Combining Texts

All the ideas for 'fragments/reports', 'The Protestant Ethic and the Spirit of Capitalism' and 'Defending the Axioms'

expand these ideas     |    start again     |     specify just one area for these texts


15 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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
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
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
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
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
23. Ethics / D. Deontological Ethics / 2. Duty
The idea of duty in one's calling haunts us, like a lost religion [Weber]
24. Political Theory / D. Ideologies / 11. Capitalism
Acquisition and low consumption lead to saving, investment, and increased wealth [Weber]
When asceticism emerged from the monasteries, it helped to drive the modern economy [Weber]
Capitalism is not unlimited greed, and may even be opposed to greed [Weber]
Modern western capitalism has free labour, business separate from household, and book-keeping [Weber]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Punish the heretic, but be indulgent to the sinner [Weber]