Combining Texts

All the ideas for 'Defending the Axioms', 'Convergence' and 'Letters'

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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]
15. Nature of Minds / C. Capacities of Minds / 1. Faculties
20657 There are 23 core brain functions, with known circuit, transmitters, genes and behaviour [Watson]
17. Mind and Body / E. Mind as Physical / 1. Physical Mind
20656 Traditional ideas of the mind were weakened in the 1950s by mind-influencing drugs [Watson]
21. Aesthetics / C. Artistic Issues / 1. Artistic Intentions
23903 When we admire a work, we see ourselves as its creator [Weil]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
20655 Humans have been hunter-gatherers for 99.5% of their existence [Watson]
25. Social Practice / B. Equalities / 1. Grounds of equality
23901 Relationships depend on equality, so unequal treatment kills them [Weil]
26. Natural Theory / C. Causation / 7. Eliminating causation
20650 The Uncertainty Principle implies that cause and effect can't be measured [Watson]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / a. Electrodynamics
20649 The interference of light through two slits confirmed that it is waves [Watson]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / c. Electrons
20661 Electrons rotate in hyrogen atoms 10^13 times per second [Watson]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / d. Quantum mechanics
20647 Quantum theory explains why nature is made up of units, such as elements [Watson]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
20654 Only four particles are needed for matter: up and down quark, electron, electron-neutrino [Watson]
27. Natural Reality / F. Chemistry / 1. Chemistry
20651 The shape of molecules is important, as well as the atoms and their bonds [Watson]
27. Natural Reality / G. Biology / 2. Life
20652 In 1828 the animal substance urea was manufactured from inorganic ingredients [Watson]
20658 Information is physical, and living can be seen as replicating and preserving information [Watson]
29. Religion / B. Monotheistic Religion / 5. Bible
23904 The cruelty of the Old Testament put me off Christianity [Weil]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
23902 I attach little importance to immortality, which is an undecidable fact, and irrelevant to us [Weil]