Combining Texts

All the ideas for 'Defending the Axioms', 'works' and 'A History of God'

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14 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]
19. Language / F. Communication / 4. Private Language
8478 Dewey argued long before Wittgenstein that there could not seriously be a private language [Dewey, by Orenstein]
28. God / A. Divine Nature / 4. Divine Contradictions
7602 In the Bible God changes his mind (repenting of creating humanity, in the Flood) [Armstrong,K]
28. God / C. Attitudes to God / 1. Monotheism
7605 Monotheism introduced intolerance into religious thinking [Armstrong,K]
29. Religion / A. Polytheistic Religion / 3. Hinduism
7599 Around 800 BCE teachers superseded gods in India [Armstrong,K]
29. Religion / B. Monotheistic Religion / 2. Judaism
7597 There is virtually no sign of monotheism in the Pentateuch [Armstrong,K]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
7606 The idea that Jesus was God was only settled in the fourth century [Armstrong,K]
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
7596 Faith is not just belief in propositions, but also putting trust in them [Armstrong,K]