Combining Texts

All the ideas for 'Regressive Method for Premises in Mathematics', '06: Epistle to the Romans' and 'Nature and Utility of Religion'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
17641 Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
2. Reason / A. Nature of Reason / 6. Coherence
17638 If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
17632 Non-contradiction was learned from instances, and then found to be indubitable [Russell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17629 Which premises are ultimate varies with context [Russell]
17630 The sources of a proof are the reasons why we believe its conclusion [Russell]
17640 Finding the axioms may be the only route to some new results [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17627 It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17628 Arithmetic was probably inferred from relationships between physical objects [Russell]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
17637 The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / a. Innate knowledge
5052 When Gentiles follow the law, they must have the law written in their hearts [Paul]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
17639 Believing a whole science is more than believing each of its propositions [Russell]
14. Science / C. Induction / 2. Aims of Induction
17631 Induction is inferring premises from consequences [Russell]
24. Political Theory / D. Ideologies / 10. Theocracy
7572 Power is ordained by God, so anyone who resists power resists God, and will be damned [Paul]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
17633 The law of gravity has many consequences beyond its grounding observations [Russell]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
21332 We don't get a love of 'order' from nature - which is thoroughly chaotic [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / a. Problem of Evil
21333 Evil comes from good just as often as good comes from evil [Mill]
21335 Belief that an afterlife is required for justice is an admission that this life is very unjust [Mill]
21334 No necessity ties an omnipotent Creator, so he evidently wills human misery [Mill]
29. Religion / D. Religious Issues / 3. Problem of Evil / d. Natural Evil
21329 Nature dispenses cruelty with no concern for either mercy or justice [Mill]
21328 Killing is a human crime, but nature kills everyone, and often with great tortures [Mill]
21330 Nature makes childbirth a miserable experience, often leading to the death of the mother [Mill]
21331 Hurricanes, locusts, floods and blight can starve a million people to death [Mill]