reports'

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20 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
10. Modality / A. Necessity / 10. Impossibility
5998 From the necessity of the past we can infer the impossibility of what never happens [Diod.Cronus, by White,MJ]
10. Modality / B. Possibility / 1. Possibility
20832 The Master Argument seems to prove that only what will happen is possible [Diod.Cronus, by Epictetus]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
14304 Conditionals are true when the antecedent is true, and the consequent has to be true [Diod.Cronus]
16. Persons / A. Concept of a Person / 4. Persons as Agents
4020 The modern self has disengaged reason, self-exploration, and personal commitment [Taylor,C]
16. Persons / B. Nature of the Self / 2. Ethical Self
4002 My aim is to map the connections between our sense of self and our moral understanding [Taylor,C]
16. Persons / E. Rejecting the Self / 3. Narrative Self
4006 I can only be aware of myself as a person who changes by means of my personal history [Taylor,C]
19. Language / D. Propositions / 4. Mental Propositions
6024 Thought is unambiguous, and you should stick to what the speaker thinks they are saying [Diod.Cronus, by Gellius]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
4003 Selfhood and moral values are inextricably intertwined [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
4021 Willingness to risk life was the constitutive quality of the man of honour [Taylor,C]
23. Ethics / C. Virtue Theory / 3. Virtues / h. Respect
4005 To have respect for people, you must feel their claims, or their injustices, or hold them in awe [Taylor,C]
23. Ethics / D. Deontological Ethics / 4. Categorical Imperative
4004 Consistency presupposes intrinsic description [Taylor,C]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
4010 In later utilitarianism the modern stress on freedom leads to the rejection of paternalism [Taylor,C]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
4009 Nominalists defended the sovereignty of God against the idea of natural existing good and evil [Taylor,C]