Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Brian Davies and Arnauld / Nicole

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21 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18085 Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
18084 When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
10502 We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
12. Knowledge Sources / B. Perception / 3. Representation
18258 We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
16784 Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
10499 We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
10501 A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
10500 No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
28. God / A. Divine Nature / 5. God and Time
20712 God is 'eternal' either by being non-temporal, or by enduring forever [Davies,B]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
20701 Can God be good, if he has not maximised goodness? [Davies,B]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
20702 The goodness of God may be a higher form than the goodness of moral agents [Davies,B]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
20703 How could God have obligations? What law could possibly impose them? [Davies,B]
28. God / B. Proving God / 1. Proof of God
20694 'Natural theology' aims to prove God to anyone (not just believers) by reason or argument [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / a. Cosmological Proof
20706 A distinct cause of the universe can't be material (which would be part of the universe) [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
20707 The universe exhibits design either in its sense of purpose, or in its regularity [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / c. Teleological Proof critique
20708 If God is an orderly being, he cannot be the explanation of order [Davies,B]
28. God / B. Proving God / 3. Proofs of Evidence / d. Religious Experience
20710 Maybe an abnormal state of mind is needed to experience God? [Davies,B]
20711 A believer can experience the world as infused with God [Davies,B]
20709 The experiences of God are inconsistent, not universal, and untestable [Davies,B]
29. Religion / D. Religious Issues / 1. Religious Commitment / b. Religious Meaning
20697 One does not need a full understanding of God in order to speak of God [Davies,B]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
20699 Paradise would not contain some virtues, such as courage [Davies,B]