Combining Texts

All the ideas for 'Reply to 'Rorarius' 2nd ed', 'Defending the Axioms' and 'Value Theory'

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22 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]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
18680 To avoid misunderstandings supervenience is often expressed negatively: no A-change without B-change [Orsi]
20. Action / C. Motives for Action / 3. Acting on Reason / c. Reasons as causes
18684 Rather than requiring an action, a reason may 'entice' us, or be 'eligible', or 'justify' it [Orsi]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
18666 Value-maker concepts (such as courageous or elegant) simultaneously describe and evaluate [Orsi]
18667 The '-able' concepts (like enviable) say this thing deserves a particular response [Orsi]
18685 Final value is favoured for its own sake, and personal value for someone's sake [Orsi]
18679 Things are only valuable if something makes it valuable, and we can ask for the reason [Orsi]
18682 A complex value is not just the sum of the values of the parts [Orsi]
18683 Trichotomy Thesis: comparable values must be better, worse or the same [Orsi]
18686 The Fitting Attitude view says values are fitting or reasonable, and values are just byproducts [Orsi]
22. Metaethics / B. Value / 1. Nature of Value / c. Objective value
18672 Values from reasons has the 'wrong kind of reason' problem - admiration arising from fear [Orsi]
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
18677 A thing may have final value, which is still derived from other values, or from relations [Orsi]
22. Metaethics / B. Value / 2. Values / a. Normativity
18668 Truths about value entail normative truths about actions or attitudes [Orsi]
18670 The Buck-Passing view of normative values says other properties are reasons for the value [Orsi]
18669 Values can be normative in the Fitting Attitude account, where 'good' means fitting favouring [Orsi]
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
19384 Space and time are the order of all possibilities, and don't just relate to what is actual [Leibniz]