Combining Texts

All the ideas for 'fragments/reports', 'A History of God' and 'Principles of Arithmetic, by a new method'

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13 ideas

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]
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7599 Around 800 BCE teachers superseded gods in India [Armstrong,K]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]