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All the ideas for 'fragments/reports', 'Regressive Method for Premises in Mathematics' and 'Maxims'

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21 ideas

1. Philosophy / A. Wisdom / 2. Wise People
To try to be wise all on one's own is folly [Rochefoucauld]
     Full Idea: To try to be wise all on one's own is sheer folly.
     From: La Rochefoucauld (Maxims [1663], 231)
     A reaction: I agree strongly with this. There are counter-examples, of whom Spinoza may be the greatest, and Nietzsche thought that philosophy was essentially a solitary business, but most of us are not Spinoza or Nietzsche.
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
     Full Idea: Any new discovery as to mathematical method and principles is likely to upset a great deal of otherwise plausible philosophising, as well as to suggest a new philosophy which will be solid in proportion as its foundations in mathematics are securely laid.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.283)
     A reaction: This is a manifesto for modern analytic philosophy. I'm not convinced, especially if a fictionalist view of maths is plausible. What Russell wants is rigour, but there are other ways of getting that. Currently I favour artificial intelligence.
2. Reason / A. Nature of Reason / 6. Coherence
If one proposition is deduced from another, they are more certain together than alone [Russell]
     Full Idea: Two obvious propositions of which one can be deduced from the other both become more certain than either in isolation; thus in a complicated deductive system, many parts of which are obvious, the total probability may become all but absolute certainty.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279)
     A reaction: Thagard picked this remark out, in support of his work on coherence.
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Non-contradiction was learned from instances, and then found to be indubitable [Russell]
     Full Idea: The law of contradiction must have been originally discovered by generalising from instances, though, once discovered, it was found to be quite as indubitable as the instances.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.274)
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Which premises are ultimate varies with context [Russell]
     Full Idea: Premises which are ultimate in one investigation may cease to be so in another.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.273)
The sources of a proof are the reasons why we believe its conclusion [Russell]
     Full Idea: In mathematics, except in the earliest parts, the propositions from which a given proposition is deduced generally give the reason why we believe the given proposition.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.273)
Finding the axioms may be the only route to some new results [Russell]
     Full Idea: The premises [of a science] ...are pretty certain to lead to a number of new results which could not otherwise have been known.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.282)
     A reaction: I identify this as the 'fruitfulness' that results when the essence of something is discovered.
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
     Full Idea: It is an apparent absurdity in proceeding ...through many rather recondite propositions of symbolic logic, to the 'proof' of such truisms as 2+2=4: for it is plain that the conclusion is more certain than the premises, and the supposed proof seems futile.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.272)
     A reaction: Famously, 'Principia Mathematica' proved this fact at enormous length. I wonder if this thought led Moore to his common sense view of his own hand - the conclusion being better than the sceptical arguments?
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
Arithmetic was probably inferred from relationships between physical objects [Russell]
     Full Idea: When 2 + 2 =4 was first discovered, it was probably inferred from the case of sheep and other concrete cases.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.272)
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
     Full Idea: Even where there is the highest degree of obviousness, we cannot assume that we are infallible - a sufficient conflict with other obvious propositions may lead us to abandon our belief, as in the case of a hallucination afterwards recognised as such.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279)
     A reaction: This approach to fallibilism seems to arise from the paradox that undermined Frege's rather obvious looking axioms. After Peirce and Russell, fallibilism has become a secure norm of modern thought.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Believing a whole science is more than believing each of its propositions [Russell]
     Full Idea: Although intrinsic obviousness is the basis of every science, it is never, in a fairly advanced science, the whole of our reason for believing any one proposition of the science.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.279)
14. Science / C. Induction / 2. Aims of Induction
Induction is inferring premises from consequences [Russell]
     Full Idea: The inferring of premises from consequences is the essence of induction.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.274)
     A reaction: So induction is just deduction in reverse? Induction is transcendental deduction? Do I deduce the premises from observing a lot of white swans? Hm.
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
La Rochefoucauld's idea of disguised self-love implies an unconscious mind [Rochefoucauld, by Sartre]
     Full Idea: La Rochefoucauld is one of the first to have made use of the unconscious without naming it: for him, amour-propre conceals itself in the most diverse disguises.
     From: report of La Rochefoucauld (Maxims [1663]) by Jean-Paul Sartre - Transcendence of the Ego I (C)
     A reaction: It seems odd that no one before that ever thought that someone might have hidden motives of which even they themselves were unaware. How about Iago, or Macbeth, or Hamlet? It is a profound change in our view of human nature.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
22. Metaethics / B. Value / 2. Values / g. Love
Judging by effects, love looks more like hatred than friendship [Rochefoucauld]
     Full Idea: If love be judged by its most visible effects it looks more like hatred than friendship.
     From: La Rochefoucauld (Maxims [1663], 072)
     A reaction: Presumably he is thinking of pursuit, possession and jealousy. The remark is plausible if you add the word 'sometimes' to it, but as a universal generalisation it is ridiculous, the product of a society where they competed to exceed in cynicism.
22. Metaethics / C. The Good / 1. Goodness / e. Good as knowledge
Supreme cleverness is knowledge of the real value of things [Rochefoucauld]
     Full Idea: Supreme cleverness is knowledge of the real value of things.
     From: La Rochefoucauld (Maxims [1663], 244)
     A reaction: Good. Right at the heart of wisdom is some kind of grasp of right values. It is so complex and subtle that it seems like pure intuition, but I am sure that reason is involved. 'Intelligent' people tend to be better at it. Some justifications can be given.
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Realising our future misery is a kind of happiness [Rochefoucauld]
     Full Idea: To realise how much misery we have to face is in itself a kind of happiness.
     From: La Rochefoucauld (Maxims [1663], 570)
     A reaction: Probably true. Knowing that you have got hold of the truth is a sort of happiness in any area, no matter how grim the truth. However, a happy life could easily be poisoned by brooding on the future. Should the happily married brood on future solitude?
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
Virtue doesn't go far without the support of vanity [Rochefoucauld]
     Full Idea: Virtue would not go far without vanity to bear it company.
     From: La Rochefoucauld (Maxims [1663], 200)
     A reaction: Rochefoucauld's cynicism gets a bit tedious, but lovers of virtue must face up to this possibility when they consider what motivates them. At the heart of Aristotle there is a missing question, of what is so good about right-functioning and virtue.
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
True friendship is even rarer than true love [Rochefoucauld]
     Full Idea: Rare though true love may be, true friendship is rarer still.
     From: La Rochefoucauld (Maxims [1663], 473)
     A reaction: This seems to be true. Our culture doesn't encourage friendship as a high ideal. Are women better at friendship than men? Which culture, past or present, led to the greatest flourishing of friendship? Epicurus's Garden?
23. Ethics / F. Existentialism / 4. Boredom
We are bored by people to whom we ourselves are boring [Rochefoucauld]
     Full Idea: Almost always we are bored by people to whom we ourselves are boring.
     From: La Rochefoucauld (Maxims [1663], 555)
     A reaction: An obvious exception would be a celebrity being bored with their fans. Their very excess of interest is precisely what is boring. If two people communicate well, it is unlikely that either of them will ever be bored.
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The law of gravity has many consequences beyond its grounding observations [Russell]
     Full Idea: The law of gravitation leads to many consequences which could not be discovered merely from the apparent motions of the heavenly bodies.
     From: Bertrand Russell (Regressive Method for Premises in Mathematics [1907], p.275)