Combining Texts

All the ideas for 'Defending the Axioms', 'The Moral Problem' and 'On the Essence of Human Freedom'

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28 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
23728 Analysis aims to express the full set of platitudes surrounding a given concept [Smith,M]
2. Reason / D. Definition / 1. Definitions
23744 Defining a set of things by paradigms doesn't pin them down enough [Smith,M]
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]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
23743 Capturing all the common sense facts about rationality is almost impossible [Smith,M]
20. Action / C. Motives for Action / 1. Acting on Desires
23739 Goals need desires, and so only desires can motivate us [Smith,M]
23724 A pure desire could be criticised if it were based on a false belief [Smith,M]
23736 A person can have a desire without feeling it [Smith,M]
23723 In the Humean account, desires are not true/false, or subject to any rational criticism [Smith,M]
23735 Subjects may be fallible about the desires which explain their actions [Smith,M]
23738 Humeans (unlike their opponents) say that desires and judgements can separate [Smith,M]
23742 If first- and second-order desires conflict, harmony does not require the second-order to win [Smith,M]
23746 Objective reasons to act might be the systematic desires of a fully rational person [Smith,M]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
23733 Motivating reasons are psychological, while normative reasons are external [Smith,M]
23740 Humeans take maximising desire satisfaction as the normative reasons for actions [Smith,M]
23745 We cannot expect even fully rational people to converge on having the same desires for action [Smith,M]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / h. Against ethics
23731 'Externalists' say moral judgements are not reasons, and maybe not even motives [Smith,M]
23732 A person could make a moral judgement without being in any way motivated by it [Smith,M]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
23729 Moral internalism says a judgement of rightness is thereby motivating [Smith,M]
23730 'Rationalism' says the rightness of an action is a reason to perform it [Smith,M]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
20956 Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
23727 Expressivists count attitudes as 'moral' if they concern features of things, rather than their mere existence [Smith,M]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
23741 Is valuing something a matter of believing or a matter of desiring? [Smith,M]